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2 years ago

11

What is the square root of 4/225

1 answer:

LuckyWell [14K]2 years ago

7 0

2 / 15

This is simpler than you think. Just take the square root of the denominator and of the numerator and stick it back into fraction form. The square root of 4 is 2 and the square root of 225 is 15. Voila: 2 / 15.

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3 regions are defined in the figure find the volume generated by rotating the given region about the specific line

anastassius [24]

The volume generated by rotating the given region $R_{3}$ about OC is $\frac{4}{g} \pi$

<h3>Washer method</h3>

Because the given region ( $R_{3}$ ) has a look like a washer, we will apply the washer method to find the volume generated by rotating the given region about the specific line.

solution

We first find the value of x and y

$y=2(x)^{\frac{1}{4} }$

$x=(\frac{y}{2} )^{4}$

$y=2x$

$x=\frac{y}{2}$

$\int\limits^a_b {\pi } \, (R_{o^{2} } - R_{i^{2} } ) dy$

$R_{o} = x = \frac{y}{2}$

$R_{i} = x= (\frac{y}{2}) ^{4}$

$a=0, b=2$

$v= \int\limits^2_o {\pi } \, [(\frac{y}{2})^{2} - ((\frac{y}{2}) ^{4} )^{2} ) dy$

$v= \pi \int\limits^2_o= [\frac{y^{2} }{4} - \frac{y^{8} }{2^{8} }} ] dy$

$v= \pi [\int\limits^2_o {\frac{y^{2} }{4} } \, dy - \int\limits^2_o {\frac{y}{2^{8} } ^{8} } \, dy ]$

$v=\pi [\frac{1}{4} \frac{y^{3} }{3} \int\limits^2_0 - \frac{1}{2^{8} } \frac{y^{g} }{g} \int\limits^2_o\\v= \pi [\frac{1}{12} (2^{3} -0)-\frac{1}{2^{8}*9 } (2^{g} -0)]\\v= \pi [\frac{2}{3} -\frac{2}{g} ]\\v= \frac{4}{g} \pi$

A similar question about finding the volume generated by a given region is answered here: brainly.com/question/3455095

6 0

1 year ago

Write in point-slope form an equation of the line passing through (-4, 10) and (-6, 15). Show your work.

Neporo4naja [7]

This is how it is done. Let me know if you have questions...

6 0

2 years ago

What is the value of x

Kisachek [45]

Answer:

$x=98$

Step-by-step explanation:

Angles in a triangle add up to 180°

$180-45-53$

$=82$

Angles in a straight line add up to 180°

$180-82$

$=98$

4 0

3 years ago

Read 2 more answers

I will write about 18

Likurg_2 [28]

Answer

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3 0

2 years ago

Read 2 more answers

U is the midpoint of TV. If TU = 6x and TV = 11x + 8, what is TV?

soldi70 [24.7K]

Answer:

96

Step-by-step explanation:

U is the midpoint of TV, so mTU is half of mTV or mTV = 2 * mTU, so

mTV = 2 * mTU

11x + 8 = 2 (6x)

11x + 8 = 12x

8 = x

mTV = 11x + 8 = 11(8) + 8 = 88 + 8 = 96

4 0

1 year ago