Given C = 100, a = 8 and b = 15,use the Law of Cosines to solve the triangle for the value of c. Round answer to two decimal places.

A) 17.88
B) 18.18
C) 15.73
D) 17.57
E) 16.96


B) 18.18

Mathematics

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Solve the problem.A formula used to determine the velocity v in feet per second of an object (neglecting air resistance) after it has fallen a certain height is  where g is the acceleration due to gravity and h is the height the object has fallen. If the acceleration g due to gravity on Earth is approximately 32 feet per second, find the velocity of a bowling ball after it has fallen 70 feet. (Round to the nearest tenth.)

A. 66.9 ft per sec B. 11.8 ft per sec C. 47.3 ft per sec D. 4480 ft per sec

Mathematics

Suppose that the function with the given graph is not f(x), but f'(x). Find the open intervals where f(x) is increasing or decreasing as indicated.  Increasing 

A. (2, ?) B. (-2, 2) C. (-?, -2), (2, ?) D. (0, ?)

Mathematics

Solve the problem.Suppose the consumption of electricity grows at 8% per year, compounded continuously. Find the number of years before the use of electricity has tripled. Round to the nearest hundredth.

A. 37.50 yr B. 13.73 yr C. 0.14 yr D. 1.37 yr

Mathematics

Find the limit. ? ?

A.
B.
C. 1
D. ?-5
E. ?

Mathematics