9514 1404 393
Answer:
a) 22°
Step-by-step explanation:
Side 'a' is the shortest side, so angle A will be the smallest angle. Its value must be less than 60°, eliminating the last two answer choices. The actual value can be found from the Law of Cosines.
a² = b² +c² -2bc·cos(A)
cos(A) = (b² +c² -a²)/(2bc) = (5² +7² -3²)/(2(5)(7)) = 65/70
A = arccos(65/70) ≈ 21.7868°
Angle A is about 22°.
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."