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3 years ago

What is the value of x? X= in

Mathematics

2 answers:

IrinaVladis [17]3 years ago

7 0

X = 24 inches because the ratio between the larger triangle and smaller triangle is 3 to 1

dsp733 years ago

4 0

From the small triangle to the larger triangle, there is a scale factor of 3...because 5 * 3 = 15.

so because of this scale factor, x would be : 8 * 3 = 24 <==

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A square fits exactly inside a circle with each of its vertices being on the circumference of the circle.

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Answer:

The side of the square is 5.971 cm

Step-by-step explanation:

If the square fits the circle exactly, then its diagonal is equal to the diameter of the circle. Since the side of the square has a length of $x$ cm, then it's diagonal have the length of $x\sqrt2$ cm. Using the circle's area we can find the diagonal of the square, as shown below:

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Since the diameter of the circle is the same as the diagonal of the square, then:

$x\sqrt{2} = 2*r \\x = \frac{2*r}{\sqrt{2}}\\x = \frac{2*4.222}{\sqrt{2}}\\x = 5.971$

The side of the square is 5.971 cm

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3 years ago

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