3 years ago

Determine the value of t.

Mathematics

2 answers:

Anna71 [15]3 years ago

5 0

The angles are the same, so you can do the following:
3t + 12 = 66

3t = 66 - 12
3t = 54
t = 54/3
t = 18

Alekssandra [29.7K]3 years ago

4 0

Step-by-step explanation:

Since vertically opposite angles are equal

Therefore 3t+12=66

3t=66-12

3t=54

t=54/3

t=3

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<img src="https://tex.z-dn.net/?f=%20%5Cpi%20%20x%5E%7B2%7D%20" id="TexFormula1" title=" \pi x^{2} " alt=" \pi x^{2} " align="

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$\pi x^{2} = a$

We need to solve the equation for x. Where x is the radius of the circle.

In order to solve it for x, we need isolate it for x on left side.

So, first we need to get rid pi from left side.

On dividing both sides by pi, we get

$\frac{\pi x^2}\pi}=\frac{a}{\pi}$

$x^2=\frac{a}{\pi}$

Taking square root on both sides, we get

$\sqrt{x^2}=\sqrt{\frac{a}{\pi}}$

$x=\sqrt{\frac{a}{\pi}}$

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