Geometry

Problem 3001

What is the best definition of an angle?

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Problem 3002

Find the density of object A with dimensions 6.0 cm x 3.0 cm x 1.0 cm and mass 36 g. Options: $2 \mathrm{~g/ml}$ , $18 \mathrm{~g/ml}$ , $36 \mathrm{~g/ml}$ , $4 \mathrm{~g/ml}$ .

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Problem 3003

Find the hypotenuse $x$ of a right triangle with a base of 20 units and a height of 10 units. Round to the nearest hundredth.

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Problem 3004

If positive integers are chosen for $r$ and $s$ , with $r>s$ , then the following set of equations generates a Pythagorean triple ( $a, b, c$ ). $a=r^{2}-s^{2} \quad b=2 r s \quad c=r^{2}+s^{2}$
Use the values $\mathrm{r}=7$ and $\mathrm{s}=5$ to generate a Pythagorean triple. $a=$ (Simplify your answer.)

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Problem 3005

Analyze the equation. That is, find the center, vertices, and foci of the ellipse and graph it. $6 y^{2}+x^{2}=18$

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Problem 3006

Question 13 0/1 pt 3 19
Given the triangle , find the measure of angle $A$ using the Law of Cosines. Picture is not drawn to scale $A=$ $\square$ degrees

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Problem 3007

Analyze the equation. That is, find the center, vertices, and foci of the ellipse and graph it. $\frac{x^{2}}{16}+\frac{y^{2}}{36}=1$

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Problem 3008

In the following exercise, two sides and an angle are given. First determine whether the information results in no triangle, one tr $\mathrm{a}=9.9, \mathrm{~b}=7.6$ , and $\mathrm{A}=37^{\circ}$ $\qquad$ (Round to one decimal place as needed.) C. There is no solution.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. There is only one triangle where $\mathrm{C} \approx$ $\square$ ${ }^{\circ}$ . (Round to ofie decimal place as needed.) B. There are two triangles. The angle corresponding to the triangle containing $\mathrm{B}_{1}$ is $\mathrm{C}_{1} \approx$ $\square$ - The angle corresponding to the (Round to one decimal place as needed.) C. There is no solution.

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Problem 3009

Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle th $\mathrm{a}=12, \quad \mathrm{c}=12.5, \quad \mathrm{~A}=52^{\circ}$ A. I nere is oniy one possidie soiution tor the triangie.
The measurements for the remaining side $b$ and angles $B$ and $C$ are as follows. $\mathrm{B} \approx \square^{\circ} \quad \mathrm{C} \approx$ $\square$ $\mathrm{b} \approx$ $\square$ B. There are two possible solutions for the triangle.
The measurements for the solution with the the smaller angle C are as follows. $\mathrm{c}_{1} \approx \square$ $\mathrm{B}_{1} \approx \square^{\circ}$ $\square$ $\mathrm{b}_{1} \approx$ $\square$ The measurements for the solution with the the larger angle C are as follows. $C_{2} \approx \square^{0} \quad B_{2} \approx$ $\square$ $\mathrm{b}_{2} \approx \square$ C. There are no possible solutions for this triangle.

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Problem 3010

In the following exercise, two sides and an angle are given. First determine whether the information results in no triangle, one triangle, or two triangles. Solve the resulting triangle. $a=9.3, b=7.2 \text {, and } A=36^{\circ}$
Determine the value of $\sin B$ . $\sin B=27.07$ (Round to four decimal places as needed.)

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Problem 3011

Solve for $x$ . Round to the nearest tenth, if necessary.
Answer Attempt 1 out of 5 $x=$ $\square$ Submit Answer

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Problem 3012

MARK(S) A rectangle has a perimeter of 16 metres. The maximum area of the rectangle is A $20 \mathrm{~m}^{2}$

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Problem 3013

Sketch the region enclosed by the curves and find its area. $y=x, y=4 x, y=-x+2$
AREA $=$ $\square$

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Problem 3014

If $P$ is the orthocenter of $\triangle ABC$ , $AB = 13$ , $BF = 9$ , and $FC = 5.6$ , find the perimeter of $\triangle ABC$ .

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Problem 3015

$2.3 \& 12.1$ Question 7, 2.3.45 HW Score: 27.27\%, 6 of 22 points ) Points: 0 of 1 Save
An equation of the line $L$ is $\square$ (Simplify your answer. Use integers or fractions for any numbers in the equation.)

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Problem 3016

Part 1 of 2 Completed: 3 of 13 My score: 3/13 pts (23.08\%)
Use geometry (not Riemann sums) to evaluate the definite integral. Sketch the graph of the integrand, show the region in question, and interpret your result. $\int_{0}^{6} \sqrt{36-x^{2}} d x$
Choose the correct graph below. A. B. C. D. my instructor Clear all Check ai (Caniv) Nov 24

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Problem 3017

40. A cone-shaped paper drinking cup is to be made to hold $27 \mathrm{~cm}^{3}$ of water. Find the height and radius of the cup that will use the smallest amount of paper.

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Problem 3018

4.
Yukarıda verilen afişler eşit uzunlukta en büyük parçalara ayrılıp şekilde verildiği gibi sıra ile yan yana dizilecektir. $\square$ $\square$ $\square$ $\square$ Eş parçalara ayrılan parçaların her birinin etrafına santimetresi 10 TL olan tahta parçaları yerleştirilecektir. Buna göre bu iş için harcanan toplam ücret kaç TL'dir? A) 3250 B) 3120 C) 2990 D) 2860 61

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Problem 3019

figure it Out
1. Give the dimensions of a rectangle whose area is the sum of the areas of these two rectangles having measurements: $5 \mathrm{~m} \times 10 \mathrm{~m}$ and $2 \mathrm{~m} \times 7 \mathrm{~m}$ .

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Problem 3020

figure it Out
1. Give the dimensions of a rectangle whose area is the sum of the areas of these two rectangles having measurements: $5 \mathrm{~m} \times 10 \mathrm{~m}$ and $2 \mathrm{~m} \times 7 \mathrm{~m}$ .

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Problem 3021

1. [\#241] Sailing - wind speed 1 poin
A sailor sailing due north at 5 knots observes an apparent wind moving at 5 knots directly from the boat's starboard (right hand) side, i.e. at $90^{\circ}$ to the axis of the boat. What is the 'true' wind speed? (i.e. what is the speed of the wind with respect to the ground?).
The 'true' wind speed is $\qquad$ knots.
Enter answer here

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Problem 3022

a) Solve the trigonometric equation: $5 \sin \phi+3=0$ for values of $\phi$ from $0^{\circ}$ to $360^{\circ}$ . [9 marks] b) Use the diagram provided below to answer the following questions. i. Calculate the length of $|P R|$ , correct to the nearest whole number. [4 marks] ii. show that $\angle \mathrm{PSR}=90^{\circ}$ [5 marks] c) Determine whether or not the ordered triple $(8,6,9)$ is a Pythagorean triple? [2 marks]

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Problem 3023

Topic: Formulas Progress: Question ID: 502501
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
The formula for the perimeter of a rectangle is $P=2(l+w)$ and the formula for the area of a rectangle is $A=l w$ , where $l$ is the length of the rectangle and $w$ is the width.
Determine the perimeter and the area of a 3 inch by 5 inch index card. The perimeter is 15 inches and the area is 8 square inches. The perimeter is 16 inches and the area is 15 square inches. The perimeter is 8 inches and the area is 15 square inches. The perimeter is 8 inches and the area is 16 square inches.

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Problem 3024

\documentclass{article} \usepackage[utf8]{inputenc}
\begin{document}
Many luxury automobiles have thermostatically controlled air-conditioning systems for the comfort of the passengers. Sketch a block diagram of an air-conditioning system where the driver sets the desired interior temperature on a dashboard panel. Identify the function of each element of the thermostatically controlled cooling system.

