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Gravity
Terms in this set (70)
Area of a Triangle
A = (1/2)(b)(h)
Area of a Circle
Circumference of Circle
Perimeter of a Square
P = 4(s)
Area of a Square
Area of a Trapazoid
a and b are the two bases
Area of a Rectangle
A = (l)(w)
Perimeter of a Rectangle
Properties of a Rectangle
-4 right angles; -Diagonals bisect each other and are congruent; -Opposite sides are equal
Similar Triangles
corresponding angles are equal, corresponding sides are proportionate
Pythagorean Theorem
Sine Ratio
SOH
Cosine Ratio
CAH
Tangent Ratio
TOA
Distance Formula
Midpoint Formula
Slope Formula
Slope-Intercept Formula
Multiplying Terms with Exponents
add the exponents
Dividing Terms with Exponents
subtract the exponents
Distributing Exponents
multiply the exponents
Negative Exponent
take the reciprocal and change the exponent to positive
Positive Slope
Negative Slope
Volume of a Cube
V = s
s
s
Volume of a Rectangular Solid
Surface Area of a Cube
Surface Area of a Rectangular Solid
Parallel Lines
same slope, different y intercept, no points in common
Secant Ratio - sec(A)
1/cos(A) = Hypotenuse/Adjacent
Cosecant Ratio - csc(A)
1/sin(A) = Hypotenuse/Opposite
Cotangent Ratio - cot(A)
1/tan(A) = Adjacent/Opposite
Tan(A)
Sin(A)/Cos(A)
Percent Change
% change = [(new value - old value)/ old value] x 100
what percent
x/100
is
=
the product of
* (multiplication)
the sum of
+ (addition)
(positive)*(negative)
= (negative)
(negative)*(negative)
= (positive)
Geometric Sequence
r = common ratio between terms (multiply or divide)
Arithmetic Sequence
d = common difference between terms (add or subtract)
Isosceles Triangle
two angles are equal, two sides are equal
Equilateral Triangle
three angles are equal (60 degrees), three sides are equal
Hypotenuse
Longest side in a right triangle, opposite the right angle
Pythagorean Triples
3, 4, 5 ; 5, 12, 13 ; 8, 15, 17 ; 7, 24, 25
Mean (average)
= (sum of values) / (# of values)
Median
middle number - put all numbers in order and pick the middle number
Mode
the number that occurs the MOST
Angles in a Triangle
the three interior angles add to 180 degrees
Y Intercept
y = mx +b (y intercept is b; when x = 0 what is y; where a line crosses the y axis)
Slope
change in y / change in x; rise / run
Permutations & Combinations
Use the dash method (ex. _____
_____
_____ )
Distributing
Properties of an Isosceles Trapezoid
-opposite sides are equal; -top two angles are congruent; -bottom two angles are congruent; -diagonals are congruent
Triangle Side Lengths
A side length of a triangle is: (1) greater than the other two sides subtracted; (2) less than the sum of the other two sides
Perpendicular lines
1 point in common, form a right angle, slope are negative reciprocals (i.e. 2/3 and -3/2)
Radians to Degrees
Multiply by (180/pi) or (pi/180) to change the units
180 degrees, 360 degrees
pi radians, 2*pi radians
Sin^2 + Cos^2 = 1
1 - Sin^2 = Cos^2, 1 - Cos^2 = Sin^2
Weighted Average
[(Av 1)(# 1) + (Av 2)(# 2) + (Av 3)(# 3) + (Av 4)(# 4)] / (# of items)
Equation of a Circle
(h, k) - center of the circle, r = radius
Equation of an Ellipse
(h, k) - center of the circle, a = x radius, b = y radius
Probability Equation
(Number of desired outcomes) / (Total number of outcomes)
Probability 2 events (AND)
Probability 1 * Probability 2 ( multiply)
Probability 2 events (OR)
Probability 1 + Probability 2 (ADD)
Factors
smaller numbers that evenly go into a larger number (i.e. For the number 12 here are the factors: 1, 2, 3, 4, 6, 12)
Multiples
larger than the number (i.e. For the number 12 here are the factors: 12, 24, 36, 48, ... )
Least Common Multiple (LCM)
Greatest Common Factor (GCF)
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