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3 years ago

Help? I’ll give brainliest

Mathematics

1 answer:

Vaselesa [24]3 years ago

4 0

9514 1404 393

Answer:

10,466.7 in^3

Step-by-step explanation:

The volume of a cone is given by ...

V = (1/3)πr^2·h

where r is the radius and h is the height. Using your numbers, we have ...

V = (1/3)(3.14)(20 in)^2·(25 in) = 10,466.7 in^3

_____

A more accurate value of π will give a different result.

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What is 1-2sin^2x=sinx <br> Please show steps and find all solutions in interval [0,2pi)

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Answer:

$\large\boxed{x=\dfrac{3\pi}{2}\ \vee\ x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}}$

Step-by-step explanation:

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$\sin x=-1\to x=-\dfrac{\pi}{2}+2k\pi,\ k\in\mathbb{Z}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}\\\\x\in[0,\ 2\pi)$

$x=-\dfrac{\pi}{2}\notin[0,\ 2\pi)\\\\x=-\dfrac{\pi}{2}+2\pi=\dfrac{3\pi}{2}\in[0,\ 2\pi)\\\\x=-\dfrac{\pi}{2}+4\pi=\dfrac{7\pi}{2}\notin[0,\ 2\pi)\\\\x=\dfrac{\pi}{6}\in[0,\ 2\pi)\\\\x=\dfrac{\pi}{6}+2\pi=\dfrac{13\pi}{6}\notin[0,\ 2\pi)\\\\x=\dfrac{5\pi}{6}\in[0,\ 2\pi)\\\\x=\dfrac{5\pi}{6}+2\pi=\dfrac{17\pi}{6}\notin[0,\ 2\pi)$

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I hope that helps you out!!

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