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Problem 3025

```latex \begin{problem} Consider a rectangle $ABCD$ with $AB = 20 \, \text{cm}$ and $BC = 15 \, \text{cm}$ . A circle with center $O$ and radius $4 \, \text{cm}$ is inscribed such that $S$ , $X$ , and $T$ are points on the circle. The line segments $DSA$ and $DTC$ are tangents to the circle. The line segment $TX$ is a diameter of the circle. The shape $DSXT$ is removed from the corner of the rectangle, leaving a shaded shape as shown in the second diagram.
Calculate the area of the shaded shape. \end{problem}

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Problem 3026

Une coopérative scolaire possède un terrain rectangulaire pour produire des tomates. Pour augmenter sa production, le bureau de la coopérative décide d'agrandir son espace en achetant une parcelle de forme carrée et mitoyenne au terrain. Le côté de la parcelle a la même mesure que la largeur du terrain. Afin de clôturer l'espace totale de production, ils se proposent de calculer le périmètre. Cependant, ils se souviement que la longueur du terrain initial est de 20 mètres et la superficie de l'ensemble est de 525 mètres carrés. Il te sollicite pour déterminer le côté de la parcelle à acheter.
A l'aide d'une production argumentée, réponds à la préoccupation du bureau

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Problem 3027

(b) Rajah di bawah menunjukkan sebuah bulatan dengan pusat $O$ dan jejari $j \mathrm{~cm}$ . $L$ adalah luas sektor minor bagi bulatan tersebut. The diagram below shows a circle with centre $O$ and radius of $j \mathrm{~cm}, L$ is the area of minor sector of the circle.
Berdasarkan rajah tersebut, lengkapkan jadual di ruang jawapan dengan menggunakan pilihan jawapan di bawah. Based on the diagram, complete the table in the ansiver space using the options below. (Guna / use $\pi=\frac{22}{7}$ ) \begin{tabular}{|l|l|l|l|} \hline 12 & 14 & 130 & 150 \\ \hline \end{tabular}
Jawapan / Answer. \begin{tabular}{|c|c|c|} \hline $\theta^{\circ}$ & $j \mathrm{~cm}$ & $L \mathrm{~cm}^{2}$ \\ \hline 120 & & 150.85 \\ \hline & 7 & 64.17 \\ \hline \end{tabular}

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Problem 3028

'ythagoras' theorem can be used to work out an unknown side length of a rightangled triangle.
Copy and complete the workings below to calculate the unknown side length, $a$ . $\begin{aligned} a^{2}+8^{2} & =17^{2} \\ a^{2} & =17^{2}-8^{2} \\ a^{2} & =\ldots \\ a & =\ldots . \end{aligned}$ ans
Not drawn accurately

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Problem 3029

Using Pythagoras' theorem, calculate the length of PR. Give your answer in centimetres (cm) and give any decimal answers to 1 d .p.
Not drawn accurately

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Problem 3030

Aufgabe 33 Der Punkt $P^{\prime}(13 \mid 0)$ ist entstanden durch eine Spiegelung des Punktes $P(5 \mid 12)$ an der Ursprungsgeraden $g$ .
Bestimmen Sie die Steigung von $g$ .

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Problem 3031

Listen
Decide whether enough information is given to prove that $\triangle A B C \cong \triangle Q R S$ . If so, state the theorem you would use. There is not enough information. There is enough information to use the AAS Congruence Theorem. There is enough information to use the ASA Congruence Theorem.

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Problem 3032

9 Mark for Review
Circle A in the $x y$ -plane has the equation $(x+5)^{2}+(y-5)^{2}=4$ . Circle B has the same center as circle $A$ . The radius of circle $B$ is two times the radius of circle $A$ . The equation defining circle B in the $x y$ -plane is $(x+5)^{2}+(y-5)^{2}=x_{2}^{2}$ , where $k$ is a constant. What is the value of $k$ ? $\square$
Answer Preview:

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Problem 3033

REASONING Which of the following congruence statements are true? Select all that apply. $\overline{T U} \cong \overline{U V}$ $\triangle S T V \cong \triangle X V W$ $\triangle T V S \cong \triangle V W U$ $\triangle V S T \cong \triangle V U W$

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Problem 3034

$\frac{7}{8}$ of a revolution represents how many radians?

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Problem 3035

Two parallelograms fit inside a rectangle as shown. Work out the area of the shaded part of this shape.

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Problem 3036

In the triangle shown, - $\angle A=49$ degrees - $\angle B=49$ degrees - length $A B=7$
Find the measures of the other sides and angles $\angle C=82$ $\square$ degrees length $A C=$ $\square$ (Round your answer to three decimal places) length $B C=$ $\square$ (Round your answer to three decimal places)

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Problem 3037

9. Construct two line segments of lengths $A B=4.4 \mathrm{~cm}$ and $C D=2.8 \mathrm{~cm}$ . Then construct the following line segments. (a) $X Y=2 C D$ (b) $P Q=A B+C D$
10. If $P Q=2 \mathrm{~cm}$ and $R S=2.5 \mathrm{~cm}$ , then construct a line segment whose length is equal to (a) $P Q+R S$ (b) 2 PQ (c) RS - PQ

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Problem 3038

10. How many degrees are there in: (a) three right angles (b) $\frac{4}{5}$ of a straight angle (c) $\frac{4}{5}$ of a complete angle (d) two straight angles
