math formulas Flashcards

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1
Q

whats an integer

A

a number that is not a fraction; a whole number.

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2
Q

what is a rational number

A

In mathematics, a rational number is a number that can be expressed as a fraction

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3
Q

proportions and ratios

A

cross multiply

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4
Q

least common multiple

A

smallest number 2 numbers can multiply to evenly: start with smallest answer

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5
Q

greatest common factor

A

greatest number 2 numbers can be divided by evenly: start with the largest answer

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6
Q

fundamental counting principle

A

how many combinations? - multiply all numbers

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7
Q

x^1

A

x

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8
Q

x^0

A

1

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9
Q

Circumference

A

2pi r

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10
Q

arc length

A

theta/360*2pir

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11
Q

area of a circle

A

pir^2

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12
Q

sector area

A

theta/360*pir^2

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13
Q

30-60-90 triangle

A

half an equilateral triangle- x,xsr3,3x

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14
Q

45-45-90 trianlge

A

half a square - x,x,xsr2

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15
Q

parallelogram area

A

bh

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16
Q

trapazoid area

A

(b1+b2/2)h

17
Q

surface area

A

sum of area of all sides

18
Q

cylinder volume

A

(pir^2)h

19
Q

triangular prism

A

(bh/2)l

20
Q

cone volume

A

1/3(pir^2)h

21
Q

pyramid volume

A

1/3(lw)h

22
Q

irrational numbers

A

nonrepeating decimals

23
Q

natural numbers

A

1,2,3,4++++

24
Q

imaginary numbers

A

i

25
Q

arithmetic sequence - find the nth term

A

an=a1+(n-1)d
d= arithmetic differnece

26
Q

geometric sequence - find the nth term

A

an=a1(r^n-1)
r=ratio

27
Q

gap distance

A

gap = total distance/number of objects-1

28
Q

law of cosines

A

find the missing side of a nontight triangle
c^2=a^2+b^2-2abcos<c

29
Q

law of sines

A

sina/a=sinb/b=sinc/c

30
Q

circle equation

A

(x-h)^2+(y-k)^2=r^2

31
Q

elipse equation

A

(x-h)^2/a^2+(y-k)^2/b^2=1
a = horizontal radius
b=vertical radius

32
Q

and probability

A

multiply

33
Q

or probability

A

add

34
Q

chance probability

A

percentage

35
Q

360 degrees=

A

2pi radians

36
Q

domain

A

x

37
Q

range

A

y

38
Q

vertex form

A

y=(x-h)^2+k

39
Q

Vertical asymptote

A

denominator =0