Math 3 EOC Prep 1

Front

What is the formula for compound interest?

Back

A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest. P is the principal amount (the initial deposit), r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the number of years the money is invested or borrowed.

Front

How do you calculate the period of a cosine function y = a cos(bx)?

Back

The period is given by the formula: Period = 2π/|b|. For y = 4cos(5x), the period is 2π/5.

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect. It is also the center of mass of the triangle.

Front

What is the measure of an angle in a triangle if the other two angles are 75° and 90°?

Back

The measure of the third angle is 15°, since the sum of angles in a triangle is 180°.

Front

How do you find the measure of an arc in a circle?

Back

The measure of an arc can be found using the formula: Arc Measure = (Central Angle/360) * Circumference of the Circle.

Front

What is the formula for the circumference of a circle?

Back

Circumference = 2πr, where r is the radius of the circle.

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, the sum of the two non-right angles is always 90°.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is the difference between the circumcenter and the centroid of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides intersect, while the centroid is the point where the medians intersect.