Answer:
Pretty Simple!
Now that you know about ratios and all that, this is pretty tame compared to the last problem.
Now, the problem is talking 2D(2 Dimensions)
The ratio is not going to work because it has only one parameter.
Thus, we need to square it!

Thus, we have your correct ratio.
Now, we only need to do the same thing for the triangle problem. Meaning that, we need to compare the ratios, with x as the thing we are looking for.

See? X is practically handed to us.
Hope this helps!
Answer:
Nolan correctly identified the square numbers before and after 18.
The square roots of them are 4 and 5.
Clearly, square root of 18 should lie between 4 and 5 only.
He, then carefully squared 4.1, 4.2, 4.3 etc. and identified that 4.3 squared is nearer to 18.
Since, Nolan is finding estimated square root, his steps are cool and he didn't make any error.
D because 3/4 is .75 so 7.75 divided by .75 equals 10.333333333333333
We notice it diviides by 3 each time or multiplies by 1/3
common ratio is 1/3
first term is 648
so next 3 terms are 8, 8/3, and 8/9
rule is an=648(1/3)^(n-1)
The possiblities that exist:
H, H, H
H, H, T
H, T, H <----
H, T, T
T, H, H
T, H, T
T, T, H
T, T, T
The answer is 1/8. Now the problem that you gave us isn't dependent upon anything, so more specifically the answer is 1/8 independent.
Nothing has actually happened therefore no odds have been decreased or increased.