Answer:
Total length of the first swing=64 m
Step-by-step explanation:
The total length of all four swings can be expressed as;
Total length of all 4 swings=Length of first swing+length of second swing+length of third swing+length of fourth swing
where;
Total length of all 4 swings=175 m
Length of first swing=x
Length of second swing=75% of length of first swing=(75/100)×x=0.75 x
Length of third swing=75% of length of second swing
Length of third swing=(75/100)×0.75 x=0.5625 x
Length of fourth swing=75% of length of third swing
Length of fourth swing=(75/100)×0.5625 x=0.421875 x
replacing;
Total length of all 4 swings
175=x+0.75 x+0.5625 x+0.421875 x
2.734375 x=175
x=175/2.734375
x=64
Total length of the first swing=x=64 m
Answer:
Step-by-step explanation:
(cylinder)
(rectangular prism)
(whole shape)
For this case we have the following expression:
(1 / x + 2) + (1 / x + 3) + (1 / X ^ 2 + 5 + 6)
Rewriting we have:
(1 / x + 2) + (1 / x + 3) + (1 / ((x + 2) * (x + 3)))
By doing common factor we have:
(1 / ((x + 2) * (x + 3))) * (x + 3 + x + 2 + 1)
Rewriting:
(1 / ((x + 2) * (x + 3))) * (2x + 6)
The sum is:
((2x + 6) / ((x + 2) * (x + 3)))
Answer:
((2x + 6) / ((x + 2) * (x + 3)))
Since we have a cubic root, we're interested in factoring cubes inside the root, so that we can take them out. If we factor 648, we have
So, we have
And the result simplifies to