F=x-48 over 4x. I hope that is right :)
Answer:
and 
Step-by-step explanation:
The ratios of sine and cos are defined as follows:
, and

The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)
Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.
Thus, we can now write:


The correct answer is the first answer choice.
Answer:
I think the answer is 3 1/12
Forgive me if I am wrong though
Step-by-step explanation:
A. The cost per 20 boards is 3800. so each board costs 3800/20 or $190. So the cost equation is C(x) = 200 + 190x
B. Divide the cost function by x. C(x)/x = 200/x + 190
C. The graph will be a curve that starts at (1,390) and curves down and to the right. Your last point will be at (30, 200/30+190) Your asymptote will be the horizontal line at 190 because as x tends to infinity, the term 200/x goes to zero. (There is also a vertical asymptote at x = 0 because you can't divide by zero, but your graph won't include x=0)
D. The average cost tends to 190 which was your horizontal asymptote.
Answer:
x=4
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x+5) *x = 6^2
x^2 +5x = 36
Subtract 36 from each side
x^2 +5x - 36 = 0
Factor
( x-4) (x+9) = 0
Using the zero product property
x-4 = 0 x+9 =0
x = 4 x=-9
Cannot be negative since that is negative length
x=4