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LekaFEV [45]
3 years ago
6

Match each area of a circle to its corresponding radius or diameter. area: 63.585 square meters area: 28.26 square meters area:

120.7016 square meters area: 12.56 square meters area: 482.8064 square meters area: 113.04 square meters diameter: 12.4 meters radius: 4.5 meters diameter: 6 meters radius: 2 meters
Mathematics
1 answer:
melamori03 [73]3 years ago
8 0

Answer:

Step-by-step explanation:

area = pi*radius*radius -> Radius =  \sqrt{\frac{area}{pi} }

area: 63.585 m2

   -> radius = \sqrt{\frac{63.585}{3.14} } = 4.5 m

area: 28.26m2

  -> radius = \sqrt{\frac{28.26}{3.14} } = 3m

   -> diameter = 6m

area: 120.7016m2

  -> radius = \sqrt{\frac{120.7016}{3.14} } = 6.2m

   -> diameter = 12.4m

area: 12.56m2

   -> radius = \sqrt{\frac{12.56}{3.14} } = 2m

area: 482.8064m2

   ->radius = \sqrt{\frac{482.8064}{3.14} } = 12.4m

area: 113.04 m2

   ->radius = \sqrt{\frac{113.04}{3.14} } = 6m

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1. 100        1. 150           1. 1

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2 years ago
Explain how the Quotient of Powers Property was used to simplify this expression.
Strike441 [17]

Answer:

\frac{5^{4}}{25} = 25

Step-by-step explanation:

I'm not sure if you had a typographical error with this statement, "5 to the fourth power, over 25 = 52."

According to the <u>Quotient Rule of Exponents</u><u>:</u>

\frac{a^{m}}{a^{n}} = a^{(m-n)}

Method 1:

In order for you apply the Quotient Rule, the base must be the same. Since 5 is a factor of 25, then you could rewrite 25 as 5². Doing so will give you the following exponential expression:

\frac{5^{4}}{5^{2}} = 5^{(4 - 2)} = 5^{2} = 25

Method 2:

Even if you solve the given problem manually, you'd still get the same answer:

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