Answer:
Perimeter = 156
Area = 1029
Step-by-step explanation:
Perimeter = 65 +42 49
P = 156
Area = 49*42/2
A = 1029
Answer:
The flight was 137.45 miles farther than the direct path.
(make slight changes if directions were given on how to round. This is to the nearest hundredth)
Step-by-step explanation:
Use the Law of Cosines.
c^2=
a^2+b^2-2abcosC
You know two sides and the angle in between. The Law of Cosines will give us the third side.
The third side is the direct path of the airplane. We'll add the two other given sides to find the detour route that they took instead.
Then subtract the smaller number (direct route) from the actual route. See image.
Let
n-------> the number of nickels
q------> the number of quarters
we know that

so
----> equation A
----> equation B
substitute equation B in equation A
![0.05n+0.25[3n]=1.60](https://tex.z-dn.net/?f=0.05n%2B0.25%5B3n%5D%3D1.60)



Find the value of q

therefore
<u>The answer part a) is</u>
the number of nickels are
and the number of quarters are 
<u>the answer Part b) is</u>
The expressions that represents the number of quarters is
Answer:
a. No
b. Yes
c. No
d. Yes
e. Yes
Step-by-step explanation:
3(x+2) simplified is equal to (3)x+(3)2 which is simplified to 3x+6.
a. 3x+2 is not the same as 3x+6 so it is false.
b. 3(2+x) is simplified to (3)2+3(x) which is simplified to 6+3x or 3x+6 which is equal to 3x+6 so it is true.
c. 3x+2x is simplified to 5x which is not equal to 3x+6 so it is false.
d. x+2x+2+4 is simplified to 3x+6 which is equal to 3x+6 so it is true.
e. x+x+x+1+1+1+1+1+1 is simplified to 3x+6 which is equal to 3x+6 so it is true.
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It is a function. Every x value is different.