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Choose the One Alternative That Best Completes the Statement or Answers

Question 87

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-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-third 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.
 Choose the one alternative that best completes the statement or answers the question.  -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-third 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)    = 12/ 6 +   \pi  B)    = 3/ 6 + 2  \pi  C)    = 12/ 6+ 2  \pi  D)    = 12/3+2  \pi


A)  Choose the one alternative that best completes the statement or answers the question.  -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-third 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)    = 12/ 6 +   \pi  B)    = 3/ 6 + 2  \pi  C)    = 12/ 6+ 2  \pi  D)    = 12/3+2  \pi = 12/ 6 + π\pi
B)  Choose the one alternative that best completes the statement or answers the question.  -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-third 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)    = 12/ 6 +   \pi  B)    = 3/ 6 + 2  \pi  C)    = 12/ 6+ 2  \pi  D)    = 12/3+2  \pi = 3/ 6 + 2 π\pi
C)  Choose the one alternative that best completes the statement or answers the question.  -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-third 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)    = 12/ 6 +   \pi  B)    = 3/ 6 + 2  \pi  C)    = 12/ 6+ 2  \pi  D)    = 12/3+2  \pi = 12/ 6+ 2 π\pi
D)  Choose the one alternative that best completes the statement or answers the question.  -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-third 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)    = 12/ 6 +   \pi  B)    = 3/ 6 + 2  \pi  C)    = 12/ 6+ 2  \pi  D)    = 12/3+2  \pi = 12/3+2 π\pi

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