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AleksAgata [21]

3 years ago

11

Simplify (8z - 10) ÷ (-2) 5(z - 1).

1 answer:

Nookie1986 [14]3 years ago

5 0

(8z - 10) ————————— + 5 • (z - 1) -2 <span>Step 2 :</span> 8z - 10 Simplify ——————— -2 <span>Step 3 :</span>Pulling out like terms :

<span> 3.1 </span> Pull out like factors :

8z - 10 = 2 • (4z - 5)

<span>Equation at the end of step 3 :</span> (5 - 4z) + 5 • (z - 1) <span>Step 4 :</span>Final result : z

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A square is inscribed in a circle. If the area of the square is 9 in2, what is the ratio of the circumference of the circle to t

IgorC [24]

The ratio of the circumference of the circle to the perimeter of the square is $\pi \sqrt{2}:4$

<em><u>Explanation</u></em>

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So the side length of the square is 3 inch.

Now as the square is inscribed in a circle, so the diagonal of the square will be diameter of the circle.

Length of the diagonal of square = $a\sqrt{2} = 3\sqrt{2}$ inch

So, the diameter of the circle $= 3\sqrt{2}$ inch

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Circumference of the circle, $2\pi r= 2\pi *\frac{3\sqrt{2}}{2}= 3\pi \sqrt{2}$ inch

and Perimeter of the square, $4a = (4*3)inch= 12$ inch

So, the ratio will be: $3\pi \sqrt{2} : 12 = \pi \sqrt{2} : 4$

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3 years ago

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