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Mathematics 11 Online
OpenStudy (rockinhood):

-WILL MEDAL AND FAN-

OpenStudy (rockinhood):

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OpenStudy (rockinhood):

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OpenStudy (rockinhood):

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OpenStudy (rockinhood):

@adajiamcneal ? :/

OpenStudy (anonymous):

I can help

OpenStudy (rockinhood):

Awesome.

OpenStudy (anonymous):

So for number 1 is we need to find the volume of a triangular prism and the equation for that is V=1/2 length x width x height

OpenStudy (rockinhood):

.5 x 29 x 10 x 10?

OpenStudy (rockinhood):

1,450

OpenStudy (anonymous):

No hold on I had the wrong equation

OpenStudy (anonymous):

The right equation is V=1/4 square root a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4 = 1/4·29 square root 104+2·(10·10)2+2·(10·10)2﹣104+2·(10·10)2﹣104≈1255.73684

OpenStudy (rockinhood):

Oh ok.

OpenStudy (anonymous):

So the answer is b

OpenStudy (rockinhood):

Got it.

OpenStudy (anonymous):

Hold on Ill be right back

OpenStudy (anonymous):

Had to grab a drink of water

OpenStudy (anonymous):

Alright so for number two we are trying using cubic feet and cubic yards as measurements.

OpenStudy (anonymous):

A yard is 3 feet, when something is cubed it is ^3. 3 x 3 is 9. 9= 1 cubic yard

OpenStudy (anonymous):

there are three cubic yards, or 9 x 3. That equals 27

OpenStudy (anonymous):

27 = 1 cubic yard

OpenStudy (anonymous):

Not 3 cubic yards... its been a while since I've done volume stuff

OpenStudy (anonymous):

The volume of a rectangular prism is L x w x h so it is 11 feet x 11 feet x 3 inches

OpenStudy (anonymous):

11 feet is 11/3 yards 3 inches is 3/36=1/12 yards. You put this all together (11/3)*(11/3)*(1/12)=121/108 cubic yards. Since the cubic yard costs 63$, the price of the concrete will be (121/108)*63=70.58$

OpenStudy (anonymous):

I know thats all really confusing but the answer is again b

OpenStudy (rockinhood):

I know we've only gone through two but whatever. I really appreciate the help! Shall we continue?

OpenStudy (anonymous):

Yeah

OpenStudy (anonymous):

Alright so for three we are trying to find the radius of a cylinder using the volume

OpenStudy (anonymous):

The equation for the volume of a cylinder is V = h * pi * r^2. We don't know the radius yet but we know the height. So we want to substitute in the values we do know

OpenStudy (anonymous):

980 = 10 x 3.14 x r^2

OpenStudy (anonymous):

980pi*

OpenStudy (anonymous):

No we want to simplify so that we can find r^2

OpenStudy (anonymous):

So we need to divide both sides by 10 and by 3.14 (pi). No we have 98 = r^2

OpenStudy (anonymous):

One more step is to unsure the equation so that we get r alone

OpenStudy (anonymous):

Now we have r = 7 in

OpenStudy (anonymous):

Answer = A

OpenStudy (anonymous):

I accidentally used the wrong height. The answer for the equation we did should be 9.899 but just substitute in 20 for the height value and you have the correct answer

OpenStudy (anonymous):

Are you still following me? or am I making no sense?

OpenStudy (rockinhood):

You're making sense, it's just me, I'm not great at following in these particular volume-type-questions

OpenStudy (anonymous):

Understandable. My rough spot is algebra

OpenStudy (anonymous):

For the next problem we are doing the opposite.Trying to solve for the volume, using the radius

OpenStudy (anonymous):

No the answer is 7

OpenStudy (anonymous):

For the next problem, we need to do the opposite and find the volume with the radius and height

OpenStudy (anonymous):

V = B • h So we first need to find the area of the base

OpenStudy (rockinhood):

It's 3.14 x r^2 right?

OpenStudy (anonymous):

yes that is

OpenStudy (rockinhood):

28.26

OpenStudy (anonymous):

Yes thats right

OpenStudy (anonymous):

So now we can fill in the equation V = B • h Now we have V = 28.26 • 6

OpenStudy (rockinhood):

169.56

OpenStudy (rockinhood):

/ 3.14 = 54

OpenStudy (rockinhood):

Is that right?

OpenStudy (anonymous):

Yes

OpenStudy (anonymous):

Now for the last problem. Probably the most confusing of them all

OpenStudy (anonymous):

So we have a rectangular prism as well as half of a cylinder

OpenStudy (rockinhood):

I say rectangular prism first? If it's V = B x L x H, I think it's 9 x 11 x 6

OpenStudy (rockinhood):

That's 594, so it rules out option A.

OpenStudy (anonymous):

Thats right

OpenStudy (anonymous):

And right again

OpenStudy (anonymous):

So we need to find the ungiven measurements of the half cylinder

OpenStudy (rockinhood):

What if we were to cut the top shape in half and just solve as a cylinder? That would work, right?

OpenStudy (anonymous):

Well we could do that but for the sake of the problem it will be easier to solve it as a half cylinder

OpenStudy (anonymous):

We need to find the height which corresponds with the length of the rectangle

OpenStudy (anonymous):

The answer is 11

OpenStudy (anonymous):

Now we need to find the base of the cylinder and half it the diameter of the circle is 9

OpenStudy (anonymous):

Are you still here?

OpenStudy (anonymous):

The answer to the last question is 705. GTG good luck

OpenStudy (rockinhood):

Ok, I got 4/5 here are the right answers 1. B. 1,255.7 yd^3 2. B. $70.58 3. A. 7 in 4. C. 54 (pi) in.^3 5. D. 944 mm^3

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