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vodka [1.7K]
3 years ago
15

P and q are prime numbers. p3 x q = 56. Find p and q.

Mathematics
1 answer:
Umnica [9.8K]3 years ago
5 0
P = 2
q = 7

just because 56 = 2*2*2*7
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13.) Find the area of the shaded region if the side length of the square is 8 in.
sladkih [1.3K]

Answer:

<h3>Area of shaded region = 6.88 square inches</h3>

Step-by-step explanation:

Area of shaded region

  When we subtract the area of the circle from the area of square, we get the area of the 4 corners. When we divide that by 2, we get the area of 2 corners(shaded).
\sf \boxed{\text{Area of the shaded region =$\dfrac{Area \ of \ square - area \ of \ circle}{2}$}}

<h3>Square: </h3>

Area of square = side *side

                          = 8 * 8

                          = 64 square inches

<h3>Circle:</h3>

     diameter of the circle = side of the square

                                     d = 8 in

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   \sf \text{Area of circle = \pi r^2}  Area of circle = πr²

                            = 3.14 * 4 * 4

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\sf \text{Area of shade region = \dfrac{64 - 50.24 }{2}}

\sf \text{Area of the shade region = $\dfrac{64 - 50.24}{2}$}

                                       \sf = \dfrac{13.76}{2}\\\\= 6.88 \ square inches

8 0
2 years ago
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