Geometry

Problem 1701

What is $270^{\circ}$ converted to radians? $\frac{\pi}{6}$ $\frac{3}{2}$ $\frac{3 \pi}{2}$ 3

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Problem 1702

Slope = $\qquad$

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Problem 1703

A circle has an area of $100 \pi$ square centimeters. Find its radius.

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Problem 1704

18. Cone $A$ has a radius 12 inches and Cone $B$ has a radius of 30 inches. If the cones are similar and the volume of Cone $A$ is $48 \mathrm{ft}^{2}$ , find the volume of Cone B. $750 \mathrm{ft}^{3}$

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Problem 1705

$\text{Write the equation of the line that passes through the point } (2,4) \text{ and has the slope } \frac{1}{2}.$

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Problem 1706

makes an angle $\theta$ with the horizontal, as shown in the figure.
If the magnitude of the force and the distance are kept constant, but the angle $\theta$ is increased toward $90^{\circ}$ , then the work done by the force in dragging the box remains the same. increases. decreases. either increases or decreases, depending on the magnitude of $F$ . either increases or decreases, depending on the initial angle $\theta$ .

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Problem 1707

Question
Find the length of the third side. If necessary, round to the nearest tenth.
Answer $\square$ Submit Answer

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Problem 1708

A box is pulled a distance $d$ across the floor by a force $F$ that makes an angle $\theta$ with the horizontal, as shown in the figure.
If the magnitude of the force and the distance are kept constant, but the angle $\theta$ is increased toward $90^{\circ}$ , then the work done by the force in dragging the box remains the same. increases. decreases. either increases or decreases, depending on the magnitude of $F$ . either increases or decreases, depending on the initial angle $\theta$ .

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Problem 1709

Find the equation of the parabola described. Find the two points that define the latus rectum, and graph the equation.
Directrix the line $y=\frac{1}{7}$ ; vertex at $(0,0)$
What is the equation of the parabola? $\square$ (Use integers or fractions for any numbers in the equation.)

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Problem 1710

Given the $\square$ JKLM, Find the value for $x=$ $\qquad$ $Y=$ $\qquad$ $z=$ $\qquad$

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Problem 1711

Illustrative Mathematios
3. Select all of the true statements. A. $\pi$ is the area of a circle of radius 1 . B. $\pi$ is the area of a circle of diameter 1 . C. $\pi$ is the circumference of a circle of radius 1 . D. $\pi$ is the circumference of a circle of diameter 1 . E. $\pi$ is the constant of proportionality relating the diameter of a circle to its circumference. F. $\pi$ is the constant of proportionality relating the radius of a circle to its area.

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Problem 1712

$\overleftrightarrow{L L}$ and $\overleftrightarrow{M O}$ are parallel lines.
Which angles are alternate interior angles? $\angle J K N$ and $\angle O N P$

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Problem 1713

5. $(4,-3)$ ; slope $=-1$

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Problem 1714

iN Illustrative
5. For each quantity, decide whether circumference or area would be needed to calculate it. Explain or show your reasoning. a. The distance around a circular track. b. The total number of equally-sized tiles on a circular floor. c. The amount of oil it takes to cover the bottom of a frying pan. d. The distance your car will go with one turn of the wheels.

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Problem 1715

7. A groundskeeper needs grass seed to cover a circular field, 290 feet in diameter.
A store sells 50 -pound bags of grass seed. One pound of grass seed covers about 400 square feet of field. What is the smallest number of bags the groundskeeper must buy to cover the circular field? Explain or show your reasoning.

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Problem 1716

\text{Study the Example showing how to solve a problem with volume formulas.} \\
\text{Example} \\
\text{A fish tank is a right rectangular prism that is 2 ft long and 1 ft wide.} \\
\text{The tank can hold 3 ft}^3 \text{ of water when it is full. Tameka fills the tank } \frac{2}{5} \text{ full.} \\
\text{Find the area of the base of the tank, } (2)(1) = 2 \text{ ft}^2. \\
\text{Since } V = B \cdot h, \text{ you can divide the volume by } B \text{ to find } h. \\
\text{The height of the water when the tank is full is } h = \frac{3}{2} \text{ ft.} \\
\text{The height of the water in the tank is } \frac{2}{5} \text{ of } \frac{3}{2} \text{ ft.} \\
\text{a. What is the volume of the water that Tameka puts in the fish tank in the Example?} \\
\text{Explain how you can use the fact that the tank is } \frac{2}{5} \text{ full to find the volume of the water without finding the height of the fish tank.} \\
\text{b. How can you use your answer to problem 1a to find the height of the water?} \\
\text{What is the height of the water?} \\

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Problem 1717

Solve the triangle. Round the lengths of sides to the nearest tenth and angles to the nearest degree. $c \approx \square$ (Type an integer or decimal rounded to the nearest tenth as needed.) $\mathrm{A} \approx \square^{\circ}$ $\square$ (Round to the nearest degree as needed.) $\mathrm{B} \approx \square^{\circ}$ (Round to the nearest degree as needed.)

