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A window is in the form of a rectangle surmounted by a semi-circle. The rectangle is of clear glass, whereas the semicircle is of tinted glass that transmits only half as much light per unit area as clear glass does. The total perimeter of the window is 40 meters.a. Sketch a picture of the window and label your variables on the picture.b. State the formulas you need for this problem and set up the formula for the amount of light that the window will admit.c. What are the dimensions of the window
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SOLVED:A window consists of a rectangular piece of clear glass with a semicircular piece of colored glass on top. Suppose that the colored glass transmits only k times as much light per unit area as the clear glass (k is between 0 and 1). If the distance from top to bottom (across both the rectangle and the semicircle) is a fixed distance H, find (in terms of k ) the ratio of vertical side to horizontal side of the rectangle for which the window lets through the most light. ⇒
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