Solve the problem.A trough is to be made with an end of the dimensions shown. The length of the trough is to be  long. Only the angle ? can be varied. What value of ? will maximize the trough's volume?

A. 13°
B. 30°
C. 47°
D. 32°


Answer: B

Mathematics

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Find the volume.Find the volume of the given sphere. Use 3.14 for ?. Round your answer to the nearest thousandth. diameter = 2.2 cm

A. 44.58 cm3 B. 60.79 cm3 C. 15.198 cm3 D. 5.572 cm3

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Provide an appropriate response.Write with fractional exponents:  

Fill in the blank(s) with the appropriate word(s).

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Multiply.

A.
B.
C.
D.

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Solve.In baseball, the average number of earned runs given up by a pitcher in 9 innings is the pitcher's earned run average (ERA). For example, if a pitcher allows 90 earned runs in 250 innings, his ERA is found by solving the proportion  = . Find the ERA for a pitcher who gives up 99 earned runs in 229 innings. Round your answer to the nearest hundredth.

A. 20.82 B. 3.89 C. 11.00 D. 2.31

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