Use a half-angle formula to find the exact value of the expression.sin 165°

A.  
B. -  
C. -  
D.  


Answer: D

Mathematics

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Find the point(s) at which the given function equals its average value on the given interval.f(x) = ; [0, 24]

A.
B.
C.
D.

Mathematics

Solve the problem using the quadratic formula.For a car traveling at x mph, stopping distance is estimated by the formula  Find a (maximum) safe speed for a stopping distance of 670 ft. Round your answer to the nearest mph.

A. 75 mph B. 72 mph C. 63 mph D. 67 mph

Mathematics

Solve the problem.The cost of owning a home includes both fixed costs and variable utility costs. Assume that it costs $2098 per month for mortgage and insurance payments and it costs an average of $2.87 per unit for natural gas, electricity, and water usage. (i) Determine a linear function that computes the annual cost of owning this home if x utility units are used. (ii) What does the y-intercept on the graph of the function represent?

A. y = -2.87x + 2098; y-intercept, 2098, represents the minimum cost of owning the home without spending anything on utilities. B. y = 2.87x + 2098; y-intercept, 2098, represents the minimum cost of owning the home without spending anything on utilities. C. y = 2.87x + 25,176; y-intercept, 25,176, represents the minimum cost of owning the home for 12 months without spending anything on utilities. D. y = -2.87x + 25,176; y-intercept, 25,176, represents the minimum cost of owning the home for 12 months without spending anything on utilities.

Mathematics

Solve the equation. + 3 = 8

A. {121} B. {25} C. ? D. {61}

Mathematics