math formulas Flashcards
whats an integer
a number that is not a fraction; a whole number.
what is a rational number
In mathematics, a rational number is a number that can be expressed as a fraction
proportions and ratios
cross multiply
least common multiple
smallest number 2 numbers can multiply to evenly: start with smallest answer
greatest common factor
greatest number 2 numbers can be divided by evenly: start with the largest answer
fundamental counting principle
how many combinations? - multiply all numbers
x^1
x
x^0
1
Circumference
2pi r
arc length
theta/360*2pir
area of a circle
pir^2
sector area
theta/360*pir^2
30-60-90 triangle
half an equilateral triangle- x,xsr3,3x
45-45-90 trianlge
half a square - x,x,xsr2
parallelogram area
bh
trapazoid area
(b1+b2/2)h
surface area
sum of area of all sides
cylinder volume
(pir^2)h
triangular prism
(bh/2)l
cone volume
1/3(pir^2)h
pyramid volume
1/3(lw)h
irrational numbers
nonrepeating decimals
natural numbers
1,2,3,4++++
imaginary numbers
i
arithmetic sequence - find the nth term
an=a1+(n-1)d
d= arithmetic differnece
geometric sequence - find the nth term
an=a1(r^n-1)
r=ratio
gap distance
gap = total distance/number of objects-1
law of cosines
find the missing side of a nontight triangle
c^2=a^2+b^2-2abcos<c
law of sines
sina/a=sinb/b=sinc/c
circle equation
(x-h)^2+(y-k)^2=r^2
elipse equation
(x-h)^2/a^2+(y-k)^2/b^2=1
a = horizontal radius
b=vertical radius
and probability
multiply
or probability
add
chance probability
percentage
360 degrees=
2pi radians
domain
x
range
y
vertex form
y=(x-h)^2+k
Vertical asymptote
denominator =0