Triangles
A triangle has two angles that measure 65 degrees and 45 degrees. What is the measure of the third angle?
70 degrees
What's area
The amount of space inside a two-dimensional shape
In a right triangle, which trigonometric ratio represents the ratio of the adjacent side to the hypotenuse?
Cosine
simplify, a radical of 75
5 radical 3
A shipping box measures 8 cm long, 5 cm wide, and 10 cm high. What is the volume of the box?
400cm cubed
Formula for Area of a triangle
Area= 1/2 x base x height
What's the formula for a square and rectangle in area?
Area = length x width
In a right-angled triangle, the side adjacent to angle 0 is 6 cm and the hypotenuse is 10 cm. What is the value of angle 0?
5cm
2 radical 2+ 4 radical 2
6 radical 2
You have a set of wooden children's blocks that are perfect cubes. If each edge of a block is 4 cm long, what is the volume of one block?
64cm cubed
8 cm
How to solve for the area of a circle
Multiply pi by the radius pi r 2.
A kite is flying on a 300 foot string. The string makes an angle of 65 degrees with the ground. How high is the kite off the ground?
271.9 degrees
10 radical 3- 6 radical 6
4 radical 6
A cylindrical soup can has a base radius of 3 inches and a height of 5 inches. What is the total volume of the can?
141.37 cubic inches
An isosceles triangle has a vertex angle of 50 degrees. What is the measure of each base angle?
60 degrees
A parallelogram-shaped tile has a base of 14 centimeters and a perpendicular height of 8 centimeters. What is its area?
112cm squared
You are standing 100 feet away from the base of a building. The top of the building is exactly 100 feet high. What is the angle of elevation from the ground to the top of the building?
45 degrees
radical 6 x radical 8
4 radical 3
Formula for volume in a rectangular prism?
V = l x w x h
Triangle DEF is similar to triangle XYZ. In triangle DEF, the sides are 3 cm, 4 cm, and 5 cm. If the shortest side of triangle XYZ is 9 cm, what is the scale factor from DEF to XYZ?
3
A rectangular garden beds measures 12 meters in length and 7 meters in width. What is its total area?
84m squared.
A 12-foot ladder is leaning against a wall, making a 60 degree angle with the ground. How high up the wall does the ladder reach?
10.4 feet
radical 75 to a decimal
8.66
A spherical playground ball has a radius of 7 inches. What is the volume of the ball?
V ≈ 1436.76in cubed