Identifying Formula Flashcards
Standard Deviation
s= The square root of - The average of (x-x bar) squared divided by the number of data points minus 1
Volume of a Pyramid
1/3 times the area of the base x the height
Volume of a Cone
1/3 x pi x radius squared x height
Volume of a Sphere
4/3 x pi x radius cubed
Area of a Triangle
A= 1/2 x a x b x sinC
CoSine Rule for length
a squared = b squared + c squared - 2 x b x c x cosA
Sine Rule
a/sinA = b/sinB = c/sinC
The Roots of ( Quadratic Formula - Trinomial )
aX squared + bX + c = 0
CoSine rule for Angle
cosA = b squared + c squared - a squared divided by 2bc
The roots of ( Quadratic Formula- Hard )
x = -b +or- the square root of (b squared - 4 x a x c) divided by 2 x a
1/3 x the area of the base x height
Volume of a pyramid
S= the square root of - The average of (x-x bar ) squared divided by the number of data points - 1
Standard Deviation
1/3 x pi x radius squared x height
Volume of a Cone
4/3 x pi x radius cubed
Volume of a circle
A= 1/2 x a x b x sinC
area of a triangle
a squared = b squared + c squared - 2 x b x c x cosA
CoSine rule for length
a/sinA = b/sinB = c/sinC
sine rule
aX squared + bX + c = 0
The roots of ( Quadratic formula - Trinomials)
cosA = b squared + c squared - a squared divided by 2bc
CoSine rule for angle
x = -b +or- the square root of (b squared - 4 x a x c) divided by 2 x a
The roots of ( Quadratic Formula - Hard)
Pythagoras Theorem
c squared = a squared + b squared
Right-Angled Trig
SoH, CaH, ToA,
sin = opp/hyp
cos= adj/hyp
tan = opp/adj
Area of a Triangle
A= 1/2 x b x h
Area of a Circle
A= pi x r squared
Volume of a Prism
V= area x height
Volume of a Cuboid
V = l x b x h
Volume of a Cylinder
V= pi x radius squared x height
Gradient of a Line
m = y2-y1/ x2-x1
Equation for a Straight line
y-b=m(x-a) or y=mx+c
Arc length
AL= angle/360 x pi x d
Area of a sector
AS= angle/360 x pi x radius squared
Discriminant
b squared - 4ac
Trig Identities
tanx = sinx/cosx or cos^2x + sin^2 x =1
Magnitude of a Vector
a = the square root of - a1 squared + a2 squared + a3 squared
Semi-Interquartile range (SIQR)
Q3(upper quartile) - Q1(Lower quartile) / 2
Percentage Increase/Decrease
Increase(Decrease)/ original x 100
c squared = a squared + b squared
Pythagoras Theorem
SoH, CaH, ToA,
sin = opp/hyp
cos= adj/hyp
tan = opp/adj
Right-Angled Trig
A= 1/2 x b x h
Area of a Triangle
A= pi x r squared
Area of a Circle
V= area x height
Volume of a Prism
V = l x b x h
Volume of a Cuboid
V= pi x radius squared x height
Volume of a Cylinder
m = y2-y1/ x2-x1
Gradient of a Line
y-b=m(x-a) or y=mx+c
Equation for a Straight Line
AL= angle/360 x pi x d
Length of an Arc
AS= angle/360 x pi x radius squared
Area of a Sector
b squared - 4ac
Discriminant
tanx = sinx/cosx or cos^2x + sin^2 x =1
Trig. Identities
a = the square root of - a1 squared + a2 squared + a3 squared
Magnitude of a Vector
Q3(upper quartile) - Q1(Lower quartile) / 2
Semi-Interquartile range (SIQR)
Increase(Decrease)/ original x 100
Percentage Increase/Decrease
