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kondor19780726 [428]
2 years ago
14

Solve the equation or formula for the indicated variable.

Mathematics
1 answer:
8090 [49]2 years ago
4 0

Answer:

h = \frac{T - 2\pi r^{2}}{2\pi r}

<u>Step-by-step explanation:</u>

T= 2rπh + 2πr²

Subtract terms that don't include the indicated variable from both sides:

T= 2rπh + 2πr²   ⇒   T - 2πr² = 2rπh

Divide values being multiplied by indicated variable from both sides:

T - 2πr² = 2rπh   ⇒   \frac{T - 2\pi r^{2}}{2\pi r} = h

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Suppose y varies directly as x, and y=14 when x=4. What is the value of y when x=9
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Given :-

  • y varies directly as x, and y=14 when x=4.

To Find :-

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Solution :-

<u>A</u><u>c</u><u>c</u><u>o</u><u>r</u><u>d</u><u>i</u><u>n</u><u>g</u><u> </u><u>t</u><u>o</u><u> </u><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>,</u>

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<u>When</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>1</u><u>4</u><u> </u><u>a</u><u>n</u><u>d</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>4</u><u> </u><u>,</u>

  • 14 = k(4)
  • k = 14/4
  • k = 7/2

<u>W</u><u>h</u><u>e</u><u>n</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>9</u><u> </u><u>,</u>

  • y = 7/2*9
  • y = 63/2
  • y = 31.5
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Step-by-step explanation:

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Divide all parts by 2:

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