Browse Geometry problems Studdy Solved!

Problem 1101

correction de Capplication 2! Srit deur nobiles Met $P$ d'équat ion formire respective O\{ $\left\{\begin{array}{l}y=3 t-2 \\ x=t+1\end{array} ;\right.$ Etablir $P\left\{\begin{array}{l}y=-5 t^{2}+i n h \\ x=2 t\end{array}\right.$ 1) Etablir lesequations cartésienses de chaque mobiles. 2) Quelle est la nature dela trajectoire pourchaque mobile.

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Problem 1102

The end views of two different barns are shown. Without calculating, decide which end has the greater area. Explain how you know
Choose the correct answer below. A. The end of Barn 1 has a greater area because the rectangular part has a greater width than that of the rectangular part of the end of Barn 2 , while they both have the same length. B. The end of Barn 1 has a greater area because the triangular part has a greater height than that of the triangular part of the end of Barn 2 , while they both have the same base. C. The end of Barn 2 has a greater area because it has the longest vertical side, though Barn 1 is taller. D. The end of Barn 2 has a greater area because both the triangular and rectangular parts have greater areas than the corresponding parts for Barn 1 .

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Problem 1103

Find the slope of the line. Write your answer in simplest form.
The slope is $\square$

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Problem 1104

Score: 0/1 Penalty: none
Question Watch Video Show Examples
What is an equation of the line that passes through the point $(-1,-6)$ and is perpendicular to the line $x+4 y=12$ ?
Answer Attempt 1 out of 4 $\square$ Submit Answer

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Problem 1105

A line is subdivided according to the golden ratio, with the smaller piece having a length of 5 meters. What is the length of the entire line? Use $\phi \approx 1.618$ .
The length of the entire line is $\square$ meters. (Type an integer or a decimal rounded to one decimal place as needed.)

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Problem 1106

Write and solve an inequality to find the values of $x$ for which the perimeter of the rectangle is less than 104.

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Problem 1107

Mb Apbs (1015) YouTube bal $00 \mathrm{~m} / \mathrm{math} /$ geometry/proving-triangles-congruent-by-sss-sas-asa-and-aas Complete the proof that $\triangle P R T \cong \triangle P S Q$ . \begin{tabular}{|l|l|l|} \hline & Statement & Reason \\ \hline 1 & $\angle S P T \cong \angle Q P R$ & Given \\ \hline 2 & $\overline{P S} \cong \overline{P R}$ & Given \\ \hline 3 & $\angle P S Q \cong \angle P R T$ & Given \\ \hline 4 & $m \angle R P T=m \angle R P S+m \angle S P T$ & \\ \hline 5 & $m \angle Q P S=m \angle Q P R+m \angle R P S$ & Additive Property of Angle Measure \\ \hline 6 & $m \angle R P T=m \angle R P S+m \angle Q P R$ & Substitution \\ \hline 7 & $m \angle Q P S=m \angle R P T$ & \\ \hline 8 & $\triangle P R T \cong \triangle P S Q$ & \\ \hline \end{tabular} Sign out Nev 15

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Problem 1108

Graph: $\left\{\begin{array}{l}-4 x+4 y<28 \\ 2 x+5 y \leq 7\end{array}\right.$

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Problem 1109

duding zero) depending on your answer. What is the measure of central angle $A O B$ to the nearest tenth a degree?
The measure of $\angle A O B$ is approximately $\qquad$ degrees.
The solution is $\square$

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Problem 1110

The radius of a circle is 2 feet. Central angle $A O B$ cuts off arc $A B$ . The length of arc $A B$ is $\frac{\pi}{6}$ yards. What is the radian measure of angle $A O B$ ? $\frac{\pi}{12}$ $\frac{\pi}{4}$ $\frac{4}{\pi}$ $\frac{12}{\pi}$

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Problem 1111

$y = 5\left(\frac{\sqrt{x}}{4} - \frac{x}{2}\right)^{2}, \quad y = 0, \quad x = 1 \text{ and } x = 4$
Find the area of the region bounded by the curves and lines given.

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Problem 1112

A farmer wants to fertilize a triangular field with sides of length $314 \mathrm{yd}, 229 \mathrm{yd}$ , and 163 yd . Fertilizer costs $\$ 175$ per acre ( 1 acre $=4840$ yd ${ }^{2}$ ). Furthermore, the time required to fertilize 1 acre is approximately 2.4 hr with combined labor and equipment costs of $\$ 22.32$ per hour.
Part: $0 / 2$
Part 1 of 2 (a) To the nearest acre, how big is the field? Round intermediate steps to two decimal places.
The area is approximately $\square$ acres.

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Problem 1113

You travel 70 miles/hour for 3 hours, then 30 miles/hour for $\frac{1}{2}$ hour, then 40 miles/hour for 2 hours. (a) What is the total distance you traveled? Total distance $($ in miles $)=$ (b) Drag the points on the grid to graph of the velocity as a function of time for this trip. $\square$ 당 (c) On the graph, the total distance traveled is represented by the

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Problem 1114

130. A rectangular pool with dimensions 5 feet $\times 20$ feet $\times 10$ feet is being filled at a rate of 10 cubic feet per minute. At this rate, how long will it take to fill the pool? (A) 1 hour (B) 1 hour 10 minutes (C) 1 hour 20 minutes (D) 1 hour 30 minutes (E) 1 hour 40 minutes

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Problem 1115

Which angles are alternate interior angles? $\angle Y X U$ and $\angle T U X$ $\angle Y X U$ and $\angle V U X$ $\angle Y X U$ and $\angle W X U$ $\angle Y X U$ and $\angle T U S$

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Problem 1116

Which angles are adjacent angles? $\angle O N Q$ and $\angle R Q N$ $\angle O N Q$ and $\angle M N L$ $\angle O N Q$ and $\angle P Q S$ $\angle O N Q$ and $\angle O N L$

