Use the figure below to answer the question. and are tangents, m?AOB = 150°, BF= 6 m, DF= 5m, EF= 3 m, and PA= 14 m.





Find m?P.


30°

Mathematics

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Subtract.48 - (-32)

A. -80 B. -16 C. 16 D. 80

Mathematics

Solve the problem.The voltage E in an electrical circuit is given by E = 1.3 cos 100?t, where t is time measured in seconds. Find the period.

A. 50?
B.
C.
D. 50

Mathematics

Find the standard deviation for the given data.The manager of a small dry cleaner employs six people. As part of their personnel file, she asked each one to record to the nearest one-tenth of a mile the distance they travel one way from home to work. The six distances are listed below:  14.3 12.3 42.0 40.2 17.2 14.7Round results to two decimal places.

A. 41.10 B. 13.77 C. 3299.42 D. 4247.75

Mathematics

A die is rolled five times and the number of fours that come up is tallied. Find the probability of getting the given result.Exactly five fours

A. .005 B. .116 C. .001 D. .0001

Mathematics