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Mathematics 15 Online
zepdrix (zepdrix):

test

zepdrix (zepdrix):

@adajiamcneal

zepdrix (zepdrix):

k whats up? :U

OpenStudy (adajiamcneal):

haha thanks lol

zepdrix (zepdrix):

oo this one is tricky +_+ thinking

OpenStudy (adajiamcneal):

ok lol

zepdrix (zepdrix):

So we start with a relationship like this: \(\Large\rm 3:16\) Hmm I know the answer, I just can't think of the right way to explain this :c So the ratio is 3 to 16. So the `3 times the length` of any side of the first figure, will correspond to `16 times the length` of a side of the second figure. fjdkaslfjasklfasd, anyway, to get area, we square things. to get volume, we cube things. side relations \(\Large\rm 3:16\) area relations \(\Large\rm 3^2:16^2\)

zepdrix (zepdrix):

volume relationship \(\Large\rm 3^3:16^3\)

zepdrix (zepdrix):

So which option do you think? :3

OpenStudy (adajiamcneal):

D?

zepdrix (zepdrix):

yay good \c:/

OpenStudy (adajiamcneal):

haha ok :) so far i have the rest but ill tagg you into a different post so you can get more medals :)

zepdrix (zepdrix):

pshh doesn't matter +_+

zepdrix (zepdrix):

medals, pshhh

OpenStudy (adajiamcneal):

hahaha i see what you did there. :) ill tagg you into another one lol

zepdrix (zepdrix):

seems like it'd just be easier to post them all in here, doesn't it? :D

OpenStudy (adajiamcneal):

ok then haha whatever makes it easier for you haha

OpenStudy (adajiamcneal):

idk what to do...the radius isnt a radius anymore haha

zepdrix (zepdrix):

I suppose it's a `diameter` now. Do you remember how radius relates to your diameter? What? Half of it? Yessss correct!

zepdrix (zepdrix):

So that will allows us to find our radius, ya?

OpenStudy (adajiamcneal):

ohhhhh duh

zepdrix (zepdrix):

Do you have a formula for lateral area of a cone handy or no? :)

zepdrix (zepdrix):

Google is telling me that it's:\[\Large\rm A_L=\pi r \sqrt{h^2+r^2}\]

zepdrix (zepdrix):

And we have all of the pieces, ya? r=120 h=50

OpenStudy (adajiamcneal):

so d?

zepdrix (zepdrix):

Hmm I don't think soooo.

zepdrix (zepdrix):

Plug the numbers in :O Use your calculator!

zepdrix (zepdrix):

\[\Large\rm A_L=\pi\cdot120 \cdot\sqrt{50^2+120^2}\]

OpenStudy (adajiamcneal):

i meant a i have no idea why i put d

zepdrix (zepdrix):

yay \c:/

zepdrix (zepdrix):

doing that awful online school garbage are you? <.<

OpenStudy (adajiamcneal):

yes i am haha

OpenStudy (adajiamcneal):

do i just multiply 12 and 12 and 9 or do something else? my brain is not working rn

zepdrix (zepdrix):

Yes, you have the right idea. But notice that the dimensions `do not match`. Some of them are in feet, and another one is in inches, ya?

OpenStudy (adajiamcneal):

greeeat but i know how to fix that :)

OpenStudy (adajiamcneal):

nevermind i lied to you do i just convert the feet to inches?

zepdrix (zepdrix):

As strange as this sounds, I think it'll be easier to convert the inches to feet.

zepdrix (zepdrix):

So 9 inches, a foot is 12 inches. 9/12 is how much?

OpenStudy (adajiamcneal):

3 quarters :D

OpenStudy (adajiamcneal):

.75 haha

zepdrix (zepdrix):

Mmm k good, so we want to use the 12, 12 and 0.75 for our multiplication. That will get us through half of the problem, that is the volume that we have.

OpenStudy (adajiamcneal):

i got 108.

zepdrix (zepdrix):

Ok so we have 108 `cubic feet` of concrete. It costs $54 for each `cubic yard` of concrete. So we simply multiply the `price per cubic unit` with the `number of cubic units` and that will tell us the total price. But notice! Our units don't match again, right? :(

OpenStudy (adajiamcneal):

why do you do this to me? lol so what do we do?

zepdrix (zepdrix):

This step is going to be rather tricky. We need to convert our feet to yards, or our yards to feet. Let's convert our feet to yards, I think it will make more sense.

zepdrix (zepdrix):

\[\Large\rm 108(\color{orangered}{ft})^3\]There are 3 feet in a yard, so what is `one foot` in relation to yards?

zepdrix (zepdrix):

\[\Large\rm 3ft=1yd\]If I divide by 3,\[\Large\rm 1ft=\frac{1}{3}yd\]Since 3 feet is 1 yard, that means that 1 foot is a third of a yard, k? :o

zepdrix (zepdrix):

So we're going to try and convert our units to yards,\[\Large\rm 108\left(\color{orangered}{ft}\right)^3=108\left(\color{orangered}{\frac{1}{3}yd}\right)^3\]I replaced the 1 foot with 1/3 of a yard.

zepdrix (zepdrix):

This is the part that gets trickyyyyy :( Notice we didn't simply have feet, we have `cubic feet`. So we need to cube our 1/3.

zepdrix (zepdrix):

\[\Large\rm 108\left(\color{orangered}{ft}\right)^3=108\left(\color{orangered}{\frac{1}{3}yd}\right)^3=108\cdot\frac{1}{27}yd^3\]Understand what I did there? +_+ lil bit? maybe?

zepdrix (zepdrix):

brain esplode?

OpenStudy (adajiamcneal):

i have no idea what you just did. i honestly think my brain is broken rn haha

zepdrix (zepdrix):

To convert from `feet` to `yards` we normally divide by 3. But since we have cubic units, to convert from `cubic feet` to `cubic yards` we instead divide by 3^3, which is 27.

OpenStudy (adajiamcneal):

i got 29.16 ?

zepdrix (zepdrix):

We want to divide our 108 by 27 to get the cubic yards of our concrete.

OpenStudy (adajiamcneal):

now i got 4

zepdrix (zepdrix):

Ok good, so we have `4 cubic yards of concrete`. And the charge is `$54 for each cubic yard of concrete`.

zepdrix (zepdrix):

So now it's simple multiplication from here! :)

OpenStudy (adajiamcneal):

$216 :) My life <3 i think im overcoming my biggest obsticle in life hahaa jk

zepdrix (zepdrix):

yay good job \c:/ honestly though, that problem is quite difficult for your level. It was like 5 steps or something; you had to convert units twice... you shouldn't worry about getting a problem like that correct most of the time :P

zepdrix (zepdrix):

Ooo they put National Treasure up on Netflix! :O

OpenStudy (adajiamcneal):

i got 73.3% on my test :) haha go watch your show thank yuo so much for helping me honestly if i did it by myself i wouldv gotten and f

zepdrix (zepdrix):

73? Ok that's not too bad :O

OpenStudy (adajiamcneal):

Yeah i know :) haha thank you :D i dont want to bother you any more though have a good night and watch your show. unless you want to just talk it doesnt matter hah

zepdrix (zepdrix):

sophomore huh? Just a baby still! :) idn't dat cute

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