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Problem 1117

ew Homework Part 1 of 2
A box with an open top has a square base and four sides of equal height. The volume of the box is $539 \mathrm{ft}^{3}$ . If the surface area is $357 \mathrm{ft}^{2}$ , find the dimensions of the box.
Find the possible length(s) of the square base, $x$ . $\mathrm{x}=\square \mathrm{ft}^{-}$ (Type an integer or decimal rounded to nearest thousandth as needed. Use a comma to se

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Problem 1118

Which quadrilateral shown could be proved to be a parallelogram by Theorem 6.2C (Quad with opp. $\angle \mathrm{s} \cong \rightarrow 0$ )? IJKL EFGH QRST $A B C D$

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Problem 1119

Which quadrilateral shown could be proved to be a parallelogram by theorem 6.2B (Quad with opp. sides $\cong \rightarrow \square$ )? QRST EFGH $A B C D$ MNOP

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Problem 1120

1. Convert the cartesian point $(-2 \sqrt{3}, 2)$ into its polar form. List all possible representations.
2. Write the equation of the circle $(x-3)^{2}+(y+4)^{2}=25$ into its polar form $r=\rho(\theta)$ .
3. Write the polar equation of the following polar graph:

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Problem 1121

Find the area of the region bound by the following equations: $y=7\left(\frac{\sqrt{x}}{3}-\frac{x}{5}\right)^{2}, y=0, x=1 \text { and } x=4$

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Problem 1122

Question 1
Graph the following system of equations and find the solution. Graph each line and plot the solution as a point on the graph. Enter the solution in the answer box as an ordered pair. $\begin{array}{l} 2 x+3 y=-12 \\ -3 x-y=11 \end{array}$ Clear All Draw: Solution $=$ $(-3,-2)$

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Problem 1123

Find $\|\mathbf{v}\|$ . $\mathbf{v}=3 \mathbf{i}-4 \mathbf{j}$ | $\mathbf{v} \|=$ $\square$ (Type an exact answer, using radicals as needed. Simplify your answer.)

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Problem 1124

Click on the graph to plot a point. Click a point to delete it.
Use the dropdown menus and answer blanks below to prove the triangle is right.
Answer Attempt 1 out of 2
I will prove that triangle IJK is right by demonstrating that two of its sides are perpendicular to one another slope of $\square$ slope of $\square$ $\square$ $=$
The slopes of these two sides are $\square$ .That being the case, the two sides are $\square$ Therefore the triangle is $\square$

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Problem 1125

5. Sketch the graph of $y=-2 x+5$ on a Cartesian plane for $x=-4$ to $x=+10$ . Label the $x$ -and $y$ -intercepts and the end points. $\begin{array}{l} 42-2(2)^{2}+2 \\ \text { - } 4 \times 8 \\ (2) \end{array}$ 1) $=$

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Problem 1126

There are two triangles for which $A=30^{\circ}, \quad a=7, \quad \text { and } \quad b=10$
The larger one has $c=$ $\square$ , and the smaller one has $c=$ $\square$

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Problem 1127

Find the area of the shaded region. Figure is not to scale. $\square$ $f t^{2}$

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Problem 1128

The ratio of the sums of the sides of a triangle taken two at a time is 19:26:27. Find the ratio of the circumradius to the inradius of the triangle
Marks:3.0 Negative Marks:1.0

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Problem 1129

The cylinder below has a cross-sectional area of $19 \mathrm{~m}^{2}$ . What is the volume of the cylinder? If your answer is a decimal, give it to 1 d.p. and remember to give the correct units.

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Problem 1130

Graph units are in meters.
What is the distance to the hole for the player who is farthest from the hole? Round the final answer to the nearest tenth of a meter. Do not round intermediate calculations.

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Problem 1131

2m ب الإزاحة ؟؟ * 5m 2m >

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Problem 1132

4. Se consideră trapezul dreptunghic $A B C D$ , în care $A D \| B C, A D \perp A B, A B=8 \mathrm{~cm}$ și \Varangle A D C=30^{\circ}. Calculați lunglmea segmentului CD.

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Problem 1133

3. The above diagram shows a cross section of a hemispherical bowl of radius 8 cm . Water is poured into the bowl such that the height, $h \mathrm{~cm}$ , of the water increases at a rate of $0.2 \mathrm{~cm} / \mathrm{s}$ . (a) Show that the area of the surface of the water, $A \mathrm{~cm}^{2}$ is given by $A=\pi\left(16 h-h^{2}\right) .$ [3 marks] (b) Find the rate of increase of $A$ when $h$ is 6 cm . [4 marks]

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Problem 1134

9 A curve has equation $y=x^{3}-3 x^{2}-10 x$ . Find the $x$ -coordinates of the points on the curve where the gradient is -1 . (4)
0 (a) Show that the straight line with equation $y=3 x+8$ is a tangent to the circle $(x-1)^{2}+(y-1)^{2}=10$ and determine the coordinates of the point of contact (b) Does the straight line with equation $y=2 x-10$ intersect the circle?
Explain
Two straight lines have equations $2 x+3 y-9=0$ and $3 x-2 y+4$ respectively. Show that these lines are perpendicular
Determine the range of values of $k$ for which the equation $x^{2}+2 k x+2 k-1=0$ has two distinct roots (4)

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Problem 1135

Problem (9) A piece of wire of length 60 cm is divided into two portions, each one being bent to form a rectangle, its length is twice its breadth, if the length of one of the two portions is $x$ , find the dimensions of these rectangles when the sum of the two areas is minimum.
Answer

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Problem 1136

LABORATORY MIDTERM QUESTIONS (17-20) 17) What mass of a material with density $\rho$ is required to make a hollow cylinder having an in radius $R$ and height $h$ ? A) $\pi h\left(R^{2}-r^{2}\right)$ B) $\pi h \rho\left(R^{2}-r^{2}\right)$ C) $\pi / h \rho(R-r)$ D) $\pi h\left(R^{2}-r^{2}\right)$ E) $\pi h \rho(R-r)^{2}$

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Problem 1137

What is the area of a triangle with vertices at $(-4,1),(-7,5)$ , and $(0,1)$ ?

