Answer:
The family of possible values for
are:

Step-by-step explanation:
By Linear Algebra, we can calculate the angle by definition of dot product:
(1)
Where:
- Angle between vectors, in sexagesimal degrees.
- Norms of vectors
and 
If
is acute, then the cosine function is bounded between 0 a 1 and if we know that
and
, then the possible values for
are:
Minimum (
)

Maximum (
)

With the help of a graphing tool we get the family of possible values for
are:

<span>(a) At the end of Month 0, about how many more insects were in Pod A than Pod B? Explain.
In Pod A, the point is higher than 50, it could be 60 to 70 insects. Pod B has 20 insects. So, Pod A has at least 40 insects more than Pod B.
(b) Find and compare the growth rates of each pod. Show your work.
Pod A: (0,60) ; (1,80) ; (2,100)
(80-60)/60 = 0.33
(100-80)/80 = 0.25
Pod B: (0,20) ; (1,44) ; (2,97)
(44-20)/20 = 1.2
(97-44)/44 = 1.2
Based on my computation, the rate of Pod A is lower than the rate of Pod B.
(c) When does the population in Pod B exceed the population in Pod A? Explain.
Pob B exceeds the population of Pod A at the END OF MONTH 4.
Pod A has a population of less than 200 while Pod B has a population of 469.</span>
Answer:
the answer is 363.1 i used a calculater to find the answer. so 356.3+ 6.8 = 363.1 so x=363.1
Step-by-step explanation:
Answer:
762 centimeters
Step-by-step explanation:
One feet equals to 30.48