Solve the problem.A new homeowner has a triangular-shaped back yard. Two of the three sides measure 65 ft and 80 ft and form an included angle of 125°. The owner wants to approximate the area of the yard, so that he can determine the amount of fertilizer and grass seed to be purchased. Find the area of the yard rounded to the nearest square foot.

A. 2130 sq. ft
B. 4260 sq. ft
C. 5200 sq. ft
D. 2129 sq. ft


Answer: A

Mathematics

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Solve.The annual depreciation rate r (0 < r < 1) of a car purchased for P dollars and worth A dollars after t years can be modeled by the following formula: Find the depreciated value of a car 5 years after it is purchased new for $30,000 if the depreciation rate is 21%. Round your answer to the nearest dollar.

A. $23,700 B. $9231 C. $12 D. $6300

Mathematics

Solve the problem.Dimitri's score on his third math test was 92. His score on the first test was 6 points higher than his score on the second test. His total for all three tests was 264. What was Dimitri's score on the first test?

A. 86 B. 89 C. 6 D. 83

Mathematics

Convert to an exponential equation.logwQ = 9

A. 9w = Q B. w9 = Q C. Qw = 9 D. Q9 = w

Mathematics

Write the prime factorization of the number.198

A. 2 ? 3 ? 11 B. 2 ? 32 ? 11 C. 22 ? 32 D. 22 ? 32 ? 11

Mathematics