Solve the problem for the given information.Find the equation of a line passing through the origin so that the sine of the angle between the line in  and the positive  is .

A. y = x
B. y = x
C. y = x
D. y = x


Answer: B

Mathematics

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Solve the problem. Round to tenths where necessary.S(x) = -x3 + 6x2 + 288x + 4000, 4 ? x ? 20 is an approximation to the number of salmon swimming upstream to spawn, where x represents the water temperature in degrees Celsius. Find the temperature that produces the maximum number of salmon.

A. 12°C B. 8°C C. 20°C D. 4°C

Mathematics

Find the radian measure of a central angle ? in a circle of radius r, assuming that ? intercepts an arc of length s. Round your answer to three decimal places when necessary.r = 4 m, s = 13 m

A. 10.21 B. 52 C. 3.25 D. 0.308

Mathematics

Solve the problem.The distance from home plate to dead center field in a certain baseball stadium is 406 feet. A baseball diamond is a square with a distance from home plate to first base of 90 feet. How far is it from first base to dead center field?

A. 348.2 ft B. 473.9 ft C. 383.5 ft D. 331.1 ft

Mathematics

Graph the line through the given point with the given slope.(0, 6), m = - 

A.

B.

C.

D.

Mathematics