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58 Cards in this Set
- Front
- Back
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What is formula for the diameter of a circle
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2r
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What is the formula for the circumference of a circle (perimeter)
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2pier
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What is the formula for the area of a circle
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pie(r)^2
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What is the formula to find out the length of an arc?
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X/360 times 2(pie)(r)
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What do factors do?
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Divide a number evenly, without leaving a remainder
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x^a times x^b =
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x^a+b
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x^a / x^b =
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x^a-b
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(x^a)^b =
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x^ab
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x^-a =
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(1/x)^a
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x^0 =
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1
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x^1 =
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x
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sq root of a*b =
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sq root A times sq root B
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Sq root of a/b =
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sq root of a / sq root of b
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To multiply fractions,
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Multiply the numerators and denominators
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n/n =
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1 (n cannot be 0)
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0/n =
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0 (n cannot be 0)
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n/0 =
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undefined
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How would you set up,
x% of y is z? |
x/100 (y) = z
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What is the formula for % increase/decrease?
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Change in values/ original value
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What is the fraction ratio of 75 miles per hour?
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75 miles/ 1 hour
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What is the fraction ratio of "four pounds every nine days?"
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4lbs/9 days
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What is the fraction ratio of "six books in a month"?
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6 books/ 1 month
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What is a "unit rate"?
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A rate in which the denominator is a single unit.
400 sq. feet/ 1 gal |
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Congruent angles are,
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Equal
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What is the formula for an area of a triangle?
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1/2 b*h
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The angles in a triangle must add up to how many degrees?
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180
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An isosceles triangle has,
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2 equal sides and two equal angles
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An equilateral triangle has,
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three equal sides and 3 equal angles
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On a right and isosceles triangle, (45, 45, 90)
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The two sides are equal and the hypotenuse is the side times the square root of 2.
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For a 30-60-90 triangle,
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One side is s, the hypotenuse is 2s, and the remaining side is s(sq root 3)
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The area of a rectangle is,
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Length times width
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The perimeter of a rectangle is,
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2l + 2w
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A parallelogram has,
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2 sets of parallel sides
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The area of a parallelogram is
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B*h
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A trapezoid has,
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one set of parallel sides
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The area of a trapezoid is
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[1/2(top length + bottom length)] *h
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What is the formula for the area of a sector in a circle?
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x/360 *[pie(r2)]
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What is the formula for slope?
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Two coordinates (x1,y1), (x2,y2)
(y2-y1)/ (x2-x1) Rise over run |
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The slope of a vertical line is,
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undefined
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the slope of a horizontal line is
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0
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To find the distance between points, use
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The pythagorean theorm
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The formula to find out average is,
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Sum of values / # of values
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What is the median?
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The middle value when arranged from least to greatest. Or the average of the middle two values when there is an even amount of numbers in a set
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What is the mode?
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The most frequently occurring value (can be more than one)
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What is the range?
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Greatest value - least value
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What is the probability of one or some number of equally likely outcomes occurring? (formula)
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# of desired outcomes / Total # of possible outcomes
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The probability of a OR b happening is,
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a+b
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The probability of a AND b happening is
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a*b
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If you have two side lengths of a triangle, how can you find a range for the third length?
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The side must be greater than the difference of the two numbers, but less than the sum.
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What is the formula for the volume of a cylinder?
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V = pie(radius)^2 *height
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(odd)(even) will always =?
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Even
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(odd)(odd) will always = ?
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odd
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(even)(even) will always = ?
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Even
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What is the formula for a combination?
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C = n! / ((n-k!) k!) !
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What is the formula for a permutation?
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P = n! / (n-k)!
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The sum of the interior angle measures in a polygon with n sides is equal to,
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(n-2)(180)
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the volume of a cylinder is equal to
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(pie)(r^2)*(height)
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The surface area of a right circular cylinder is equal to
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2(pie*r^2) + 2(pie)(r)(h)
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