The dimensions of the length and width are 25 meters and 12. 5 meters respectively.
<h3>How to determine the values</h3>
Area of a rectangle
area of rectangle = l × w
where
l = length
w = width
Note that,
Perimeter = 2w+ l
50 = 2w + l
l = 50 - 2w
Hence,
area = w(50 - 2w)
288 = 50w - 2w²
-2w² + 50w - 288 = 0
-w² + 25w - 144 = 0
The dimension w can be found as follows;
w = - b / 2a
where
a = -1
b = 25
w = - 25 / 2 × -1
w = 12.5 meters
Then, we have that
l = 50 - 2w
Substitute the value of w
l = 50 - 2(12.5)
l = 50 - 25
I = 25 meters
Thus, the dimensions of the length and width are 25 meters and 12. 5 meters respectively.
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Answer:(-2, 2)
Step-by-step explanation:
7q² - 28 = 0
Add 28 to bothside
7q² - 28 + 28 = 0+ 28
7q² = 28
Divide bothside by 7
7q² / 7 = 28/7
q² = 4
Take the square root of bothside
√q² = ±√4
q = ± 2
q = -2 or q =2
q = (-2, 2)
Answer:
%
Explanation:
So first you have to find the total number of people.
Then we put that number in a fraction with the number of people who do not believe in the creatures.
Then we simplify it.
That is our fraction answer. In order to change it into a percent we divide the numerator by the denominator.
Then we round to the nearest hundredth (or what ever it says).
And that is our decimal. Now to change that into a percent we multiply by 100, or move the decimal to spaces to the right.
55%
And that is our percent.
- The value of the n is 8.
- There are 7 positive integers between 100 and 200 which are divisible by 14.
<u>Step-by-step explanation:</u>
The sum of first n odd positive integer is n^2. The nth odd number is 2n-1.
i.e. 1 + 3 + ........+ (2n-1) = n^2.
1 + 3 +..........+ (2n-1) = 64
n^2 = 64
n = 8.
The positive integers between 100 and 200 which are divisible by 14 are 112, 126, 140, 154, 168, 182, 196. It is obtained by the multiples of 14 between 100 and 200.
100 = 7 * 14 + 2
200 = 14 * 14 + 4. The answer is 14 - 7 = 7
The seven numbers are
14 * 8 = 112
14 * 9 = 126
14 * 10 = 140
14 * 11 = 154
14 * 12 = 168
14 * 13 = 182
14 * 14 = 196
