MATH FORMULA Flashcards
(64 cards)
1
Q
Volume of Cube
A
V = s³
2
Q
SA of Rectangular Prism
A
SA= 2(LW+HW+LH)
3
Q
Volume of Triangular Prism
A
V= bhl/2
4
Q
SA of Triangular Prism
A
SA= bh + 3lw
5
Q
SA of Cube
A
SA= 6s²
6
Q
Volume of Rectangular Prism
A
V = lwh
7
Q
Volume of Cylinder
A
V=πr²h
8
Q
SA of Cylinder
A
SA= 2πr(r+h)
9
Q
Volume of Cone
A
V= 1/3 πr²h
10
Q
SA of Cone
A
SA= πr(r+s)
11
Q
Volume of Sphere
A
V= 4/3 πr³
12
Q
SA of Sphere
A
SA= 4πr²
13
Q
Volume of Pyramid
A
V=1/3 lwh
14
Q
SA of Pyramid
A
SA= b(b+2h)
15
Q
Area of Triangle
A
A= bh/2
16
Q
Area of Rectangle
A
A=lw
17
Q
Perimeter of Rectangle
A
P= 2(L+w)
18
Q
Perimeter of Trapezoid
A
P= a + b1 + b2 + c
19
Q
Area of Trapezoid
A
A= h(b1 + b2)/2
20
Q
Circumference of Circle
A
C= 2πr
21
Q
Area of Circle
A
A= πr²
22
Q
Diameter of Circle
A
d= 2r
23
Q
Perimeter of Square
A
P= 4s²
24
Q
Area of Square
A
A= s²
25
Perimeter of Parallelogram
P= 2(a+b)
26
Area of Paralellogram
A=bh
27
Euler Formula
F+V=E+2
28
Area Heron's Formula
A= √s(s-a)(s-b)(s-c)
s= a+b+c/2
29
Sum of Interior Angle of Polygon
I= (n-2)180°
30
Number of Intersecting Diagonals
d= n(n-3)/2
31
Number of Non-intersecting diagonals
d=n-3
32
Arithmetic Sequence
An = A1+(n-1)d
33
Arithmetic Series
Sn=n/2 (2a1 + (n-1)d)
OR
Sn= n/2 (a1 + an
34
Geometric Sequence
an = a1 ( r^n-1)
35
Geometric Series
Sn= a1 (1-r^n)/1-r^n)
36
Harmonic Sequence
an= 1/a1 + (n-1)d
37
Binomial Expansion
nCr × a^n-r × b^r
38
Law of Sines
sinAlpha/a = sinBeta/b = sinGhama/c
39
Law of Cosine
a²= b²+c²- 2bc cos Alpha
b²= a²+b² - 2ac cos Beta
c²= a²+b² -2ab - 2ab cos Ghama
40
Midpoint between two points
M= (x2 + x1 /2 , y2 + y1 /2)
41
slope intercept form
y = mx + b
42
Simple Interest
I = Prt
43
Compound Interest
F = P ( 1 + r/2) ^nt
44
Combination Formula
nCr = n!/(n-r)!r!
45
Permutation Formula
nPr= n!(n-r)!
46
Null Hypothesis
Ho:x1 = x2
47
Alternative Hypothesis
Ha:x1≠x2
48
Distance Between two points
d = √(x2-x1)²+(y2-y1)²
49
Distance between three points
d= √(x2-x1)²+(y2-y1)²+(z2-z1)²
50
Formula in getting the center of circle(h,k) in equation
-C/2 and -D/2
51
Slope of a line
y2-y1/x2-x1
52
Point Slope Form
y-y1=m(x-x1)
53
Angle between two lines
tan Theta = |m2-m1/1+m1m2|
54
Distance between a point a line
d= |Ax1 + By1+c|/ √A²+B²
55
Standard form of Circle in conic sections
(x-h)²+(y-k)²=r²
56
Horizontal standard form of Parabola
(y-k)²= 4p(x-h)
57
Vertical standard form of Parabola
(x-k)² = 4p (y-h)
58
Horizontal standard form of Ellipse
(x-h)²/a² + (y-k)²/b² = 1
59
Vertical standard form of Parabola
(x-h)²/b² + (y-k)²/a² =1
60
Horizontal standard form of Hyperbola
(x-h)²/a² - (y-k)²/b² =1
61
Vertical standard form of Parabola
(y-k)²/a² - (x-h)²/b² =1
62
Conversion from Degrees to Radians
Degrees × π/180°
63
Conversion from Radians to Degrees
Radians × 180°/π
64
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