Page 786 - Basic College Mathematics with Early Integers

A18 ANSWERS TO SELECTED EXERCISES

Chapter 9 Vocabulary Check 1. right triangle; hypotenuse; legs 2. line segment 3. complementary 4. line 5. perimeter 6. angle; vertex
7. Congruent 8. Area 9. ray 10. square 11. transversal 12. straight 13. volume 14. vertical 15. adjacent 16. obtuse 17. right
18. acute 19. supplementary 20. Similar
Chapter 9 Review 1. right 2. straight 3. acute 4. obtuse 5. 65° 6. 75° 7. 58° 8. 98° 9. 90° 10. 25° 11. ∠a and ∠b; ∠b and ∠c;
∠c and ∠d; ∠d and ∠a 12. ∠x and ∠w; ∠y and ∠z 13. m∠x = 100°; m∠y = 80°; m∠z = 80° 14. m∠x = 155°; m∠y = 155°; m∠z = 25°
Answers to Selected Exercises
1
15. m∠x = 53°; m∠y = 53°; m∠z = 127° 16. m∠x = 42°; m∠y = 42°; m∠z = 138° 17. 103° 18. 60° 19. 60° 20. 65° 21. 4 m 22. 7 ft
5
1
23. 9.5 m 24. 15 cm 25. cube 26. cylinder 27. pyramid 28. rectangular solid 29. 18 in. 30. 2.35 m 31. pentagon 32. hexagon
5
33. equilateral 34. isosceles, right 35. 89 m 36. 30.6 cm 37. 36 m 38. 90 ft 39. 32 ft 40. 440 ft 41. 5.338 in. 42. 31.4 yd 43. 240 sq ft
44. 140 sq m 45. 600 sq cm 46. 189 sq yd 47. 49p sq ft L 153.86 sq ft 48. 82.81 sq m 49. 1248 sq cm 50. 144 sq m 51. 432 sq ft
5 1
52. 130 sq ft 53. V = 15 cu in. ; SA = 37 sq in. 54. V = 84cu ft ; SA = 136sq ft 55. V = 20,000p cu cm L 62,800cu cm
8 2
1 11 2 1 1 1 1
56. V = p cu km L cu km 57. 2 cu ft 58. 307.72 cu in. 59. 7 cu ft 60. 0.5p cu ft or p cu ft 61. 37 62. 13 63. 17.4 64. 12
6 21 3 2 2 2 3
5 1
65. 33 ft 66. x = in.; y = 2 in. 67. 108° 68. 89° 69. 82° 70. 78° 71. 95° 72. 57° 73. 13 m 74. 12.6 cm 75. 22 dm 76. 27.3 in.
6 6
1 1
77. 194 ft 78. 1624 sq m 79. 9p sq m L 28.26 sq m 80. 346 cu in. 81. 140 cubic in. 82. 1260 cu ft 83. 28.728 cu ft 84. 6
2 2
Chapter 9 Test 1. 12° 2. 56° 3. 57° 4. m∠x = 118°; m∠y = 62°; m∠z = 118° 5. m∠x = 73°; m∠y = 73°; m∠z = 73° 6. 6.2 m
1
7. 10 in. 8. 26° 9. circumference = 18p in. L 56.52 in.; area = 81p sq in. L 254.34 sq in. 10. perimeter = 24.6 yd; area = 37.1 sq yd
4
6
11. perimeter = 68 in.; area = 185 sq in. 12. 62 cu in. 13. V = 30cu ft ; SA = 62sq ft 14. 16 in. 15. 18 cu ft 16. 62 ft; $115.94
7
17. 198.08 oz 18. 7.5 19. 69 ft
53
Cumulative Review 1. negative five and eighty-two hundredths; Sec. 4.1, Ex. 1b 2. ; Sec. 3.5 3. 736.2; Sec. 4.1, Ex. 15 4. 700; Sec. 4.1
66
9 7 1
5. 47.06; Sec. 4.2, Ex. 3 6. -1 ; Sec. 3.7 7. 76.8; Sec. 4.3, Ex. 5 8. ; Sec. 3.3 9. -76,300 ; Sec. 4.3, Ex. 7 10. 11 ; Sec. 3.7
11 66 2
3
11. 38.6; Sec. 4.4, Ex. 1 12. 0.567; Sec. 4.4 13. -3.7 ; Sec. 4.5, Ex. 12 14. or 0.6; Sec. 4.5 15. 7 ; Sec. 4.5, Ex. 8 16. 6 ; Sec. 4.5
5
26 16 35 1
17. ; Sec. 5.1, Ex. 3 18. ; Sec. 3.5 19. yes; Sec. 5.2, Ex. 2 20. or 17 ; Sec. 5.2 21. 25%; Sec. 6.1, Ex. 1 22. 10; Sec. 8.3
31 45 2 2
19 13 5 1 28 3
23. ; Sec. 6.1, Ex. 9 24. ; Sec. 6.1 25. or 1 ; Sec. 6.1, Ex. 10 26. or 5 ; Sec. 6.1 27. 255; Sec. 6.2, Ex. 8 28. 15%; Sec. 6.2 or 6.3
1000 50 4 4 5 5
29. 52; Sec. 6.3, Ex. 9 30. 9; Sec. 1.9 31. 775 freshmen; Sec. 6.4, Ex. 3 32. $2.25/sq ft; Sec. 5.1 33. $3210; Sec. 6.5, Ex. 3 34. 35 exercises; Sec. 5.3
35. 96 in.; Sec. 5.4, Ex. 1 36. 2 yd 2 ft 4 in.; Sec. 5.4 37. 3200 g; Sec. 5.5, Ex. 7 38. 0.07 m; Sec. 5.4 39. 3 gal 3 qt; Sec. 5.6, Ex. 3 40. 70,052; Sec. 1.2
2 3
41. 50°; Sec. 9.2, Ex. 1 42. 33 m; Sec. 9.3 43. 28 in.; Sec. 9.3, Ex. 1 44. -4 ; Sec. 8.4 45. ; Sec. 4.6, Ex. 3 46. ; Sec. 4.6
5 4
Appendix A Tables
A1: One Hundred Addition Facts 1. 5 3. 5 5. 12 7. 8 9. 14 11. 12 13. 10 15. 9 17. 11 19. 18 21. 10 23. 10 25. 17 27. 13
29. 12 31. 16 33. 7 35. 4 37. 8 39. 8 41. 6 43. 16 45. 9 47. 12 49. 7 51. 2 53. 11 55. 8 57. 5 59. 14 61. 13 63. 7
65. 7 67. 13 69. 5 71. 4 73. 16 75. 14 77. 1 79. 4 81. 10 83. 8 85. 5 87. 10 89. 11 91. 12 93. 9 95. 9 97. 14 99. 9
A2: One Hundred Multiplication Facts 1. 1 3. 56 5. 32 7. 28 9. 4 11. 63 13. 6 15. 30 17. 24 19. 18 21. 40 23. 32 25. 54
27. 56 29. 54 31. 2 33. 36 35. 12 37. 36 39. 12 41. 48 43. 8 45. 0 47. 27 49. 15 51. 45 53. 0 55. 81 57. 0 59. 0 61. 18
63. 3 65. 36 67. 63 69. 35 71. 42 73. 40 75. 0 77. 9 79. 15 81. 5 83. 0 85. 21 87. 0 89. 16 91. 0 93. 4 95. 6 97. 18 99. 0

Appendix B Exponents and Polynomials
2
2
2
4
2
Exercise Set Appendix B.1 1. -5x - 24 3. -9z - 2z + 6 5. 9y + 25y - 40 7. -4.3a - 2a + 9 9. 4a - 8 11. -2x + 4x + 1
2
2
2
3
13. -20y + 12y - 4 15. -x + 16 17. 8y - 10y - 8 19. 5x - 12 21. y - 4 23. 4x + x - 16 25. 9x - 4.1 27. 15a - 7
9
2
3
2
2
29. -15y + 3.6 31. 19t - 11t + 3 33. b - b + 7b - 1 35. -5x - 11x + 13 37. 39. 1 41. -5 43. -8 45. 20 47. 25
7
49. 50 51. 576 ft 53. $3200 55. 909 ft 57. 18x + 22 in. 59. 14x - 152 units 61. 20; 6; 2 63. 7.2752 65. 29 ft; -243 ft; answers may vary
6 4
5 6
Exercise Set Appendix B.2 1. x 14 3. a 7 5. 15z 5 7. -40x 2 9. 25x y 11. 28a b 13. 42x 3 15. 12a 17 17. x 15 19. z 20 21. b 62 23. 81a 4
33 24
4 5
45 30
6 12
9 13
12
25. a b 27. 121x y 29. -24y 22 31. 256x y 33. 16x sq in. 35. 12a b sq m 37. 18,003,384a b 39. 34,867.84401x 50
86
41. answers may vary 43. a 127 b c 25 Copyright 2012 Pearson Education, Inc.
3
2
4
2
3
3
2
Exercise Set Appendix B.3 1. 27x - 9x 3. -20a + 30a - 5a 5. 42x - 35x + 49x 2 7. x + 13x + 30 9. 2x + 2x - 24
2
2
3
3
5
2
3
2
4
11. 36a + 48a + 16 13. a - 33a + 18 15. 8x + 2x - 55x + 50 17. x + 4x + 6x + 7x + 2x 19. -30r + 20r