Answer:
The length is 43 feet, the width is 15 feet, and the area is 645 square feet
Step-by-step explanation:
Let us solve the question
∵ The drawing plan shows a rectangle that is 17.2 inches by 6 inches
∴ The drawing length = 17.2 inches
∴ The drawing width = 6 inches
∵ The scale in the plan is 2 in.: 5 ft
→ By using the ratio method
→ inches: feet
→ 2 : 5
→ 17.2 : L
→ 6 : W
→ By using the cross multiplication
∵ 2 × L = 17.2 × 5
∴ 2L = 86
→ Divide both sides by 2
∴ L = 43 feet
∴ The actual length is 43 feet
→ By using the cross multiplication
∵ 2 × W = 6 × 5
∴ 2W = 30
→ Divide both sides by 2
∴ W = 15 feet
∴ The actual width is 15 feet
∵ The area of the rectangle is A = L × W
∵ L = 43 feet
∵ W = 15 feet
→ Substitute them in the rule of the area
∴ A = 43 × 15
∴ A = 645 feet²
∴ The actual area is 645 square feet
11/10= 1 1/10 hope it helps
Answer:
We are given that a manufacturer sells a product as $2 per unit.
Quantity = q units
So, Total revenue = 
Total revenue = 
So, the total revenue function is 
Marginal revenue is the derivative of the revenue functions
So, Marginal revenue = 
The marginal revenue function is 2
The constant marginal revenue function mean that the revenue earned by the addition of the output is constant.
Answer:
See attached
Step-by-step explanation:
In the questions, find the equation of the dash line then apply the appropriate inequality sign.
In the first one, take points (-3,2) and (0,1) find the gradient and slope of the line.
slope of line, m=Δy/Δx
Δy=1-2=-1
Δx= 0--3=3
m= -1/3
Finding the equation of the line;
y-1/x-0 = -1/3
3y-3 =-x
3y=-x+3
y=-1/3 x+1
The inequality can be ;
y> -1/3 x +1 or y<-1/3 x +1 depending on the shaded region as attached
In 2.
You have two graphs that provide the solution of the inequality.
In the graph represented by line 1, where you have points (-3,-4) and (-5,-5)
The slope will be,
m=-5--4/-5--3
m=-5+4/-5+3
m=-1/-2 = 1/2
The equation will be;
y--4/x--3= 1/2
y+4/x+3= 1/2
2y+8=x+3
2y=x+3-8
2y=x-5
y=1/2x -2.5
In the line with points (-3,-4) and (1,-6)
m=-6--4/1--3
m=-6+4/1+3
m=-2/4 = -1/2
Finding the equation of the line
y--4/x--3 = -1/2
2(y+4) = -1 (x+3)
2y+8 =-x-3
2y=-x-3-8
2y=-x-11
y= -1/2x-5.5
The inequality can be ;
y>1/2x + 2.5
y> -1/2x -5.5
or
y< 1/2 x +2.5
y< -1/2x-5.5
Depending on the area shaded as show in the attached graphs
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Keywords : Inequalities, graph solutions
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1:2 = 3:6
The second number is double the first.