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lord [1]
3 years ago
6

What is the volume, in cubic in, of a rectangular prism with a height of 12in, a width of 10in, and a length of 12in?

Mathematics
1 answer:
VashaNatasha [74]3 years ago
3 0

Answer:

840

Step-by-step explanation:

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Find the length of the arc of the circular helix with vector equation r(t) = 2 cos t i + 2 sin t j + tk from the point (2, 0, 0)
USPshnik [31]

\vec r(t)=2\cos t\,\vec\imath+2\sin t\,\vec\jmath+t\,\vec k

\implies\vec r'(t)=-2\sin t\,\vec\imath+2\cos t\,\vec\jmath+\vec k

\implies\|\vec r'(t)\|=\sqrt{(-2\sin t)^2+(2\cos t)^2+1^2}=\sqrt5

Then the length of the arc is

\displaystyle\int_0^{2\pi}\|\vec r'(t)\|\,\mathrm dt=\sqrt5\int_0^{2\pi}\mathrm dt=2\sqrt5\,\pi

4 0
3 years ago
How do you graph y=-3x+2 and -3x-y=-2 (change into slope intercept form first) then check your answer. The picture is how the fo
Leni [432]
Y=-3x+2:
Already in slope intercept form
Graph by plotting a point on (0,2)
Then move 3 points up and 1 to the right and plot the point and keep doing that a couple times

-3x-y=-2:
Add -3x on both sides
The result would be
-y=3x-2
Divide everything by negative 1
Y=-3x+2

Both equations are the same so they are the same line
8 0
3 years ago
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Brrunno [24]

Answer:

the answer is 108 ft²

Step-by-step explanation:

multiple 18 to 6

5 0
2 years ago
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F(X)=3x-12 what is f(2)
Vinil7 [7]

Answer:

<h3>The answer is - 6</h3>

Step-by-step explanation:

f(X)=3x-12

To find f(2) substitute the value in the bracket which is 2 into f(x)

That's

f(2) = 3(2) - 12

= 6 - 12

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Hope this helps you

4 0
3 years ago
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Y=-4x-3 if the slope was changed to -.50,and the y intercept remained the same?​
yanalaym [24]
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