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: A
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Write the equation of the circle with a radius of 8 and its center at the intersection of and
. Express the equation in standard form.
What will be an ideal response?
Consider only the discriminant, b2 - 4ac, to determine whether one real-number solution, two different real-number solutions, or two different imaginary-number solutions exist.x2 - 5x - 6 = 0
A. One real solution B. Two different real-number solutions C. Two different imaginary-number solutions
Solve the problem.You have $50,000 and wish to invest part at 10% and the rest at 6%. How much should be invested at each rate to produce the same return as if it all had been invested at 9%?
A. $37,500 at 6%, $12,500 at 10% B. $37,000 at 10%, $13,000 at 6% C. $37,000 at 6%, $13,000 at 10% D. $37,500 at 10%, $12,500 at 6%
Find the LCM and the GCF of 100 and 110. ?
A. 110, 10 B. 1,100, 20 C. 1,100, 10 D. 11,000, 20