Given:
Irregular Shape:
Semi-circle and rectangle:
Area of a rectangle = l * w
Area of a semi-circle = (π r²)/2
Area of rectangle = 8 cm * 5 cm = 40cm²
Area of a semi-circle = (3.14 (4²))/2 = (3.14*16)/2 = 50.24/2 = 25.12cm²
4² is taken from diameter of 8cm divided by 2 to get the radius.
Total area = 40 cm² + 25.12 cm² = 65.12 cm²
Answer:
Step-by-step explanation:
8p+3f=10.39
5p+4f=10.51
subtract
3p-f=-0.12
f=3p+0.12
8p+3(3p+0.12)=10.39
17p=10.39-0.36
17p=10.03
p=10.03/17=0.59
f=3×0.59+0.12=1.77+0.12=1.89 $
or 40 p+15f-40p-32f=51.95-84.08
-17f=-32.13
f=1.89 $
Answer:
y = (-4/5)x + 12/5
Step-by-step explanation:
Slope = (4-0)/(-2-3) = 4/-5 = -4/5
y = (-4/5)x + c
When x = 3, y = 0
0 = (-4/5)(3) + c
c = 12/5
y = (-4/5)x + 12/5
5y = -x + 12
5y + x = 12
The volume of a sphere is 4/3 * pi * r³ so substitute the values in
4/3 * pi * 2³
4/3 * pi * 8
32/3 * pi
The volume is either 32/3pi units³ or 33.49 units³ (they're the same value)
I hope this helps!
Answer:
40
Step-by-step explanation:
Two ways we can solve this problem:
1. Graphically
2. Mathematically
Because you already solved it graphically, I will show you how to do so mathematically. Of course, graphically is much much easier and more efficient in this problem.
Let's break the problem down.
First, we are given a graph which contains a slope.
To find slope, we use the technique -> rise/run
Picking 2 obvious points from the graph, we can see
1st point -> (10, 20)
2nd point -> (40, 80)
Now, let's find the slope

Now, we have an equation y = 2x, where y = number of pies and x = cups of sugar
We want to find how many cups of sugar we need to bake 80 pies. Simply substitute 80 = number of pies = y
y = 2x -> 80 = 2x
Solving for x, divide both sides by 2
40 = x
We need 40 cups of sugar.