Solve the problem.One side of a triangle is twice as long as a second side. The third side of the triangle is 12 feet long. The perimeter of the triangle cannot be more than 30 feet. Find the longest possible values for the other two sides of the triangle.

A. 9 feet and 9 feet
B. 6 feet and 12 feet
C. 21 feet and 21 feet
D. 5 feet and 10 feet


Answer: B

Mathematics

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Find the volume of the solid generated by revolving the region R bounded by the graphs of the given equations about the .y = x, y = 0, between x = 3 and x = 5

A. ?
B. ?
C. 8?
D. 17?

Mathematics

Provide an appropriate response.How can you tell when an equation has a solution set of all real numbers?

What will be an ideal response?

Mathematics

Evaluate the integral.dx

A.  sin 4x -  sin3 4x + C
B. 5 sin 4x -  sin3 4x + C
C.  sin 4x -  cos3 4x + C
D.  sin 4x +  sin3 4x + C

Mathematics

For the given arithmetic series, what is Sn?a1 = 2, d = -5, and n = 12

A. -1224 B. -304 C. -306 D. -612

Mathematics