Answer:
See below.
Step-by-step explanation:
So, we have:
![3pf^2-21p^2f+6pf-42p^2](https://tex.z-dn.net/?f=3pf%5E2-21p%5E2f%2B6pf-42p%5E2)
PART A:
Find the GCF. Notice that we have a 3 in every term and a p in every term. Thus, the GCF is 3p:
![3p(f^2-7pf+2f-14p)](https://tex.z-dn.net/?f=3p%28f%5E2-7pf%2B2f-14p%29)
This is the most we can do.
PART B:
Continue from where we left off. Factor the entire expression:
![3p(f^2-7pf+2f-14p)\\3p(f(f-7p)+2(f-7p))\\3p((f+2)(f-7p))](https://tex.z-dn.net/?f=3p%28f%5E2-7pf%2B2f-14p%29%5C%5C3p%28f%28f-7p%29%2B2%28f-7p%29%29%5C%5C3p%28%28f%2B2%29%28f-7p%29%29)
There are 18 nickels and 36 total coins
18:36 is your original proportion, but we can simplify.
Divide by 2
9:18
Divide by 9.
1:2 is your final answer.
A.) is correct.
Answer:length of side a is 42
Step-by-step explanation:
The given triangle ABC is shown in the attached photo. The length of side BC is a. The length of side AC is b and the length of side AB is c = 100
The sum of the angles in a triangle is 180 degrees. Therefore.
Angle A + angle B + angle C = 180. Therefore,
20 + 35 + angle C = 180
55 + angle C = 180
Angle C = 180 - 55 = 125 degrees. To determine the length if a, we would apply the sine rule which is expressed as
a/SinA = b/SinB = c/SinC
Therefore,
a/Sin20 = 100/Sin125
aSin125 = 100sin20
a × 0.8192 = 0.342 × 100
0.8192a = 34.2
a = 34.2/0.8192
a = 41.75
Approximately 42
It was the temperature peak 89.4 without this there would be no difference.