Answer:
.
Step-by-step explanation:
Given information:
Period = 24 hr
Maximum = 16 at t=16 hr.
Minimum = 10 at t=4 hr.
The general sin function is
.... (1)
where, |A| is altitude, 
is period, C is phase shift and D is midline.
Period is 24 hr.
Altitude is
The function is minimum at t=4 and maximum at t=16,phase shift is
Substitute these values in equation (1).
Therefore, the required function is .
Ln(56) = 4x-9
ln(56) + 9 = 4x
(ln(56) + 9)/4 = x
Try this solution (see the attachment).
Suppose that the number u were thinking about is x thus :
Multiply both sides by 4
Divide both sides by 3
Looking at the triangle we see the angles:
58, x
We also see a right angle, therefore you now have:
90, 58, 0
All three angles of a triangle should have a total of 180 degrees, so we add the known angles and subtract the total from 180.
90 + 58 = 148
180 - 148 = 32
Therefore, x = 32 or C
