The formula is (number of sides-2)*180 over number of sides
Each angle for hexagon is 120degree because
(6-2)*180 over 6 equals to 120
So p is 120
For q:
2q=180-120
2q=60
q=60 over 2
q=30
P+Q=120+30
=150
Answer:
a)
, b)
.
Step-by-step explanation:
a) The graphic is enclosed to the problem. By visual inspection, an absolute maximum is found.

b) The exact method consists in the application of the First and Second Derivative Tests. First and second derivatives are, respectively:


The First Derivative Test consists in equalizing the first derivative to zero and solving the expression:


According to the second derivative, the critical point leads to a maximum. The remaining component is determined by evaluation the polynomial:


The exact solution is
, indicating that graphic solution leads to a good approximation.
The minimum number of train cars needed is 8 because 112 multiplied by 8 is 896 which means 7 trains will be full and the last one will only carry 108 crates
Hi there!
Since angles 3 and 7 are corresponding angles, they are also congruent. This means that angle 3 is equal to angle 7. Therefore, the correct answer is C, 120 degrees.