Hi there!
Let x = 3. 72727.... ---(i)
Multiply 100 in eqn. (i)
100x = 372. 72727... ---(ii)
Subtract Eqn. (i) from (ii)
100x - x = 372. 7272... - 3. 7272...
99x = 369
x =

x =

Hence,

is th' required p-q form.
~ Hope it helps!
Answer:
A person who has height less than 5.2521 m can walk under the rope without hitting his/her head.
Step-by-step explanation:
Radius of earth = R
Length of rope around Earth = Circumference of Earth = 2πR
Now add 33 m to the length of the rope that means to increase the circumference
C = 2πR+33
Now,
C = 2πR'
⇒2πR' = 2πR+33
In order to find the height we need to find difference of the radii
⇒2πR'-2πR = 33

So, a person who has height less than 5.2521 m can walk under the rope without hitting his/her head.
2)
x^2 - 14x - 32 = x^2 - 16x + 2x - 32 = x(x-16) + 2(x-16) = (x - 16)(x + 2)
<h2>
⇒ x^2 - 14x - 32 = (x - 16)(x + 2)</h2>
---------
3)
2n^2 - 7n - 15 =
= 2n^2 - 10n + 3n - 15 =
= 2n(n - 5) + 3(n - 5) =
= (n - 5)(2n + 3)
<h2>
⇒ 2n^2 - 7n - 15 = (n - 5)(2n + 3)</h2>
---------
4)
<h2>
x^2 - 25 = (x - 5)(x + 5)</h2>