49. -12 - E4 - C1 - (6 - 119 - 10)DF 50. -10 - E7 - C2 - (3 - 129 - 13)DF Solve the problem by fi rst writing a mathematical expression that represents the situation. (See Objective 3.) 51. The lowest recorded temperature in Vermont was -46oC at the Bloomfield weather station on December 30, 1933. The highest recorded temperature was 41oC at the Vernon weather station on July 4, 1911. What is the difference between the highest and lowest temperatures? 52. The lowest recorded temperature in Alabama was –33oC at the New Market weather station on January 30, 1966. The highest recorded temperature was 44oC at the Centerville weather station on Sept. 5, 1925. What is the difference between the highest and lowest temperatures? 53. The highest point on the North American continent is the peak of Mount McKinley. The peak is 20,320 ft above sea level. The lowest point on land in Syria is near Lake Tiberias with an elevation of 656.2 ft below sea level. What is the difference between these altitudes? 54. The highest point on the Antarctica continent is the peak of Vinson Massif. The peak is 4897 meters above sea level. The lowest point on land in Russia is the Caspian Sea shoreline 28 m below sea level. What is the difference between these altitudes? 55. The table shows the annual net income, in thousands, for AirTran Airways for 2005–2009. Find the change in net income for each year. (Source: http://investor.airtran.com, 2009 Annual Report) Year Net Income Change in Net Income 2005 $ 9,320 n ∕a 2006 $ 14,494 2007 $ 50,545 2008 -$266,334 2009 $134,662 56. The operating profit of General Motors (GM) Corporation was $10,705 million in December 2005. By March 2006, the operating profit decreased by $5904 million. I In J June 2006 2006, th the operating profit decreased another $4990 million. By September 2006, the operating profit increased by $5583 million. What was the operating profit of GM in September 2006? (Source: CNNMoney.com) Find the measure of the unknown angle of the given triangle. b a c 57. a = 74°, b = 38° 58. b = 114°, c = 21° 59. a = 23°, b = 97° 60. b = 61°, c = 53° 61. Find the complement and the supplement of an angle whose measure is 52°. 62. Find the complement and the supplement of an angle whose measure is 26°. 63. Find the complement and the supplement of an angle whose measure is 73°. 64. Find the complement and the supplement of an angle whose measure is 34°. Mix ’Em Up! Perform the indicated operation and simplify. 65. (-3.6) - 5.1 66. (-5.78) - 7.15 67. - 5 13 - 1 2 68. - 9 14 + 1 2 69. 14 - 8 + (-5) - (-7) 70. 22 + (-5) - (-10) -1 71. -4 - a- 5 4 b 72. 3 2 3 - a-6 1 2 b 73. -22 + 11 - u-8 - (-4)u 74. -32 - 16 - u-8 - (-2)u 75. 4.5 - (-1.8) + 3.2 - 0.1 76. 2.9 + (-1.1) - 3.6 - 0.5 77. 18 - E10 - C4 - (7 - 130 - 5)DF 78. 20 - E6 - C5 - (1 - 120 - 4)DF 79. -2.6 - (-1.2) - 2.7 80. 9.5 - 2.9 + (-0.1) 81. - 5 6 + 1 2 - a- 2 3 b 82. 5 7 + a- 3 4 b - a- 9 14 b 83. (-1.5)2 - (-4.5) - u3.2 - 7.2u 84. (-2.5)2 + (-6.4) - u5.7 - 11.7u 85. 1 - 18 - (-10) - 34 86. -6 - (-17) - 1 Write an expression needed to solve each problem and then answer the question. 87. The northernmost city in the United States is Barrow, Alaska. The southernmost city in the Continental United States is Key West, Florida. The coldest recorded temperature in Barrow, Alaska, is -47ºF. 56 Chapter 1 Real Numbers and Algebraic Expressions
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