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Problem 1718

I'm sorry, but I can't assist with that request.

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Problem 1719

7) A rectangular enclosure is bounded on one side by a river and on the other 3 sides by a total of 100 m of fencing. Find the dimensions of the largest possible enclosure.

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Problem 1720

LESSON 11 / SESSION 3 (2) Kevin designs the pasta box shown. The box holds exactly the required amount of pasta. Kevin's boss says there must be at least $\frac{1}{2} \mathrm{in}$ . of space between the top of the pasta and the top of the box. Kevin changes his design so that the height of the box is 9 in . and the area of the base is 9 in. ${ }^{2}$ . Will the pasta fit in the new $6 \frac{1}{2} \mathrm{in}$ . box with enough space at the top? Explain.

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Problem 1721

For Question 37 do the following: (a) identify the $x$ -intercept (b) identify the $y$ -intercept (c) graph the line using the intercepts
7. $x-3 y=-6$ (7 point

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Problem 1722

(2) Given: $a \| b, \angle 2 \cong \angle 3$
Prove: $\angle 1 \cong \angle 3$
Reasons

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Problem 1723

Wed: Graph the ordered pairs from the tables on the given graphs: a. b. \begin{tabular}{l|l|l|l} \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline \end{tabular} \begin{tabular}{c|c} $x$ & $y$ \\ \hline 1 & 6 \\ 2 & 9 \\ 3 & 12 \\ 4 & 15 \end{tabular}

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Problem 1724

Draw a line through the point $(-1,2)$ that is parallel to the graph of the line. Line
Undo Redo $\times$ Reset

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Problem 1725

Listen
Draw a line through the point $(-1,2)$ that is parallel to the graph of the
Line Undo
Redo $\times$ Reset

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Problem 1726

Solve the triangle. Round all angles to the nearest degree. $A \approx 46{ }^{\circ}$ (Do not round until the final answer. Then round to the nearest degree as needed.) B $\approx$ $\square$ - (Do not round until the final answer. Then round to the nearest degree as needed.) $\mathrm{C} \approx$ $\square$ $]^{\circ}$ (Do not round until the final answer. Then round to the nearest degree as needed.)

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Problem 1727

(1 point) You are on level ground in the late afternoon. The Sun is at angle of elevation of 20 degrees. A tree casts a 200 feet long shadow. The height of the tree is $\square$ feet.

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Problem 1728

An airplane flies $33^{\circ}$ for 210 mi , and then $280^{\circ}$ for 180 mi . How far is the airplane, then, from the starting point, and in what direction is the plane moving?
The airplane flies approximately $\square$ ${ }^{\circ}$ for $\square$ miles $\square$ from the starting point. (Simplify your answers. Round to the nearest integer as needed.)

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Problem 1729

Square $P Q R S$ has its top left corner at $P(3,4)$ and its sides parallel to either the $x$ -axis or the $y$ -axis. List one set of possible coordinates for the other three vertices. Explain how you determined these coordinates. Draw the square.

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Problem 1730

Solve the triangle. $a=3, b=13, c=12$ $A=$ ${ }^{\circ}$ $\square$ (Do not round until the final answer. Then round to the nearest degree as needed.) $B=$ $\square$ ${ }^{\circ}$ (Do not round until the final answer. Then round to the nearest degree as needed.) $C=$ $\square$ ${ }^{\circ}$ (Do not round until the final answer. Then round to the nearest degree as needed.)

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Problem 1731

Segment
Question 5(Multiple Choice Worth 1 points) (01.01 MC)
James defines a circle as "the set of all the points equidistant from a given point." His statement is not precise enough because he should specify that a circle includes its diameter the set of points is in a plane a circle includes its radius the set of points are collinear
Question 6(Multiple Choice Worth 1 points) (01.01 LC)

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Problem 1732

Use Heron's formula to find the area of the triangle. Round to the nearest square foot. Side $a=8$ feet Side $b=8$ feet Side $c=4$ feet
The area is approximately $\square$ square feet.

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Problem 1733

Question 2(Multiple Choice Worth 1 points) (01.01 LC)
Which of the following is an infinite number of points extending in opposite directions that has only one dimension? Line Ray Point Vertex ious Question Question 1 (Not Answered) 0

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Problem 1734

A rondavel (hut / circular dwelling) has a square woven carpet covering the floor as shown in the diagram below. The circumference of the rondavel is 113,1 metres.
Calculate the area of the floor which is not covered by the carpet.

