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anonymous
 3 years ago
:)
anonymous
 3 years ago
:)

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Is this actually a physics or math project or just a question asking for you to solve for the variable "t"?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0you can use basic algebra to solve for t by isolating it, but it will be an equation using L. But that might be all you need to do... sort of depends on what the purpose of this question is.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0just have to solve for t.. i think :/ sorry my computer is lagging!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[L = \frac{ 980t^{2} }{ 4\pi^{2} }\]

phi
 3 years ago
Best ResponseYou've already chosen the best response.1here is an example http://www.khanacademy.org/math/algebra/solvinglinearequationsandinequalities/v/solvingforavariable The first step is multiply both sides by 4\(\pi\). Can you do that?

phi
 3 years ago
Best ResponseYou've already chosen the best response.1The first step is multiply both sides by 4\(\pi^2\). Can you do that?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0hmm, not really.. :///

phi
 3 years ago
Best ResponseYou've already chosen the best response.1write \(4 \pi^2\) times on both sides of the equation

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0like i dont understand it because it has the pi? :/ i suck at math

phi
 3 years ago
Best ResponseYou've already chosen the best response.1pi is just a number if you multiply both sides by 4 pi^2 you get \[ 4 \pi^2 L = 4 \pi^2 \cdot \frac{980 t^2}{4 \pi^2}\]

phi
 3 years ago
Best ResponseYou've already chosen the best response.1now use a simple rule: if you see something divided by itself , it becomes 1. Does that ring a bell? It makes the right side "simplify"

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ahhh, this is confusing to me

phi
 3 years ago
Best ResponseYou've already chosen the best response.1Here are some examples \[ 3\cdot \frac{4}{3} = \frac{3\cdot 4}{3}= \frac{\cancel{3}\cdot 4}{\cancel{3}}=4\]

phi
 3 years ago
Best ResponseYou've already chosen the best response.1do you see anything in your problem that "cancels"?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yeah, i get that but it has the pi in the one im doing? :/

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so the pi would cancel out?:S:/

phi
 3 years ago
Best ResponseYou've already chosen the best response.1\[ 4 \pi^2 L = \cancel{4 \pi^2} \cdot \frac{980 t^2}{\cancel{4 \pi^2}} \]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yeaah, thats what i thought :))

phi
 3 years ago
Best ResponseYou've already chosen the best response.1it is a good rule to remember. now multiply both sides by \(\frac{1}{980} \)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0one over what? i can't read that:((

phi
 3 years ago
Best ResponseYou've already chosen the best response.1first write it down: \[ 4 \pi^2 L \cdot \frac{1}{980}= 980t^2 \cdot \frac{1}{980} \]

phi
 3 years ago
Best ResponseYou've already chosen the best response.1the 980's cancel on the right side, right? (that is why we did this) we get \[ t^2 = \frac{4\pi^2 L}{980} \] Do you see how we did that?

phi
 3 years ago
Best ResponseYou've already chosen the best response.1the 4 pi^2 L is on the top, and when we multiply fractions, it is top times top and bottom times bottom

phi
 3 years ago
Best ResponseYou've already chosen the best response.1\[ \frac{4 \pi^2 L}{1} \cdot \frac{1}{980} = \frac{4 \pi^2 L\cdot 1}{1 \cdot 980} = \frac{4 \pi^2 L}{980}\]

phi
 3 years ago
Best ResponseYou've already chosen the best response.1I would simplify by dividing the top by 4, and the bottom by 4. Can you do that?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0all of the top?:S i dont know how to simplify because the pi is there? do i use 3.14?:/

phi
 3 years ago
Best ResponseYou've already chosen the best response.1leave pi alone. if you divide the top by 4 it is doing this \[ \frac{\cancel{4}\pi^2L}{\cancel{4}}\]

phi
 3 years ago
Best ResponseYou've already chosen the best response.1now divide the bottom by 4: 980/4 is 245 we get \[ t^2= \frac{\pi^2 L}{245} \]

phi
 3 years ago
Best ResponseYou've already chosen the best response.1do you know how to "solve" for t?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0multiply both sides by 245?:S

phi
 3 years ago
Best ResponseYou've already chosen the best response.1if you multiply both sides by 245 you would get a 245t^2 (making it more "complicated" ) Have you heard of a square root?

phi
 3 years ago
Best ResponseYou've already chosen the best response.1square roots are how you "undo" squares: \[ \sqrt{x^2}= x\]

phi
 3 years ago
Best ResponseYou've already chosen the best response.1I would take the square root of both sides

