Perimeter is 18 1/6 feet.
Perimeter is solved by adding the length and width of the rectangle and multiplying the sum by 2.
P = 2(l + w)
length = 5 1/3 ⇒ (5*3)+1/3 = 16/3
width = 3 3/4 ⇒ (3*4)+3/4 = 15/4
In adding fractions, make sure that the denominators are the same. Both 3 and 4 are factors of 12. So, we need to multiply each fraction to get 12.
16/3 * 4/4 = 64/12
15/4 * 3/3 = 45/12
Length + Width = 64/12 + 45/12 = (64+45)/12 = 109/12
P = 2 * 109/12
P = 218/12
P = 18 2/12 ⇒ 18 1/6 feet
The values of x and y are 8 and 10, respectively
<h3>How to determine the values of x and y?</h3>
The list of the numbers is given as:
4, 7, x, y, 11
The mean and median of the five numbers are the same.
The median is the middle number.
So, we have
Median = x
This means that
Mean = Median = x
The mean is calculated as:
Mean = Sum/Count
This gives
(4+ 7+ x+ y+ 11)/5 = x
Evaluate the sum
(22 + x + y)/5 = x
This gives
22 + x + y = 5x
Evaluate the like terms
4x = 22 + y
Based on the order of the list, we have:
7 < x < y < 11
Assume y = 10
4x = 22 + 10
This gives
x = 32/4
x = 8
Recall that:
7 < x < y < 11
This means that
7 < 8 < 10 < 11
The above is true
Hence, the values of x and y are 8 and 10, respectively
Read more about mean and median at:
brainly.com/question/14532771
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Answer:
6sqrt(2)
Step-by-step explanation:
You need to use the Right Triangle Altitude Theorem.
There are two parts to this theorem.
Here is the part you need for this problem.
If the altitude is drawn to the hypotenuse of a right triangle, the length of each leg of the right triangle is the geometric mean of the segment of the hypotenuse adjacent to the leg and the entire hypotenuse.
In this case, you end up with this proportion:
Length of leg: z
Length of entire hypotenuse = 8 + 1 = 9
Length of segment of hypotenuse adjacent to leg of interest: 8
8/z = z/9
z^2 = 72
z = sqrt(72)
z = sqrt(36 * 2)
z = 6sqrt(2)
i think the answer is 8
bc the small one is 4 and the big one is 6
and the other one is 6 so it must be 8
