formulae Flashcards

1
Q

(a^m)^n

A

a^mn

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2
Q

(a/b)^m

A

a^m/b^m

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3
Q

a^-m

A

1/a^m

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4
Q

a^x/y

A

y sqroot a^x

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5
Q

what is sequence formula for term number

A

a + (n-1)d

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6
Q

what is arithmetic sequence formula for sum number

A

n/2 (2a +(n-1)d)

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7
Q

what is term number for geometric formula

A

ar^n-1

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8
Q

sum number for geometric sequence

A

a(1 -r^n) / 1-r

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9
Q

what are the 5 methods of proving congruence

A
  • SAS
  • ASA
  • AAS
  • SSS
  • RHS
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10
Q

volume of sphere

A

4/3 pi r^3

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11
Q

volume of cylinder

A

pi r^2 h

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12
Q

volume of cone

A

1/3 pi r^2 h

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13
Q

volume of pyramid

A

1/3 base area height

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14
Q

surface area of sphere

A

4 pi r^2

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15
Q

formula for frequency, f.d and width

A

frequency = f.d. x width

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16
Q

what is the sin rule

A

a/ sin A = b/sin B = c/sin C

17
Q

ambiguous case for sin rule

A

sin rule only gives acute anser so if its obtuse 180 - acute

18
Q

cosine rule

A

a^2 = b^2 + c^2 - 2bc (cosA)

19
Q

area of triangle

A

1/2ab sin C

20
Q

curved surface area of cylinder

A

2 pi r h

21
Q

curved surface area of cone

A

pi r l

22
Q

curved surface area of sphere

A

4 pi r^2

23
Q

volume of pyramid

A

1/3 base area height