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0can you draw it out for me so i can see what you mean? it makes more sense when you do that:D

phi
 3 years ago
Best ResponseYou've already chosen the best response.1I've noticed it's easier to do work when someone else is doing it, too. try, it won't hurt

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0it really does help when someone else shows you, but ill draw it on here to see if im right :) im prob not thou ...haha

phi
 3 years ago
Best ResponseYou've already chosen the best response.1Just draw a big square root over each side

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1354152167387:dw

phi
 3 years ago
Best ResponseYou've already chosen the best response.1yes, by the t^2 is inside the root sign. and so is the 245. now use the idea that sqrt(x^2) is x so sqrt(t^2) is ?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0245? haha.. im not sure :/ or 15? :S

phi
 3 years ago
Best ResponseYou've already chosen the best response.1no, not a number. square root of x*x is x square root of t*t is t (I guess you have to memorize that) we get \[ t= \sqrt\frac{ \pi^2 L}{245} \]

phi
 3 years ago
Best ResponseYou've already chosen the best response.1now, you can "simplify" (just to show off how much math you know) use the rule that sqrt(a * b) is the same as sqrt(a) * sqrt(b) so the top is sqrt(pi^2) * sqrt(L) you can simplify sqrt(pi^2) , right?

phi
 3 years ago
Best ResponseYou've already chosen the best response.1use the same rule as for sqrt(x^2) (or sqrt(t^2) for that matter)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i dont understand when you say sqrt)x^2) really..

phi
 3 years ago
Best ResponseYou've already chosen the best response.1we start with \[ t= \sqrt\frac{ \pi^2 L}{245} \] we can "break up" the square root by separating it: \[ t = \frac{ \sqrt{\pi^2}\sqrt{L}}{\sqrt{245}} \] the rule "sqrt(x^2) = x means when you see "something" to the 2nd power inside a square root , you can replace it with just "something" There is a good reason to learn this, but first what is \[ \sqrt{\pi^2} \] ?

phi
 3 years ago
Best ResponseYou've already chosen the best response.1or, another way to think of it, sqrt undoes the square

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ooh, that kinda makes more sense. what do you mean what is it?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0or sqaure root pie? :S

phi
 3 years ago
Best ResponseYou've already chosen the best response.1sqrt(pi^2) is not pi^2 (that would mean sqrt is doing nothing) sqrt(pi^2) is not sqrt(pi) (that would mean pi^2 is the same as pi) sqrt(pi^2) "makes the square go away"

phi
 3 years ago
Best ResponseYou've already chosen the best response.1if \[ \sqrt{x^2}= x\] and \[ \sqrt{t^2}=t\] what is \[ \sqrt{\pi^2}= ?\]

phi
 3 years ago
Best ResponseYou've already chosen the best response.1yes, so now you have \[ t = \frac{ \sqrt{\pi^2}\sqrt{L}}{\sqrt{245}} \] \[ t = \frac{ \pi\sqrt{L}}{\sqrt{245}} \] finally we can rewrite sqrt(245) as sqrt(5*7*7) or \[ \sqrt{7^2}\cdot \sqrt{5} \] do I dare ask what is sqrt(7*7)?

phi
 3 years ago
Best ResponseYou've already chosen the best response.17*7 = 49 but sqrt(7*7) is 7 (or sqrt(49) is 7) 7*7 is 7^2 and the square root undoes the square.

phi
 3 years ago
Best ResponseYou've already chosen the best response.1we now have \[ t = \frac{ \pi\sqrt{L}}{\sqrt{245}} \] \[ t = \frac{ \pi\sqrt{L}}{7\sqrt{5}}

phi
 3 years ago
Best ResponseYou've already chosen the best response.1\[t = \frac{ \pi\sqrt{L}}{7\sqrt{5}} \]

phi
 3 years ago
Best ResponseYou've already chosen the best response.1The last step. People (why?) do not like sqrt in the denominator, so we multiply top and bottom by sqrt(5) \[ t = \frac{ \pi\sqrt{L}}{7\sqrt{5}}\cdot \frac{\sqrt{5}}{\sqrt{5}}= \frac{ \pi\sqrt{5L}}{35}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0wow, that is a loooot of work!! but thank you so much.. when i reread over it tomorrow, i'll prob be awesome at it ;) haha....ill prob get it! :D are you a teacher?

phi
 3 years ago
Best ResponseYou've already chosen the best response.1The reason you learn this is to 1. See if you *can* learn it. 2. If you can learn it, it changes how you think (in a good way)

phi
 3 years ago
Best ResponseYou've already chosen the best response.1I am an engineer for a living..
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