EOC Math 3 Review

Front

What is the measure of an angle in radians when the x-coordinate of the terminal side on the unit circle is -1/2?

Back

The measure of the angle is approximately 4.189 radians.

Front

If Martha can paint a room in 2 hours and Jamie can paint it in 6 hours, how long will it take them to paint the room together?

Back

It will take them 1.5 hours to paint the room together.

Front

What inequality represents the acceptable weight range of a box of spaghetti that should weigh 32 ounces, with a tolerance of 0.25 ounces?

Back

Front

How do you find the volume of a solid formed by rotating a triangle about the line y = x?

Back

Use the formula for volume of revolution, applying the appropriate integration method.

Front

What is a random sample?

Back

A random sample is a subset of individuals chosen from a larger set, where each individual has an equal chance of being selected.

Front

What is the formula for the area of a triangle given its vertices?

Back

The area can be calculated using the formula: @@\text{Area} = \frac{1}{2} |x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)||@.

Front

What is the unit circle?

Back

The unit circle is a circle with a radius of 1 centered at the origin (0,0) in the coordinate plane.

Front

How do you calculate the combined work rate of two people working together?

Back

Front

What is the significance of the x-coordinate in determining the angle on the unit circle?

Back

The x-coordinate helps determine the cosine of the angle, which is essential for finding the angle's measure.

Front

What is the formula for the volume of a solid of revolution using the disk method?

Back