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Problem 1138

Which figure has $\frac{1}{2}$ of its area shaded? Choose 1 answer: (A) $\square$ (B) (c)

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Problem 1139

A rectangular garden bed measures 24 feet by 10 feet. A water faucet is located at one corner of the garden bed. A hose will be connected to the water faucet. The hose must be long enough to reach the opposite comer of the garden bed when stretched straight. Find the required length of hose.
The required length of the hose is $\square$ $\square$ (Type an exact answer using radicals as needed.)

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Problem 1140

B. The slope is undefined. 4
Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points. $(-6,-9)$ and $(5,3)$ $\qquad$ $\qquad$ $x 2 y 2$

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Problem 1141

A cylinder of mass 2500 g has circular ends of radius 14 cm . If the cylinder is made of metal of density $2.5 \mathrm{~g} / \mathrm{cm}^{3}$ , calculate the height of the cylinder. b) Five liters of fresh water (density $1 \mathrm{~g} / \mathrm{cm}^{3}$ ) is added to 4 liters of sea water (density $1.25 \mathrm{~g} / \mathrm{cm}^{3}$ ). What is the density of the mixture?

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Problem 1142

Find the area of the region bounded by $y=3 x^{2}+1 \text {, }$ the $x$ -axis, $x=-2$ , and $x=3$ .
As your answer, please input the value of the area.

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Problem 1143

15. A square room is covered by a number of whole rectangular slabs of sides 60 cm by 42 cm . Calculate the least possible area of the room in square metres.

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Problem 1144

Example - Determine the average shear stress in the 20 mm -diameter pin at $A$ and the $30-\mathrm{mm}$ -diameter pin at $B$ that support the beam AB . - First - Find reactions in the pins

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Problem 1145

In the triangle below, suppose that $m \angle G=(x+6)^{\circ}, m \angle H=(7 x+4)^{\circ}$ , and $m \angle I=(2 x)^{\circ}$ . Find the degree measure of each angle in the triangle. $\begin{array}{l} m \angle G=\square^{\circ} \\ m \angle H=\square^{\circ} \\ m \angle I=\square^{\circ} \end{array}$

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Problem 1146

What is the rule for a 30-60-90 triangle? $x, 2 x, x \sqrt{3}$ $x, x, x \sqrt{2}$

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Problem 1147

What are $x$ and $y$ in this 30-60-90 triangle? $x=6 y=3 \sqrt{ } 2$ $x=6 y=3 \sqrt{ } 3$ $x=3 \sqrt{ } 3 y=6$ $x=3 \sqrt{ } 2 y=3$

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Problem 1148

On a piece of paper, graph this system of inequalities. Then determine which region contains the solution to the system. $\begin{array}{l} y \leq \frac{1}{4} x+3 \\ y \geq-x+5 \end{array}$ A. Region B B. Region A C. Region C D. Region D

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Problem 1149

Check
4. Make each composite object with cubes. Assume each face of a cube has area 1 unit $^{2}$ . Determine the surface area of each composite object. a) b) c) d)

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Problem 1150

4. Check whether the points $\mathbf{a}, \mathbf{b}$ and $\mathbf{c}$ belong to the same straight line in $\mathbb{R}^{3}$ ; if so, find a parametric equation of this line, if not, find a parametric 1 equation of the plane passing through these points. (a) $\mathbf{a}=\left[\begin{array}{c}-1 \\ 2 \\ 4\end{array}\right]$ , $\begin{array}{l} \mathbf{b}=\left[\begin{array}{l} 0 \\ 0 \\ 0 \end{array}\right] \text { and } \mathbf{c}=\left[\begin{array}{c} 5 \\ -10 \\ -20 \end{array}\right] ;(b) \mathbf{a}=\left[\begin{array}{c} 4 \\ -1 \\ 2 \end{array}\right], \mathbf{b}=\left[\begin{array}{c} -4 \\ 10 \\ 2 \end{array}\right] \text { and } \mathbf{c}= \\ {\left[\begin{array}{l} 0 \\ 0 \\ 2 \end{array}\right] ;(\mathrm{c}) \mathbf{a}=\left[\begin{array}{c} 4 \\ -2 \\ 2 \end{array}\right], \mathbf{b}=\left[\begin{array}{c} -4 \\ 10 \\ 2 \end{array}\right] \text { and } \mathbf{c}=\left[\begin{array}{l} 0 \\ 4 \\ 2 \end{array}\right] ;(\mathrm{d}) \mathbf{a}=\left[\begin{array}{c} -3 \\ 0 \\ 4 \end{array}\right],} \\ \mathbf{b}=\left[\begin{array}{c} 5 \\ -1 \\ 2 \end{array}\right] \text { and } \mathbf{c}=\left[\begin{array}{l} 1 \\ 1 \\ 3 \end{array}\right] . \end{array}$

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Problem 1151

9 (a)
NOT TO SCALE The difference between the perimeters of the two shapes is $k \mathrm{~cm}$ . Find the value of $k$ . You must show all your working. $k=$ [6]

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Problem 1152

Finding the Domain and Range of a Graph Determine the Domain and Range for the graph below. Write your answer in Interval Notation and in SetBuilder Notation.
Note: To type in the $\leq$ sign, type $<=$ . For example, to enter the Domain $[-10,10)$ as an inequality for Set-Builder Notation, type $-10<=x<10$
Domain written in Interval Notation Domain written in Set-Butas Notation
Domain written in Set-Builder Notation $\square$ $\{x \mid$ $\square$ 3
Range written in Set-Builder Notation \{y| $\square$

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Problem 1153

27) A cubic box has sides of length 8.0 cm . What is the maximum number of pulverized spherical balls of diameter 1.5 cm that can fit inside the closed box $\left(V_{\text {sphere }}=4 / 3 \pi r^{3}\right)$ ?

