Find the length of side x in simplest radical form with a rational denominator 60 30 x 2

x = √3

Step-by-step explanation:

Looking at the given triangle,

x is the adjacent side while 2 represents the hypotenuse side.

Now, from trigonometric ratios, we know that;

Adjacent/hypotenuse = cos θ

The angle here will be 30°

Thus;

x/2 = cos 30°

We are told to find x in simplest radical form with a rational denominator.

Thus means we will use the surf value of the angle.

cos 30° in surd form = (√3)/2

Thus;

x/2 = (√3)/2

x = 2 × (√3)/2

x = (√3)/1

x = √3

The probability that the worker earns more than $ 6.75 is 0.7108

Step-by-step explanation:

A normal random variable with mean Mu = 6.5 and standard deviation sd = 0.45 is standardized with the transformation:

Z = (X - Mu) / sd = (X - 6.5) / 0.45

For a value of $ 6.75, Z = (6.75 - 6.5) / 0.45 = 0.5556.

P (X > 6.75) = P (Z > 0.5556) = 0.7108.

The probability that the worker earns more than $ 6.75 is 0.7108