Solve the problem.A pendulum bob swings through an arc 80 inches long on its first swing. Each swing thereafter, it swings only 75% as far as on the previous swing. What is the length of the arc after 12 swings? Round to two decimal places.

A. 660.00 inches
B. 2.53 inches
C. 3.38 inches
D. 1.90 inches


Answer: C

Mathematics

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Solve the right triangle shown in the figure. Round lengths to one decimal place and express angles to the nearest tenth of a degree. a = 2.1 in, A = 52.7°

A. b = 1.6 in, B = 37.3°, c = 2.6 in B. b = 3.0 in, B = 37.3°, c = 2.6 in C. b = 0.5 in, B = 37.3°, c = 2.2 in D. b = 3.0 in, B = 37.3°, c = 3.7 in

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Solve the problem.Two cars start from the same point and travel in the same direction. If one car is traveling 59 miles per hour and the other car is traveling at 45 miles per hour, how far apart will they be after 9.1 hours?

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Mathematics

Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. An insurance company is willing to insure the concert for $150,000 against rain for a premium of $30,000. If he buys this policy, what are his expected earnings from the concert?

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Mathematics

Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole.Last year the profit for a company was $630,000. This year's profit decreased by 2.2%. Find this year's profit.

A. $138,600.00 B. $616,140.00 C. $491,400.00 D. $13,860.00

Mathematics