Answer:
3m
Step-by-step explanation:
Answer:
1. a. A
2. c. C
3. a. A > C
Step-by-step explanation:
<em>Absolute value is the translation of the number inside | ? | into a positive number. </em>
<em>Examples:</em>
| -245 | = 245
| -47 | = 47
| 69 | = 69
| 21 | = 21
| -4 | = 4
Answer:
- north and south sides are 38 8/9 ft long
- east and west sides are 17.5 ft long
Step-by-step explanation:
<u>Short answer</u>: area is maximized when half the cost is spent in each of the orthogonal directions. This means the east and west sides will total $350 at $20 per foot, so will be 17.5 feet. The north and south sides will total $350 at $9 per foot, so will be 38 8/9 feet.
The dimensions that maximize the area are 17.5 ft in the north-south direction by 38 8/9 ft in the east-west direction.
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<u>Long answer</u>: If x represents the length of the north and south sides, and y represents the length of the east and west sides, then the total cost is ...
10y +10y +2x +7x = 700
9x +20y = 700
y = (700 -9x)/20
We want to maximize the area:
A = xy = x(700 -9x)/20
We can do this by differentiating and setting the derivative to zero:
dA/dx = 700/20 -9x/10 = 0
350 -9x = 0 . . . . multiply by 10
x = 350/9 = 38 8/9
y = (700 -9(350/9))/20 = 350/20 = 17.5
The north and south sides are 38 8/9 ft long; the east and west sides are 17.5 ft long to maximize the area for the given cost.
The dimension of the length and width of the rectangle with the given perimeter are 33ft and 16.5ft respectively.
<h3>What are the dimensions of the rectangle?</h3>
Perimeter of rectangle is expressed as;
P = 2( l + w )
Given that;
- Perimeter P = 99ft
- Let width w = x
- Length l = 2x
We substitute into the formular above.
P = 2( l + w )
99ft = 2( x + 2x )
99ft = 2x + 4x
99ft = 6x
x = 99ft/6
x = 16.5ft
Width = x = 16.5ft
Length = 2x = 2( 16.5ft ) = 33ft
Therefore, the dimension of the length and width of the rectangle with the given perimeter are 33ft and 16.5ft respectively.
Learn more about rectangles here: brainly.com/question/27612962
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Answer:
7.22
Step-by-step explanation:
3.49+7.50+1.79= 12.78
20.00 -12.78=7.22
