Let f(x)3x-2 and g(x)=5x.Identify the rule for the following functions. f(g(3))

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Ответ:

carter1809

20.01.2020

Mathematics

$\frac{4\pi}{3}$

Step-by-step explanation:

We are given that length of arc CD= $\frac{2}{3}$ of circuference of circle.

We have to find the radian measure of central angle.

We know that circumference of circle= $2\pi r$

Arc length = $2\pi r\times \frac{central\;angle}{360^{\circ}}$

Let central angle measure = $\theta$

Substitute the values in given formula

$\frac{2}{3}\times 2\pi r=2\pi r\times \frac{\theta}{360^{\circ}}$

$\theta=240^{\circ}$

Radian measure= $\frac{\pi}{180}\times degree\;measure$

central angle= $\frac{\pi}{180}\times 240=\frac{4\pi}{3}$

Hence, the radian measure of central angle= $\frac{4\pi}{3}$

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