11. Construct each of the following angles with the help of a protractor. (a) $30^{\circ}$ (b) $72^{\circ}$ (c) $90^{\circ}$ (d) $115^{\circ}$ (e) $165^{\circ}$ (f) $23^{\circ}$ (g) $180^{\circ}$ (h) $45^{\circ}$

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Problem 3039

6)
Slope = $\qquad$

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Problem 3040

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

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Problem 3041

Jack is planting trees along a path in the park. He wants the trees to be located equidistant from the pat
If trees $G$ and $M$ are a pair, tree $M$ should be planted at ( Select Choice $\square$ Select Choice $\square$ ).

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Problem 3042

$\triangle A B C-\triangle D E F ; m \angle A=$ $\qquad$ ; $\mathrm{m}<\mathrm{E}=$ $\qquad$ $x=$ $\qquad$ ; $\begin{array}{l} y= \\ \text { The perimeter of } \triangle A B C \text { is } 36 . \end{array}$

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Problem 3043

Focus 1 Explain why vertically opposite angles are equal.

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Problem 3044

Berechnungen von Seitenlängen $\qquad$ 6 Berechne die Llinge der llypotenuse des
7 Bereche die fehlenden Seitenllingen der rechirwinkligen Dreiecke $\left(\gamma=90^{\circ}\right.$ ). a) \begin{tabular}{|c|c|c|} \hline $a$ & $b$ & $c$ \\ \hline 5 dm & 12 dm & \\ \hline & 40 cm & 41 cm \\ \hline 20 cm & & 3.5 dm \\ \hline \end{tabular}

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Problem 3045

Use the Law of Cosines to find the remaining side(s) and angle(s) if possible. (If not possible enter DNE in each answer box). Round final answers to the nearest hundredth. $\begin{array}{l} a=153, \beta=8.4^{\circ}, c=150 \\ \alpha=\square \text { degrees } \\ \gamma=\square \text { degrees } \\ b=\square \end{array}$

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Problem 3046

In the following exercise, two sides and an angle are given. First determine whether the information results in no triangle, one triangle, or two triangles. Solve the resulting triangle. $\mathrm{a}=9.2, \mathrm{~b}=7.4 \text {, and } \mathrm{A}=38^{\circ}$ B. There are two triangles. The angle corresponding to the triangle containing $B_{1}$ is $C_{1} \approx$ $\square$ ${ }^{\circ}$ . The angle corresponding to the triangle containing $\mathrm{B}_{2}$ is $\mathrm{C}_{2} \approx$ $\square$ $\because$ (Round to one decimal place as needed.) C. There is no solution.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. There is only one triangle where $c \approx$ $\square$ - (Round to one decimal place as needed.) B. There are two triangles. The corresponding length of side c for each triangle is $\mathrm{c}_{1} \approx$ $\square$ and $\mathrm{c}_{2} \approx$ $\square$ . (Round to one decimal place as needed) C. There is no solution.

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Problem 3047

A triangular field has sides of lengths 24, 47, 59 km . Enter your answer as a number; answer should be accurate to 2 decimal places.
Find the largest angle in degrees: $\square$

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Problem 3048

Q5) A rock is projected from the edge of the top of a building with an initial velocity of $12.2 \mathrm{~m} / \mathrm{s}$ at an angle of 53? above the horizontal. The rock strikes the ground a horizontal distance of 25 m from the base of the building. Assume that the ground is level and that the side of the building is vertical. How tall is the building?
Solved earlier. a. $\quad 25.3 \mathrm{~m}$ b. $\quad 29.6 \mathrm{~m}$ C. $\quad 27.4 \mathrm{~m}$ d. 23.6 m e. $\quad 18.9 \mathrm{~m}$
ANS: d Solution:

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Problem 3049

8-2: MathXL for School: Practice and Problem-soiving ( Part 3 of 4
How can you derive the Law of Cosines for obtuse angle Q? $x^{2}+h^{2}=p^{2}$
Use the Pythagorean Theorem to write an equation for $q^{2}$ in terms of $r, x$ , and $h$ . $\mathrm{q}^{2}=\square$ Video Textbook Get more help - Question 14 of 26 Back Next

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Problem 3050

Vame: Core:
Study Guide for Test 3: Stretching and Shrinking From Investigation 1 , you should be able to... Define scale factor -
Find the scale factor between two similar figures 1. 2. Identify corresponding sides and angles (highlight one example of each in the figures above) List the similarity rules (there should be 5!)

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Problem 3051

2. Find the solution to the given systems by graphing: $\begin{array}{l} 2 x+y=-1 \\ 2 x+y=2 \end{array}$

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Problem 3052

Test yourself 6
1. Find (i) the volume (ii) the total surface area of the given triangular prism.
2. Taking $\pi=3.14$ , find the area of the sector shown.
3. Find the area of the given parallelogram.
Hence find the value of $h$ .

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Problem 3053

4) A rectangle has a length of 2 yards and a width of 7 yards. Find the (a) perimeter and (b) area of the rectangle. $\begin{array}{ll} P=2 L+2 \omega & 18 \\ A=L \omega & 14 y d^{2} \end{array}$ $\square$

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Problem 3054