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Problem 1154

Find the area of the given geometric figure.
The area of the trapezoid is $\square$ (Simplify your answer.) $\square$

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Problem 1155

. Which expression can be used to find how many cubes with edge length of $\frac{1}{3}$ unit fit in a prism that is 5 units by 5 units by 8 units? Explain or show your reasoning. A. $\left(5 \cdot \frac{1}{3}\right) \cdot\left(5 \cdot \frac{1}{3}\right) \cdot\left(8 \cdot \frac{1}{3}\right)$ B. $5 \cdot 5 \cdot 8$ C. $(5 \cdot 3) \cdot(5 \cdot 3) \cdot(8 \cdot 3)$ D. $(5 \cdot 5 \cdot 8) \cdot\left(\frac{1}{3}\right)$

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Problem 1156

Points: 0 of 1 save
Use Kruskal's Algorithm to find the minimum spanning tree for the weighted graph. Give the total weight of the minimum spanning tree.
Which of the following trees matches the shape of the minimum spanning tree?

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Problem 1157

52. The interior diameter and interior height of a cylindrical container are given in inches in the figure below. Water will be poured into the empty container at a rate of $40 \pi$ cubic inches per minute. At this rate, in exactly how many minutes will the container be completely filled? (Note: The volume of a cylinder with radius $r$ and height $h$ is $\pi r^{2} h$ .) F. 16 G. 20 H. 24 J. 40 K. 64

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Problem 1158

Look at this graph:
What is the $y$ -intercept? $\square$ Submit

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Problem 1159

e point $Q$ lies on the segment $\overline{P R}$ . Find the coordinates of $Q$ so that $P Q$ is $\frac{2}{7}$ of $P R$ .
Coordinates of $Q$ : $\square$ , $\square$

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Problem 1160

Look at this graph:
What is the equation of the axis of symmetry? $\square$ Submit

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Problem 1161

Draw the shear force and bending moment diagram for the beam below. Let $\mathrm{P}=800 \mathrm{~N}, \mathrm{a}=5 \mathrm{~m}$ , and $\mathrm{L}=12 \mathrm{~m}$ .

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Problem 1162

Find the equation of the line with the given properties. Sketch the graph of the line. The line passes through $(-8,3)$ and is perpendicular to the $y$ -axis.

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Problem 1163

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Click twice to plot each segment. Click a segment to delete it.

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Problem 1164

11. a) Determine the equation of the following conic. b) If this circle is translated 9 units to the right and 5 units up, what is the equation of this conic? c) Horizontally stretch the circle in (b) by a factor of 2 , what is the equation of this conic? $(h, k)=\left(\frac{-6}{+9}, \frac{-2}{+5}\right) \rightarrow(3,3)$

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Problem 1165

3. Determine a possible equation to represent each function. a)

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Problem 1166

What is the slope of the line?

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Problem 1167

Back to Content Worked Examples: Try Geometric A
The height of a triangle is 2 more than twice its base. The triangle has an area of 110 Let $b$ represent the base of the triangle. What expression represents the height?
Enter your answer in the box. $\square$
What quadratic equation, in standard form, represents the situation? Enter your answer in the box. $\square$

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Problem 1168

Which formula represents the hyperbola on the graph shown below?

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Problem 1169

Find the area of each shaded area. Leave your answer in terms of $\pi$ .
Area $=$ $\qquad$ $\pi \mathrm{cm}^{2}$

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Problem 1170

The diameter of a circle is 7 miles. Find the circumference of the circle. Round your answer to 2 decimal places. $\qquad$ miles

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Problem 1171

If there is more than one answer, separate them with comn Click on "None" if applicable. (a) $y$ -intercept(s): $\square$ ㅁ.... None (b) $x$ -intercept(s): $\square$

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Problem 1172

ections: Use algebra (not graphing) to find the circumcenter of the triangle whose tices are given. $A(-8,2)$ - $A(10,10)$ $(23-25)_{2 .)} B(-4,6)$
B $(5,5)$ $C(10,14)$ 3.) $(2,4)$

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Problem 1173

$\text{Find the circumcenter of the triangle with vertices:}$ $\begin{array}{l} A(10, 10) \\ B(5, 5) \\ C(2, 4) \end{array}$ 3.) \text{(2,4)}

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Problem 1174

Find the incenter of the triangle whose vertices are given. dredth. 6) 6) $(2.6,4.3)$ $A(0,4)$ $B(8,4)$ 5.) $C(2,2)$

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Problem 1175

Question 14
Find the value of $x$ . $\square$ ( $)$ Need help with this question?

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Problem 1176

Classify each figure as a line, ray, or line segment. Then, show how to write it.

