Survey of Mathematics

ANSWERS A-29 SECTION 8.6, PAGE 525 1. Rubber 3. Klein 5. Jordan 7. Answers will vary. 9. Answers will vary. 11. Answers will vary. 13. Answers will vary. 15. Outside 17. Inside 19. Inside 21. 1 23. 0 25. 5 27. 3 29. Larger than 5 31. 4 33. a) Answers will vary. b) Answers will vary. c) Answers will vary. d) Answers will vary. 35. One 37. Two 39. a) No, it has an inside and an outside. b) Two c) Two d) Two strips, one inside the other 41. Answers will vary. 43. Answers will vary. SECTION 8.7, PAGE 533 1. Parallel 3. Two 5. Sphere 7. Geodesic 9. 11. 13. a) Start Step 1 Step 2 b) Infinite c) Finite 15. Each type of geometry can be used in its own frame of reference. 17. Coastlines, trees, mountains, galaxies, rivers, weather patterns, brains, lungs, blood supply REVIEW EXERCISES, PAGE 536 1. CBF or FBC 2. BC 3. ΔBFC 4. gBH 5. F{ } 6. {} 7. ° 62.4 8. ° 79.5 9. 10.2 in. 10. 2 in. 11. ° 58 12. ° 92 13. = = = = m m m m 1 43°, 2 106°, 3 74°, 4 63°, = = m m 5 117°, 6 63° 14. ° 1080 15. a) 99 mi2 b) 40 mi 16. a) 36 m2 b) 28 m 17. a) 84 in.2 b) 42 in. 18. a) 6 km2 b) 12 km 19. a) 153.94 ft2 b) 43.98 ft 20. 64.38 m2 21. 79.73 yd2 22. $2184 23. a) 165 cm3 b) 206 cm2 24. a) 254.47 ft3 b) 226.19 ft2 25. a) 603.19 mm3 b) 435.20 mm2 26. a) 523.60 yd3 b) 314.16 yd2 27. 432 m3 28. 28 ft3 29. 75.40 cm3 30. 1257.16 in.3 This figure contains the answers for Exercises 39 and 40. A9 A B D C A9 D9 C9 B9 B9 C9 D9 40. 39. m l 41. a) A9 C9 B9 l b) Yes c) Yes 43. a) A9 C9 D9 B9 l b) No c) No 45. a) P A9 C9 D9 B9 b) No c) No d) D0 A0 C0 B0 P e) Yes f) Yes 47. a) a)–c) m P F E C D J I K L B A G H l d) No. Any ° 90 rotation will result in the figure being in a different position than the starting position. 49. Answers will vary. 51. A regular octagon cannot be used as a tessellating shape. 53. Although answers will vary depending on the font, the following capital letters have reflective symmetry about a horizontal line drawn through the center of the letter: B, C, D, E, H, I, K, O, X. 54. Although answers will vary depending on the font, the following capital letters have reflective symmetry about a vertical line drawn through the center of the letter: A, H, I, M, O, T, U, V, W, X, Y. 55. Although answers will vary depending on the font, the following capital letters have ° 180 rotational symmetry about a point in the center of the letter: H, I, N, O, S, X, Z.

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