Question

Find x.

A. 3
B. square root of 3
C. 9
D. square root of 6

Answer 1

\[\cos 30 = \frac{ x }{ 2\sqrt{3} } \]We also know that\[\cos 30 = \frac{ \sqrt{3} }{ 2 }\]So,\[\frac{ x }{ 2\sqrt{3} } = \frac{ \sqrt{3} }{ 2 }\]

Answer 2

Can you finish it from here, @chrissychris ?

Answer 3

how do you divide that or is that the final answer

Answer 4

It's not the final answer, you have to multiply both sides of the equation by:

(2)[sqrt(3)]

Are you able to do that?

Answer 5

no can you explain that please?

Answer 6

\[\frac{ x }{ 2\sqrt{3} } \times 2\sqrt{3} = \frac{ \sqrt{3} }{ 2 } \times 2\sqrt{3}\]\[x \times \frac{ 2\sqrt{3} }{ 2\sqrt{3} } = \frac{ 2\sqrt{3}\sqrt{3} }{ 2 }\]\[x \times 1 = \frac{ \cancel2\sqrt{3}\sqrt{3} }{ \cancel2 }\]

x = 3

Answer 7

All good now, @chrissychris ?

Answer 8

how does \[\sqrt{3} and \sqrt{3} \] =3?

Answer 9

The square root of 3 times the square root of 3 = 3

That follows from the definition of square root.

Answer 10

oh ok thanks

Answer 11

The square root of a number is that quantity that when multiplied by itself gives you back the original number.

Answer 12

ya thank you very much

Answer 13

haha ok

Answer 14

uw! Good luck in all of your studies and thx for the recognition! @chrissychris