Solve the problem.A conservation officer needs to know the width of a river in order to set instruments correctly for a study of pollutants in the river. From point A, the conservation officer walks 105 feet downstream and sights point B on the opposite bank to determine that ? = 50° (see figure). How wide is the river (round to the nearest foot)? 

A. 163 ft
B. 125 ft
C. 80 ft
D. 88 ft


Answer: B

Mathematics

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Solve the equation. +  = 

A. -6 B. 3 C. no solution D. 0

Mathematics

Determine if the function f defined by the set of ordered pairs has an inverse. If so, find the inverse.{(16, 10), (7, 15), (-1, -3)}

A. No inverse B. {(10, 16), (15, 7), (-3, -1)} C. {(10, 16), (-1, 7), (-3, 15)} D. {(16, 15), (16, 7), (-3, -1)}

Mathematics

Graph the solution set.|x| ? 6

A.

B.

C.

D.

Mathematics

An object of mass m (in grams) attached to a coiled spring with damping factor b (in grams per second) is pulled down a distance a (in centimeters) from its rest position and then released. Assume that the positive direction of the motion is up and the period is T (in seconds) under simple harmonic motion. Develop a model that relates the distance d of the object from its rest position after t seconds.m = 15, a = 8, b = 0.55, T = 3

A. d = -8e-0.55t/30 cos 
B. d = 8e-0.55t/30 cos 
C. d = -8e-0.55t/30 cos 
D. d = 8e0.55t/30 cos 

Mathematics