Formula Flashcards

1
Q

In the quadratic formula, x = ?

A

x =

−b ± √(b2 − 4ac)
_________________
2a

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2
Q

What is the formula for the calculation of the sum of the interior angles on an n-sided polygon?

A

The sum of the interior angles on an n-sided polygon is =
(n - 2) x 180

where n = number of sides

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3
Q

What is the formula for the calculation of each interior angle in a polygon?

A

Each interior angle of a polygon =

(n - 2) x 180
____________
n
Where n = number of sides

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4
Q

What is the sum of all the exterior angles in a polygon?

A

The sum of all the exterior angles in a polygon is 360º.

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5
Q

Based on the sum of all the exterior angles in a polygon being 360º,
what is the formula that can be used t obtain the number of sides of a polygon?

A

The number of sides of a polygon can be obtained by using the formula:

     360º \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ each exterior angle
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6
Q

Based on the formula:
(n - 2) x 180
for the finding of the sum of the interior angles in a polygon, what is the formula that can be used to obtain the number of sides of a polygon?

A

The number of sides of a polygon can be obtained by using the formula:

(n - 2) x 180
____________________
each interior angle

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7
Q

What does the sum of the interior and exterior angles of a polygon add up to?

A

The sum of the interior and the exterior angle of a polygon add up to 180º.

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8
Q

What is Pythagoras’ theorem?

For calculation of a hypotenuse, adjecent/opposite side of a triangle

A

The Pythagoras’ theorem is

c²= a² + b²

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9
Q

What is the formula for the calculation of the area of a triangle?

This is in a right angled triangle.

A

Area of a triangle =
1/2 b × h

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10
Q

What is the formula for the calculation of the perimeter of a triangle?

This is in a right angled triangle.

A

Perimeter of a triangle =
a + h + b

a = hypotenuse
b = adjecent
h = opposite

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11
Q

What is the formula for the calculation of the area of a non-right angle triangle?

A

The area of a non-right angle triangle =
1/2 abSinθ

a and b are on either side of angle θ

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12
Q

What is the formula for the calculation of the perimeter of a non-right angle triangle?

A

Perimeter of a non-right angle triangle =
a + b + c

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13
Q

What formula is used to calculate the area of a rectangle?

A

The formula used to calculate th area of rectangle =
L x W

L = length W = width

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14
Q

What formula is used for the calculation of the perimeter of a rectangle?

A

The formula used for the calculation of the area of a rectangle =
2L + 2W

L = length W = width

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15
Q

What is the formula for the calculation of the area of a parallelogram?

Without a given angle.

A

Area of a parallelogram =
b x h

b = base | h = height

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16
Q

What is the formula for the calculation of the perimeter of a parallelogram?

A

Perimeter of a parallelogram =
2a + 2b

Consult notebook for specifics.

17
Q

Given an angle set between sides, a and b, what is the formula for the area of a parallelogram?

A

Given an angle set between sides, a and b, the formula for the area of a parallelogram =
abSinθ

18
Q

What is the formula for the calculation of the area of a trapezium?

A

The area of a trapezium =
1/2 (a+b) x h

19
Q

What is the formula for the calculation of the perimeter of a trapezium?

A

The perimeter of a trapezium =
a + b + 2c

20
Q

What formula does one use to calculate the area of a circle?

A

The area of a circle =
πr²

21
Q

What formula calculates the circumference of a circle?

A

The circumference of a circle =
πd or 2πr

22
Q

What is the formula for the calculation of the area of a kite?

A

The area of a kite =
1. 1/2 a x b

or
2. 1/2 x the product of the diagonals

23
Q

What is the formula for calculating simple interest?

A

The formula for the calculation of simple interest is:

P x T x R

p = money | T = time | R = rate

24
Q

What is the formula used for the calculation of compound interest?

A

The formula used for the calculation of compund interest is:

Pn = Po(1 + r/100)^n

Pn = final amount | Po = Initial amount | n = time in years

Pn = Po(1 - r/100)^n is used to calculate decay.

25
Q

What is the formula for the nth term of a linear sequence?

A

nth term = an + b

a = common difference
n = position in sequence
b = term to be found