Solve the problem.A formula used by an engineer to determine the radius of a curve, R, when designing a particular road is:  where ? is an angle of the road and V is the velocity (in feet per second) for which the curve is designed. If   and   find V. Round to the nearest foot per second.

A. V = 84 ft per sec
B. V = 91 ft per sec
C. V = 86 ft per sec
D. V = 88 ft per sec


Answer: D

Mathematics

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Find the area enclosed by the given curves.y = - 4sin x, y = sin 2x, 0 ? x ? ?

A. 16
B.
C. 4
D. 8

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Solve the problem.The mathematical model  represents the cost in dollars a company has in manufacturing x items during a month. How many items were produced if costs reached $380,000?

A. 800 items B. 650 items C. 1100 items D. 379,600 items

Mathematics

Fill in the blank with one of the words or phrases listed below. Not all choices will be used and some choices may be used more than once.The  of a list of terms is the product of all common factors.

A. difference of two squares B. difference of two cubes C. greatest common factor D. perfect square trinomial

Mathematics

Solve the problem.Inclusive of a 6.8% sales tax, a diamond ring sold for $2029.20. Find the price of the ring before the tax was added. (Round to the nearest cent, if necessary.)

A. $1891.21 B. $137.99 C. $2167.19 D. $1900

Mathematics