Answer with Step-by-step explanation:
(3.a) GCD(343,550), LCM(343, 550).
343=7×7×7
550=5×5×2×11
GCD(343,550)=1
LCM(343,550)=7×7×7×5×5×2×11=188650
(3.b) GCD(89, 110), LCM(89, 110).
89=1×89
110=5×2×11
GCD(89, 110)=1
LCM(89, 110)=89×5×2×11=9790
(3.c) GCD(870, 222), LCM(870, 222).
870=2×3×5×29
222=2×3×37
GCD(870, 222)=2×3=6
LCM(870, 222)=2×3×5×29×37=32190
Answer: 
Step-by-step explanation:
By definition, the perimeter of a rectangle is:

Where "l" is the lenght and "w" is the width.
If you solve for "l":

In this case, you know that the following expression represents the perimeter of the rectangle:

And the width of that rectanle is represented wih this expression:

Therefore, based on the explained above, you can conclude that the lenght of that rectangle is given by:

Finally, simplifying the expression, you get:

Answer:
200.131234
Step-by-step explanation:
Answer:
B. 
Step-by-step explanation:
Cos θ = Adjacent/hypotenuse
Adjacent = 7
Hypotenuse = √(23² + 7²) = √578 = 17√2
Thus:
Cos θ = 
Rationalize
Cos θ = 
Cos θ = 
Cos θ = 
72 pints equals 9 gallons
~8 pints=1 gallon~
-Hope this helped :)