Solve the problem. Round to the nearest tenth if necessary.Shane is flying his kite on 48 yd of string. The kite is directly above the edge of a pond. The edge of a pond is 32 yd from where the kite is tied to the ground. How far is the kite above the pond?

A. 1,280 yd
B. 35.8 yd
C. 57.7 yd
D. 3,328 yd


Answer: B

Mathematics

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Mathematics

Evaluate f''(c) at the point.f(x) = e-x, c = 0

A. f''(0) = e B. f''(0) = 0 C. f''(0) = 1 D. f''(0) = -1

Mathematics

Solve the problem.A radio transmission tower is 120 feet tall. How long should a guy wire be if it is to be attached 7 feet from the top and is to make an angle of 28° with the ground? Give your answer to the nearest tenth of a foot.

A. 255.6 ft B. 240.7 ft C. 135.9 ft D. 128.0 ft

Mathematics

Solve the problem.The half-life of an element is 4.5 × 1012 yr. How long does it take a sample of the element to decay to  of its original mass? Use  where A0 is the initial amount, T is the half-life, and t is the time. (Express results in scientific notation, rounded to the nearest hundredth.)

A. 1.29 × 1012 yr B. 2.63 × 1012 yr C. 5.83 × 1012 yr D. 1.26 × 1012 yr

Mathematics