<span>To minimize the perimeter you should always have a square.
sqrt(289) = 17
The dimensions should be 17 X 17
To see , try starting at length 1, and gradually increase the length.
The height decreases at a faster rate than the length increases, up until you reach a square.
Or if you want to use algebra, Say the width is 17-x
Then the length is 289/(17-x)
Now, this is bigger than 17+x, as shown here:
289/(17-x) > 17+x
289 > 289 - x^2
which is true.
so the perimeter would be bigger than 2 * (17- x + 17 + x) = 2 * (2 * 17) = 4 * 17
Again, the dimensions should be a square. 17 X 17.</span>
We apply the Pythagorean theorem twice and obtain:
12 ^ 2 = x ^ 2 + (15-d) ^ 2
9 ^ 2 = x ^ 2 + d ^ 2
We observe that it is a system of two equations with two unknowns whose solutions are:
(x, d) = (-36/5, 27/5)
(x, d) = (36/5, 27/5)
We ignore the negative solution, therefore, the solution is:
(x, d) = (36/5, 27/5)
Answer:
The length of the new fence is:
x = 36/5 meters
15% of 25 is the greatest of the two.
Answer:
25% of 15 is 3.75
15% of 25 is also 3.75
15 - 3.75 = 11.25
25 - 3.75 =21.25
Compare and then determine.
11.25 < 21.25
Answer: 0.74
Step-by-step explanation:
Given : The probability that the passengers booked for a certain flight actually show up : p=0.80
The number of passengers are randomly selected : n= 9
Binomial probability formula to find the probability of getting success in x trial :-
Then , the probability that more than 6 of them show up will be :-
Hence, the probability that more than 6 of them show up = 0.74
