Answer:
y=4/5x-0.8
Step-by-step explanation:
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
Step-by-step explanation:
(1/12)^-2b x 12^-2b+2=12
12^-(-2b) x 12^-2b+2=12
12^2b+(-2b+12)=12
2b-2b+12=12
=1
The statement, m∠4 = m∠5, then then r||s is true based on the converse of corresponding angles theorem.
<h3>What is the Converse of Corresponding Angles Theorem?</h3>
Based on the converse of corresponding angles theorem, if two corresponding angles, angles 4 and 5 are congruent or equal to each other, then the lines on which they lie on, lines r and s are congruent.
Therefore, based on the converse of corresponding angles theorem, m∠4 = m∠5, then then r||s.
Learn more about the converse of corresponding angles theorem on:
brainly.com/question/7066290
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The given data of 1/4"=1' is a fixed ratio to be used to find the scale factor of the true measurement of the room. The given measurements are only on the drawing scale. To know the actual area of the room, find first the equivalent length and width. Then, you multiply them to obtain the area.
Through ratio and proportion:
<span>1/4"/1' = 312312"/length
</span>length = 1249248'
1/4"/1' = 514514"/width
width = 2058056'
Thus, the actual area of the bedroom is
A = length×width
A = (1249248')(2058056')
A = 2.57×10¹² square feet
