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VladimirAG [237]
3 years ago
13

What is the radius of Circle G?

Mathematics
1 answer:
shepuryov [24]3 years ago
6 0

Answer:

r = 97/8 = 12.13

Step-by-step explanation:

Let r = radius = MG = EG

AG = r - 4

ΔMAG is a right triangle.  By the Pythagorean theorem, we have

MG^{2} = MA^{2} + AG^{2}

r^{2} = 9^{2} + (r - 4)^{2} = 81 + r^{2} - 8r + 16

8r = 81 + 16

8r = 97

r = 97/8

 

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Raul has 56 bouncy balls

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then we are told that he puts three times as many balls into red gift bags as he puts into green gift bags

so the number of balls he puts into red gift bags is - 3 * x = 3x

the total number of balls = 56

so we can write the following equation

x + 3x = 56

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x = 56/4

x = 14

therefore the amount of balls he puts into green bags is - 14 balls


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Which is not a property of mathematical proofs?

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What is the Volume of the square pyramid? (Round to the nearest tenth as needed)
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Answer:

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Step-by-step explanation:

Volume of square pyramid

\sf \boxed{Volume \ of \ the \ square \ pyramid = \dfrac{1}{3}*b^2*H}

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       H = height

         We have to find 'H' using Pythagorean theorem,

              slant height (hypotenuse) = 28 mm

                                                  leg₁ = base length  ÷ 2 = 25÷2 = 12.5

                                                  leg₂ = H

     H² + (12.5)² = 28²

                  H²   = 784 - 156.25

                         = 627.75

                   \sf H = \sqrt{627.75}

                 H = 25.01 mm

          \sf  \text{Volume of square pyramid =$\dfrac{1}{3}*25*25*25.1$ }

                                                     = 5229 mm³

                                                     

       

\sf \boxed{\text{Volume of square pyramid = \dfrac{1}{3}*25*25*28}}

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2 years ago
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