```latex \text{Consider the bowstring truss shown below.}
\text{This truss is subject to the following orthogonal force pairs:} \begin{tabular}{cccc} & \text{Node force applied to} & F_{x}(\mathrm{~N}) & F_{y}(\mathrm{~N}) \\ \hline \text{Force pair 1} & \text{Node 3} & 0 & -100 \\ \text{Force pair 2} & \text{Node 8} & -140 & 45 \end{tabular}
\text{Both force pairs are applied simultaneously and are measured with respect to a global } x \text{ and } y \text{ axis system.}
\text{Calculate the value of the force between node 6 and 7.} ```

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Problem 3055

2) Calcular los lados $a, x y$ el ángulo del triángulo $A B D$ :

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Problem 3056

Given the following information, determine which lines, if any, are parallel. State the theorem that justifies your answer. $\angle 1 \cong \angle 6$ A) $p \| q$ ; Converse of Corresponding Angles Theorem B) $p \| q$ ; Alternate Interior Angles Converse C) $g \| h$ ; Converse of Corresponding Angles Theorem D) $g \| h$ ; Alternate Interior Angles Converse

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Problem 3057

Determine the domain of the following graph:

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Problem 3058

Given the triangle find the measure of angle $A$ using the Law of Cosines. Picture is not drawn to scale $A=$ $\square$ degrees
Give your answer accurate to at least one decimal place

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Problem 3059

The triangle below has a height of $4 x^{2}+2 x$ shorter than its base. What is the area of this triangle? A. $20 x^{3}-11 x^{2}-72 x+36$ B. $10 x^{3}-5.5 x^{2}-36 x+18$ C. $20 x^{3}+31 x^{2}+36$ D. $10 x^{3}+18$

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Problem 3060

The graph of a function $f$ is given. Use the graph to find each of the following. a. The numbers, if any, at which $f$ has a relative maximum. What are these relative maxima? b. The numbers, if any, at which fhas a relative minimum. What are these relative minima?

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Problem 3061

Graph the line that passes through the points $(-7,-9)$ and $(-7,-1)$ and determine the equation of the line.

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Problem 3062

Find the matrix $A$ of the rotation about the $x$ -axis through an angle of $\frac{\pi}{2}$ , counterclockwise as viewed from the positive $x$ -axis.

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Problem 3063

Find the equation of the tangent plane to the surface determined by $x^{4} y^{4}+z-45=0$ at $x=2, y=3$ . $z=$
Submit answer Next item

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Problem 3064

If the distance between two points is zero, then the points are the same. True False

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Problem 3065

Give a vector parametric equation for the line through the point $(4,5,5)$ that is parallel to the line $\langle-2,-4-4 t, 5+5 t\rangle$ : $L(t)=$ $\square$ Preview Mv Answers Submit Answere

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Problem 3066

Suppose a line is given parametrically by the equation $L(t)=\langle 1-4 t, 4-3 t, 4-t\rangle$
Then the vector and point that were used to define this line were $\bar{v}=$ $\square$ , and $p=$ $\square$ $(1,4,4)$

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Problem 3067

Points $P, Q, R$ and $S$ have position vectors $\mathbf{p}=\binom{6}{3}, \mathbf{q}=\binom{-3}{-5}, \mathbf{r}=\binom{1}{-3}$ and $\mathbf{s}=\binom{10}{5}$ Prove that the quadrilateral $P Q R S$ is a parallelogram.

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Problem 3068

For the right triangles below, find the exact values of the side lengths $b$ and $a$ . If necessary, write your responses in simplified radical form. $\begin{array}{l} b=\text { Пִ } \\ a=\square \end{array}$

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Problem 3069

A million years ago, an alien species built a vertical tower on a horizontal plane. When they returned they discovered that the ground had tilted so that measurements of 3 points on the ground gave coordinates of $(0,0,0),(1,1,0)$ , and $(0,2,3)$ . By what angle does the tower now deviate from the vertical? $\square$ radians.

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Problem 3070

Find the midpoint of points $A(-7,-7)$ and $B(-5,5)$ on line segment $\overline{AB}$ .

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Problem 3071

Find the coordinates of point $B$ if point $A$ is at $(-1,8)$ and midpoint $M$ is at $(3,5.5)$ .

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Problem 3072

Calculate the circumference and area of a circle with diameter $6 \mathrm{yd}$ using $\pi \approx 3.14$ . Include units.

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Problem 3073

Find the midpoint of the line segment connecting points A(-7,-7) and B(-5,5).

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Problem 3074

Find the distance between the points $(-5,-5)$ and $(-9,-2)$ . Choose: (A) 5, (B) 7, (C) $\sqrt{12}$ , (D) $\sqrt{29}$ .

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Problem 3075

Find $m$ if $\angle 1$ and $\angle 2$ are vertical angles with $m \angle 1=17x+1$ and $m \angle 2=20x-14$ .

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Problem 3076

Convert the angle $\alpha=62^{\circ} 59^{\prime} 41^{\prime \prime}$ to decimal degrees.

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Problem 3077

Convert the angle $38.32^{\circ}$ to degrees, minutes, and seconds.

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Problem 3078

Estimate the cost to install an 18 ft by 23 ft brick patio, given that a 15 ft by 20 ft patio costs \$2,275. Round to the nearest dollar.

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Problem 3079

Convert the angle $\alpha=77.8211^{\circ}$ to degrees, minutes, and seconds.

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Problem 3080

Sketch a cylinder with radius 3 ft and height 9 ft, then calculate the volume using $V=\pi r^{2} h$ .

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Problem 3081

Find (a) the complement and (b) the supplement of the angle measuring $20^{\circ} 18^{\prime}$ .

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Problem 3082

A garden's length is twice its width. If the perimeter is 48 m, find the garden's dimensions (length and width).

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Problem 3083

Find the slope of the line through points (1,-1) and (-3,-1) using the slope formula. What is the slope?

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Problem 3084

Which polygon is also a rectangle: kite, rhombus, trapezoid, or square?

