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The area of the figure is 104.52 sq inches
<h3>How to determine the area of the figure?</h3>
In the complete figure, we have:
1 Rectangle: Base = 8 in and Height = 6 in
2 semicircles: Diameter = 6 inches
The area of the figure is
Area = Area of rectangle + Sum of Areas of semicircles
This gives
Area = Base * Height + 2 * π(d/2)^2
This gives
Area = 8 * 6+ 2 * 3.14 * (6/2)^2
Evaluate
Area = 104.52
Hence, the area of the figure is 104.52 sq inches
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The maximum possible area would have a length of 24 feet and width of 12 feet.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Let x represent the length and y represent the width, hence:
Since beth has 48 ft fencing and cover 3 sides, hence:
x + 2y = 48
x = 48 - 2y (1)
Also:
Area (A) = xy
A = (48 - 2y)y
A = 48y - 2y²
The maximum area is at A' = 0, hence:
A' = 48 - 4y
48 - 4y = 0
y = 12 feet
x = 48 - 2(12) = 24
The maximum possible area would have a length of 24 feet and width of 12 feet.
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Answer:
3+(k+1)1.5= 3
Step-by-step explanation: you do 1.5 * k and 1 and get 1.5k + 1.5
then you go 3 +1.5k+1.5=?
1.5k+4.5=?
-1.5k -1.5k
4.5=-1.5
_ . _
-1.5 . -1.5
k=3
The two equations:
Daisy’s: y = 4x + 14
Donald’s: y= 2x + 26
The point of intersection is (6, 38)
This point refers to how many of passengers it will take for both equations to have have the same cost output.
Daisy’s deal is better if you have less than 6 passengers. We can tell because the line for the equation is lower than Donald’s line. Donald’d deal will be better if you have more than 6 passengers since the line is lower than daisy’s deal.