The correct answer would be x = 4
Total area of canvas used in the cunstruction of the tent = 551 - 1 = 550 meters square.
Area of a cone = πr(r + sqrt(h^2 + r^2))
22/7 * 7(7 + sqrt(h^2 + 7^2)) = 550
7 + sqrt(h^2 + 49) = 550/22 = 25
sqrt(h^2 + 49) = 25 - 7 = 18
h^2 + 49 = 18^2 = 324
h^2 = 324 - 49 = 275
h = sqrt(275) = 16.58
The volume of the tent is the volume of a cone with base radius of 7 meter and height of 16.58 meter.
Volume of a cone = 1/3 πr^2h
= 1/3 * 22/7 * 7^2 * 16.58 = 851.3 m^3
F is proportional to 1/x^2
distance = x
A reduction of 25 percent = 0.75x
Let’s put this in place of x
F = 1/(0.75x)^2
And simplify
F = 1/0.5625x^2
So you need to find the percentage increase from 1/x^2 to 1/0.5625x^2
So what does 1/x^2 multiply by to give 1/0.5625x^2
Written as an equation it is y/x^2 = 1/0.5625x^2
Multiply both sides by x^2
y = 1/0.5625
y = 1.778 (rounded to 3 decimal points)
So the decimal multiplier is 1.778 and so the percent increase is approximately 77.8%
