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# PART A: FORMULAS

### SAT formulas

Question | Answer |
---|---|

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 |