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Math Formulas
Term | Definition |
---|---|
Slope-Intercept Form | y=mx+b m=slope b=y-intercept |
Area of a Triangle | 1/2 bh |
Area of a Square or Rectangle | l*w |
Area of a Parallelogram | b*h |
Area of a Trapezoid | 1/2 (a+b)h a=base b=top h=height |
Interior Angle Sum of a Triangle | 180 |
Interior Angle Sum of Quadrilaterals | 360 |
Interior Angle Sum of Polygons | (n-2)180 n=number of sides |
Number of Diagonals | n(n-3) 2 |
Circumference of a Circle | 2 r distance around a circle |
Diameter | straight line drawn through the center of the circle which connects two opposite points on the circle's circumference |
Radium | half the diameter line from center to the circumference |
Tangency | Circles touch at exactly one point |
Chord | A line drawn through a circle that connects two points on the circle's circumference, but doesn't go through the center. |
Area of a Circle | |
2 Right Triangle special angle ratios | 45-45-90 (isosceles right triangle) 30-60-90 |
2 Right Triangle sides ratios | 3-4-5 5-12-13 |
Isosceles Right Triangle sides ratios | x, x, x 2 |
30-60-90 sides ratios | x, x 3, 2x |
Volume of Rectangular Solids | lwh |
Surface Area of Rectangular Solids | 2lw+2lh+2wh |
Diagonal Length of Rectangular Solids | (l +w + h ) |
Volume of Cubes | s s=side or lwh |
Surface Area of Cubes | 6s s=side or 2lw+2lh+2wh |
Diagonal Length of Cubes | s 3 |
Volume of Cylinders | r h r=radius of circle h=height |
Surface Area of Cylinders | 2 r + 2 rh r=radius of circle h=height |
Volume of Cones | r=radius of circle h=height |
Surface Area of Cones | r=radius of circle l=length of side |
Volume of Pyramids | 1/3 bh b=area of the base h=height |
Volume of Spheres | |
Center-Radius Form (Circle) | (x-h) + (y-k) =r (h,k)=center point r=radius |
SOHCAHTOA | Sine: Opp/Hyp Cosine: Ajd/Hyp Tangent: Opp/Adj |
Tangent in relation to Sine and Cosine | Tangent=Sine/Cosine |
Difference of Square | a -b = (a+b)(a-b) |
Possible Combinations of Events | # Element A * # Element B * # Element C . . . |
Probability | # of desired outcomes #of total possible outcomes |
Probability of 2, mutually exclusive, outcomes both happening | probability of A * probability of B |
Circumference of a Circle Arc | |
Area of a Circle Arc | |
Arithmetic Sequence Explicit Formula | a =nth term a =1st term d=common difference |
Arithmetic Sequence Recursive Formula | a =nth term a =1st term n=number of terms d=common difference |
Find the Intersect of two lines | Put both lines in slope-intercept form. Put them equal to each other to solve for x. Then solve for y. |
Perpendicular Lines Slopes | are negative reciprocals |
Parallel Line Slopes | are equal |