Answer:
Please see the attached image.
Step-by-step explanation:
I'm assuming you've already learnt how to draw an equation in slope intercept form. The line of an inequality is drawn the same way.
The difference is that for inequalities you will have to shade.
Basically, the inequality sign will tell you which are to shade.
Greater than will mean above the line and
Less than will be below the line.
Also, if the sign is a "or equal to" sign, then the line will be solid, if not, it's dotted.
Answer:
15 + 20
Step-by-step explanation:
if it is correct then please mark as a brainlist
The perimeter is the sum of the outside dimensions.
b1 = 87 - 32 - 14 - 13 = 28 in.
Area = (32 + 28) /2 x 12 = 60/2 x 12 = 30 x 12 = 360 square inches.
Divide area by the amount 1 can covers:
360 / 50 = 7.2 cans, round up to 8 cans are needed.
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
Answer:
X=20
Step-by-step explanation:
The 3 angles all add up to 180º because they are a straight line.
3x + 80 + 2x = 180
5x + 80 = 180
5x + (80-80) = 180-80
5x = 100
5x/5 = 100/5
X=20
Hope this helps!
