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Aleks04 [339]
2 years ago
9

Sorry for spamming but may i get help on this last one

Mathematics
2 answers:
tresset_1 [31]2 years ago
3 0

Answer: x = -6

Step-by-step explanation:

Since 2 angles have to equal 180, you add both of the angles you see and figure out what that answer is

101+91=192

192 - x - x

192 - 6 - 6 = 180

Oduvanchick [21]2 years ago
3 0

Answer: x=-6

Step-by-step explanation:

They are supplementary angles so both measures = 180. So x+91+x+101=180. 2x+192=180. 2x=-12. X=-6

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Find the volume of the solid formed by revolving the region bounded by LaTeX: y = \sqrt{x} y = x and the lines LaTeX: y = 1 y =
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Answer:

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\displaystyle\frac{37\pi}{10}

Step-by-step explanation:

See the sketch of the region in the attached graph.

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x-\sqrt{x}

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\displaystyle\int_1^4\pi(x-\sqrt{x})^2dx

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Factor \pi out and distribute the exponent (you can use FOIL):

\displaystyle\pi\int_1^4x^2-2x\sqrt{x}+x\,dx

Notice: x\sqrt{x}=x\cdot x^{1/2}=x^{3/2}

So the integral becomes:

\displaystyle\pi\int_1^4x^2-2x^{3/2}+x\,dx

Then using the basic rule to evaluate the integral:

\displaystyle\pi\left[\frac{x^3}{3}-\frac{2x^{5/2}}{5/2}+\frac{x^2}{2}\right|_1^4

Simplifying a bit:

\displaystyle\pi\left[\frac{x^3}{3}-\frac{4x^{5/2}}{5}+\frac{x^2}{2}\right|_1^4

Then plugging the limits of the integral:

\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(4)^{5/2}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]

Taking the root (rational exponents):

\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(2)^{5}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]

Then doing those arithmetic computations we get:

\displaystyle\frac{37\pi}{10}

6 0
3 years ago
In a group of 24 people, 10 study
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Answer:

n = 24

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[ 35/24 - 6/24 ] -1 = 39/24 - 24/24 = 5/24

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3 years ago
Read 2 more answers
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