Find the volume of the figure if a = 4 in., b = 4 in., c = 15 in., d = 12 in.
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Fill in the blank(s) with the appropriate word(s).


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Mathematics

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Use grouping to factor the polynomial.z4 - 7z3 - 6z2 + 42z

A. z(z2 - 6)(z - 7) B. z(z2 + 6)(z - 7) C. (z3 - 6)(z + 7) D. z(z2 - 7)(z - 6)

Mathematics

Solve the problem.The radius of a right circular cone is given by the formula , where V is the volume and h is the height. If the volume is 940 cubic inches and the height is 16 inches, what is the radius? Use 3.14 for ?, and round your answer to the nearest tenth of an inch.

A. 4.3 inches B. 7.8 inches C. 0.1 inches D. 7.5 inches

Mathematics

A waste water system is being installed in a small town.The large pipes required to reach from the town to the water treatment plant come in 20-foot and 24-foot lengths. The city planner finds that twelve fewer of the 24-foot pipes will be required than if the 20-foot pipes were used. What is the distance from the town to the water treatment plant?

What will be an ideal response?

Mathematics

Minimize the function ? ? ? subject to the constraint  ?

A. ?
B. ?
C. ?
D. ?

Mathematics