FM11 Formula Sheet

Mathematics 20-2 Formula Sheet
Measurement
Imperial to Imperial
Imperial to SI (Metric)
SI (Metric) to Imperial
1 ft = 12 in
1 in = 2.54 cm
1 cm = 0.3937 in
1 yd = 3 ft
1 ft = 0.3048 m
1 m = 3.2808 ft
1 mi = 5280 ft
1 yd = 0.9144 m
1 m = 1.0936 yds
1 mi = 1760 yds
1 mi = 1.6093 km
1 km = 0.6214 mi
G
M
k
SACylinder = 2πr 2 + 2πrh
Polygons
da
Unit
d
c
μ
m
SACone = πr 2 + π rs
1
VCone = πr2h
3
VCylinder = πr 2h
VPyramid =
h
1
× h)
(A
3 Base
n
SASphere = 4πr 2
4
VSphere = π r3
3
VPrism = ABase × h
Sum of the interior angles of an n-sided polygon is (n − 2)180°
m=
Linear Relations
y2 − y1
x2 − x1
d=
y = mx + b
(x2 − x1)2 + (y2 − y1)2
y − y1 = m(x − x1)
Ax + By + C = 0
Quadratic Functions and Equations
y = ax 2 + bx + c
Quadratic Formula
y = a(x − p) 2 + q
x=
Trigonometry
a
b
c
=
=
sin A sin B sin C
Pythagorean Theorem
Statistics
z=
x−μ
σ
–b ±
y = a(x − m)(x − n)
b 2 − 4ac
2a
a 2 = b 2 + c 2 − 2bc cos A
cos A =
b2 + c2 − a2
2bc
a2 = b2 + c2
Graphing Calculator
x: [xmin, xmax, xscl]
y: [ymin, ymax, yscl]