Find the exact value under the given conditions.sin ? = , 0 < ? < ; cos ? = , 0 < ? < Find cos (? + ?).

A.
B.
C.
D.


Answer: A

Mathematics

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Estimate the value of the quantity.A swimming pool has a leak. The leak is getting worse. The following table gives the leak rate every 6 hours.Suppose it keeps leaking 6.9 gallons every 6 hours. After losing 2500 gallons the leak is fixed. Approximately how long did the leak last? Use the right endpoints to estimate the first 48 hours.

A. 33.54 hours B. -93.20 hours C. 53.64 hours D. 27.54 hours

Mathematics

A box contains $7.15 in nickels, dimes, and quarters. There are 44 coins in all, and the sum of the numbers of nickels and dimes is two less than the number of quarters. How many coins of each kind are there? 

A. 17 nickels, 6 dimes, and 21 quarters B. 16 nickels, 5 dimes, and 23 quarters C. 16 nickels, 10 dimes, and 27 quarters D. 14 nickels, 7 dimes, and 23 quarters E. 18 nickels, 9 dimes, and 17 quarters

Mathematics

Compute the compound interest.Assume the cost of a car is $23,000. With continuous compounding in effect,find the number of years it would take to double the cost of the car at an annual inflation rate of 6.4%. Round the answer to the nearest hundredth.

A. 156.93 yr B. 10.83 yr C. 167.76 yr D. 1.57 yr

Mathematics

Solve the problem.If a roof's slope is 0.5, how high will the roof rise over a 9-foot run?

A.  feet
B. 4 feet
C. 18 feet
D. 9 feet

Mathematics