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Math Help - Rewriting Formula

  1. #1
    Senior Member vaironxxrd's Avatar
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    Rewriting Formula

    Hello forum, Vairon here.
    I'm having trouble rewriting any kind of formula but I can hopefully understand the first one and use it as reference.

    Solve for r
    C&=2&\pi&r
    I assume
    C/2r*pi should solve it
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  2. #2
    Super Member TheChaz's Avatar
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    Re: Rewriting Formula

    Not exactly. If you divide both sides by 2 \pi r, you get "1" on the right hand side, not r!

    So just divide by 2 \pi to get r = \frac{C}{2 \pi}
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    Senior Member vaironxxrd's Avatar
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    Re: Rewriting Formula

    Quote Originally Posted by TheChaz View Post
    Not exactly. If you divide both sides by 2 \pi r, you get "1" on the right hand side, not r!

    So just divide by 2 \pi to get r = \frac{C}{2 \pi}
    I feel proud I actually got it before the response thanks though btw just to know I'm doing everything right I got this one answered.

    Area of a triagle
    Solve for b : A&=\frac{1}{2}&bh

    I solved it : \frac{A}{\frac{1}{2}*h}&=b

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  4. #4
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    Re: Rewriting Formula

    b = \frac{2A}{h}
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    Senior Member vaironxxrd's Avatar
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    Re: Rewriting Formula

    Quote Originally Posted by skeeter View Post
    b = \frac{2A}{h}
    Will mine work?
    I tried plugin in the numbers and both formulas output the same number
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    Re: Rewriting Formula

    Quote Originally Posted by vaironxxrd View Post
    Will mine work?
    I tried plugin in the numbers and both formulas output the same number
    it'll work, but you're expected to be able to clear any fraction "inside" another fraction.
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  7. #7
    Senior Member vaironxxrd's Avatar
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    Re: Rewriting Formula

    Quote Originally Posted by skeeter View Post
    it'll work, but you're expected to be able to clear any fraction "inside" another fraction.
    I'm sorry to ask this but why is it 2?

    Flip and multiply?
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  8. #8
    Super Member TheChaz's Avatar
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    Re: Rewriting Formula

    Quote Originally Posted by vaironxxrd View Post
    I'm sorry to ask this but why is it 2?

    Flip and multiply?
    Roughly speaking, yes.
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  9. #9
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    Re: Rewriting Formula

    Quote Originally Posted by vaironxxrd View Post
    I feel proud I actually got it before the response thanks though btw just to know I'm doing everything right I got this one answered.

    Area of a triagle
    Solve for b : A&=\frac{1}{2}&bh

    I solved it : \frac{A}{\frac{1}{2}*h}&=b

    \displaystyle \begin{align*} A &= \frac{1}{2}bh \\ 2A &= 2\cdot \frac{1}{2}bh \\ 2A &= bh \\ \frac{2A}{h} &= \frac{bh}{h} \\ \frac{2A}{h} &= b \end{align*}
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  10. #10
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    Re: Rewriting Formula

    Quote Originally Posted by vaironxxrd View Post
    Solve for b : A&=\frac{1}{2}&bh
    or start off by multiplying both sides by 2:
    2A = bh ; then:
    b = 2A / h
    Done.
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