# math

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.