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Problem 1735

The figure shows a 350 foot tower on the side of a hill that forms a $5^{\circ}$ angle with the horizontal. Find the length of each of the two guy wires that are anchored 110 feet uphill and downhill from the tower's base and extend to the top of the tower.
Part (a) What is the length of the uphill guy wire? 357.6 feet (Round to the nearest tenth as needed.)
Part (b) What is the length of the downhill guy wire? $\square$ feet (Round to the nearest tenth as needed.)

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Problem 1736

/0.52 Points] DETAILS MY NOTES LARAT11 8.4.039.
Find the angle $\theta$ (in degrees) between the vectors. (Round your answer to two decimal places.) $\begin{array}{c} \mathbf{u}=3 \mathbf{i}+4 \mathbf{j} \\ \mathbf{v}=-9 \mathbf{i}+7 \mathbf{j} \\ \theta=7.00 \end{array}$ Need Help? Read It Submit Answer

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Problem 1737

\text{The tree in the backyard has a good limb for hanging a tire swing. The limb is 10 feet off the ground. The tire will hang 2 feet off the ground. How much rope will you need (allow a foot on each end to tie the rope)?}

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Problem 1738

corresponding side length of quadina
2 A triangle will be dilated on the coordinate grid to create a larger triangle. The triangle is dilated using the origin as the center of dilation. Write a rule that could represent this dilation. Write the correct answer in each box. Not all answers will be used. $0.25 x$ $\square$ $4 x$ $\square$ $x-1.5$ $\square$ $\square$ $y+1.5$
The triangle was dilated according to the rule $(x, y) \rightarrow($ $\square$ $\square$ ) e2024 登

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Problem 1739

For all problems, a polygon graphed on a coordinate grid will be dilated with the origin as the center of dilation.
1 If $(x, y)$ represents any point on the polygon, find the rule that represents the dilation that has been applied to the polygon if the scale factor is $\frac{2}{5}$ . $(x, y) \rightarrow($ $\qquad$ $\qquad$

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Problem 1740

15.923 incorrect
The answer above is NOT correct.
Find the lengths of the three sides of the triangle $A B C$ in $\mathbb{R}^{3}$ if $A=(4,4,-3), B=(-5,4,3)$ and $C=(-1,-1,2)$ . Enter your answers as a comma separated list. $\square$ help (numbers)

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Problem 1741

Find the area of the region indicated in blue. Area $=$ $\square$ sq-units
Report answer accurate to 3 decimal places.

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Problem 1742

A steep mountain is inclined 72 degrees from the horizontal and rises 3100 vertical feet above the surrounding plain. A cable car is to be installed that will travel from a point 920 ft from the base of the mountain to the top. Find the shortest length of cable needed. Your answer is $\square$ ft ;

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Problem 1743

2. The dimensions of a square are altered so that one dimension is increased by 5 feet, while the other is decreased by 3 feet. The area of the resulting rectangle is $84 \mathrm{ft}^{2}$ . What was the perimeter of the original square?

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Problem 1744

The shorter leg of a right triangle is 8 less than the hypotenuse. The longer leg is 1 less than the hypotenuse. Find the perimeter of the triangle.

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Problem 1745

The radius of a circle is 1 inch. What is the circle's area? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth.

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Problem 1746

The diameter of a circle is 2 inches. What is the circle's area?
Use $\pi \approx 3.14$ and round your answer to the nearest hundredth.

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Problem 1747

$-4 x^{2}+y^{2}+16 x-14 y-111=0$

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Problem 1748

The diameter of a circle is 78.6 feet. What is the circle's area? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square feet

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Problem 1749

Problem A Find the resultant of the two forces using: a) Graphical method b) Cosine and sine rule method c) Force components

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Problem 1750

Given right triangle $A B C$ with altitude $\overline{B D}$ drawn to hypotenuse $\overline{A C}$ . If $A C=49$ and $B C=21$ , what is the length of $\overline{D C}$ ?

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Problem 1751

Find the resultant of the two forces using: a) graphical method b) Cosine and sine rule methods c) Force components.

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Problem 1752

11. На рисунке ты видишь график функции у $=$ $\mathrm{f}(\mathrm{x})$ .
Какие из предложенных утверждений верны? Запиши их номера. 1) $f(3)=2$ 2) Наибольшее значение функции равно 4 3) $\mathrm{f}(\mathrm{x})>0$ при $-1<\mathrm{x}<3$

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Problem 1753

Find the area of the region bound by the following equations: $y=6 x+6, \quad y=0, \quad x=3 \text { and } x=7$

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Problem 1754

Determine the area of the given square. $A=B * H$

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Problem 1755

SULIT 4 Rajah 4 menunjukkan lokus bagi dua titik bergerak $A$ dan $B(x, y), P Q$ ialah diameter bagi bulatan yang berpusat $S$ . Diagram 4 shows the locus for two moving points $A(x, y)$ and $B(x, y) . P Q$ is diameter of circle centered at $S$ .
Rajah 4 Diagram 4 Titik $A$ bergerak dengan keadaan sentiasa sama jarak dari titik $P(6,-1)$ dan $Q(4,-9)$ . Titik $B(x, y)$ bergerak dengan keadaan segi tiga $P B Q$ sentiasa bersudut tegak di $B$ . The point $A$ moves such that it is always equidistant from the point $P(6,-1)$ and $Q(4,-9)$ . The point $B(x, y)$ moves such that the triangle $P B Q$ is always having a right angle at $B$ . (a) Cari persamaan lokus bagi $B$ , jika garis $P B$ berserenjang dengan garis $B Q$ .
Find the equation of the locus of point $B$ , if the line of $P B$ is perpendicular to line of $B G$ . [2 markah] [2 marks] (b) Diberi lokus bagi titik $A$ ialah $x+4 y+15=0$ . Cari koordinat titik $R$ dan titik $T$ iaitu titik- titik persilangan bagi kedua-dua lokus itu. Given the locus of point $A$ is $x+4 y+15=0$ . Find the coordinates of point $R$ and point $T$ which is the intersection points of both loci. [4 markah] [4 marks]

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Problem 1756

Pả en bergssida som lutar $20^{\circ}$ mot horisontalplanet vill man anlăgga en ridväg. För att minska vägens lutning och underlätta fờr hästar att gå uppfôr sluttningen lägger man ridvăgen snett uppåt.
Beräkna vinkeln $x$ så att lutningen på ridvăgen $A B$ blir $15^{\circ}$ . Se figur.

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Problem 1757

39. Dans les figures suivantes, - $m \angle F G J=m \angle N P S$ , - $m \overline{F G}=m \overline{N P}$ .
Montrez que les triangles FGJ et NPS sont isométriques.

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Problem 1758

Considérons le triangle FGH illustré ci-dessous.
Lequel des triangles décrits ci-dessous est nécessairement semblable au triangle FGH ? A) Le triangle $A J K$ , où $m \angle A J K=55^{\circ}, m \overline{K J}=6 \mathrm{~cm}$ et $m \overline{A K}=8 \mathrm{~cm}$ . B) Le triangle $B N P$ , où $m \angle B N P=55^{\circ}, m \overline{B N}=4 \mathrm{~cm}$ et $m \overline{P N}=3 \mathrm{~cm}$ . C) Le triangle $C V T$ , où $\mathrm{m} \angle C V T=55^{\circ}, \mathrm{m} \overline{\mathrm{TV}}=65 \mathrm{~cm}$ et $\mathrm{m} \overline{\mathrm{CV}}=85 \mathrm{~cm}$ . D) Le triangle $D S Q$ , où $m \angle D S Q=55^{\circ}, m \overline{D Q}=70 \mathrm{~cm}$ et $m \overline{D S}=70 \mathrm{~cm}$ .

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Problem 1759

Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement. Then, find the valueg the variables. 25.
27. $\square$ 26. 28.
29. The screen on your old television is 20 inches wide and 15 inches high. The screen on your new widescreen television is 16 inches wide and 9 inches high. Is the screen on your new TV a dilation of the screen on your old TV? Explain.
Olit Simen!
Now Sereen

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Problem 1760

two points.
9. $(5,3)$ and $(5,-9)$

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Problem 1761

11. $(14,-8)$ and $(7,-6)$ slope coruncts

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Problem 1762

9. A cardboard box measures 40 cm by 40 cm by 30 cm . Calculate 6 length of the space diagonal, to the nearest centimetre.

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Problem 1763

Which is the slope of the line that passes through the points $(3,17)$ and $(7,25)$ ? CLEAR CHECK slope $=-2$ slope $=2$ slope $=-\frac{1}{2}$ slope $=\frac{1}{2}$

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Problem 1764

(a) (b) + Can the HL Congruence Property be used? ○ Yes O No Yes No

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Problem 1765

(c) (d)
Can the HL Congruence Property be used? Yes No Yes No

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Problem 1766

se the given information to prove that $\triangle G E D \cong \triangle G F D$ .
Prove: $\triangle G E D \cong \triangle G F D$ Send To Proof Statement Reason
1 $\square$ Reason? Save For Later

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Problem 1767

$\text{Given a triangle with side lengths: } a = 12 \, \text{m}, \, b = 7.5 \, \text{m}, \, c = 8 \, \text{m}.$ \text{Find the perimeter and area of this triangle.}

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Problem 1768

8. Line $A B$ passes through the points $(-1,2)$ and $(5,-1)$ Line $C D$ passes through the points $(4,2)$ and $(1,-4)$ . Is $\mathrm{AB} \perp \mathrm{CD}$ ? Justify your answer. The use of the graph provided is optional.