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Problem 1177

Find the surface area of the figure below. 10 square meters 12 square meters 14 square meters 16 square meters

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Problem 1178

Dalam Rajah 2, ABCDEFGH ialah sebuah oktagon sekata. Diberi bahawa HI dan GF ialah garis selari.
Cari nilai $p$ .
A $131^{\circ}$
B $136^{\circ}$
C $151^{\circ}$
D $209^{\circ}$

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Problem 1179

III. Consider a rectangle ABCD such that $\mathrm{AB}=8 \mathrm{~cm}$ and $\mathrm{AD}=4 \mathrm{~cm}$ . $E$ and $F$ are two points of $[\mathrm{AB}]$ and $[\mathrm{AD}]$ respectively Such that $\mathrm{BE}=\mathrm{DF}=\boldsymbol{x}$ ; where $0<\boldsymbol{x}<4$ . Let $\mathbf{S}$ denote the area of the shaded part FECD. 1) Prove that $S=\frac{-x^{2}+8 x+32}{2}$ 2) Calculate $\boldsymbol{x}$ so that $\mathbf{S}=18 \mathrm{~cm}^{2}$ . 3) Prove that for all $x$ in $] 0 ; 4\left[, \mathbf{S}>10 \mathrm{~cm}^{2}\right.$ . 4) Determine the set of values of $x$ so that $S>20 \mathrm{~cm}^{2}$

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Problem 1180

Construct the following shapes using a ruler and protractor. a) b) c)

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Problem 1181

55° 30° b C 30°

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Problem 1182

Here is a 10-sided polygon 134° 168 Work out the value of x. 150 149 150 1299 125 168 Diagram NOT accurately drawn

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Problem 1183

Zeichnen Sie die Punkte und den Vektor $\overrightarrow{P Q}$ in ein Koordinatensystem. Berechnen Sie die Koordinaten des Vektors $\overrightarrow{\mathrm{PQ}}$ und vergleichen Sie mit der Skizze. a) $P(0 \mid 0), Q(5 \mid-2)$ b) $P(2 \mid 3), Q(7 \mid 4)$ c) $P(-4|-3|-1), Q(0|4|-2)$ d) $P(-1|4|-2), Q(2|-3|-4)$ e) $P(4|6| 5), Q(0|0| 0)$ f) $P(7|3| 1), Q(7|3| 1)$

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Problem 1184

Basisaufgaben
1. Zeichnen Sie zum Vektor drei Vektorpfeile in ein Koordinatensystem. Geben Sie jeweils die Anfangs- und Endpunkte der Pfeile an. a) $\binom{1}{2}$ b) $\binom{0}{-1}$ c) $\binom{2}{0}$ d) $\binom{-1}{-3}$ e) $\left(\begin{array}{l}1 \\ 0 \\ 0\end{array}\right)$ f) $\left(\begin{array}{r}1 \\ 0 \\ -1\end{array}\right)$ g) $\left(\begin{array}{r}1 \\ 3 \\ -2\end{array}\right)$ h) $\left(\begin{array}{r}-2 \\ -1 \\ 3\end{array}\right)$

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Problem 1185

Triangle $A B C$ is an equilateral triangle and triangle PQR is a right-angled isosceles triangle. The perimeter of both these triangles is the same. If the area of the isosceles right-angled triangle is $10 \mathrm{~cm}^{2}$ , then the approximate length (in cm ) of the side of the equilateral triangle is $\qquad$ .

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Problem 1186

A rectangular piece of dimensions $3 \mathrm{~cm} \times 2 \mathrm{~cm}$ was cut from a rectangular sheet of paper of divension $8 \mathrm{~cm} \times 5 \mathrm{~cm}(\mathrm{Fgg} \cdot 14)$
Area of rectangle sheet of paper is

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Problem 1187

SFBM A

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Problem 1188

$85^{\circ} 27^{\prime} 36^{\prime \prime}-39^{\circ} 5057^{\prime \prime}=$

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Problem 1189

7-49. If $L=9 \mathrm{~m}$ , the beam will fail when the maximum shear force is $V_{\max }=5 \mathrm{kN}$ or the maximum bending moment is $M_{\max }=2 \mathrm{kN} \cdot \mathrm{m}$ . Determine the magnitude $M_{0}$ of the largest couple moments it will support.
Probs. 7-48/49

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Problem 1190

2 Desenați cubul $A B C D A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ și stabiliți poziția dreptei: a $A B$ față de planul ( $A D D^{\prime}$ ); b $A^{\prime} C$ față de planul $(A B C)$ ; c $B C^{\prime}$ față de planul (CBB'); d $C C^{\prime}$ față de planul ( $\left.A B B^{\prime}\right)$ ; e $B^{\prime} C^{\prime}$ față de planul $\left(A D D^{\prime}\right)$ ; f $A D^{\prime}$ față de planul $\left(B B^{\prime} C^{\prime}\right)$ .

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Problem 1191

1)

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Problem 1192

Find the area of the tr 1) 13 12,3 gie. Area

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Problem 1193

্ㅓㅁ き

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Problem 1194

10 Are 15 2/2

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Problem 1195

If $\stackrel{C E}{ }$ and $\stackrel{F H}{F H}$ are parallel lines and $m \angle C D B=110^{\circ}$ , what is $m \angle F G D$ ?

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Problem 1196

If $\overleftrightarrow{D F}$ and $\overleftrightarrow{G I}$ are parallel lines and $m \angle D E H=47^{\circ}$ , what is $m \angle I H J$ ?

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Problem 1197

In the opposite figure : If ABCD is a square and $\frac{\mathrm{DE}}{\mathrm{EB}}=\frac{2}{5}$ , then $\tan \theta=$ (a) $\frac{7}{3}$ (b) $\frac{3}{7}$ (B) (c) $\frac{2}{7}$ (d) $\frac{7}{2}$

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Problem 1198

PROBLEM 20: The azimuth of the sides of a traverse ABCDEF are given below. Compute the internal angles. Bearing of $A B=290^{\circ} 45^{\circ}$ Bearing of $B C=250^{\circ}+8^{\prime}$ Bearing of $C D=196^{\circ} 12^{\prime}$ Bearing of $D E=175^{\circ} 24^{\prime}$ Bearing of $E F=112^{\circ} 18^{\prime}$ Bearing of $F A=30^{\circ} 00^{\prime}$ Solution:

