Answer:
multiply the ratio of quantities by 100%
Step-by-step explanation:
You usually explain a process by describing how it is done. The ratio of two quantities is expressed as a percentage by multiplying that ratio by 100%.
<u>Example</u>
A as a percentage of B is (A/B)×100%.
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You will often see a description of finding a percentage as involving multiplication by 100. What multiplication by 100 does is give you a quantity 100 times as large. Generally, that will not be the number you are looking for.
For example, <em>one out of four</em> as a percentage is not (1/4)·100 = 25. 25 is two tens plus 5, a number way larger than 1/4. Rather, it is (1/4)·100% = 25%.
"Percent" and "hundredths" are interchangeable. The percent symbol (%) is a shorthand way to write /100, which is what it means. Consider the above example:
25% = 25/100 = 1/4 . . . . these are all the same value, written differently
In decimal, ...
25% = 25/100 = 0.25 . . . . these are all the same value, written differently
Answer:
58°
Step-by-step explanation:
A right triangle can be drawn to model the geometry of the problem. The hypotenuse of the triangle is the length of the string, 100 ft. The side opposite the angle is the height of the kite above the ground, 85 ft.
The mnemonic SOH CAH TOA reminds you of the relationship between sides and angles.
Sin = Opposite/Hypotenuse
sin(α) = (85 ft)/(100 ft) = 0.85
The angle whose sine is 0.85 is found using the arcsine (inverse sine) function:
α = arcsin(0.85) ≈ 58.2°
The angle of elevation is about 58°.
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When using your calculator to find the values of inverse trig functions, make sure it is in <em>degrees</em> mode. Otherwise, you're likely to get the answer in radians (≈ 1.01599 radians).
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Answer:
6 (19 x - 2)
Step-by-step explanation:
Simplify the following:
6 - 3 (4 - 3 x) - 3 x - 6×9 x + 18×9 x - 6
-6×9 = -54:
6 - 3 (4 - 3 x) - 3 x + -54 x + 18×9 x - 6
18×9 = 162:
6 - 3 (4 - 3 x) - 3 x - 54 x + 162 x - 6
Grouping like terms, 6 - 3 (4 - 3 x) - 3 x - 54 x + 162 x - 6 = (-3 x - 54 x + 162 x) - 3 (4 - 3 x) + (6 - 6):
(-3 x - 54 x + 162 x) - 3 (4 - 3 x) + (6 - 6)
-3 x - 54 x + 162 x = 105 x:
105 x - 3 (4 - 3 x) + (6 - 6)
6 - 6 = 0:
105 x - 3 (4 - 3 x)
-3 (4 - 3 x) = 9 x - 12:
9 x - 12 + 105 x
Grouping like terms, 105 x + 9 x - 12 = (105 x + 9 x) - 12:
(105 x + 9 x) - 12
105 x + 9 x = 114 x:
114 x - 12
Factor 6 out of 114 x - 12:
Answer: 6 (19 x - 2)
Answer:
- 12k² + kl
Step-by-step explanation:
Given
7kl - 3k(4k + 2l) ← distribute parenthesis by - 3
= 7kl - 12k² - 6kl ← collect like terms
= - 12k² + kl
