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# PART A: FORMULAS

### SAT formulas

Area of a rectangle A= L x W
Area of a triangle A = 1/2bh
Area of a circle A = π r^2
Circumference of a circle C= 2π r
Diameter and radius of a circle d = 2r
Volume of a rectangle prism V - Bh, where B is the area of the Base
Degrees in a Right angle, straight line, Triangle and Circle? Right angle = 90 Straight line = 180 Triangle = 180 Circle = 360
When a line intersects two parallel lines Two kinds of angles are formed: Big angles and little angles Each big angle is equal to the other big angle Each small angle is equal to the other small angle Any big angle + small angle = 180 degrees
Pythagorean therom a^2 + b^2 = c^2 Where c is the hypotenuse of a right angle triangle
SOHCAHTOA Sin = oppositie / hypotenuse Cos = adjacent / hypotenuse tangent = opposite / adjacent
Area of a square A= s*s (duh!)
Area of a parallelogram A=bh break into 2 two triangles or a rectangle and 2 triangles
Area of a trapezoid A = 0.5h(b1+b2) (break into 2 triangles and a rectangle)
Volume of a cube V=s^3 (based of volume of a rectangular prism)
Volume of a rectangle solid V=lwh
Volume of a cylinder V = π r^2h
Properties of special right triangles: 45:45:90 length of hypotenuse = x sqrt2 length of other sides = x
Properties of special right triangles: 30:60:90 length of hypotenuse = 2x length of side opposite 30 degree angle = x length of side opposite 60 degree angle = x sqrt3
sum of angles in a n-sided polygon (n-2)180
Angle measure of each angle in a regular n-sided polygon ( (n-2)180 ) / 2
Surface area of a rectangular solid S = 2 (lw + lh + wh) Add area of all faces
Surface area of a cube S = 6 s^2
Surface area of a right circular cylinder S = 2π r^2 + 2π rh Add area of all faces
Geometry coordinate formula: Slope Slope = rise / run (y2 - y1) / (x2 - x1) The delta of y divided by the delta of x
Geometry coordinate formula: Slope intercept form of a line y=mx+b
Geometry coordinate formula: distance d = sqrt of the ( (delta of x)^2 + (delta of y)^2
Geometry coordinate formula: midpoint delta of x / 2 , delta of y / 2 The average of the x coordinates is the midpoint's x the average of the y coordinates is midpoint's y
Geometry coordinate formula: standard form Ax + By = C Can always rearrange this into slope intercept form Slope = A / B y intercept = C / B
quadratic formula x = ( -b + or minus sqrt of b2 - 4ac) / 2a
quadratic formula discriminant: If D > 0 If D > 0 then there will be 2 distinct, real solutions
quadratic formula discriminant: If D = 0 If D = 0 then there will be 1 distinct, real solution
quadratic formula discriminant: If D < 0 If D > 0 then there will be no real solutions. instead there will 2 complex solutions
Arithmetic sequence n th term formula Original term + (n-1) d, where d is the constant difference between terms
Geometric sequence n th term formula Original term * r^(n-1) where r is the constant ratio between terms
Group formula: Total = Group 1 + Group 2 - Both + Neither
Statistics: Arithmetic mean (average) sum of numbers divided by the number of things.
Probability: Permutations formula nPr = n! / (n - r)! Where n is the number of elements available and r is the of elements chosen.
Probability: Combination formula nCr = n! / r!(n-r)!
What is the airspeed velocity of a unladen swallow? Approx. 20.1 mph
Created by: swelham508
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