Physics and Math Review

A triangle has angles measuring 30 and 60 degrees. Applying triangle postulates, what is the measure of the third angle?

What is the area of a circle with a circumference of $10\pi$?

Simplify the following radical expression: $\sqrt{32} + \sqrt{18}$

Solve for $x$: $2^{x+1} = 8$

Given $\sin(\theta) = \frac{3}{5}$ and $\theta$ is in the first quadrant, find $\cos(\theta)$ using trigonometric identities.

What is the median of the following set of numbers: 2, 3, 5, 7, 12?

If a coin is flipped twice, what is the probability of getting at least one head?

What is the result of factoring the polynomial $x^2 - 4x + 4$?

Solve for $x$: $3x + 5 = 2x - 1$

What is the mode of the following data set: 5, 5, 5, 6, 7, 7, 8, 9, 9, 10?

In a right triangle, the sides are 3, 4, and 5. Using SOHCAHTOA, what is the value of $\tan(\theta)$ if $\theta$ is the angle opposite the side with length 3?

Simplify: $(x^2)^3 * x^{-2}$

Two angles are supplementary. One angle measures 120 degrees. What is the measure of the other angle?

A father is three times as old as his son. In 12 years, the father will be twice as old as his son. How old is the son currently?

Which expression is equivalent to $4(x + 2) - (x - 3)$?

If a bag contains 3 red balls and 5 blue balls, what is the probability of drawing a red ball, not replacing it, and then drawing another red ball?

What is the value of $x$ in the equation: $5x-3 = 12$?

Which of the following is a simplified form of: $\frac{x^2 - 1}{x + 1}$?

Given the points (2, 3) and (5, 7), what is the equation of the straight line passing through these points?

What is the value of the expression $2(a + b)^2$ if $a = 3$ and $b = -1$?