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Problem 1769

汶 $]$ Solve the triangle.
柱, Write each answer as an integer or as a decimal rounded to the nearest tenth. $m \angle W=$ $\square$

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Problem 1770

Determine the range of the following graph:

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Problem 1771

Given the general form of an ellipse, $4 x^{2}+y^{2}-24 x+8 y+16=0$ , determine the correct value for each characteristic.
Orientation: [ Select ]
Center $(h, k)$ : $h=$ [Select ] $k=$ [ Select ]
Length of the major axis: [ Select ]

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Problem 1772

Graph the solution set of the system of inequalities or indicate that the system has no solution. $\begin{array}{l} -2 x+y<6 \\ -2 x+y>-1 \end{array}$ A. B. C. D.

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Problem 1773

Mike and Paul are on a lake kayaking. Using coordinates on a map, they found that they were located at the point $(11,14)$ . They are planning on having lunch on an island that is located at $(-4,2)$ .
What is the distance between the points to the nearest tenth of a unit? A. The island is 13.9 units away. B. The island is 17.5 units away. C. The island is 19.2 units away D. The island is 21.9 units away.

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Problem 1774

4) Find the slopes and $y$ -intercepts for each of the line that passes through the following two points:
P (0.6, -1.3) and Q (2.3, -2.4)

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Problem 1775

A mountain climber is climbing from the top of a 12,000-foot peak to the top of a 14,000-foot peak. The horizontal distance between the two peaks is 3,000 feet.
What is the average slope to get from the first peak to the second peak? A. $\frac{14}{3}$ B. $\frac{3}{2}$ C. $\frac{2}{3}$ D. $\frac{3}{14}$

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Problem 1776

In the diagram below, quadrilateral $Q R S T$ is inscribed in circle $U$ . Solve for $x$ and $y$ .

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Problem 1777

Question
In the diagram below, quadrilateral $K L M N$ is inscribed in circle $O$ . Find the measure of $\angle N$ .

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Problem 1778

A school playground is in the shape of a rectangle 400 feet long and 200 feet wide. If fencing costs $\$ 19$ per yard, what will it cost to place fencing around the playground? \\square$

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Problem 1779

Consider the following letters from the English alphabet written as shown. H N T Y Z
Which letters contain perpendicular line segments?
The letters that contain perpendicular line segments are (Use a comma to separate answers as needed.)

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Problem 1780

Find the measure of angle $c$ in degrees. Round to two decimal places as necessary.
Show your work here

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Problem 1781

Considérons les triangles rectangles JFS, FSN, SQN et QNP illustrés ci-dessous.
Au dixième de degré près, quelle est la mesure de l'angle $S N Q$ ?

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Problem 1782

3) Two ranger stations are on an east-west line 68 mi apart. A forest fire, F , is located on a bearing of N 590 E from the western station at B and a bearing of $\mathrm{N} 290^{\circ}$ from the eastern station at A . (a) Correctly label the diagram below. (b) How far is he fire from the eastern station, A? 1

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Problem 1783

Find the measure of angle $a$ in degrees. Round to two decimal places as necessary.

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Problem 1784

Considérons le triangle LMN illustré ci-dessous.
Lequel des triangles suivants est nécessairement isométrique au triangle LMN? Préciser la condition minimale d'isométrie. A) $k$ 19 cm $\qquad$ B) C) D)

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Problem 1785

18. $y$

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Problem 1786

On a tracé la hauteur BD du triangle rectangle $A B C$ illustré ci-dessous.
Quelle est la mesure de la hauteur BD?

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Problem 1787

The graph of a function $h$ is shown below. Find one value of $x$ for which $h(x)=1$ and find $h(-2)$ . (a) One value of $x$ for which $h(x)=1$ : $\square$ (b) $h(-2)=$ $\square$

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Problem 1788

For the right triangles below, find the exact values of the side lengths $b$ and $h$ . If necessary, write your responses in simplified radical form. $b=$ $\square$ $\square$ $h=$ $\square$

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Problem 1789

Question 10 Pause Zoom
A mountain climber is climbing from the top of a 12,000 -foot peak to the top of a 14,000 -foot peak. The horizontal distance between the two peaks is 3,000 feet. What is the average slope to get from the first peak to the second peak?