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Problem 3085

Which polygon is also a rectangle: kite, rhombus, trapezoid, or square?

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Problem 3086

In a scale drawing, a maple tree shades $12 \frac{1}{2} \mathrm{~cm}^{2}$ . How many cm² equal $1 \mathrm{~m}^{2}$ ? (A) $\frac{3}{5}$ (B) $\frac{5}{3}$

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Problem 3087

A garden has a perimeter of 48 meters. Its length is twice the width. Find the length and width of the garden.

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Problem 3088

Find the new coordinates of B (-5,-8), C (-5,-3), D (0,-3), E (0,-8) after a $180^{\circ}$ rotation around the origin.

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Problem 3089

Find the new coordinates of vertices B $(2,-9)$ , C $(2,-4)$ , and D $(1,-9)$ after a $270^{\circ}$ clockwise rotation.

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Problem 3090

An ecology center has 260 m of fencing for a garden area of 4000 m². Find the rectangle's length and width.
(a) Let $x=$ length; width is $130-x$ . (b) Area equation: $4000=x(130-x)$ . (c) Find the dimensions.

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Problem 3091

A dartboard has area $81 \pi x^{2}$ .
(a) Find the probability of hitting area $\pi x^{2}$ as a rational expression in $x$ .
(b) Simplify the expression $\frac{\pi x^{2}}{\pi 81 x^{2}}$ .

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Problem 3092

Find the actual tire diameter in inches if a model car tire is 0.41 inches with a scale factor of $\frac{1}{64}$ . Round to 1 decimal place.

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Problem 3093

A rectangular bedroom's area is $210 \mathrm{ft}^2$ and it's $1 \mathrm{ft}$ longer than wide. Find the width.

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Problem 3094

Find the dimensions of the cardboard needed to create a box with volume 144 in³ after cutting 4-inch squares from corners.

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Problem 3095

Find the length $x$ of a rectangle with area $28 \mathrm{in}^2$ , length $14 \mathrm{in}$ , and width $13 \mathrm{in}$ . $x=$ in

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Problem 3096

Muna's gecko is $\frac{1}{2}$ inch wide and 5 inches long. If she makes it 1 inch wide, how long will the drawing be? Show your work.

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Problem 3097

Find $W Y$ given that $W$ is the midpoint of segment $V Y$ , with $V W=9 x+7$ and $W Y=16 x-28$ .

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Problem 3098

Find $G H$ given that $G H=13(x-1)$ , $I G=16+4 x$ , and $H I=25$ .

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Problem 3099

Find the endpoint $Q$ if $M$ is the midpoint of $\overline{P Q}$ , with $P(-2,3)$ and $M(5,1)$ .

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Problem 3100

What is the area of cardboard needed to construct a cube with a volume of 144 cubic inches? Each side is 4 inches.

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Geometry

Problem 3001

What is the best definition of an angle?

Problem 3002

Find the density of object A with dimensions 6.0 cm x 3.0 cm x 1.0 cm and mass 36 g. Options: 2 g/ml2 \mathrm{~g/ml}2 g/ml, 18 g/ml18 \mathrm{~g/ml}18 g/ml, 36 g/ml36 \mathrm{~g/ml}36 g/ml, 4 g/ml4 \mathrm{~g/ml}4 g/ml.

Problem 3003

Find the hypotenuse xxx of a right triangle with a base of 20 units and a height of 10 units. Round to the nearest hundredth.

Problem 3004

Problem 3005

Analyze the equation. That is, find the center, vertices, and foci of the ellipse and graph it. 6y2+x2=186 y^{2}+x^{2}=186y2+x2=18

Problem 3006

Question 13 0/1 pt 3 19Given the triangle , find the measure of angle AAA using the Law of Cosines. Picture is not drawn to scale A=A=A= □\square□ degrees

Problem 3007

Analyze the equation. That is, find the center, vertices, and foci of the ellipse and graph it. x216+y236=1\frac{x^{2}}{16}+\frac{y^{2}}{36}=116x2​+36y2​=1

Problem 3008

Problem 3009

Problem 3010

Problem 3011

Solve for xxx. Round to the nearest tenth, if necessary.Answer Attempt 1 out of 5 x=x=x= □\square□ Submit Answer

Problem 3012

MARK(S) A rectangle has a perimeter of 16 metres. The maximum area of the rectangle is A 20 m220 \mathrm{~m}^{2}20 m2

Problem 3013

Sketch the region enclosed by the curves and find its area. y=x,y=4x,y=−x+2y=x, y=4 x, y=-x+2y=x,y=4x,y=−x+2AREA === □\square□

Problem 3014

If P P P is the orthocenter of △ABC\triangle ABC△ABC, AB=13 AB = 13 AB=13, BF=9 BF = 9 BF=9, and FC=5.6 FC = 5.6 FC=5.6, find the perimeter of △ABC\triangle ABC△ABC.

