The percentage change of a ratio of two variables is approximately the percentage change in the numerator _____ the percentage c
2 answers:
Answer:
"The percentage change of a ratio of two variables is approximately the percentage change in the numerator <u>minus</u> the percentage change in the denominator."
Step-by-step explanation:
The percent change in a number is determined by dividing the difference between the new number and original number by the original number and multiplying the result by 100.
Suppose the original ratio of two numbers is: .
And the new ratio is:
The percent change is:
Thus, the complete statement is:
"The percentage change of a ratio of two variables is approximately the percentage change in the numerator <u>minus</u> the percentage change in the denominator."
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Answer:
3.) 0.894
Step-by-step explanation:
✔️First, find BD using Pythagorean Theorem:
BD² = BC² - DC²
BC = 17.89
DC = 16
Plug in the values
BD² = 17.89² - 16²
BD² = 64.0521
BD = √64.0521
BD = 8.0 (nearest tenth)
✔️Next, find AD using the right triangle altitude theorem:
BD = √(AD*DC)
Plug in the values into the equation
8 = √(AD*16)
Square both sides
8² = AD*16
64 = AD*16
Divide both sides by 16
4 = AD
AD = 4
✔️Find AB using Pythagorean Theorem:
AB = √(BD² + AD²)
AB = √(8² + 4²)
AB = √(64 + 16)
AB = √(80)
AB = 8.9 (nearest tenth)
✔️Find sin x using trigonometric ratio formula:
Reference angle = x
Opposite side = BD = 8
Hypotenuse = AB = 8.944
Thus:
(nearest thousandth)