Step-by-step explanation:
you find the blank number by finding the pattern. on number 9 the number increases by 10 every time. you find the mean by adding all the numbers on question 9 and finding the average.
example say its 0 5 10 _ 20 25
you can assume the blank is 15 because the pattern is +5
then you add all of them together which is 75
then you find the average or mean. you find this by dividing it by the numbers you started off with. with this example you divide it by 6 because we started with 6 numbers.
the mean would be 12.5
hope this helped
I am sorry, I would love to help but I am not sure. Good luck anyways. :(
Answer:
Step-by-step explanation:
imagine 38 n = lets say b
so b/b/b/b/b
and divide that by 38
The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.
Let the area be y .
Area = (base) × (height)
Base = 2x
Height = h
Let the area of the rectangular pens be y .
∴ y = 2xh
Perimeter of all the fencing = 4x+3h
∴ 4x+3h = 120
now we solve for h
3h = 120-4x
h = 40 - 4/3 x
Now we will substitute this value in the above first equation:
y = 2xh
or, y = 2x (40 - 4/3 x)
or, y = 80x - 8/3 x²
Now for the maximum area we have to find the first order differentiation of y
now,
dy /dx = 80 - 16/3 x
At dy/dx = 0 we get the value of x for which y is maximum.
80 - 16/3 x = 0
or, - 16/3 x = -80
or, x = 15 feet
Hence height = 40 - 4/3 x = 40 - 20 = 20feet
Maximum area = 2xh = 2×15×40 = 1200 square feet
The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.
Disclaimer : The missing figure for the question is attached below.
To learn more about area visit:
brainly.com/question/27531272
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