Right triangles i been having trouble with gemotrey lately

x = 11√3

y = 22

Step-by-step explanation:

In a 30-60-90 triangle, the hypotenuse is twice the shortest side.

y = 22

The long side is √3 times the short side.

x = 11√3

If you wish to use trigonometric functions:

sin 30° = 11 / y

1/2 = 11 / y

y = 22

tan 30° = 11 / x

1 / √3 = 11 / x

x = 11√3

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

correct answer is b. 27/8

step-by-step explanation: