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# AHS QB Math

### math

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

The area of an equilateral triangle with side length 4. | four times the square times the square root of 3 |

The area of a square inscribed in a circle with radius 4. | 32 |

The area of a rhombus whos diagonals are lengths 4 and 7. | 14 |

The area of a decagon with perimeter 40 and apothem length 6. | 120 |

The formula of the colume of a cylinder in terms of its radius r and height h. | pi r squared h |

The formula of the total surface area of a cylinder in terms of its radius r and height h. | 2 pi r times quantity r plus h |

The formula of the volume of a cone in terms of its radius r and height h. | one-third pi r squared h |

The formula of the surface area of a aphere in terms of its radius r. | 4 pi r squared |

The value of the secant of 180 degrees. | negative one |

The value of the tangent of 360 degrees. | zero |

The value fo the cosine of 780 degrees. | one-half |

The value of the cosecant of 180 degrees. | undefined |

10^6 | Mega (do not accept Meg) |

10^-6 | Micro |

10^-9 | Nano |

10^12 | Tera |

For a set of data, this is the difference between the smallest and largest values in the set. | Range |

This is the most frequently occuring value in a set of data. | Mode |

Half the values in a data set will be higher than this value, and the other half will be lower. | Median |

This value, symbolized by a lower-case sigma, tells how spread out the data are from the mean. | Standard Deviation |

The positive square root of the quantity (13 squared minus 12 squared) | Five |

The value of i raised to the tenth power | Negative one |

The measure of one interior angle in a regular pentagon | 108 degrees |

The value of 64 to the negative two-thirds power | 1/16 |

Numbers in the form a + bi. Example 3 - 5i | Complex numbers |

Numbers of the sequence 1,1,2,3,5... | Fibonacci numbers |

Irrational numbers that are not algebraic numbers such as Pi and e. | Transcendental numbers |

Any number that can be expressed as the ratio of two integers. | Rational numbers |

Evaluate sin 390 degrees | 1/2 |

Evaluate cos 855 degrees | negative square root of 2/2 |

Evaluate tan-420 degrees | negative square root of 3 |

Evaluate sec 300 degrees | 2 |

24 | 2^3 (2 cubed times 3 or 2 to the third times three) |

105 | 3x5x7 (3 times 5 times 7) |

968 | 2^3 11^2 (2 cubed times 11 squared or equivalents) |

101 | 101 (accept prime or some equivalent) |

2^9 | 512 |

4^4/2^6 | 4 |

(E to the quanity pi times I where I is the square root of negative one.) | -1 |

.008^2 | .0064 |

What is the function's amplitude? | 4 |

What is the function's period? | pie |

What is the magnitude and direction of the function's horizontal shift? | pie/2 to the left |

What is the magnitude and direction of the function's vertical shift? | 3 down |

The derivative of F times G equals F times the derivative of G plus G times the derivative of F | Product Rule |

The derivative of F of G of X equals the derivative of G of X times the derivative of F of G of X | Chain Rule |

If F of A is less that zero and F of B is greater than zero, then there is some value C between A and B such that F of C equals zero. | Intermediate Value Theorem |

For values A and B there is a value C between A and B such tghe the derivative of F at C equals the quanitity F of B of a divided by B minus A. | Mean Value Theorem |

Find the two roots for each equation: X^2-2X-15=0 | X=-3 and X=5 |

Find the two roots for each equation: X^2-19X+84=0 | X=7 and X=12 |

Find the two roots for each equation: X^2-3X-28=0 | X=-4 and X=7 |

Find the two roots for each equation: X^2-5X-66=0 | X=11 and X=-6 |

The length of the hypotenuse if the base is 16 inches long and the height equals 12 inches. | 20 inches |

The area of the right triangle whos hypotenuse equals 25 inches and whos base equals 24 inches. | 84 square inches |

The length of the base if the altitufe equals 6 inches and the hypotenuse equals 9 inches | 3 square root of five |

The length of the base if the area of the triangle equals 112 square inches while its altitude equals 8 inches. | 28 inches. |

Created by:
armorelqb