Pre-Calculus Homework Solutions 197

# Pre-Calculus Homework Solutions 197 - 57 47 C x2 x2 36 ¬(9...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 57. 47. C; x2 x2 36 ¬(9 x)2 36 ¬81 18x x2 36 ¬81 18x 45 ¬ 18x 2.5 ¬x 48. 3-4-5, 6-8-10, 12-16-20, 24-32-40, 27-36-45 49. 3 4 5 60 6 8 10 480 8 60 12 16 20 3840 64 60 24 32 40 30,720 512 60 27 36 45 43,740 729 60 Yes, the conjecture holds true. x 1 3 3x 3 27 27 7.6 1012 The sequence of numbers approaches positive infinity. 58. x 4 2 1.41... 1.18... 1.09... 1.04... 1 2 1.41... 1.18... 1.09... 1.04... 1.02... x2 The sequence of numbers converges to 1. 59. x 4 0.25 4 0.25 1 x 0.25 4 0.25 4 Page 356 Maintain Your Skills The sequence of numbers alternates between 0.25 and 4. 60. No; 12 13 25, so the sides do not satisfy the Triangle Inequality. 50. Let x represent the geometric mean. 61. 7 3 x 3 62. 18 2 14 63. 2 x ¬ 12 x2 ¬36 x ¬ 36 or 6 51. Let x represent 9 x x ¬ 12 2 x ¬108 x ¬ 108 or 6 x ¬10.4 52. Let x represent 11 x ¬7 x x2 ¬77 x ¬ 77 x ¬8.8 53. Let x represent 6 x x ¬9 x2 ¬54 x ¬ 54 or 3 x ¬7.3 54. Let x represent 2 x x ¬7 x2 ¬14 x ¬ 14 x ¬3.7 55. Let x represent 2 x x ¬5 x2 ¬10 x ¬ 10 x ¬3.2 56. x 5 2x 10 the geometric mean. 73 3 3 3 2 2 2 2 18 2 2 92 28 2 27 2 64. 3 11 3 3 3 3 65. 24 the geometric mean. 2 12 66. 3 26 67. 3 2 2 3 3 3 3 the geometric mean. 68. 15 3 69. 2 6 8 3 3 8 8 7 3 33 3 33 24 2 2 12 2 12 3 3 43 2 18 3 62 3 22 15 3 3 28 8 42 8 the geometric mean. 70. 25 10 the geometric mean. 7-3 10 10 53 25 10 10 2 2 5 10 2 Special Right Triangles Page 360 Check for Understanding 10 2.51... 2.51... 2.24... 2.11... 2.24... 2.11... 1. Sample answer: Construct two perpendicular lines. Use a ruler to measure 3 cm from the point of intersection on one ray. Use the compass to copy the 3 cm segment. Connect the two endpoints to form a 45°-45°-90° triangle with sides of 3 cm and a hypotenuse of 3 2 cm. 2.05... The sequence of numbers converges to 2. 199 Chapter 7 ...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online