Geometry Questions

scribe the solid of revolution you get by revolving the region below about line L ect one a The solid of revolution is a cone b The solid of revolution is a circle c The solid of revolution is a sphere Od The solid of revolution is a cylinder Check escribe the solid of revolution you get by revolving the region below about line L ect one a The solid of revolution is a sphere b The solid of revolution is a pyramid c The solid of revolution is a cylinder

Find the degree measure of the angle with the given radi 1 7

problem 6 10 Express your answer in terms of pi and as a decimal rounded to the nearest tenth 6 3 yd 7 A circle with a radius of 5 feet 8 20 m 9 A circle with a diameter of 22 yards

circle Express your answer in terms of pi and as a decimal rounded to the nearest tenth 1 2 11 ft 9 mi 3 Circle X with a radius of 4 mm 8 yd

35 Which transformation is occurring between the preimage and the image H G E H 6 G Otranslating left and up O translating right and down O reflecting over the line y x O rotating around the origin

29 27 Find the values of a and b A a 9 b 9 2 B a 18 b 9 3 C a 9 3 b 18 D a 3 3 b 6 3 E a 9 2 b 18 O A OB O C O D b a

34 If the measure of the central angle theta is 62 degrees what is the measure of arc AB i 31 62 124 360 25 Whisk

31 30 Using the graph to the right what is the equation of the circle A x 5 5 16 B x 5 2 5 16 C x 5 2 5 4 D x 5 2 y 5 4 O A O B O C 131

30 29 Identify the coordinates of the point P 8 4 after a rotation of 90 counterclockwise around the origin A 4 8 B 8 4 C 4 8 D 8 4 O A OB O C O D

33 Find the AREA of the circle Use 3 14 for pi O 15 7 O 31 4 O 78 5 O88 3 7 5

32 Find the circumference of the circle Use 3 14 for pi O 15 7 O 31 4 78 5 O88 3 P 5

28 26 Find the value of xif mAB 38 and mCD 68 not drawn to scale A 15 B 53 C 106 D 127 O A OB O C O D A B 18 C

25 Which two transformations were performed to obtain A B in the diagram A Reflect over the line x 1 then translate 6 0 B Reflect over the line y 1 then translate 0 6 C Reflect over the line x 1 then translate 0 6 D Reflect over the line y 1 then translate 6 0 O A B D F B A

22 21 The inside of an ice cream cone is filled with ice cream and has a radius 6 cm and a height of 12 cm Assuming that a half scoop of ice cream is in the shape of a hemisphere and that it fits perfectly on top of the cone same radius find the total volume of ice cream Round your answer to the nearest tenth A 881 0 cm B 904 8 cm C 1357 2 cm D 1809 6 cm O A OB O D 23 12 6 cm

26 Solve for x in the right triangle below 12 O 12 O 10 O 18 4 O 25 1 22

23 22 Given mDE 117 and mBC 77 find mZA A 20 B 30 C 40 D 97 O A OB O C

25 24 Find the volume of the pentagonal prism round to the nearest cubic meter A 110 m B 403 m C 660 m D 1210 m O A C D 11 m 8 m 5 5 m

21 Find the area of the pentagon 3 06 O 15 O 30 O 60 2

Choose the graph of the inequality Click on y x 2

14 What is the total sum of the interior angles of a pentagon O 540 O 180 O 720 O 5

19 Find the value of x to O 51 4 degrees O 72 degrees O 120 degrees O 128 6 degrees O 147 3 degrees

12 14 If mZROT 52 what is the mZRST A 26 B 52 C 104 D 156 O A OB O C OD 13 Find the volume of the cylinder

17 Find the volume of the pyramid Find the Vom of the square pyramid with a slant height of 13 cm base lengths of 10 cm and a height of 12cm A 340 sq cm B 360 sq cm C 400 sq cm D 1200 sq cm O A OB E

13 Find the volume of the cylinder 7 mm 0 8 mm O O 112 square mm O 351 68 square mm O 1 230 88 square mm 56 square mm

15 18 The world s largest circular pizza had a circumference of 383 3 ft What was the total area that the pizza covered A 11 689 9 ft B 12 741 3 ft C 46 759 5 ft D 461 559 3 ft O A B C D

11 What is the new coordinate for Point T after it is reflected over the x axis O 2 4 O 2 4 O 2 0 O 2 4 T

10 What is the line of reflection for triangle ABC 3 machac O y axis O x axis O y x O y x B 4 V B 4 C 3 15 A

6 Hint the slant height is 9 4 9 Find the surface area of the solid to the right A 148 2 in B 204 2 in2 C 209 4 in D 226 7 in2 O A O B O C OD 7 8 in Sin

9 12 The surface area of a basketball is 277 in What is the radius of the basketball to the nearest tenth of an inch O A OB O C O D A 4 7 in B 9 4 in C 22 0 in D 88 2 in 10 What in the lin

8 Find the value of x 9 50 6 89 O 9 O 5 79 O 10 73 X 9

8 From the observation deck of a lighthouse 70 meters above sea level the lighthouse keeper can see a fishing boat The angle of elevation from the boat to the lighthouse is 25 What is the horizontal distance to the nearest meter from the base of the lighthouse to the fishing boat A 32 m B 77 m C 150 m D 165 m 70 m 6 Hint the slant height is 9 4 01 Find the surface area of the solid to the right x 25

1 Point A which is located at 4 3 is translated 4 units to the left What are the coordinates of point A A 0 3 B 8 3 C 4 7 D 4 1 A Question OB O C O D

nd the length of WC Name Hailey Paz M

Evaluate the line integral L x y dx x y dy over the given curves C where A C is the arc of the parabola y x2 from 0 0 to 2 4 3 C is the segment of the line y 2x from 0 x 2

a Sketch a horizontal cross section b Sketch a vertical cross section that contains the vertical line of symmetry a Choose the correct answer below A B II

Describe the cross section of the figure to the right Choose the correct answer below OA The cross section is a triangle OB The cross section is a rectangle OC The cross section is a line OD The cross section is a circle GEW

tersects the front and right faces of the cube on described above Choose the correct answer below OB O C

Verify Euler s Formula for the polyhedron to the right Then draw a net for the figure and verify Euler s Formula for the two dimensional figure Verify Euler s Formula for the polyhedron Choose the correct answer below OA 6 6 10 2 12 12 OB 7 5 10 2 12 12 O c 8 5 11 2 13 13 OD 8 6 12 2 14 14

How many vertices faces and edges are in the polyhedron to the right List them How many vertices in the polyhedron List them A There are eight vertices Q B C D M V W and H B There are eight vertices H W V M I D C and B OC There are seven vertices W Q B H C M and V D There are seven vertices M Q D C W H and B G Q M B 1 1 1

The graph of the total profit P x in dollars from the sale of x cordless electric screwdrivers is shown to the right A Write a brief verbal description of the graph of the marginal profit function y P x including a discussion of any x intercepts B Sketch a possible graph of y P x 25 000 OA 300 45 000 1800 17 A On what interval s is the marginal profit function P x positive Select the correct choice below and if necessary fill in the answer to complete your choice Type your answer using interval notation Use a comma to separate answers as needed

For the pair of similar figures find the ratio of the area of the first figure to the area of the sec Input answer as first second D 12 cm 9 cm Time left 0 58

Factor the trinomial below x2 5x 24 OA x 3 x 8 OB x 6 x 4 OC x 4 x 6 OD x 8 x 3

Find the area of the shaded region to the nearest tenth 6m 4m

What is the area of the figure below 3 5 cm Select one a 56 cm b 28 cm c 40 cm d 20 cm 4 cm

What is the area of the figure below 12 ft C 4 5 ft 16 ft Select one a 40 5 ft b 63 ft c 81 ft d 126 ft

5 m v Find an equation for the graph above 4 3 2 1 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 1 234 5 1 2 3 4 5 6 7 8 9 10 p

A patient is admitted to the hospital with severe burns covering their arms legs and chest The nurse needs to calculate the total surface area of the burns to determine the appropriate medication dosage If the patient s right arm is burned and measures 10 inches in length and 6 inches in circumference what is the total surface area of the burn in square inches

45 Answer Check 60 3 Find the area of the shaded sector of the circle Round your answer to the nearest tenth 5

3 Answer Check Find the area of the shaded segment Round your answer to the nearest tenth 8 60

Find the area of OO Round your answer to the nearest tenth Answer Check Find the area of AAOB Round your answer to the nearest tenth Answer I Check