Polynomials
The product of (x-2) and (x+5) is
x2 + 3x - 10
The sine coordinate of the angle 210o is
-1/2
the central angle of a circle is 42o, what is the measure of the arc that the angle creates?
42o
If 2 sides and the angle between them of one triangle are congruent to 2 sides and the angle between them of another triangle then the triangles are congruent by
SAS (side angle side)
What is the probability of getting a heart or a queen when you select one card from a regular deck?
16/52 or 4/13
The perimeter of a triangle is 10x2 - 6x + 1
2 sides are 8x2 - 4x and 5x + 7, the length of the the third side is
2x2 - 2x - 6
The short side of a 30-60-90 triangle is 7, what is the length of the hypotenuse
14
2 arcs on a circle are 44o and 68o, what is the measure of the interior angle created by the 2 arcs?
66o
2 triangles ABC and RST are similar. If AB is 5, RS is 15, and BC is 12, what is ST?
36
What is the probability of getting a sun of 6 when rolling 2 dice?
5/36
The area of a rectangle is x2 + 7x + 12, the length and width are
(x+4) and (x+3)
The long side of a 30-60-90 triangle is 12, what is the short side
4 square root 3
2 arcs on a circle are 200o and 70o, what is the measure of the exterior angle the arcs create?
65o
You are 5 and half feet tall with a shadow of 8 feet. How tall is a water tower with a shadow of 160 feet
What is the expected value of the following:
a spinner with equal sections marked 2, 5, -4, 0, 1
4/5
The volume of a rectangular prism is 14x2 + 35x + 21
the length is (2x+3) and the height is 7, the width is
(x+1)
A tree is 12 feet tall. You want to place a rope from the top of the tree to the ground at a 25o angle for zip lining. How long does the rope need to be?
28.4 feet
An inscribed angle that is created by a semicircle (attached to a diameter) always measures what
90o
If 2 angles and a side not between them of 1 triangle are congruent to 2 angles and a side not between them of another triangle, how are the triangles congruent
AAS (angle, angle, side)
To be considered a fair game, the expected value must be
0
The area of a parallelogram is 2x2 - 4x - 6, the length and width are
(2x - 6) and (x + 1)
The hypotenuse of a 45-45-90 triangle is 6, what are the lengths of the legs?
3 square root 2
Given the function of a circle (x-1)2 + (y+4)2 = 36, what is the center and radius of the circle
center (1,-4) radius 6
What theorem is allowed for similar triangles, but not congruent triangles?
AA (angle angle)
How do we know that the theoretical probability of something happening is correct