<h3>
Answers: </h3>
Width = 10 feet
Length = 40 feet
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Explanation:
W = width
L = 4W = four times the width = length
P = perimeter
P = 2*(W+L)
P = 2*(W+4W)
P = 2(5W)
P = 10W
The perimeter is 100 feet.
P = 100
10W = 100 .... plug in P = 10W
W = 100/10 .... divide both sides by 10
W = 10
The width is 10 feet.
L = 4W
L = 4*10
L = 40
The length is 40 feet.
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Check:
P = 2(L+W)
P = 2(40+10)
P = 2(50)
P = 100
or another way to check is to add up the four sides {10, 40, 10, 40}
10+40+10+40 = 50+50 = 100
This confirms the answer.
Answer:
No, it's not equivalent
Step-by-step explanation:
Try and solve the one with the bracket first. Expand 8(15-r) : 8x15 and 8x-r = 120 - 8r
Therefore, the equation can now be written as:
6r-r + 120-8r + 23-6
Rearrange the like terms together and solve the equation:
6r-r-8r + 120+23-6 = -3r + 137
Answer: (0.143, 0.257)
Step-by-step explanation:
Given : Level of significance :
Then , significance level :
Since , sample size : .
Critical value :
Also, the proportion of people said that they were fans of the visiting team :-
The confidence interval for population proportion is given by :-
Hence, the confidence interval for the population proportion with a 99% confidence level= (0.143, 0.257)
Answer:
1 1/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since the court yard is square in nature, the area of the court yard will be exprerssed as;
A = Length * Length
A(x) = L²
Given area of the court yard A(x) = x^2 - 22x + 121
x^2 - 22x + 121= L²
Factorizing the quadratic expression
(x^2 - 11x) -(11x+ 121) = L²
x(x-11)-11(x-11) = L²
(x-11)(x-11) = L²
(x-11)² = L²
Square root both sides to the length of the courtyard
√(x-11)² = √L²
L = x-11
<em>Hence the length of the courtyard is (x-11)ft</em>
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b) The perimeter of the courtyard P = 4L
P = 4(x-11)
P = 4x - 44
<em>Hence an expression for the perimeter of the courtyard is 4x-44 feet</em>