Formulas Flashcards

(46 cards)

0
Q

Formula: Area of a triangle

A

1/2 base x height

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1
Q

Pythagorean theorem?

A

a^2 +b^2 = c^2

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2
Q

1/8

A
  1. 5%

0. 125

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3
Q

1/6

A
  1. 6% (repeating)

0. 16 (6 repeating)

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4
Q

1/5

A

20%

0.2

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5
Q

1/4

A

25%

0.25

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6
Q

1/3

A
  1. 3% (repeating)

0. 3 (3 repeating)

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7
Q

3/8

A
  1. 5%

0. 375

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8
Q

2/5

A

40%

0.4

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9
Q

1/2

A

50%

0.5

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10
Q

3/5

A

60%

0.6

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11
Q

5/8

A
  1. 5%

0. 625

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12
Q

2/3

A

66.6% (repeating)
0.6 (6 repeating)
memory trick: 2 out of 3 IS bad… 66.6 ;)

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13
Q

3/4

A

75%

0.75

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14
Q

4/5

A

80%

0.8

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16
Q

5/6

A
  1. 3% (repeating)

0. 83 (3 repeating)

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17
Q

7/8

A
  1. 5%

0. 875

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18
Q

Find PERCENT given part and whole
ex:
What Percent of 60 is 45?

A

Percent= Part/Whole
or
Part/Whole =Percent

Part=45
Whole=60
Percent= ?

45/60=3/4= .75 = 75%

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19
Q

Sum of values given the average and number of values

A

Sum of values=

average value) X (number of values

20
Q

Average rate…
If j travels 30 mph in 2 hrs and then
60 mph In 3 hours, what is his average speed in miles per hour?

A

Average A per B=
total A/ total B

Avg miles per hour=
Total miles/ Total hours

(30+60) miles/ (2+3) hours

90 miles/ 5 hrs= 18 miles/hour

21
Q

The sum or difference between two odd or two even numbers is ______

A

Even

Odd +/- Odd= Even

Even +/- Even= Even

22
Q

The product of an even number and any other number is _____.

A

Even

Even x Even= Even

Even x Odd=Even

23
Q

Quadrilaterals:

Sum of interior angles

24
Q

Area:

Square

A

Area of square= s^2

25
Area: | Rectangle
Area rectangle=lw
26
Every prime number ends in
1, 3, 7, and 9 with the exception of 2 and 5
27
Is it prime? Check if number is divisible by: (5 numbers)
2, 3, 5, 7 or 11
28
16.6% (repeating)
1/6 | .16 repeating
29
12.5%
1/8
30
.125
1/8 | 12.5%
31
37.5%
3/8
32
60%
3/5
33
62.5%
5/8
34
11²
121
35
12²
144
36
13²
169
37
14²
196
38
15²
225
39
10²
100
40
Median of n numbers.. If n is odd... If n is even....
Median of n numbers.. If n is odd..The median is the middle # If n is even....there are two middle numbers and the median is the average of those two numbers
41
x² - y²=
x² - y²= (x+y)(x-y)
42
203² - 201² =
(203+201)(203-201)= (404)(2)=808 B/c: x² - y²= (x+y)(x-y)
43
If the numbers in a set are equally spaced the ___ and ____ of the set are the same
Mean and median
44
Set X: {-27, -20, -13, -6, 1, 8, 15} Set Y: {-23, -19, -15, -11, -7, -3, 1, 5, 9, 13} Column A Column B Mean of set X Mean of set Y A. The quantity in Column A is greater B. The quantity in Column B is greater C. The two quantities are equal D. The relationship cannot be determined from the information given
Column A: Since the numbers in set X are equally spaced, the mean will equal the median. We can quickly find the median by locating the middlemost element: {-27, -20, -13, -6, 1, 8, 15}. Set X has 7 elements and the middlemost element is -6. So, the median of set X is -6, which means the mean of set X is -6 as well. Column B: The numbers in set Y are also equally spaced, so the mean will equal the median. Set Y has 10 elements, so there are two middlemost elements: {-23, -19, -15, -11, -7, -3, 1, 5, 9, 13}. As such, the median of set Y will equal the average (mean) of -7 and -3, which is -5. So, if the median of set Y is -5, then the mean of set Y is -5 as well So, using our rule, we found that Column A = -6, and Column B= -5. As such, the answer to the question is B. -
45
Set T consists of all multiples of 5 from 30 to 225 inclusive Column A Column B Mean of Set T Median of Set T A. The quantity in Column A is greater B. The quantity in Column B is greater C. The two quantities are equal D. The relationship cannot be determined from the information given
If the numbers in a set are equally spaced, then the mean and median of that set are equal. Answer is C
46
For all integers n ≥ 1… A(n) = 9(n) + 3 Determine one of the first ten terms in this sequence. *n is subscript
The nth term of this sequence is defined by the rule 9n + 3, for integers n ≥ 1. For example, the fourth term in this sequence is 9n + 3 = 9( 4) + 3 = 39. The first ten terms of the sequence are as follows: 12, 21, 30, 39, 48, 57, 66, 75, 84, 93