Solve the problem.A ship sailing parallel to shore sights a lighthouse at an angle of 14° from its direction of travel. After traveling 4 miles farther, the angle is 24°. At that time, how far is the ship from the lighthouse? If necessary, round to the nearest hundredth of a mile.

A. 4 mi
B. 5.57 mi
C. 9.37 mi
D. 2.38 mi


Answer: B

Mathematics

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Determine convergence or divergence of the alternating series.

A. Converges B. Diverges

Mathematics

Considering the given value of t, choose the ordered pair that lies on the graph of the given pair of parametric equations.x = t, y = t3; t = -2

A. (-8, -2) B. (2, 8) C. (-2, -8) D. (-2, 4)

Mathematics

Solve the problem.Find the linear speed for the tip of the hour hand of a clock, if the hand is 16 centimeters long and the angular speed is  radians per second.

A. v =  cm/sec
B. v =  cm/sec
C. v = 144? cm/sec
D. v =  cm/sec

Mathematics

Evaluate the expression, given x = -2, y = 3, and a = -4.(-6 + x)(-7 + y)(-2 - a)

A. 64 B. -192 C. -96 D. -64

Mathematics