Provide an appropriate response.Find the ratio of the area of a circumscribed circle of an equilateral triangle to the area of the inscribed circle. [Hint: The altitudes of an equilateral triangle intersect at the center of the inscribed circle. This point of intersection falls one third of the distance along each altitude moving from the base towards the opposite vertex.]

A.  : 1
B.  : 1
C. 2 : 1
D. 4 : 1


Answer: D

Mathematics

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Solve.The volume of wood, V, obtained from a tree varies jointly as the height, h, and the square of the girth (the distance around the tree trunk), g. If the volume is 38.4 ft3 when the height is 30 ft and the girth is 4 ft, what is the volume when the height is 45 ft and the girth is 5 ft?

A. 92.35 ft3  B. 85.76 ft3  C. 93 ft3  D. 90 ft3 

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Solve the problem.The number of acres in a landfill is given by the function  where t is measured in years. How many acres will the landfill have after 5 years? (Round to the nearest acre.)

A. 6516 B. 3660 C. 2830 D. 2643

Mathematics

Find the partial fraction decomposition for the rational expression.

A. 2x - 9 +  + 
B. 2x + 9 +  + 
C. 2x + 5 +  + 
D. 2x - 9 +  - 

Mathematics