Question

Solve the proportion.

Answer 1

\[2/x=\sqrt3+1/5\]

Answer 2

\[\text{Is this the problem? }\frac{2}{x} = \frac{\sqrt{3} + 1}{5}\]

Answer 3

yes

Answer 4

Cross multiply.
\[2(5) = x(\sqrt{3} + 1)\]

Answer 5

10=2.73

Answer 6

\[x = \frac{10}{\sqrt{3} + 1}\]

Answer 7

now what?

Answer 8

You can use a calculator to simplify that or if you want it in exact form:
\[x = \frac{10}{\sqrt{3} + 1} \times \frac{\sqrt{3} - 1}{\sqrt{3} - 1} = \frac{10\sqrt{3} - 10}{2} = 5\sqrt{3} - 5 \space or \space5(\sqrt{3} - 1)\]

Answer 9

that equals 3.66

Answer 10

am i correct?

Answer 11

Yes.

Answer 12

ty can you help with the one I just posted?