Problem 3015

2.3&12.12.3 \& 12.12.3&12.1 Question 7, 2.3.45 HW Score: 27.27\%, 6 of 22 points ) Points: 0 of 1 SaveAn equation of the line LLL is □\square□ (Simplify your answer. Use integers or fractions for any numbers in the equation.)

Problem 3016

Problem 3017

40. A cone-shaped paper drinking cup is to be made to hold 27 cm327 \mathrm{~cm}^{3}27 cm3 of water. Find the height and radius of the cup that will use the smallest amount of paper.

Problem 3018

Problem 3019

figure it Out1. Give the dimensions of a rectangle whose area is the sum of the areas of these two rectangles having measurements: 5 m×10 m5 \mathrm{~m} \times 10 \mathrm{~m}5 m×10 m and 2 m×7 m2 \mathrm{~m} \times 7 \mathrm{~m}2 m×7 m.

Problem 3020

figure it Out1. Give the dimensions of a rectangle whose area is the sum of the areas of these two rectangles having measurements: 5 m×10 m5 \mathrm{~m} \times 10 \mathrm{~m}5 m×10 m and 2 m×7 m2 \mathrm{~m} \times 7 \mathrm{~m}2 m×7 m.

Problem 3021

Problem 3022

Problem 3023

Problem 3024

Problem 3025

Problem 3026

Problem 3027

Problem 3028

Problem 3029

Using Pythagoras' theorem, calculate the length of PR. Give your answer in centimetres (cm) and give any decimal answers to 1 d .p.Not drawn accurately

Problem 3030

Aufgabe 33 Der Punkt P′(13∣0)P^{\prime}(13 \mid 0)P′(13∣0) ist entstanden durch eine Spiegelung des Punktes P(5∣12)P(5 \mid 12)P(5∣12) an der Ursprungsgeraden ggg.Bestimmen Sie die Steigung von ggg.

Problem 3031

Problem 3032

Problem 3033

Problem 3034

78\frac{7}{8}87​ of a revolution represents how many radians?

Problem 3035

Two parallelograms fit inside a rectangle as shown. Work out the area of the shaded part of this shape.

Problem 3036

Problem 3037

Problem 3038

Problem 3039

6)Slope = \qquad

Problem 3040

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

Problem 3041

Jack is planting trees along a path in the park. He wants the trees to be located equidistant from the patIf trees GGG and MMM are a pair, tree MMM should be planted at ( Select Choice □\square□ Select Choice □\square□ ).

Problem 3042

Problem 3043

Focus 1 Explain why vertically opposite angles are equal.

Problem 3044

Problem 3045

Problem 3046

Problem 3047

A triangular field has sides of lengths 24, 47, 59 km . Enter your answer as a number; answer should be accurate to 2 decimal places.Find the largest angle in degrees: □\square□

Problem 3048

Problem 3049

Problem 3050

Problem 3051

2. Find the solution to the given systems by graphing: 2x+y=−12x+y=2\begin{array}{l} 2 x+y=-1 \\ 2 x+y=2 \end{array}2x+y=−12x+y=2​

Problem 3052

Test yourself 61. Find (i) the volume (ii) the total surface area of the given triangular prism.2. Taking π=3.14\pi=3.14π=3.14, find the area of the sector shown.3. Find the area of the given parallelogram.Hence find the value of hhh.

Problem 3053

4) A rectangle has a length of 2 yards and a width of 7 yards. Find the (a) perimeter and (b) area of the rectangle. P=2L+2ω18A=Lω14yd2\begin{array}{ll} P=2 L+2 \omega & 18 \\ A=L \omega & 14 y d^{2} \end{array}P=2L+2ωA=Lω​1814yd2​ □\square□

Find the density of object A with dimensions 6.0 cm x 3.0 cm x 1.0 cm and mass 36 g. Options: $2 \mathrm{~g/ml}$ , $18 \mathrm{~g/ml}$ , $36 \mathrm{~g/ml}$ , $4 \mathrm{~g/ml}$ .

Find the hypotenuse $x$ of a right triangle with a base of 20 units and a height of 10 units. Round to the nearest hundredth.

Analyze the equation. That is, find the center, vertices, and foci of the ellipse and graph it. $6 y^{2}+x^{2}=18$

Question 13 0/1 pt 3 19
Given the triangle , find the measure of angle $A$ using the Law of Cosines. Picture is not drawn to scale $A=$ $\square$ degrees

Analyze the equation. That is, find the center, vertices, and foci of the ellipse and graph it. $\frac{x^{2}}{16}+\frac{y^{2}}{36}=1$

Solve for $x$ . Round to the nearest tenth, if necessary.
Answer Attempt 1 out of 5 $x=$ $\square$ Submit Answer

MARK(S) A rectangle has a perimeter of 16 metres. The maximum area of the rectangle is A $20 \mathrm{~m}^{2}$

Sketch the region enclosed by the curves and find its area. $y=x, y=4 x, y=-x+2$
AREA $=$ $\square$

If $P$ is the orthocenter of $\triangle ABC$ , $AB = 13$ , $BF = 9$ , and $FC = 5.6$ , find the perimeter of $\triangle ABC$ .

