Solve the problem.A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is of tinted glass that transmits only one-fifth as much light per unit area as clear glass does. The total perimeter is fixed. Find the proportions of the window that will admit the most light. Neglect the thickness of the frame.
A. =
B. =
C. =
D. =
Answer: D
Mathematics
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Graph the system of inequalities.x + 3y ? 32x - y ? -8
A.
B.
C.
D.
Mathematics
Write an equation in standard form using only integers for the line described.The line through (4, 4), parallel to y = - x + 1
A. 5x - 7y = 48 B. 7x + 5y = -48 C. 5x + 7y = -48 D. 5x + 7y = 48
Mathematics
Solve the problem.The Family Arts Center charges $22 for adults, $13 for senior citizens, and $8 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was for 806 tickets sold. There were 50 more children than adults. How many children attended?
A. 428 children B. 257 children C. 297 children D. 242 children
Mathematics
Solve the inequality and graph the solution.x2 + 3x ? -2
A. [-2, -1]
-2? | -1 |
B. (-?, -2] or [-1, ?)

-2? | -1 |
C. (-?, -2]

-2 |
D. [-1, ?)

-1 |
Mathematics