NC Math 3 EOC Questions

Front

What is the formula to convert degrees to radians?

Back

Radians = Degrees × (π / 180)

Front

What is the relationship between the diameter and radius of a circle?

Back

The radius is half of the diameter. (Radius = Diameter / 2)

Front

What is a central angle in a circle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides intersect the circle.

Front

How do you calculate the length of an arc in a circle?

Back

Arc Length = r × θ, where r is the radius and θ is the angle in radians.

Front

What is an observational study?

Back

An observational study is a type of research where the researcher observes and records behavior without manipulating any variables.

Front

What is the difference between an observational study and an experimental study?

Back

In an observational study, the researcher does not intervene, while in an experimental study, the researcher manipulates one or more variables.

Front

What is a sinusoidal function?

Back

A sinusoidal function is a function that describes a smooth, periodic oscillation, typically represented as f(x) = A sin(B(x - C)) + D.

Front

How do you determine the amplitude of a sinusoidal function?

Back

The amplitude is the maximum distance from the midline to the peak (or trough) of the wave.

Front

What is the inverse of a function?

Back

The inverse of a function f(x) is a function that reverses the effect of f, denoted as f^(-1)(x).

Front

How do you find the inverse of an exponential function?

Back

To find the inverse of f(x) = a^x, switch x and y and solve for y: y = log_a(x).