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Problem 1199

$m=\frac{y_{1}-y_{2}}{x_{1}-x_{2}}=\frac{16-10}{4-2}=\frac{6}{2}=3$

See Solution

Problem 1200

i-Ready Understand Scale Drawings - Instruction - Level G
A scale drawing of a dinosaur is shown. The length of the actual dinosaur is 40 ft . \begin{tabular}{|c|c|} \hline Drawing (in.) & Actual (ft) \\ \hline 3 & \\ \hline 10 & 40 \\ \hline \end{tabular}
Scale Drawing
What is the scale factor from the drawing to the dinosaur? ? $\square$

See Solution

Geometry

Problem 1101

Problem 1102

Problem 1103

Find the slope of the line. Write your answer in simplest form.The slope is □\square□

Problem 1104

Score: 0/1 Penalty: noneQuestion Watch Video Show ExamplesWhat is an equation of the line that passes through the point (−1,−6)(-1,-6)(−1,−6) and is perpendicular to the line x+4y=12x+4 y=12x+4y=12 ?Answer Attempt 1 out of 4 □\square□ Submit Answer

Problem 1105

Problem 1106

Write and solve an inequality to find the values of xxx for which the perimeter of the rectangle is less than 104.

Problem 1107

Problem 1108

Graph: {−4x+4y<282x+5y≤7\left\{\begin{array}{l}-4 x+4 y<28 \\ 2 x+5 y \leq 7\end{array}\right.{−4x+4y<282x+5y≤7​

Problem 1109

duding zero) depending on your answer. What is the measure of central angle AOBA O BAOB to the nearest tenth a degree?The measure of ∠AOB\angle A O B∠AOB is approximately \qquad degrees.The solution is □\square□

Problem 1110

The radius of a circle is 2 feet. Central angle AOBA O BAOB cuts off arc ABA BAB. The length of arc ABA BAB is π6\frac{\pi}{6}6π​ yards. What is the radian measure of angle AOBA O BAOB ? π12\frac{\pi}{12}12π​ π4\frac{\pi}{4}4π​ 4π\frac{4}{\pi}π4​ 12π\frac{12}{\pi}π12​

Problem 1111

y=5(x4−x2)2,y=0,x=1 and x=4y = 5\left(\frac{\sqrt{x}}{4} - \frac{x}{2}\right)^{2}, \quad y = 0, \quad x = 1 \text{ and } x = 4y=5(4x​​−2x​)2,y=0,x=1 and x=4Find the area of the region bounded by the curves and lines given.

Problem 1112

Problem 1113

Problem 1114

Problem 1115

Which angles are alternate interior angles? ∠YXU\angle Y X U∠YXU and ∠TUX\angle T U X∠TUX ∠YXU\angle Y X U∠YXU and ∠VUX\angle V U X∠VUX ∠YXU\angle Y X U∠YXU and ∠WXU\angle W X U∠WXU ∠YXU\angle Y X U∠YXU and ∠TUS\angle T U S∠TUS

Problem 1116

Which angles are adjacent angles? ∠ONQ\angle O N Q∠ONQ and ∠RQN\angle R Q N∠RQN ∠ONQ\angle O N Q∠ONQ and ∠MNL\angle M N L∠MNL ∠ONQ\angle O N Q∠ONQ and ∠PQS\angle P Q S∠PQS ∠ONQ\angle O N Q∠ONQ and ∠ONL\angle O N L∠ONL

Problem 1117

Problem 1118

Which quadrilateral shown could be proved to be a parallelogram by Theorem 6.2C (Quad with opp. ∠s≅→0\angle \mathrm{s} \cong \rightarrow 0∠s≅→0 )? IJKL EFGH QRST ABCDA B C DABCD

Problem 1119

Which quadrilateral shown could be proved to be a parallelogram by theorem 6.2B (Quad with opp. sides ≅→□\cong \rightarrow \square≅→□ )? QRST EFGH ABCDA B C DABCD MNOP

Problem 1120

Problem 1121

Find the area of the region bound by the following equations: y=7(x3−x5)2,y=0,x=1 and x=4y=7\left(\frac{\sqrt{x}}{3}-\frac{x}{5}\right)^{2}, y=0, x=1 \text { and } x=4y=7(3x​​−5x​)2,y=0,x=1 and x=4

Problem 1122

Problem 1123

Find ∥v∥\|\mathbf{v}\|∥v∥. v=3i−4j\mathbf{v}=3 \mathbf{i}-4 \mathbf{j}v=3i−4j | v∥=\mathbf{v} \|=v∥= □\square□ (Type an exact answer, using radicals as needed. Simplify your answer.)

Problem 1124

Problem 1125

5. Sketch the graph of y=−2x+5y=-2 x+5y=−2x+5 on a Cartesian plane for x=−4x=-4x=−4 to x=+10x=+10x=+10. Label the xxx-and yyy-intercepts and the end points. 42−2(2)2+2 - 4×8(2)\begin{array}{l} 42-2(2)^{2}+2 \\ \text { - } 4 \times 8 \\ (2) \end{array}42−2(2)2+2 - 4×8(2)​ 1) ===

Problem 1126

There are two triangles for which A=30∘,a=7, and b=10A=30^{\circ}, \quad a=7, \quad \text { and } \quad b=10A=30∘,a=7, and b=10The larger one has c=c=c= □\square□ , and the smaller one has c=c=c= □\square□

Problem 1127

Find the area of the shaded region. Figure is not to scale. □\square□ ft2f t^{2}ft2

Problem 1128

The ratio of the sums of the sides of a triangle taken two at a time is 19:26:27. Find the ratio of the circumradius to the inradius of the triangleMarks:3.0 Negative Marks:1.0

Problem 1129

The cylinder below has a cross-sectional area of 19 m219 \mathrm{~m}^{2}19 m2. What is the volume of the cylinder? If your answer is a decimal, give it to 1 d.p. and remember to give the correct units.

Problem 1130

Graph units are in meters.What is the distance to the hole for the player who is farthest from the hole? Round the final answer to the nearest tenth of a meter. Do not round intermediate calculations.

Problem 1131

2m ب الإزاحة ؟؟ * 5m 2m >

Problem 1132

4. Se consideră trapezul dreptunghic ABCDA B C DABCD, în care AD∥BC,AD⊥AB,AB=8 cmA D \| B C, A D \perp A B, A B=8 \mathrm{~cm}AD∥BC,AD⊥AB,AB=8 cm și \Varangle A D C=30^{\circ}. Calculați lunglmea segmentului CD.

Problem 1133

Problem 1134

Problem 1135

Problem (9) A piece of wire of length 60 cm is divided into two portions, each one being bent to form a rectangle, its length is twice its breadth, if the length of one of the two portions is xxx, find the dimensions of these rectangles when the sum of the two areas is minimum.Answer

Problem 1136

Problem 1137

What is the area of a triangle with vertices at (−4,1),(−7,5)(-4,1),(-7,5)(−4,1),(−7,5), and (0,1)(0,1)(0,1) ?

Problem 1138

Which figure has 12\frac{1}{2}21​ of its area shaded? Choose 1 answer: (A) □\square□ (B) (c)

Problem 1139

Problem 1140

B. The slope is undefined. 4Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points. (−6,−9)(-6,-9)(−6,−9) and (5,3)(5,3)(5,3) \qquad \qquad x2y2x 2 y 2x2y2

Problem 1141

Problem 1142

Find the area of the region bounded by y=3x2+1, y=3 x^{2}+1 \text {, }y=3x2+1, the xxx-axis, x=−2x=-2x=−2, and x=3x=3x=3.As your answer, please input the value of the area.

Problem 1143

15. A square room is covered by a number of whole rectangular slabs of sides 60 cm by 42 cm . Calculate the least possible area of the room in square metres.

Problem 1144

Example - Determine the average shear stress in the 20 mm -diameter pin at AAA and the 30−mm30-\mathrm{mm}30−mm-diameter pin at BBB that support the beam AB . - First - Find reactions in the pins

Problem 1145

Problem 1146

What is the rule for a 30-60-90 triangle? x,2x,x3x, 2 x, x \sqrt{3}x,2x,x3​ x,x,x2x, x, x \sqrt{2}x,x,x2​

Problem 1147

What are xxx and yyy in this 30-60-90 triangle? x=6y=32x=6 y=3 \sqrt{ } 2x=6y=3​2 x=6y=33x=6 y=3 \sqrt{ } 3x=6y=3​3 x=33y=6x=3 \sqrt{ } 3 y=6x=3​3y=6 x=32y=3x=3 \sqrt{ } 2 y=3x=3​2y=3

Problem 1148

On a piece of paper, graph this system of inequalities. Then determine which region contains the solution to the system. y≤14x+3y≥−x+5\begin{array}{l} y \leq \frac{1}{4} x+3 \\ y \geq-x+5 \end{array}y≤41​x+3y≥−x+5​ A. Region B B. Region A C. Region C D. Region D

Find the slope of the line. Write your answer in simplest form.
The slope is $\square$

Score: 0/1 Penalty: none
Question Watch Video Show Examples
What is an equation of the line that passes through the point $(-1,-6)$ and is perpendicular to the line $x+4 y=12$ ?
Answer Attempt 1 out of 4 $\square$ Submit Answer

Write and solve an inequality to find the values of $x$ for which the perimeter of the rectangle is less than 104.

Graph: $\left\{\begin{array}{l}-4 x+4 y<28 \\ 2 x+5 y \leq 7\end{array}\right.$

duding zero) depending on your answer. What is the measure of central angle $A O B$ to the nearest tenth a degree?
The measure of $\angle A O B$ is approximately $\qquad$ degrees.
The solution is $\square$

The radius of a circle is 2 feet. Central angle $A O B$ cuts off arc $A B$ . The length of arc $A B$ is $\frac{\pi}{6}$ yards. What is the radian measure of angle $A O B$ ? $\frac{\pi}{12}$ $\frac{\pi}{4}$ $\frac{4}{\pi}$ $\frac{12}{\pi}$

$y = 5\left(\frac{\sqrt{x}}{4} - \frac{x}{2}\right)^{2}, \quad y = 0, \quad x = 1 \text{ and } x = 4$
Find the area of the region bounded by the curves and lines given.

Which angles are alternate interior angles? $\angle Y X U$ and $\angle T U X$ $\angle Y X U$ and $\angle V U X$ $\angle Y X U$ and $\angle W X U$ $\angle Y X U$ and $\angle T U S$

Which angles are adjacent angles? $\angle O N Q$ and $\angle R Q N$ $\angle O N Q$ and $\angle M N L$ $\angle O N Q$ and $\angle P Q S$ $\angle O N Q$ and $\angle O N L$

Which quadrilateral shown could be proved to be a parallelogram by Theorem 6.2C (Quad with opp. $\angle \mathrm{s} \cong \rightarrow 0$ )? IJKL EFGH QRST $A B C D$

Which quadrilateral shown could be proved to be a parallelogram by theorem 6.2B (Quad with opp. sides $\cong \rightarrow \square$ )? QRST EFGH $A B C D$ MNOP

Find the area of the region bound by the following equations: $y=7\left(\frac{\sqrt{x}}{3}-\frac{x}{5}\right)^{2}, y=0, x=1 \text { and } x=4$

Find $\|\mathbf{v}\|$ . $\mathbf{v}=3 \mathbf{i}-4 \mathbf{j}$ | $\mathbf{v} \|=$ $\square$ (Type an exact answer, using radicals as needed. Simplify your answer.)

