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Math Formulas

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