Determine the exact value of  when  and  

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A.
B.
C.
D.
E.

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Answer: E

Mathematics

Solve the problem.To find the distance between two small towns, an electronic distance measuring (EDM) instrument is placed on a hill from which both towns are visible. The distance from the EDM to the towns is  and  and the angle between the two lines of sight is  Find the distance between the towns to the nearest tenth of a mile.

A. 6.2 mi B. 5.3 mi C. 4.7 mi D. 6.7 mi

List all equally likely outcomes in the sample space for the indicated experiment.The queens are separated from a deck of standard playing cards and shuffled. One is randomly selected, and then a coin is tossed.

A. {(head, spade), (head, club), (head, heart), (head, diamond), (tail, spade), (tail, club), (tail, heart), (tail, diamond)} B. {(4, 2)} C. {(club, diamond, heart, spade, head, tail)} D. {(spade, head), (club, head), (heart, head), (diamond, head), (spade, tail), (club, tail), (heart, tail), (diamond, tail)}

Solve the problem.A coin is tossed upward from a balcony  high with an initial velocity of  During what interval of time will the coin be at a height of at least (h = -16t2 + vot + ho.)

A. 4 ? t ? 5 B. 0 ? t ? 1 C. 0 ? t ? 5 D. 5 ? t ? 10

Solve the following system by substitution, if possible.  If  (x, y)  is the solution, find the value of  . ? ?

A. 15 B. 21 C. 7 D. -27 E. no solutions