Answer:
The answer is below
Step-by-step explanation:
Let x be the diameter of the semicircle. radius = x/2
The window is a combination of a rectangle and semicircle.
Width of window = diameter = x, let length of the window = y.
Perimeter of semicircle = πr = πx/2
Perimeter of window = x + y + y + πx/2
20 = x + 2y + πx/2
2y + x + πx/2 = 20
2y = 20 - x(1 - π/2)
y = 10 - x(1 - π/2)/2
Area of semicircle = (1/2)πr² = (1/2)π(x/2)²
Area of window = xy + (1/2)π(x/2)²
A = x(10 - x(1 - π/2)/2) + πx²/8
A = 10x - x² - πx²/4 + πx²/8
A = 10x - x² - πx²/8
The maximum area is at dA / dx = 0
dA / dx = 10 - 2x - 2πx/8
0 = 10 - 2x - πx / 4
2x + πx / 4 = 10
2.785x = 10
x = 3.59 feet
Maximum area = 10x - x² - πx²/8 = 10(3.59) - 3.59² - π(3.59²) / 8
Maximum area = 17.95 feet²
1209/197 is 6.13
I used a calculator lol
Hello there i hope you are having a good day :) Your Question : Joshua used 23 more craft sticks on his project than Candice Joshua used 41 craft sticks how many craft sticks did Candice use?
1) We know that Joshua has used 23 more craft sticks Candice as he used 41 craft sticks so we do 41 - 23 = 18.
2) How many craft sticks did candice use = 18
Hopefully that helps you ❤
<span>-4y+2=(-2)
-4y=-2-2
-4y=-4 divide both sides by -4
y=1</span>
