The final answer would depend in the type of triangle we are analyzing, however here are the possible outcomes:
1.) If it was a right triangle, 36.5 would be the smaller angle.
2.) It cannot be an equilateral triangle since all angles would be 60°.
3.) In a isosceles triangle, 36.5° would be the smaller, since the others would be 72°.
4.) In an scalene triangle it cannot be determined unless we had 2 angles since in that kind of triangle all angles can be different.
5.) In an acute triangle, 36.5° would be the smaller angle.
6.) In an obtuse triangle it cannot be determined unless we had 2 angles, since it can have highly acute angles.
Answer:
b
Step-by-step explanation:
(a) The "average value" of a function over an interval [a,b] is defined to be
(1/(b-a)) times the integral of f from the limits x= a to x = b.
Now S = 200(5 - 9/(2+t))
The average value of S during the first year (from t = 0 months to t = 12 months) is then:
(1/12) times the integral of 200(5 - 9/(2+t)) from t = 0 to t = 12
or 200/12 times the integral of (5 - 9/(2+t)) from t= 0 to t = 12
This equals 200/12 * (5t -9ln(2+t))
Evaluating this with the limits t= 0 to t = 12 gives:
708.113 units., which is the average value of S(t) during the first year.
(b). We need to find S'(t), and then equate this with the average value.
Now S'(t) = 1800/(t+2)^2
So you're left with solving 1800/(t+2)^2 = 708.113
<span>I'll leave that to you</span>