2 years ago

40 feet to 260 feet ratio

Mathematics

1 answer:

DedPeter [7]2 years ago

6 0

40:260 is the ratio for this problem

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p= 44 /9

(44 over 9)

Step-by-step explanation:

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The height of a cylinder is equal to the diameter of the base What expression represents the volume of the cylinder, in cubic un

Sveta_85 [38]

Answer: 3 units

Step-by-step explanation:

the volume of a cone C = πr²h/3

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3 years ago

likoan [24]

It's easy to show that $7\tan(4x)$ is strictly increasing on $x\in\left[0,\frac\pi8\right]$ . This means

$M = \max \left\{7\tan(4x) \mid \dfrac\pi{16} \le x \le \dfrac\pi{12}\right\} = 7\tan(4x) \bigg|_{x=\pi/12} = 7\sqrt3$

and

$m = \min \left\{7\tan(4x) \mid \dfrac\pi{16} \le x \le \dfrac\pi{12}\right\} = 7\tan(4x) \bigg|_{x=\pi/16} = 7$

Then the integral is bounded by

$\displaystyle 7\left(\frac\pi{12} - \frac\pi{16}\right) \le \int_{\pi/16}^{\pi/12} 7\tan(4x) \, dx \le 7\sqrt3 \left(\frac\pi{12} - \frac\pi{16}\right)$

$\implies \displaystyle \boxed{\frac{7\pi}{48}} \le \int_{\pi/16}^{\pi/12} 7\tan(4x) \, dx \le \boxed{\frac{7\sqrt3\,\pi}{48}}$

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2 years ago

Please simplify this problem:

joja [24]

Answer:

-52/75

Step-by-step explanation:

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2 years ago