It is given that 
.
Now, know that in 180 degrees there are 
radians. This can be written as:
radians
radians (dividing both sides by 180)
Thus, to find the measure of the given angle of 
in radians, we will have to multiply the above equation by 135. Thus, we get:
radians
radians
Thus, equivalent to the radian measure of angle a is 2.356
Answer:
- Fresh Pond: p(t) = 854 +3t
- Strawberry: p(t) = 427·1.10^t
Step-by-step explanation:
(a) The general term of an arithmetic sequence is ...
an = a1 + d(n -1)
If we let the sequence of population numbers be modeled by this, and we use t for the number of years, we want n=1 for t=0, so n = t+1 and we have ...
p(t) = 854 +3(t+1-1)
p(t) = 854 +3t
__
(b) The general term of a geometric sequence is ...
an = a1·r^(n-1)
were r is the common ratio. Here, the multiplier from one year to the next is 1+10% = 1.10. Again, n=t+1, so the population equation is ...
p(t) = 427·1.10^(t+1-1)
p(t) = 427·1.10^t
You can divide the two values A = diameter of bacterium B = diameter of virus A/B = (10^(-6))/(10^(-7)) A/B = 10^(-6-(-7)) A/B = 10^(-6+7) A/B = 10^(1) A/B = 10 Since the ratio of the two diameters is 10, this means that the diameter of the bacterium is 10 times greater than that of the virus.
Add up all sides lengths:
s+6 + s+6 + s + s + 2s = 102
solve for s:
6s + 12 = 102
6s = 90
s= 15
The lengths of sides are as follows:
15, 21, 21, 15, 30 inches
I hope that
helps!