$2.3 \& 12.1$ Question 7, 2.3.45 HW Score: 27.27\%, 6 of 22 points ) Points: 0 of 1 Save
An equation of the line $L$ is $\square$ (Simplify your answer. Use integers or fractions for any numbers in the equation.)

40. A cone-shaped paper drinking cup is to be made to hold $27 \mathrm{~cm}^{3}$ of water. Find the height and radius of the cup that will use the smallest amount of paper.

figure it Out
1. Give the dimensions of a rectangle whose area is the sum of the areas of these two rectangles having measurements: $5 \mathrm{~m} \times 10 \mathrm{~m}$ and $2 \mathrm{~m} \times 7 \mathrm{~m}$ .

figure it Out
1. Give the dimensions of a rectangle whose area is the sum of the areas of these two rectangles having measurements: $5 \mathrm{~m} \times 10 \mathrm{~m}$ and $2 \mathrm{~m} \times 7 \mathrm{~m}$ .

Using Pythagoras' theorem, calculate the length of PR. Give your answer in centimetres (cm) and give any decimal answers to 1 d .p.
Not drawn accurately

Aufgabe 33 Der Punkt $P^{\prime}(13 \mid 0)$ ist entstanden durch eine Spiegelung des Punktes $P(5 \mid 12)$ an der Ursprungsgeraden $g$ .
Bestimmen Sie die Steigung von $g$ .

$\frac{7}{8}$ of a revolution represents how many radians?

6)
Slope = $\qquad$

Jack is planting trees along a path in the park. He wants the trees to be located equidistant from the pat
If trees $G$ and $M$ are a pair, tree $M$ should be planted at ( Select Choice $\square$ Select Choice $\square$ ).

A triangular field has sides of lengths 24, 47, 59 km . Enter your answer as a number; answer should be accurate to 2 decimal places.
Find the largest angle in degrees: $\square$

2. Find the solution to the given systems by graphing: $\begin{array}{l} 2 x+y=-1 \\ 2 x+y=2 \end{array}$

Test yourself 6
1. Find (i) the volume (ii) the total surface area of the given triangular prism.
2. Taking $\pi=3.14$ , find the area of the sector shown.
3. Find the area of the given parallelogram.
Hence find the value of $h$ .

4) A rectangle has a length of 2 yards and a width of 7 yards. Find the (a) perimeter and (b) area of the rectangle. $\begin{array}{ll} P=2 L+2 \omega & 18 \\ A=L \omega & 14 y d^{2} \end{array}$ $\square$

2) Calcular los lados $a, x y$ el ángulo del triángulo $A B D$ :

Given the triangle find the measure of angle $A$ using the Law of Cosines. Picture is not drawn to scale $A=$ $\square$ degrees
Give your answer accurate to at least one decimal place

The graph of a function $f$ is given. Use the graph to find each of the following. a. The numbers, if any, at which $f$ has a relative maximum. What are these relative maxima? b. The numbers, if any, at which fhas a relative minimum. What are these relative minima?

Graph the line that passes through the points $(-7,-9)$ and $(-7,-1)$ and determine the equation of the line.

Find the matrix $A$ of the rotation about the $x$ -axis through an angle of $\frac{\pi}{2}$ , counterclockwise as viewed from the positive $x$ -axis.

Find the equation of the tangent plane to the surface determined by $x^{4} y^{4}+z-45=0$ at $x=2, y=3$ . $z=$
Submit answer Next item

Give a vector parametric equation for the line through the point $(4,5,5)$ that is parallel to the line $\langle-2,-4-4 t, 5+5 t\rangle$ : $L(t)=$ $\square$ Preview Mv Answers Submit Answere

Suppose a line is given parametrically by the equation $L(t)=\langle 1-4 t, 4-3 t, 4-t\rangle$
Then the vector and point that were used to define this line were $\bar{v}=$ $\square$ , and $p=$ $\square$ $(1,4,4)$

For the right triangles below, find the exact values of the side lengths $b$ and $a$ . If necessary, write your responses in simplified radical form. $\begin{array}{l} b=\text { Пִ } \\ a=\square \end{array}$

Find the midpoint of points $A(-7,-7)$ and $B(-5,5)$ on line segment $\overline{AB}$ .

Find the coordinates of point $B$ if point $A$ is at $(-1,8)$ and midpoint $M$ is at $(3,5.5)$ .

Calculate the circumference and area of a circle with diameter $6 \mathrm{yd}$ using $\pi \approx 3.14$ . Include units.

Find the distance between the points $(-5,-5)$ and $(-9,-2)$ . Choose: (A) 5, (B) 7, (C) $\sqrt{12}$ , (D) $\sqrt{29}$ .