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Problem 1790

For the right triangles below, find the exact values of the side lengths $a$ and $c$ . If necessary, write your responses in simplified radical form. $a=$ $\square$
$\square$ $c=$ $\square$

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Problem 1791

For the right triangle below, find the measure of the angle. Figure is not to scale. $\square$ degrees

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Problem 1792

(SEII 1 BLOCK) HCS_24-25_Algedra 1_Unit 7 Signed in as: Ian Alexander Garrido Question 6 Pause Zoom Review / Finish Test ABC $(-6, b)$ . To win the challenge, Maggie must go to point $A$ and Mark must go to point $B$ .
What are the coordinates of point $A$ and point $B$ ?

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Problem 1793

2 Bazuar në të dhënat e skicës gjej perimetrin e trekëndëshit.

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Problem 1794

4) A person throws a ball with an initial velocity of 15 meters $/ \mathrm{sec}$ at an angle of $20^{\circ}$ above the grd How far from the person will the ball land? Horizo

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Problem 1795

Lequel des triangles ci-dessous est nécessairement isométrique au triangle $A B C$ ? Préciser la condition minimale d'isométrie. B) D) $36^{\circ} \quad 104^{\circ}$

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Problem 1796

The graph shows the map of a park with sport fields, play area, and forest label. The entrance of the park is at the origin. The segments represent a walking path. The value on each axis is in hundreds of feet.
The triangular section represents a forest along the walking path.
Which value represents the area of the forest? A. 160,000 square feet B. 480,000 square feet C. 560,000 square feet D. 640,000 square feet

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Problem 1797

Area involving rectangles and triangles
A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer. $\square$

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Problem 1798

Find the measure of angle $z$ in degrees. Round to two decimal places as necessary.

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Problem 1799

Line 1: Goes through $(15,-39)$ and $(-3,15)$ Line 2: Goes through $(-9,1)$ and ${ }^{-}(-6,2)$ The slope of Line 1 is $m=$ $\square$ The slope of Line 2 is $m=$ $\square$ Finally, which of the following is true? Line 1 is parallel to Line 2. Line 1 is perpendicular to Line 2 Line 1 is neither parallel nor perpendicular to Line 2

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Problem 1800

Consider a triangle $A B C$ like the one below. Suppose that $b=17, c=20$ , and $B=39^{\circ}$ . (The figure is not drawn to scale.) Solve the triangle. Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth. If no such triangle exists, enter "No solution." If there is more than one solution, use the button labeled "or". $C=\square^{\circ}, A=\square^{\circ}, a=$ $\square$ $\square$ or No solution

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Geometry

Problem 1701

What is 270∘270^{\circ}270∘ converted to radians? π6\frac{\pi}{6}6π​ 32\frac{3}{2}23​ 3π2\frac{3 \pi}{2}23π​ 3

Problem 1702

Slope = \qquad

Problem 1703

A circle has an area of 100π100 \pi100π square centimeters. Find its radius.

Problem 1704

18. Cone AAA has a radius 12 inches and Cone BBB has a radius of 30 inches. If the cones are similar and the volume of Cone AAA is 48ft248 \mathrm{ft}^{2}48ft2, find the volume of Cone B. 750ft3750 \mathrm{ft}^{3}750ft3

Problem 1705

Write the equation of the line that passes through the point (2,4) and has the slope 12.\text{Write the equation of the line that passes through the point } (2,4) \text{ and has the slope } \frac{1}{2}.Write the equation of the line that passes through the point (2,4) and has the slope 21​.

Problem 1706

Problem 1707

QuestionFind the length of the third side. If necessary, round to the nearest tenth.Answer □\square□ Submit Answer

Problem 1708

Problem 1709

Problem 1710

Given the □\square□ JKLM, Find the value for x=x=x= \qquad Y=Y=Y= \qquad z=z=z= \qquad

Problem 1711

Problem 1712

LLundefined\overleftrightarrow{L L}LL and MOundefined\overleftrightarrow{M O}MO are parallel lines.Which angles are alternate interior angles? ∠JKN\angle J K N∠JKN and ∠ONP\angle O N P∠ONP

Problem 1713

5. (4,−3)(4,-3)(4,−3); slope =−1=-1=−1

Problem 1714

Problem 1715

Problem 1716

Problem 1717

Problem 1718

I'm sorry, but I can't assist with that request.

Problem 1719

7) A rectangular enclosure is bounded on one side by a river and on the other 3 sides by a total of 100 m of fencing. Find the dimensions of the largest possible enclosure.

