Answer: The length of the second arc is 12 feet.
Step-by-step explanation:
Since we know that
A rope is swinging in such a way that the length of the arc is decreasing geometrically,
Length of first arc = 18 feet
Length of third arc = 8 feet
Let the length of second arc be x
As we know that

Hence, the length of the second arc is 12 feet.
Answer:
Ratios describe proportions. We can always multiply across ratios, or divide across them (as long as we do it to all of them). For example, the ratio 3 : 2 is the same as 6 : 4 and 300 : 200. Accuracy Tip.
Step-by-step explanation:
Multiplicity is how many times a root repeats
factor
x(x²-8x+16)
what times wat =16 and adds to -8
-4 and -4
x(x-4)(x-4)
x(x-4)²
set to zero
x=0
x-4=0
x=4
roots are 0 ad 4
4 repeats 2 times, so has a multiplicty of 2
so
roots are 0, and 4 multiplicity 2
Unfortunately you have not included the directions. Are you supposed to solve for x? or for y?
Suppose the directions say, "Solve for x." Then, clear out the decimal fraction by mult. both sides of the given equation by 10. This will give you the solution, that is, a formula for x in terms of y.
5x (-7)y=4
y=-4/35
5x=4
x=4/5
(x, y) = (4/5, 4/35)