Answer:
47
Step-by-step explanation:
In the picture attached, the Venn diagram is shown.
We can see in the picture that the intersection between C and M (symbolized by C∩M) is made by two regions, one with 22 employees and another one with 25 employees, then 22+25 = 47 satisfy C∩M
The dimensions of the enclosure that is most economical to construct are; x = 14.22 ft and y = 22.5 ft
<h3>How to maximize area?</h3>
Let the length of the rectangular area be x feet
Let the width of the area = y feet
Area of the rectangle = xy square feet
Or xy = 320 square feet
y = 320/x -----(1)
Cost to fence the three sides = $6 per foot
Therefore cost to fence one length and two width of the rectangular area
= 6(x + 2y)
Similarly cost to fence the fourth side = $13 per foot
So, the cost of the remaining length = 13x
Total cost to fence = 6(x + 2y) + 13x
Cost (C) = 6(x + 2y) + 13x
C = 6x + 12y + 13x
C = 19x + 12y
From equation (1),
C = 19x + 12(320/x)
C' = 19 - 3840/x²
At C' = 0, we have;
19 - 3840/x² = 0
19 = 3840/x²
19x² = 3840
x² = 3840/19
x = √(3840/19)
x = 14.22 ft
y = 320/14.22
y = 22.5 ft
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Answer:
Step-by-step explanation:
We have given:
E is (-1,6) and F is (3,9)
And ratios are 3:2
We will use the section formula to find the required coordinates:
section formula=
Here,
On substituting the values in the formula we get:
Hence, required coordinates are:
