Pre-Calculus Homework Solutions 233

Pre-Calculus Homework Solutions 233 - sin B b¬ sin B 5.2...

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Unformatted text preview: sin B b¬ sin B 5.2 ¬ 40. sin C c sin 53° 6.7 6.7sin B¬ 5.2sin 53° 6.7 sin 1 5.2si.n 53° 67 B¬ B¬ 38° m B m C¬ m A 38 53¬ m A¬ sin A sin B a¬ b sin 89° a¬ 5.2sin89°¬ 5.2 sin 89° sin 38° ¬ 8.4¬ 19 x 19 2 19 2 2 2 19 2 2 5.2sin53° sinB¬ mA 10. x y x x x y 180 180 89 19 2 2 11. This is a 30°-60°-90° triangle with hypotenuse of length 12, shorter leg with length of y and longer leg with length of x. 12 2y 6y x y3 x 63 12. x2 82 162 x2 64 256 x2 192 x 192 x 83 sin 38° 5.2 a sin38° a a Chapter 7 Practice Test sin y° 8 16 y y sin 30 Page 397 c2 a2 b2 1. 2ab cos C 2. Yes; two perfect squares can be written as a a and b b. Multiplied together, we have a a b b. Taking the square root, we have ab, which is rational. 3. Sample answer: 2, 2 3, 4 4. Let x represent the geometric mean. 7 x x 24 x2 144 x 144 or 12 6. Let x represent the geometric mean. x 7. x2 x2 8. g sin59°¬ 13sin71° g¬ g¬ 13 sin 71° sin 59° x 50 x2 72 49 500 500 or 10 5 2¬ 5 62 25¬ 36 x2¬ 11 x¬ 11 x¬ 3.32 132¬ x2 169¬ x2 218¬ x2 218¬ x 14.8¬ x 12 2 2¬ 9. x2 x2 36¬ x2¬ x¬ x¬ x¬ 8 16 BC AB 15 5 21 7 BC 14. tan A AC 15 16 BC 15. sin A AB 15 5 21 7 sin F sin G 16. f¬ g sin 59° sin 71° g 13 ¬ x2 441 x 441 or 21 5. Let x represent the geometric mean. 10 x 1 13. cos B x 63 6 x 2 14.3 sin F f¬ sin 52° 10 17. ¬ sin H h n ¬ si2.H 15 12.5sin52° sin 18. f 2¬ f 2¬ f 2¬ f¬ f¬ 19. h2¬ h2¬ h2¬ h¬ h¬ 92 81 45 45 35 6.7 235 1 ¬10sin H 12.5 sin52° 10 12.5 sin52° 10 ¬sin H ¬H 80.1° ¬H g2 h2 2gh cos F 152 132 2(15)(13)cos48° 394 390cos48° 394 390cos 48° 11.5 f2 g2 2fg cos H 13.72 16.82 2(13.7)(16.8)cos71° 469.93 460.32cos71° 469.93 460.32cos 71° 17.9 Chapter 7 ...
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