Answer:
Length = 150 yards
Width = 100 yards
Step-by-step explanation:
We want 600 yards of fencing that will result in the largest 2 fenced corrals, sharing a common border.
It will take the shape of a rectangle, with a dividing fence down the center.
Let W and L, Width and Length of the larger enclosure.
See attachment.
W= Area of the larger enclosure.
The perimeter is 2W + 2L.
The dividing fence is 1W
We know that we only have 600 yards of fence, so:
2W + 2L + 1W = 600 yards
Area = W x L
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3W + 2L = 600 (yards)
2L = 600 -3W
L = (600-3W)/2
L = 300 -(3/2)W
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Use this expression in the Area calculation:
Area = W x L
Area = W x (300 -(3/2)W)
Area = 300W -(3/2)W^2)
To find the maximum area, take the first derivative and set to zero to find the value of W that results in the greatest area.
Area' = 300 -2(3/2)W)
0 = 300 - 3W
3W = 300
W = 100 yards
Since 3W + 2L = 600
L = (600 - 3W)/2
L = (600 - 3(100))/2
L = 150 yards
Area = 150*100 = 15,000 yards^2
Ok, so abc is a 3 digit number
easy
if we do
abc=x
then we have
750-x=x
add x to both sides
750=2x
divide both sides by 2
375=x
abc=375
check
750-375=375
correct
abc=375
0.abc=0.375
0.abc=0.375
that was fun
Answer:
Step-by-step Explanation:
Angle of depression is congruent to angle of elevation.
Therefore, angle of elevation of the given figure, which is opposite to x is 25°.
Adjacent length = 11 yd
Opposite length = x
Trigonometric ratio formula for finding x is shown below:
Multiply both sides by 11 to solve for x
(to the nearest tenth)
The inverse dependency ratio is an indicator that gives insight into the amount of people of nonworking age compared to the number of those of working age. It is defined as the ratio between <span>the number of </span>dependents, (aged zero to 14 and over the age of 65,) and the number of the total population, aged 15 to 64.
A high ratio means those of working age, and the overall economy, face a greater burden in supporting the aging population. <span>
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The answer is the second one
( b )
Associate property of addition
