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o-na [289]
3 years ago
7

Use the Pythagorean Theorem to find the value of x

Mathematics
1 answer:
sammy [17]3 years ago
4 0

Answer:

Yes

Step-by-step explanation:

It is A

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A square is inscribed in a circle with an area of 10 pi square inches. what is the area of the square
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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).
8 0
3 years ago
Find the image of each polygon with the given vertices after a dilation centered at the origin with the given scale factor. J(2,
MAVERICK [17]

Applying a dilation centered at the origin with scale factor k has the effect of multiplying both coordinates of a point by k:

(x,y)\mapsto (kx,ky)

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3 years ago
A triangle has side lengths of 34in. 28in. and 42in. Is the triangle acute, right or obtuse?
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I believe the answer is acute. Hope this helps!!
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F(t)=t^2-3t<br> g(t)=2t+1<br> find f(g(t))
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Answer:

f (2t + 1) = 4t^{2} - 2t - 2

7 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20%20-%203" id="TexFormula1" title=" \frac{1}{5} - 3" alt=" \frac{1}
denis-greek [22]
-14/5 , -2.8 and yeah
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3 years ago
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