I am studying for a test and need a variable of a equation isolated to one side.
The equation is:
t/360 = s/2pr
I need the variable r by itself.
How would I go about doing this?
Thanks!
Ok there are a few ways you could do this, so I'll just pick one.
You have $\displaystyle \frac{t}{360}=\frac{s}{2pr}$
Let's cancel out the 2pr in the denom. of the RHS by multiplying everything by 2pr.
Thus $\displaystyle 2pr \times \frac{t}{360} = s$
Let's use parentheses though to show the multiplication (just to be more formal)
$\displaystyle (2pr) \left( \frac{t}{360} \right) = s$
Follow?
Now let's rearrange some terms to get r alone. The above equation is equal to.
$\displaystyle (r) \left( \frac{2pt}{360} \right) = s$
Now this next part might seem tricky to you. We are really one step away from isolating r. We must simply divide by $\displaystyle \frac{2pt}{360}$ and on the LHS we will just have r and on the RHS we'll get the rest of the terms. So...
Can you simplify the rest?
$\displaystyle r = \frac{s}{\left( \frac{2pt}{360} \right)}$
$\displaystyle \dfrac{t}{360} = \dfrac{s}{2pr}$
$\displaystyle \dfrac{2tpr}{360} = s$
$\displaystyle \dfrac{tpr}{180} = s$
$\displaystyle tpr= 180s$
$\displaystyle r= \dfrac{180s}{pt}$