Answer:
4. 21
5. 32
Step-by-step explanation:
First question:
sin(x) = opp/hyp = 22/63 = 0.3492
x = sin⁻¹(0.3492)
20.43. Rounded to the nearest degree, it would be 21.
Second question:
sin(x) = opp/hyp = 18/34 = 0.5294
x = sin⁻¹(0.5294)
31.96. Rounded to the nearest degree, it would be 32.
Let me know if you have any problems.
(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>
yes it is right when the vertex of the first polygon is located on 3 - 2 after rotation the work vertex will be there on (2 , 3) it is right
You are going to find the different of the new price from the old price . 175.90-153.77=22.13
then you divide the difference by the new prince 22.13/153.77= 0.1439
you are you to multiple the decimal by 100
Your answer is going to be 14.39
Your estimate can be 14%
(11 - 4) (6 + 5) =
(7) (11) =
77
