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zhenek [66]
3 years ago
6

If a square is approximately 4.25 inches and there is 2.54 centimeters in a inch how long is each side of the square in centimet

ers
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
7 0
10.795 square centimeters
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It's unclear what the planes are supposed to be, so I'll take x=a and x=b with 0\le a.

The cross sections are disks with diameter \csc x-\cot x, so each disk of thickness \Delta x has a volume of

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Then taking infinitesimally thin disks, we find the solid has a volume of

\displaystyle\frac\pi4\int_a^b(\csc x-\cot x)^2\,\mathrm dx

Since

(\csc x-\cot x)^2=2\csc^2x-2\csc x\cot x-1

and

\dfrac{\mathrm d(\csc x)}{\mathrm dx}=-\csc x\cot x

\dfrac{\mathrm d(\cot x)}{\mathrm dx}=-\csc^2x

it follows that the volume is

\displaystyle\frac\pi4\left(-2\cot x+2\csc x-x\right)\bigg|_a^b

=\dfrac\pi4(2(\cot a-\cot b)+2(\csc b-\csc a)+a-b)

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4 years ago
What is the area of the given triangle?
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Answer:

B  12

Step-by-step explanation:

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Step-by-step explanation:

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Will give brainliest just solve 3x+3=30
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See attached picture.

Step-by-step explanation:

Graph the function as (x,y) points.

(-3,5)

(4,6)

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To graph the inverse, switch the points from (x,y) to (y,x).

(5,-3)

(6,4)

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These are graphed in red on the picture.

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