PLEASE HELP ME FOR EXTRA POINTS AND BRAINLIEST ANWSER
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9514 1404 393
Answer:
D
Step-by-step explanation:
In the second quadrant, ...
c = 180° -arcsin(24/25) ≈ 106.26°
In the third quadrant, ...
d = 360° -arccos(-3/4) ≈ 221.41°
Then cos(c+d) = cos(327.67°) ≈ 0.84498
This is a positive irrational number, greater than 21/100, so the only reasonable choice is the last one:
_____
Perhaps you want to work this out using the trig identities.
cos(c) = -√(1 -sin(c)²) = -7/25
sin(d) = -√(1 -cos(d)²) = -(√7)/4
Then the desired cosine is ...
cos(c+d) = cos(c)cos(d) -sin(c)sin(d)
cos(c+d) = (-7/25)(-3/4) -(24/25)(-√7/4)
cos(c+d) = (21 +24√7)/100 . . . . matches choice D
The revenue function is,
For maximum and minimum value, the first derivative of function is equal to 0.
Determine the first derivative of revenue function.
For maximum and minimum value, R'(x) = 0. So
Since x = 700 corresponds to maximum or minimum value of revenue.
Determine the second derivative of revenue function.
Since second derivative of revenue function is less than 0 for every value of x. So x = 700 corresponds to maximum value of revenue.
So 700 villas rented to produce maximum revenue.
Answer: 700 villas