Question

4700=2[3960cos^-1(3960/a+3960)]

solve for a

HELP ME

Answer 1

This?\[
4700=2\cdot 3960\cos^{-1}\left(\frac{3960}{a+3960}\right)
\]

Answer 2

Yes, that is the question that I am struggling with. Here is a diagram if it helps

Answer 3

Okay \[
\cos\left(\frac{4700}{2\cdot 3960}\right)=\frac{3960}{a+3960}
\]

Answer 4

\[
a\cos\left(\frac{4700}{2\cdot 3960}\right)+3960\cos\left(\frac{4700}{2\cdot 3960}\right)=3960
\]\[

a = \frac{3960\left(1-\cos\left(\frac{4700}{2\cdot 3960}\right)\right)}{\cos\left(\frac{4700}{2\cdot 3960}\right)}
\]

Answer 5

A little algebra is all you need.

Answer 6

The equation was actually supposed to be \[4700=2(3960\cos^{-1} (\frac{ 3960 }{ A+3960 }))\]

Answer 7

Thanks for helping me by the way

Answer 8

No problem

Answer 9

Since multiplication is associative, I could take away the parenthesis.

Answer 10

Hold on let me solve that, im not sure my answer will be correct

Answer 11

816.36?

Answer 12

u are right
it is 816.69 miles
@nathanhome