Problem 1720

Problem 1721

For Question 37 do the following: (a) identify the xxx-intercept (b) identify the yyy-intercept (c) graph the line using the intercepts7. x−3y=−6x-3 y=-6x−3y=−6 (7 point

Problem 1722

(2) Given: a∥b,∠2≅∠3a \| b, \angle 2 \cong \angle 3a∥b,∠2≅∠3Prove: ∠1≅∠3\angle 1 \cong \angle 3∠1≅∠3Reasons

Problem 1723

Problem 1724

Draw a line through the point (−1,2)(-1,2)(−1,2) that is parallel to the graph of the line. LineUndo Redo ×\times× Reset

Problem 1725

ListenDraw a line through the point (−1,2)(-1,2)(−1,2) that is parallel to the graph of theLine UndoRedo ×\times× Reset

Problem 1726

Problem 1727

(1 point) You are on level ground in the late afternoon. The Sun is at angle of elevation of 20 degrees. A tree casts a 200 feet long shadow. The height of the tree is □\square□ feet.

Problem 1728

Problem 1729

Square PQRSP Q R SPQRS has its top left corner at P(3,4)P(3,4)P(3,4) and its sides parallel to either the xxx-axis or the yyy-axis. List one set of possible coordinates for the other three vertices. Explain how you determined these coordinates. Draw the square.

Problem 1730

Problem 1731

Problem 1732

Use Heron's formula to find the area of the triangle. Round to the nearest square foot. Side a=8a=8a=8 feet Side b=8b=8b=8 feet Side c=4c=4c=4 feetThe area is approximately □\square□ square feet.

Problem 1733

Question 2(Multiple Choice Worth 1 points) (01.01 LC)Which of the following is an infinite number of points extending in opposite directions that has only one dimension? Line Ray Point Vertex ious Question Question 1 (Not Answered) 0

Problem 1734

A rondavel (hut / circular dwelling) has a square woven carpet covering the floor as shown in the diagram below. The circumference of the rondavel is 113,1 metres.Calculate the area of the floor which is not covered by the carpet.

Problem 1735

Problem 1736

Problem 1737

\text{The tree in the backyard has a good limb for hanging a tire swing. The limb is 10 feet off the ground. The tire will hang 2 feet off the ground. How much rope will you need (allow a foot on each end to tie the rope)?}

Problem 1738

Problem 1739

Problem 1740

Problem 1741

Find the area of the region indicated in blue. Area === □\square□ sq-unitsReport answer accurate to 3 decimal places.

Problem 1742

Problem 1743

2. The dimensions of a square are altered so that one dimension is increased by 5 feet, while the other is decreased by 3 feet. The area of the resulting rectangle is 84ft284 \mathrm{ft}^{2}84ft2. What was the perimeter of the original square?

Problem 1744

The shorter leg of a right triangle is 8 less than the hypotenuse. The longer leg is 1 less than the hypotenuse. Find the perimeter of the triangle.

Problem 1745

The radius of a circle is 1 inch. What is the circle's area? Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth.

Problem 1746

The diameter of a circle is 2 inches. What is the circle's area?Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth.

Problem 1747

−4x2+y2+16x−14y−111=0-4 x^{2}+y^{2}+16 x-14 y-111=0−4x2+y2+16x−14y−111=0

Problem 1748

The diameter of a circle is 78.6 feet. What is the circle's area? Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth. □\square□ square feet

Problem 1749

Problem A Find the resultant of the two forces using: a) Graphical method b) Cosine and sine rule method c) Force components

Problem 1750

What is $270^{\circ}$ converted to radians? $\frac{\pi}{6}$ $\frac{3}{2}$ $\frac{3 \pi}{2}$ 3

Slope = $\qquad$

A circle has an area of $100 \pi$ square centimeters. Find its radius.

18. Cone $A$ has a radius 12 inches and Cone $B$ has a radius of 30 inches. If the cones are similar and the volume of Cone $A$ is $48 \mathrm{ft}^{2}$ , find the volume of Cone B. $750 \mathrm{ft}^{3}$

$\text{Write the equation of the line that passes through the point } (2,4) \text{ and has the slope } \frac{1}{2}.$

Question
Find the length of the third side. If necessary, round to the nearest tenth.
Answer $\square$ Submit Answer

Given the $\square$ JKLM, Find the value for $x=$ $\qquad$ $Y=$ $\qquad$ $z=$ $\qquad$

$\overleftrightarrow{L L}$ and $\overleftrightarrow{M O}$ are parallel lines.
Which angles are alternate interior angles? $\angle J K N$ and $\angle O N P$

5. $(4,-3)$ ; slope $=-1$

For Question 37 do the following: (a) identify the $x$ -intercept (b) identify the $y$ -intercept (c) graph the line using the intercepts
7. $x-3 y=-6$ (7 point

(2) Given: $a \| b, \angle 2 \cong \angle 3$
Prove: $\angle 1 \cong \angle 3$
Reasons

Draw a line through the point $(-1,2)$ that is parallel to the graph of the line. Line
Undo Redo $\times$ Reset

Listen
Draw a line through the point $(-1,2)$ that is parallel to the graph of the
Line Undo
Redo $\times$ Reset

(1 point) You are on level ground in the late afternoon. The Sun is at angle of elevation of 20 degrees. A tree casts a 200 feet long shadow. The height of the tree is $\square$ feet.

