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Naily [24]
3 years ago
14

A stained glass window is going to be installed in a semi-circular opening, which is above a 34 inch wide door. If the stained g

lass window costs $0.95 per square inch, how much will the window cost? Use 3.14 for π
as necessary.
A. $389.10
B. $1,724.17
C. $431.04
D. $494.55
Mathematics
1 answer:
Tasya [4]3 years ago
3 0

The area of a full circle would be Area = PI x r^2

The diameter would be the width of the dorr, so the radius would be half that. 34/2 = 17  inches.

Area for a full circle would be 3.14 x 17^2 = 907.46 square inches.

A semi circle is a half circle.

The area would be 907.46 / 2 = 453.73 square inches.

Multiply the area by the cost:

453.73 x 0.95 = 431.04

The answer is C.

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This problem can be solved using two equations:
The first represents the total trip, which is the miles driven in the morning added to those in the afternoon. Let's call the hours driven in the morning X and the hours driven in the afternoon Y. We get: X + Y = 248.
The second equation relates the miles driven in the morning compared to the afternoon. Since 70 fewer miles were driven in the morning than the afternoon, then X = Y - 70.
Now substitute the equation for morning hours (equation 2) into the total miles equation (equation 1). We get:
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