Solve the problem.A square fence 5 feet high enclosing a radio tower is 3 feet from the tower on all 4 sides. Guy wires used to hold the tower in position are attached to the tower 36 feet above the ground and 18 feet from the fence on all 4 sides. How long are the guy wires to the nearest foot?

A. 29 feet
B. 39 feet
C. 42 feet
D. 40 feet


Answer: C

Mathematics

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Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = xyi + y2j - 2yzk ; D: the solid wedge cut from the first quadrant by the plane  and the parabolic cylinder x = 16 - 9y2

A.
B.
C.
D.

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Rationalize the denominator of each fraction.

A.
B.
C.
D.

Mathematics

Use a half-angle formula to find the exact value of the expression.cos 

A.
B. - 
C. - 
D.

Mathematics

Solve the problem.While traveling at a constant speed in a car, the centripetal acceleration passengers feel while the car is turning is inversely proportional to the radius of the turn. If the passengers feel an acceleration of 45 feet per second per second when the radius of the turn is 40 feet, find the acceleration the passengers feel when the radius of the turn is 120 feet.

A. 5 ft/sec2 B. 7 ft/sec2 C. 6 ft/sec2 D. 8 ft/sec2

Mathematics