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Lina20 [59]
3 years ago
15

A square is inscribed in a circle with an area of 10 pi square inches. what is the area of the square

Mathematics
1 answer:
Naddik [55]3 years ago
8 0
We need to determine the radius and diameter of the circle.  If the area of the circle is 10 pi in^2, then, according to the formula for the area of a circle,

A = 10 pi in^2 = pi*r^2.  Thus, 10 in^2 = r^2, and r = radius of circle = sqrt(10) in.

Thus, the diam. of the circle is 2sqrt(10) in.  This diam. has the same length as does the hypotenuse of one of the triangles making up the square.

Thus, [ 2*sqrt(10) ]^2 = x^2 + x^2, where x represents the length of one side of the square.  So, 4(10) in^2 = 2x^2.  Then:
                                 40 in^2  = 2x^2, or 20 in^2 = x^2, and so the length x of one side of the square is sqrt(20).  The area of the square is the square of this result:

Area of the square = x^2 = [ sqrt(20) ]^2 = 20 in^2 (answer).  Compare that to the 10 pi sq in area of the circle (31.42 in^2).
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5 0
3 years ago
You surveyed 112 students and found out that 14 went to the movies last week-
Cerrena [4.2K]

Answer:

c) 325

Step-by-step explanation:

The fraction of students that went to the movies is 14/112. To find the number of students who went to the movies from a larger group, you have to find a fraction equal to 14/112, whose denominator is 2600 (the number of students from the larger group).

14/112 = x/2600

You can do cross multiplication here. Cross multiplication is multiplying the denominator of one fraction by the numerator of the fraction equivalent to it. That product will be equal to the numerator of the first fraction * denominator of the second fraction.

112*x = 14*2600

x = 325

Approximately 325 students out of 2600 students would've gone to the movie last weekend.

4 0
3 years ago
Y = x - 3 and y = 7x + 3 on a graph
dusya [7]

Answer:

Y+x-3 and y=7x+3 on a graph

Step-by-step explanation:

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4 0
3 years ago
What times what is 216
ElenaW [278]
2 times 108 is 216
3 times 72 is 216
4 times 54 is 216 
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7 0
3 years ago
What is the equation of a circle with center (-7,4) and radius 8?
enot [183]
The answer to this question is 
B. (x+7)²+(y-4)²=64 

I hope this helps!!!!!!!

7 0
3 years ago
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