A 30-60-90 triangle's leg opposite the 30 degree angle is 4 units long. How long is the leg opposite the 60 degree angle?
4 sqrt(3)
100
How many degrees are in a circle?
360
100
Robert wants to build a triangular garden. Two of the sides are 12 feet and 17 feet. What is a possible length of the 3rd side?
a. 29 ft.
b. 30 ft.
c. 15 ft.
d. 5 ft.
C. 15 ft.
100
What is the sum of the interior angles in a quadrilateral?
360
100
What order should these statements appear in?
1. If Mr. French is hungry, then he will eat an apple.
2. If Mr. French doesn't have breakfast, then he will be hungry.
3. If Mr. French eats an apple, then he will be healthier.
2, 1, 3
200
A 45-45-90 right triangle has a hypotenuse that is 10 units long. How long are the legs?
5 sqrt(2)
200
What kind of arc takes up more than 180 degrees of the cirlce?
A major arc
200
A cylindrical tank has a diameter of 16 ft. and a height of 12 feet. What's the surface area?
320pi
200
How many sides does a hexagon have?
6
200
When we reflect a figure across the y-axis, what happens to the coordinates?
(x,y) --> (-x,y). Change the sign of the x-coordinate.
300
Using SohCahToa, write out the formula for Tangent.
tangent = opposite / adjacent
300
A circle has a radius of 8 meters. What is the area of one fourth of the whole circle?
16pi
300
A pyramid with a square 3x3 foot base has an altitude of 9 ft. What's the volume?
27 cubic feet.
300
What happens to the perimeter of a rectangle when the length decreases from 12 cm to 8 cm?
The perimeter decreases by 8 cm.
300
What is the distance between the points (3,4) and (6,7)?
D = 3 sqrt(2)
400
What's true about the two acute angles in a right triangle?
They are complementary --> they add up to 90 degrees.
400
the measure of an arc is _____________ the measure of an inscribed angle
double (twice as big)
400
What happens to the volume of a cube when I triple the length of each side?
It increases by a factor of 27.
400
A rectangle is dilated with scale factor 2. What happens to the area?
Area increases by a scale factor of 4.
400
An inscribed angle in a circle measures 60. What is the measure of its arc?
120 degrees.
500
If one of the acute angles in a right triangle is 37 degrees, what is the measure of the other acute angle?
53 degrees
500
An arc has a central angle of 40 and a radius of 9. What is the length of the arc?
2pi
500
A cube has a volume of 125 cubic feet. What's the length of each side?
5 ft.
500
What kind of triangle has 3 sides of different length?
Scalene
500
If a rectangle is dilated by a scale factor of 3, how is the area affected?
a. the area stays the same
b. the area is 3 times as big
c. the area is 9 times as big
d. the area is 27 times as big