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natima [27]
3 years ago
8

Rearrange the formula C = 2πr for r.

Mathematics
2 answers:
Oliga [24]3 years ago
6 0
R=<span>C/2π


cheers
:)
year 9?</span>
emmainna [20.7K]3 years ago
3 0

Answer:

\frac{C}{2\pi }=r

Step-by-step explanation:

C=2\pi r

WE need to solve for 'r'. Our aim is to get 'r' alone

2πr mean 2 times pi times r

To remove 2π we do opposite operation

Opposite operation of multiplication is division.

To remove 2π , divide both sides by 2π

\frac{C}{2\pi }=\frac{2\pi r}{2\pi}

Now simplify it

\frac{C}{2\pi }=r

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Solve for x. Evaluate and round your answer to 1 decimal place(tenths place). 10x=1200
Mandarinka [93]

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<h2>x = 3.1</h2>

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<h3>{10}^{x}  = 1200</h3>

<u>To solve first take logarithm to both sides</u>

That's

<h3>log_{10}(10) ^{x}  =  log_{10}(1200)</h3><h3 /><h3>log_{10}(10)^{x}  = x log_{10}(10)</h3>

But

<h3>log_{10}(10)  = 1</h3>

So we have

x =  log_{10}(1200)

<u>Write 1200 as a number with the factor 100</u>

That's

1200 = 100 × 12

So we have

<h3>x =  log_{10}(100 \times 12)</h3>

<u>Using the rules of logarithms</u>

That's

<h3>log_{a}(x \times y)  =  log_{a}(x)  +  log_{a}(y)</h3>

Rewrite the expression

That's

<h3>x =  log_{10}(100)  +  log_{10}(12)</h3><h3 /><h3>x =  log_{10}(10)^{2}  +  log_{10}(12)</h3><h3>x = 2 log_{10}(10)  +  log_{10}(12)</h3><h3>log_{10}(10)  = 1</h3><h3 /><h3>x = 2 +  log_{10}(12)</h3>

x = 3.079

So we have the final answer as

<h3>x = 3.1 to one decimal place</h3>

Hope this helps you

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3 years ago
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