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# Math L2

### SAT Math

Distance Time/Rate
Work Done Rate of Work x Time
Average Speed Total Distance/Total Time
Area of an Equilateral Triangle [s^2 rt(3)]/4
Area of a Triangle (ab sin x)/2
Area of a Parallelogram ab sin x
Area of a Square d^2/2
Area of a Trapezoid h(b1+b2)/2
Sum of Angles in a Polygon with n sides 180(n-2)
Sector Area (degree/360)
Arc Circumference (degree/360)
SA of Cub 6s^2
Face Diagonal of a Cube s rt(2)
Long Diagonal of a Cube s rt (3)
Volume of Cylinder pi r^2 h
SA of Cylinder 2 pi r^2 + 2 pi rh
Volume of a Cone (pi r^2 h)/3
SA of a Cone pi rl + pi r^2, where l = slant height
Volume of a Sphere 4/3 pi r^3
SA of a Sphere 4 pi r^2
Volume of a Pyramid Bh/3
Distance Formula rt[(x2-x1)^2+(y2-y1)^2] OR rt[(x2-x1)^2+(y2-y1)^2+(z2-z1)^2]
Midpoint [(x1+x2)/2, (y1+y2)/2]
Parabola Axis of symmetry x=b/2a
Parabola Vertex x-coordinate -b/2a
Standard Form of Equation of Circle (x-h)^2+(y-h)^2=r^2
General Equation of an Ellipse (x-h)^2/a^2 + (y-k)^2/b^2 = 1, where (h,k) is the centre of the ellipse, the width is 2a and the height is 2b.
General Equation of a Hyperbola (x-h)^2/a^2 - (y-k)^2/b^2 = 1
Sine Law sinA/a = sinB/b = sinC/c
Cosine Law c^2=a^2+b^2-2ab cosC
Polar Coordinates (r,theta)
Standard Deviation A measure of the set's variation from its mean
Probability # outcomes that are x / total number of possible outcomes
nth term of an arithmetic sequence an=a1+(n-1)d
Permutation An arrangement of objects in a definite order
Combination Groupings in which order is not important
Group Problem Formula Total = Group 1 + Group 2 + Neither - Both
Sum of the First n Terms of an Arithmetic Sequence n[(a1+a2)/2]
Summation (or series) is a list of numbers to be added together; first plug in thee number before the sigma, then do the same for every integer p to the number above the sigma. Add up the results.
The nth Term of a Geometric Sequence an = a1 r^(n-1)
Sum of the First n Terms of a Geometric Sequence [a1 (1-r^n)]/(1-r)
Sum of an Infinite Geometric Sequence a1/(1-r) for -1<r<1
Created by: stellarxo
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