Vertical angles are _______.
Draw a picture
Congruent
What is the following equal to:
sin 240
cos 2pi/3
-rad3/2
-1/2
Area of a sector and arc length formula
(x/360) pi r^2
(x/360) 2pi r
3 words/phrase associated with factors.
Zeros
x-intercepts
Solutions
Roots
What is standard deviation?
How far data are apart from each other.
Tangents and radii are ________.
Draw a picture.
Perpendicular
sin a = cos b if and only if what?
a + b = 90
Volume of:
Cylinder
Cone
Sphere
Cylinder: pi r^2 h
Cone: (1/3) pi r^2 h
Sphere: (4/3) pi r^3
List steps to find vertex given ax^2+bx + c = y.
Use -b/2a to find x value.
Plug in to find y value.
Create and label a normal distribution curve. Use symbols for mean and standard deviation.
Answers may vary.
What is the exterior angle theorem for a triangle?
Draw a picture.
The sum of the 2 remote interior angle is equal to the exterior angle.
In a 30-60-90 triangle, if the long leg is 9, find the 2 missing sides.
3 rad 3 and 6 rad 3
Percent of change formula
(New - Old)/Old
Given y = af(x - h) + k, what is a, h, and k tell you? Be precise.
a vertical stretch/compression. a < 0 is reflection on x-axis.
h is left and right but do opposite sign.
k is up and down and keep sign.
If a distribution is positively skewed, what do you know about the mean and median?
Median is greater than Mean.
If 2 figures are similar, what are the 2 conclusions that you can get?
Corresponding sides are proportional.
Convert from degree to radian and vice-versa.
a) 7pi/9
b) 215
a) 140
b) 43pi/36
Equation of a circle.
(x - h)^2 + (y - k)^2 = r^2
Evaluate i^54.
-1
Given mean = 25.3 and standard deviation = 3.1. if we add a value x = 12.1, describe what happens.
Mean decreases
Standard Deviation increases
Name all important angles when two lines are parallel and cut by a transversal and their relationshop.
Same-Side Interior Angles are supplementary.
Corresponding Angles are congruent.
Alternate Interior Angles are congruent.
The are of a square inscribed in a circle is 7. What is the area of the circle in terms of pi?
7pi/2
Compound Interest formula.
A = P(1 + r/n)^(nt)
What is the discriminant and what does it do?
b^2 - 4ac and it tells you the nature of your roots/answers/zeros.
b^2 - 4ac > 0 2 real
b^2 - 4ac < 0 0 real
b^2 - 4ac = 0 1 real
What is the difference between center vs spread?
When do you use mean/standard standard deviation vs 5-number summary?
Center is mean/median.
Spread how far things are apart.
Data is symmetric use mean/standard deviation.
When data is skewed, use 5-number summary and median.