Geometry Cumulative Study Guide Test 22
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1 eometry umulative Study uide Test 22 Name: ate: Period: Numeric Response 1. person is standing 300 feet away from a building. The angle of elevation from the person to the roof of the building is 9. ind the height of the building to the nearest foot. 2. ind if. Round your answer to the nearest hundredth. 6. ind the volume, in cubic inches, of the frustum of the cone shown below. Round your answer to the nearest hundredth. 13 in. 3. ind the length of in the diagram below. Round your answer to the nearest hundredth. 13 in. in The two cylinders shown are similar. If the volume of the smaller cylinder is 108 cubic feet, what is the volume, in cubic feet, of the larger cylinder? 7. ind the perimeter of a regular pentagon that is inscribed in a circle with a radius of. Round your answer to the nearest hundredth. Problem 8. In the diagram below, find to the nearest tenth of a degree ft 3 ft The pole for a tent makes a 59 angle with the ground. If the load on the pole is 15 pounds, what are the vertical and horizontal loads? Round your answers to the nearest hundredth. 5. etermine the value of x in the diagram below. 10. Reflect the figure below across line c, and then reflect the image across line d. In the diagram,. 3 in. 9 in. c x d
2 11. rett is buying a rug for his living room. His living room is a rectangle with a length that is twice as long as its width. rett decides that the rug will also be a rectangle, but it will be only one half the length of the room and one half as wide. What will be the ratio of the rug s area to the living room s area? 12. ind the area of the annulus in the concentric circles shown below. 16. The vertices of are,, and. Use matrix multiplication to reflect across the x-axis. raw the preimage and image in a coordinate plane. 17. Rectangle EH s base is b, its height is h, and it has a perimeter of 8 units. etermine the area of the rectangle for,,, and. ased on these results, what conjecture can you make about maximizing the area of a rectangle with a fixed perimeter? cm 11 cm 18. The cube shown below has a side length of 3 units and vertex at (0, 0, 0). Identify the coordinates of the other vertices. 13. Suppose two numbers, a and b, are in the golden ratio to each other. If b is the smaller number and is equal to 8, what is a in simplified radical form? 1. Write a point matrix for shown below and use this point matrix to find the coordinates of the image after a dilation with a scale factor of 5. 2 O y 2 2 x 2 x E y z 19. In the diagram below, identify a great circle, a segment on the sphere, an angle, and a triangle. H 15. Use the diagram below to prove the first part of Theorem iven: Prove: 20. kitchen is 17 feet long and 10 feet wide. raw a scale representation of the floor of the kitchen using a scale of 1 cm : 3 ft. ive your answer to the nearest tenth.
3 metry umulative Study uide Test 22 wer Section ERI RESPONSE 1. NS: 35 RE: Lesson 73: pplying Trigonometry: ngles of Elevation and epression NT: NTM.1d TOP: umulative Test NS: 0.83 RE: Lesson 82: More pplications of Trigonometry NT: NTM.1d TOP: umulative Test NS: The vertical load is about pounds. The horizontal load is about 7.73 pounds. RE: Lesson 89: Vector ecomposition NT: NTM NO.3a TOP: umulative Test 22 eom_s09_ NS: eom_s08_00063 RE: Lesson 91: Introduction to Trigonometric Identities NT: NTM.1d TOP: umulative Test NS: 16.5 eom_s10_00039 RE: Lesson 9: Law of Sines NT: NTM.1d TOP: umulative Test 22 eom_s10_0001. NS: 500 RE: Lesson 99: Volume Ratios of Similar Solids NT: NTM.1b TOP: umulative Test NS: 6 RE: Lesson 101: etermining Lengths of Segments Intersecting ircles NT: NTM.1d TOP: umulative Test NS: RE: Lesson 103: rustums of ones and Pyramids NT: NTM M.2b TOP: umulative Test 22 eom_s11_ NS: LEM RE: Lesson 106: ircumscribed and Inscribed igures NT: NTM.1a TOP: umulative Test 22 eom_s10_0007 ' '' RE: Lesson 90: omposite Transformations NT: NTM.3a TOP: umulative Test NS: eom_s11_0003 The ratio of the rug s area to the living room s area will be 1:. RE: Lesson 96: Effects of hanging imensions on Perimeter and rea NT: NTM.1b TOP: umulative Test NS: The area of the annulus is square centimeters. RE: Lesson 97: oncentric ircles NT: NTM M.2b TOP: umulative eom_s11_00038 Test 22 eom_s10_ NS: ' '' c d 8. NS: Ratio NT: RE: Investigation 11: olden NTM.2b
4 TOP: umulative Test 22 eom_s11_ NS: 8 y E O 8 8 x RE: Lesson 102: ilations in the oordinate Plane NT: NTM.2b TOP: umulative Test NS: RE: Lesson 10: Relating rc Lengths and hords NT: NTM.1a TOP: umulative Test NS: ' 8 E' eom_s11_0006 RE: Lesson 105: Rotations and Reflections in the oordinate Plane NT: NTM.3a TOP: umulative Test NS: or, the area is 108 square units; for, 128 square units; for, 1 square units; and for, 128 square units. ased on these results, the conjecture can be made that for a given perimeter of a rectangle, a square has the greatest area. RE: Lesson 107: Maximizing rea NT: NTM M.2b TOP: umulative Test 22 eom_s11_ NS: eom_s11_0008 RE: Lesson 108: Introduction to oordinate Space NT: NTM.2a TOP: umulative Test NS: Sample: There are two great circles: great circle WX and great circle YZ. segment on the sphere is. n angle on the sphere is one formed by the intersection of the great circles WX and YZ. triangle is UVY. ' RE: Lesson 109: Non- Euclidean eometry NT: NTM.1a TOP: umulative Test NS:
5 Kitchen 3.3 cm 5.7 cm 1 cm : 3 ft RE: Lesson 110: Scale rawings and Maps NT: NTM.1b TOP: umulative Test 22 eom_s11_00056
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