Refer to the figure in which O is the center of the circle, and are tangents, m?AOD = 120°, AO = 5 m, PC = 6 m, PE = 18 m, PB = 7 m, AG = 8, and DG = 4m.





Find m?ADO.


30°

Mathematics

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Evaluate the integral.

A. -cos (3x - 2) + C
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Write the decimal in words.The distance from John's house to Ted's is 0.9 mile.

A. nine ten-thousandths B. nine tenths C. nine thousandths D. nine hundredths

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An object moves in simple harmonic motion described by the given equation, where t is measured in seconds and d in meters . Find the maximum displacement, the frequency, and the time required for one cycle.d = 6 cos 5t meters

A. displacement = 6 meters; period = 5 ? seconds; f =  oscillations/second
B. displacement = 6 meters; period =  seconds; f =  ? oscillations/second
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Solve.The formula S = A models the value of a retirement account, where  number of dollars added to the retirement account each year,  annual interest rate, and  value of the retirement account after t years. If the interest rate is 11%, how much will the account be worth after 40 years if $1000 is added each year? Round to the nearest whole

number. A. $41,000 B. $646,827 C. $72,142 D. $2,665,036

Mathematics