2D Geometry Questions and Answers

man 2 meters tall walks at a rate of 1 5 meters per second away from a light that is 5 meters above the ground see figure a When he is 3 meters from the base of the light at what rate is the tip of his shadow moving m sec b When he is 3 meters from the base of the light at what rate is the length of his shadow changing Im sec

K For the polynomial function f x x x 3 x 4 answer parts a through e a Use the Leading Coefficient Test to determine the graph s end behavior OA The graph of f x rises to the left and falls to the right OB The graph of f x falls to the left and falls to the right OC The graph of f x rises to the left and rises to the right OD The graph of f x falls to the left and rises to the right b Find the x intercept s The x intercept s is are Type an integer or a decimal Use a comma to separate answers as needed At which zero s does the graph of the function cross the x axis Select the correct choice m

y r 4r 3 to 8 7 6 5 4 3 2 Clear All Draw Vertex 345 2 8 8 9 6 5 6 7 9 10 ANVO 6 7 8 9 1

Question 4 Sketch the graph of the function f x 2 3 3 4 3 2 1 4 3 2 1 2 1 2 3 4 5

Question 7 Identify the operation that will trans g x 2 4 O g x is obtained by reflecting f x in th

x Asolid cylindrical steel rod has a bas

1x The area of each book is 63 in The height of the stack is 15 75 inches What is the vo

x A 5 Consider a block of cheese cut in the shape of a triangular prism The front and back faces are isosceles

x What is the volume of the square pyramid shown if the base has a side length of 8 and A 576

30 300 feet Hailey is scuba diving in the ocean Her boat is anchored 300 feet away at a 30 angle of depr diving partner from the boat round to nearest whole number

x Which of these is equal to sin 70

Find the volume of the oblique figure where h 12 and r 4 A 16T

A cylinder has a base area of 28 2 m and a height of 3 1 m Estimate the volume of the cylinder 4x A Ex B 31 m 31 m R

x 1 7 in T 6 in What is the volume of a right rectangular prism with a base that measures 4 in by 6 in and a height of 7 in

Which statement is ALWAYS tr and The sine of an ar

4x Trigonometric Ratios in Applied Problems 5 feet

What reason explains why the m Q 115 A B C D E P 1650 opposite angles of a parallelogram are congruent opposite sides of a parallelogram are congruent diagonals of a parallelogram bisect each other consecutive angles of a parallelogram are congruent consecutive angles of a parallelogram are supplementary S Y

The quadrilateral shown is a rhombus If BC 41 and BE 40 what is th x A 15 D B 9

x The quadrilateral shown is a rectangle What is the measured A 43 36

1x AB 2x 20 AD 3x 23 BC 3 x CD 4x 30 A D Quadrilateral ABCD is a parallelogram if one pair of opposite sides is both equal and parallel Pr

When solving the following trigonometric equation 4sin x 1 cOS X we need to find a way to have only on instead of two different in the equation To do this we can identity to obtain a has the form a cos x b cos x c 0 both sides and then use the The coefficients are a b C equation that

The tangent plane to the graph at the point where z y 2 2 write the appropriate function of has the equation z and y 3 f x y In 2x 3

Aladder 30 feet long leans against the side of a building and the angle between the ladder and the building is 22 a Approximate the distance in ft from the bottom of the ladder to the building Round your answer to two decimal places ft b If the distance from the bottom of the ladder to the building is increased by 2 0 feet approximately how far in ft does the top of the ladder move down the building Round your answ decimal places

Plot the point 4 75 3 25 in the rectangular coordinate system Plot 4 75 3 25

Plot the point 4 321 Plot ot 4 32 Question 2 7 1 15 in the rectangular coordinate system

8 What is the equation for the following sin graph 9 What is the equation for the following cos graph 1 8 11 4 7 8 3 4 1 2 31 8 m4 n 511 8 W 31 8 11 2 m 8 3 4 71 11 91

