Answer: B.
Using trigonometric ratios, we know that:
tan x = opp/adj
Plug in the values.
tan A = 20/48
The side opposite to angle A is 20, and the adjacent side is 48.
Simplify the fraction.
tan A = 5/12
Answer:
<h2>D. 0.389</h2>
Step-by-step explanation:
We need to find the probability of a studend taking a humanities class, given the student is male.
In this case, the total number of outcomes 180, which is the total number of male students. The possible event is 70, which is all male students which take humanities class.
So, the probability is

Therefore, the right answer is D., the probability that a student is taking a humanities class, given the student is male, is 0.389, rounded to the nearest thousandth.
The answer would be 15+$5.50(9)=$64.50 is less than $12+$6.25(10)= 74.50
Answer: x < -1
Step-by-step explanation:
•Solve:
x + 6 < 5
• Subtract 6 on both sides:
x + 6 < 5
-6 -6
—————-
• Result:
x < -1
Answer:
3%
Step-by-step explanation:
This equation represents exponential decay. Whenever the base is less than 1, the function represents decay. When the base is greater than 1, the function represents growth. In this case, the base is .97 which is less than 1, representing decay.
The formula for exponential decay is y=a(1-r)x.
r is the decay rate, expressed as a decimal.
In this case, r = .03 which represents 3%!