5. Sketch the graph of $y=-2 x+5$ on a Cartesian plane for $x=-4$ to $x=+10$ . Label the $x$ -and $y$ -intercepts and the end points. $\begin{array}{l} 42-2(2)^{2}+2 \\ \text { - } 4 \times 8 \\ (2) \end{array}$ 1) $=$

There are two triangles for which $A=30^{\circ}, \quad a=7, \quad \text { and } \quad b=10$
The larger one has $c=$ $\square$ , and the smaller one has $c=$ $\square$

Find the area of the shaded region. Figure is not to scale. $\square$ $f t^{2}$

The ratio of the sums of the sides of a triangle taken two at a time is 19:26:27. Find the ratio of the circumradius to the inradius of the triangle
Marks:3.0 Negative Marks:1.0

The cylinder below has a cross-sectional area of $19 \mathrm{~m}^{2}$ . What is the volume of the cylinder? If your answer is a decimal, give it to 1 d.p. and remember to give the correct units.

Graph units are in meters.
What is the distance to the hole for the player who is farthest from the hole? Round the final answer to the nearest tenth of a meter. Do not round intermediate calculations.

4. Se consideră trapezul dreptunghic $A B C D$ , în care $A D \| B C, A D \perp A B, A B=8 \mathrm{~cm}$ și \Varangle A D C=30^{\circ}. Calculați lunglmea segmentului CD.

Problem (9) A piece of wire of length 60 cm is divided into two portions, each one being bent to form a rectangle, its length is twice its breadth, if the length of one of the two portions is $x$ , find the dimensions of these rectangles when the sum of the two areas is minimum.
Answer

What is the area of a triangle with vertices at $(-4,1),(-7,5)$ , and $(0,1)$ ?

Which figure has $\frac{1}{2}$ of its area shaded? Choose 1 answer: (A) $\square$ (B) (c)

B. The slope is undefined. 4
Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points. $(-6,-9)$ and $(5,3)$ $\qquad$ $\qquad$ $x 2 y 2$

Find the area of the region bounded by $y=3 x^{2}+1 \text {, }$ the $x$ -axis, $x=-2$ , and $x=3$ .
As your answer, please input the value of the area.

Example - Determine the average shear stress in the 20 mm -diameter pin at $A$ and the $30-\mathrm{mm}$ -diameter pin at $B$ that support the beam AB . - First - Find reactions in the pins

What is the rule for a 30-60-90 triangle? $x, 2 x, x \sqrt{3}$ $x, x, x \sqrt{2}$

What are $x$ and $y$ in this 30-60-90 triangle? $x=6 y=3 \sqrt{ } 2$ $x=6 y=3 \sqrt{ } 3$ $x=3 \sqrt{ } 3 y=6$ $x=3 \sqrt{ } 2 y=3$

On a piece of paper, graph this system of inequalities. Then determine which region contains the solution to the system. $\begin{array}{l} y \leq \frac{1}{4} x+3 \\ y \geq-x+5 \end{array}$ A. Region B B. Region A C. Region C D. Region D

Check
4. Make each composite object with cubes. Assume each face of a cube has area 1 unit $^{2}$ . Determine the surface area of each composite object. a) b) c) d)

9 (a)
NOT TO SCALE The difference between the perimeters of the two shapes is $k \mathrm{~cm}$ . Find the value of $k$ . You must show all your working. $k=$ [6]

27) A cubic box has sides of length 8.0 cm . What is the maximum number of pulverized spherical balls of diameter 1.5 cm that can fit inside the closed box $\left(V_{\text {sphere }}=4 / 3 \pi r^{3}\right)$ ?

Find the area of the given geometric figure.
The area of the trapezoid is $\square$ (Simplify your answer.) $\square$

Points: 0 of 1 save
Use Kruskal's Algorithm to find the minimum spanning tree for the weighted graph. Give the total weight of the minimum spanning tree.
Which of the following trees matches the shape of the minimum spanning tree?

Look at this graph:
What is the $y$ -intercept? $\square$ Submit

e point $Q$ lies on the segment $\overline{P R}$ . Find the coordinates of $Q$ so that $P Q$ is $\frac{2}{7}$ of $P R$ .
Coordinates of $Q$ : $\square$ , $\square$

Look at this graph:
What is the equation of the axis of symmetry? $\square$ Submit

Draw the shear force and bending moment diagram for the beam below. Let $\mathrm{P}=800 \mathrm{~N}, \mathrm{a}=5 \mathrm{~m}$ , and $\mathrm{L}=12 \mathrm{~m}$ .

Find the equation of the line with the given properties. Sketch the graph of the line. The line passes through $(-8,3)$ and is perpendicular to the $y$ -axis.

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Click twice to plot each segment. Click a segment to delete it.

Find the area of each shaded area. Leave your answer in terms of $\pi$ .
Area $=$ $\qquad$ $\pi \mathrm{cm}^{2}$

The diameter of a circle is 7 miles. Find the circumference of the circle. Round your answer to 2 decimal places. $\qquad$ miles

If there is more than one answer, separate them with comn Click on "None" if applicable. (a) $y$ -intercept(s): $\square$ ㅁ.... None (b) $x$ -intercept(s): $\square$

ections: Use algebra (not graphing) to find the circumcenter of the triangle whose tices are given. $A(-8,2)$ - $A(10,10)$ $(23-25)_{2 .)} B(-4,6)$
B $(5,5)$ $C(10,14)$ 3.) $(2,4)$

$\text{Find the circumcenter of the triangle with vertices:}$ $\begin{array}{l} A(10, 10) \\ B(5, 5) \\ C(2, 4) \end{array}$ 3.) \text{(2,4)}

Find the incenter of the triangle whose vertices are given. dredth. 6) 6) $(2.6,4.3)$ $A(0,4)$ $B(8,4)$ 5.) $C(2,2)$