A = LW
W = L + 6
A = 160
160 = L(L + 6)
160 = L^2 + 6L
L^2 + 6L - 160 = 0
(L + 16)(L - 10) = 0
L + 16 = 0
L = -16 (extraneous solution...not ur answer)
L - 10 = 0
L = 10 <====the length (L) = 10 yds
W = L + 6
W = 10 + 6
W = 16 < ==== width (W) = 16 yds
Answer: The length of BC ≈ 12.4 cm
Step-by-step explanation:
The first thing we need to do is to find the length of BD which we can solve for with the tangent of 20° which is the opposite side over the adjacent side.
We get tan20° = BD/8.
Solve for BD and you get BD = 8tan20°.
Now we will need to solve for the length of CD which we can get from the tangent of 40°.
We get tan40° = 8/CD
Solve for CD and you get CD = 8/tan40°.
Now that we have the lengths of BD and DC, we can simply add them together to get the length of BC.
(8tan20°) + (8/tan40°) ≈ 12.4 cm
Answer:
A = 6
So
Side A = 6
Side B = 11
Side C = 3
Side D = 13
Explanation:
To solve perimeter of a quadrilateral, you use this formula:
side A + side B + side C + side D = total perimeter.
If the four sides are A, A + 5, A – 3, and 2A + 1 then you need to solve for A.
Write out an algebraic formula with these values:
A + (A + 5) + (A – 3) + (2A + 1) = P
You also know that the total perimeter is 33, so :
A + (A + 5) + (A – 3) + (2A + 1) = 33
You can add all the A values together to combine like terms like this:
5A + 5 – 3 + 1 = 33
Solve fore A:
5A + 3 = 33
5A = 33 – 3
5A = 30
A = 30 ÷ 5
A = 6
Check your answer:
A + (A + 5) + (A – 3) + (2A + 1) = 33
(6) + ((6) + 5) + ((6) – 3) + (2(6) + 1) = 33
(6) + (11) + (3) + (13) = 33
17 + 16 = 33
33 = 33
Answer:
The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.
Step-by-step explanation:
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean 
and standard deviation 
3% of books borrowed from a library in a year are downloaded.
This means that 
SRS of 75 books.
This means that 
What are the mean and standard deviation of the sampling distribution of the proportion of downloaded books
By the Central Limit Theorem
Mean: 
Standard deviation: 
The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.
