Cos(A-B) = cosAcosB + sinAsinB
<span>
cos(</span>π/2 - θ) = cos(π/2)cosθ + sin(π/2)sinθ
π/2 = 90°
cos(π/2) = cos90° = 0. sin(π/2) = sin90° = 1
cos(π/2 - θ) = cos(π/2)cosθ + sin(π/2)sin<span>θ
</span>
= 0*cosθ + 1*sin<span>θ = </span>sin<span>θ
Therefore </span>cos(π/2 - θ) = sin<span>θ
QED </span>
Answer:

Step-by-step explanation:
The logistic differential equation is as follows:

In this problem, we have that:
, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.
At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.
This means that
when
. With this, we can find r, that is, the growth rate,
So




So the differential equation is:


Answer: 37.5%
Step-by-step explanation:
Percentage = Given Quantity/Total Quantity*100
So here, it will be like: 45/120*100
=0.375*100
=37.5%
Change 5/3 to 15/9. Then add 15 + 17 and put it over 9. 32/9
If they are similar they are by a ration of 1:2 but you dont know all the angles or all the sides.