O 128 3 O O 303 64 a or nade region y 2x y x 4

Graph the function y 4 x 3 2 5 Anchor points Transform 1 Transform 2 Transform 3

A balloonist is directly above a straight road 1 4 miles long that joins two towns She finds that the town closer to her is at an angle of depression of 36 and the farther town is at an angle of depression of 31 How high above the ground is the balloon O The balloonist is about 0 59 miles above the ground The balloonist is about 0 71 miles above the ground The balloonist is about 0 66 miles above the ground The balloonist is about 0 46 miles above the ground 1 4 mi Not to sca 310

a Find equations for the family of parabolas with the given description The family of parabolas with vertex at the origin and with directrixes y y 1 y 4 and y 8 Directrix No y 2 1 2 y 1 y 4 y 8 b Draw the graphs 10 9 8 7 6 5 4 Equation 3 2 1 10 9 8 7 6 5 4 3 2 1 1 2 1 2 3 4 5 6 7 8 9 10 Fill Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties

shown below M 10 22 9 6 2 4 H d nd 6 o Leave your answer in exact form if necessary type pi for graph

A tour guide is planning a ski trip The equation C 460 26g models the relation between the cost in dollars C of the ski trip and the number of skiers g The slope tells us O If no skiers show up the ski trip costs 460 O For every additional skier the ski trip costs an additional 26 O For every additional skier the ski trip costs an additional 460 O If no skiers show up the ski trip costs 26

Graph y 34 x 3 6 5 4 3 2 1 Clear All Draw 6 5 4 32 1 1 2 3 4 5 6 1 2 3 4 5 6

Question 9 Multiple Choice Worth 1 points 03 02 MC Which of the following statements is true only if triangle E a H

Question 1 Multiple Choice Worth 1 points 03 02 MC Triangle A B C is formed by a reflection over x 3 and dilation by a scale facto A m B

Question 3 Multiple Choice Worth 1 points 03 02 MC 1 3 AEFI is dilated by a scale factor of true with the center of dilation at point F Then it is reflect E H

Circle O has a radius of 7 inches What is the approximate area of the sector subtended by a central angle measuring 9m A 12 4 in B 43 3 in radians 77 7 in 87 1 in

Given m n find the value of x 62 9x 19 1 m n

The measures of the exterior angles of an octagon are x 2x 3x 4x 5x 6x 9x and 10x Solve for x

If the cylinders below are similar what is the radius of the larger cylinder to the the radius o the smaller cylinder SA 116 mm SA 29 mm

If the prisms below are similar what is the ratio of the height of the smaller prism to the height of the larger prism V 15 cm V 405 cm

The plane z y 2z 10 intersects the paraboloid z y in an ellipse Find the points on this ellipse that are nearest to and farthest from the origin Point farthest away occurs at Point nearest occurs at

0 1 point I have a full cylinder paint can that I am going to pour my paint into my cone painting bucket Dimensions are below 3 6 inches 7 8 inches 2 5 inches 4 inches After I finish pouting the paint from the cylinder to the cone approximately how much paint will be left in the cylinder 274in 238in 286in 291in

The radius of an official NBA basketball is 4 7 inches Approximately how much air in cubic inches would be needed to completely inflate the ba 184 4 in 3 138 47 in 97 4 in 168 AT in

The pyramid shown below has a volume of 1456m 8m 21m What is the height of the pyramid 20m 36m 26m O 24m O 31m

Part 1 of Find the measures of the angles lab

Figure STARFIND is symmetric with respect to the x axis The coordinates of point A are 8 6 What are the coordinates of point N S T D A N R F x

Which line of reflection maps point Kat 2 2 to K at 2 2 y 2 y x x axis y axis

In rectangle ABCD the slope of AB is What is the slope of CD 3 3 13 1 3

Two sides of a triangle measure 14 inches and 8 inches Which cannot be the length of the remaining side 6 in 8 in 14 in 21 in