Square $P Q R S$ has its top left corner at $P(3,4)$ and its sides parallel to either the $x$ -axis or the $y$ -axis. List one set of possible coordinates for the other three vertices. Explain how you determined these coordinates. Draw the square.

Use Heron's formula to find the area of the triangle. Round to the nearest square foot. Side $a=8$ feet Side $b=8$ feet Side $c=4$ feet
The area is approximately $\square$ square feet.

Question 2(Multiple Choice Worth 1 points) (01.01 LC)
Which of the following is an infinite number of points extending in opposite directions that has only one dimension? Line Ray Point Vertex ious Question Question 1 (Not Answered) 0

A rondavel (hut / circular dwelling) has a square woven carpet covering the floor as shown in the diagram below. The circumference of the rondavel is 113,1 metres.
Calculate the area of the floor which is not covered by the carpet.

Find the area of the region indicated in blue. Area $=$ $\square$ sq-units
Report answer accurate to 3 decimal places.

2. The dimensions of a square are altered so that one dimension is increased by 5 feet, while the other is decreased by 3 feet. The area of the resulting rectangle is $84 \mathrm{ft}^{2}$ . What was the perimeter of the original square?

The radius of a circle is 1 inch. What is the circle's area? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth.

The diameter of a circle is 2 inches. What is the circle's area?
Use $\pi \approx 3.14$ and round your answer to the nearest hundredth.

$-4 x^{2}+y^{2}+16 x-14 y-111=0$

The diameter of a circle is 78.6 feet. What is the circle's area? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square feet

Given right triangle $A B C$ with altitude $\overline{B D}$ drawn to hypotenuse $\overline{A C}$ . If $A C=49$ and $B C=21$ , what is the length of $\overline{D C}$ ?

Find the area of the region bound by the following equations: $y=6 x+6, \quad y=0, \quad x=3 \text { and } x=7$

Determine the area of the given square. $A=B * H$

39. Dans les figures suivantes, - $m \angle F G J=m \angle N P S$ , - $m \overline{F G}=m \overline{N P}$ .
Montrez que les triangles FGJ et NPS sont isométriques.

two points.
9. $(5,3)$ and $(5,-9)$

11. $(14,-8)$ and $(7,-6)$ slope coruncts

Which is the slope of the line that passes through the points $(3,17)$ and $(7,25)$ ? CLEAR CHECK slope $=-2$ slope $=2$ slope $=-\frac{1}{2}$ slope $=\frac{1}{2}$

(c) (d)
Can the HL Congruence Property be used? Yes No Yes No

se the given information to prove that $\triangle G E D \cong \triangle G F D$ .
Prove: $\triangle G E D \cong \triangle G F D$ Send To Proof Statement Reason
1 $\square$ Reason? Save For Later

$\text{Given a triangle with side lengths: } a = 12 \, \text{m}, \, b = 7.5 \, \text{m}, \, c = 8 \, \text{m}.$ \text{Find the perimeter and area of this triangle.}

8. Line $A B$ passes through the points $(-1,2)$ and $(5,-1)$ Line $C D$ passes through the points $(4,2)$ and $(1,-4)$ . Is $\mathrm{AB} \perp \mathrm{CD}$ ? Justify your answer. The use of the graph provided is optional.

汶 $]$ Solve the triangle.
柱, Write each answer as an integer or as a decimal rounded to the nearest tenth. $m \angle W=$ $\square$

Given the general form of an ellipse, $4 x^{2}+y^{2}-24 x+8 y+16=0$ , determine the correct value for each characteristic.
Orientation: [ Select ]
Center $(h, k)$ : $h=$ [Select ] $k=$ [ Select ]
Length of the major axis: [ Select ]

Graph the solution set of the system of inequalities or indicate that the system has no solution. $\begin{array}{l} -2 x+y<6 \\ -2 x+y>-1 \end{array}$ A. B. C. D.

4) Find the slopes and $y$ -intercepts for each of the line that passes through the following two points:
P (0.6, -1.3) and Q (2.3, -2.4)