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Space Race
Defend Earth from alien invaders
Number of degrees in a circle
360

Number of degrees in a straight line
180

Area of a triangle
(1/2)(b)(h)

An isosceles triangle has...
two equal sides and two equal angles

(f) Area of a parallelogram
(b)(h)

(f) Area of a circle
(π)(r²)

(f) Circumference of a circle
(2)(π)(r)

(f) Volume of a rectangular solid
(l)(w)(h)

(f) Volume of a cube
s³

(f) Volume of a cylinder
(π)(r²)(h)

ratio for sides of a 30-60-90 triangle
x-x√3-2x

ratio for sides of a 45-45-90 triangle
x-x-x√2

(f) Pythagorean theorem
a²+b²=c²

Degrees of a x-x√3-2x triangle
30-60-90

Degress of a x-x-x√2 triangle
45-45-90

(f) Sum of interior angles of a polygon
180(n-2) n=number of sides

Definition of RATE
distance/time OR amount of work/time

Definition of MEAN
the average

Definition of MODE
the number that occurs most frequently

Definition of MEDIAN
the middle number

Definition of CONVEX POLYGON
A polygon with interior angles that measure less than 180 degrees.

(f) Perimeter of a polygon
sum of the lengths of its sides

Name of the side of a triangle opposite the right angle
hypotenuse

What is a quadrilateral with two sides that are parallel?
trapezoid

(f) Area of a trapezoid
1/2 (sum of bases)(height)

What is a chord of a circle?
a line segment that has its endpoints on the circle

(f) Length of an arc of a circle
x / 360 x=angle between two circle radius

(d) A line that has exactly one point in common with circle
tangent

(d) What is an inscribed polygon?
Each vertex of the polygon lies on a circle

(d) What is a circumscribed circle?
A circle containing a polygon where each vertex of the polygon touches the circle

(d) What is a circumscribed polygon?
A polygon that has each side tangent to a circle. The circle is in the polygon.

(d) What is an inscribed circle?
A circle that is contained by a polygon. Each side of the polygon is tangent to the circle.

(d) What type of triangle can be inscribed in a circle so that one of its sides is a diameter of the circle?
A right triangle

(f) How do you determine the distance between 2 points in a coordinate plane?
Draw a triangle and use the Pythagorean theorem

(f) Formula for slope of a line
m=(y₁- y₂)/(x₁- x₂)

(d) What is the y-intercept?
The point where a line intersects the y-axis.

(d) What is the x-intercept?
The point where a line intersects the x-axis.

What direction does a negative line slope slant?
Downward from left to right

(f) Quadratic polynomial function and purpose
f(x) = x² - 1 Typically used to find coordinates (x, f(x))

(d) What is a proportion?
A statement that two ratios are equal. Ex. 2/3 is proportional to 8/12

(d) What is the range for a series of numbers?
The greatest value in the set minus the least value.

How do you determine the standard deviation for a set of numbers?
1 - Find the mean
2 - Find the differences between the mean and each of the n numbers
3 - Square each of the differences
4 - Find the average of the squared differences
5 - Take the nonnegative square root of the average

(d) Factorial n!
The product of all positive integers less than or equal to n i.e. (n)(n-1)(n-2)...(1)

Rule for multiplying exponents [ (x⁴)(x³)= ]
Add exponents (x⁷)

Rule for dividing exponents (x⁸ / x⁵=...)
Subtract exponents (x³)

Rule for raising to a power [ (x³)² =]
Multiply exponents (x⁶)

A fraction between 0 and 1 raised to a positive integer is...
smaller than the original fraction

(a√r )(b√s) =
(ab)(√(r s))

The square root of a fraction between 0 and 1 is...
greater than the original fraction

Is 0 Positive or Negative?
It is neither

How to find all common factors of two numbers
Break down both numbers to their prime factors to see what factors they have in common. Multiply shared prime factors to find all common factors

Simple Probability
(# of favorable outcomes)/(# of possible outcomes)

Gross Profit
Selling Price - Cost

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