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svetoff [14.1K]
3 years ago
10

The diameter of a circle is 14 in. Find its area in terms of π π.

Mathematics
1 answer:
maksim [4K]3 years ago
4 0

Answer:

49π in²

Step-by-step explanation:

Step 1: Find the radius.

  • To find radius given diameter, just divide the diameter by 2: \frac{14}{2}
  • 14/2 = 7, so the radius is 7.

Step 2: Apply area of circle formula.

  • The formula to find the area of a circle is πr², where r = radius.
  • Now, plug in the value of r: π(11)².

Step 3: Simplify.

  • π(11)²
  • π(121)
  • 121π

Since we're finding the area in terms of pi, we don't have to multiply 121 by pi, so the answer is 49π in².

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Y is inversely proportional to the square root of x if y=3 when x=25 find y when x is 9
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Answer:

y=5

Step-by-step explanation:

\textsf{If }y \textsf{ is \underline{inversely proportional} to the square root of }x, \textsf{ then}:

y \propto\dfrac{1}{\sqrt{x}} \implies y=\dfrac{k}{\sqrt{x}}\quad \textsf{(where k is some constant)}

\textsf{When }x=25, y = 3:

\implies 3=\dfrac{k}{\sqrt{25}}

\implies 3=\dfrac{k}{5}

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Inputting the <u>found value of k</u> into the equation:

\implies y=\dfrac{15}{\sqrt{x}}

To find the value of y when x is 9, <u>substitute</u> x = 9 into the found equation:

\implies y=\dfrac{15}{\sqrt{9}}

\implies y=\dfrac{15}{3}

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None of the answer choices (even after editing to add appropriate math symbols) describes the relation between length and width.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Given as :

During two years, the population of birds of an island became 7 times more than before.

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Let The percentage increase in second year =  r_2 = r%

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