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kolezko [41]
4 years ago
5

What is equal to x in x - 8pi = pi?

Mathematics
1 answer:
pochemuha4 years ago
8 0

Add 8π to both sides of the equation to get:

x - 8\pi + 8\pi = \pi + 8 \pi

\boxed{x = 9 \pi}


We have found that x = 9π. Remember that in solving problems like these with pi that it can often be helpful to treat pi as a variable.

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Pleas help me solve #1 :( <br> Your answer helps so much!!
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ANSWER

y = 7 \sqrt{2}

x = 7

EXPLANATION

The given triangle has a right angle.

The side opposite to the 45° angle is 7 units.

To find angle x, we use the tangent ratio.

Recall the mnemonics TOA, which means,

\tan(45 \degree)  =  \frac{opposite}{adjacent}

\tan(45 \degree)  =  \frac{7}{x}

1 =  \frac{7}{x}

x = 7

To find y, we use the sine ratio, which means

\sin(45 \degree)  =  \frac{opposite}{hypotenuse}

\sin(45 \degree)  =  \frac{7}{y}

y=  \frac{7}{\sin(45 \degree) }

y=  \frac{7}{ \frac{1}{ \sqrt{2} } }

y = 7 \times  \frac{ \sqrt{2} }{1}

y = 7 \sqrt{2}

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