Answer:
A) Dimensions;
Length = 20 m and width = 10 m
B) A_max = 200 m²
Step-by-step explanation:
Let x and y represent width and length respectively.
He has 40 metres to use and he wants to enclose 3 sides.
Thus;
2x + y = 40 - - - - (eq 1)
Area of a rectangle = length x width
Thus;
A = xy - - - (eq 2)
From equation 1;
Y = 40 - 2x
Plugging this for y in eq 2;
A = x(40 - 2x)
A = 40x - 2x²
The parabola opens downwards and so the x-value of the maximum point is;
x = -b/2a
Thus;
x = -40/2(-2)
x = 10 m
Put 10 for x in eq 1 to get;
2(10) + y = 40
20 + y = 40
y = 40 - 20
y = 20m
Thus, maximum area is;
A_max = 10 × 20
A_max = 200 m²
Answer:
0.6b - 3c
Step-by-step explanation:
Multiply 0.2 and 3b
0.2 x 3b = 0.6b
Then multiply 0.2 and 15c
0.2 x 15c = 3c
We can't add these, 3c and 6b because they have different letters.
different letter vs. different letter =
don't add
different letter vs. normal number like 5 =
dont add
same letter vs. same letter =
add
normal number vs. normal number =
add
This all goes the same for dividing, subtracting, and multiplying
I hope this helped! :)
Answer:
x=6
Step-by-step explanation:
(×+54)+5×=90
6×+54=90
90-54
6×=36
×=6
Answer: correct
Step-by-step explanation: The solution is x = –1 because .
The solution is x = 1 because .
The solution is x = 0 because .
There are no real number solutions to this equation.
Answer:
Option B.
Step-by-step explanation:
Area of the composite figure = Area of the rectangle- area of the semicircle removed
= (length × width) - 
Since diameter of the semicircle is the width of the rectangle.
So, radius of the semicircle = 
= (3.8 × 9.2) - 
= 34.96 - 5.6677
= 29.2923
≈ 29.3 in²
Therefore, area of the given composite figure is 29.3 in².
Option B is the correct option.
