Area = perimeter + 132.
Let each side of the city be x miles long, then:-
x^2 = 4x + 132
x^2 - 4x - 132 = 0
x = [-(-4) +/- sqrt((-4)^2 - 4 * 1 *-132)] / 2
x = 13.66, -9.66 We ignore the negative
So the city has dimension of 13.66 * 13.66
13.7 * 13.7 to nearest 10th
The answer is the first one
I hope that helped
Answer:
Step-by-step explanation:
Here, the vertical space between two consecutive stairs in first 10 stairs =
⇒ The total vertical distance for 10 stairs = 
Also, The vertical space between two consecutive stairs for last 5 stairs = 
⇒ The total vertical distance for 10 stairs = 
Thus, The total vertical distance = Total vertical space for the first 10 stairs + Total vertical space for the last 5 stairs
= 
= 
= 
=
Answer: The value of x- 2y is a.
.
Step-by-step explanation:
Given: x and y are two positive real numbers such that
and
.
Consider ![(x-2y)^2=x^2-2(x)(2y)+(2y)^2\ \ \ [(a+b)^2=(a^2-2ab+b^2)]](https://tex.z-dn.net/?f=%28x-2y%29%5E2%3Dx%5E2-2%28x%29%282y%29%2B%282y%29%5E2%5C%20%5C%20%5C%20%5B%28a%2Bb%29%5E2%3D%28a%5E2-2ab%2Bb%5E2%29%5D)


Put
and
, we get


Taking square root on both sides , we get'

Hence, the value of x- 2y is a.
.
Answer:
The probability is found:
P = 24/3024 = 1/126
Step-by-step explanation:
To find total number of outcomes, we have to find permutation of 9 things taken 4 at a time:
P(9,4) = 9! / (9-3)!
P(9,4) =362880/120
P(9,4) = 3024
Number of even numbers from 0 to 9 = 4
To find desirable number of outcome, find permutation of 4 things taken 4 at a time.
P(4,4) = 4! / (4-4)!
P(4,4) = 24/1
P(4,4) = 24
The probability that the lock consists of all even digits is
P = No. of desirable outcomes / No. of total outcomes
P = 24/3024