Formulas Flashcards

1
Q

Sphere volume

A

4/3 pi R^3

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2
Q

Sphere surface area

A

4 pi R^2

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3
Q

Parallelogram

A

a*b

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4
Q

Rhombus

A

ab/2

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5
Q

Trapezoid

A

1/2(ab)*h

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6
Q

Sum of interior angles

A

180*(n-2)

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7
Q

Cone volume

A

1/3 * (Pi * r^2 * h)

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8
Q

Diagonal of rectangle

A

SqRt (a^2 * b^2 * c^2)

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9
Q

Diagonal of square

A

SqRt(3)*a

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10
Q

45-45-90 triangle

A

1 : 1 : SqRt(2)

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11
Q

30-60-90 triangle

A

1 : SqRt(3) : 2

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12
Q

y = mx+b

A

y - y1 = (y2-y1)/(x2-x1) * (x-x1)

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13
Q

Thale’s theorem

A

For a triangle inscribed in a circle with all 3 vertices on the circle’s circumference:

If one side is the diameter,

Then angle opposite diameter is 90 degrees

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14
Q

Investment value with simple interest

A

V = P*(1 + rt)

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15
Q

Investment value with compound interest

A

V = P*(1+r/n)^(nt)

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16
Q

Combination formula

N choose k

A

n! / ( k! * (n-k)! )

17
Q

Essence of combinations

A

Creating two groups, just determining what’s “in” and what’s “out”.

So an equal number of combinations results from choosing K as from choosing N-K. Choosing K is choosing ways K can be in, while choosing N-K is choosing ways K can be out.