Answer:
The area of the shaded portion of the figure is
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The shaded area is equal to the area of the square less the area not shaded.
There are 4 "not shaded" regions.
step 1
Find the area of square ABCD
The area of square is equal to

where
b is the length side of the square
we have

substitute

step 2
We can find the area of 2 "not shaded" regions by calculating the area of the square less two semi-circles (one circle):
The area of circle is equal to

The diameter of the circle is equal to the length side of the square
so
---> radius is half the diameter
substitute


Therefore, the area of 2 "not-shaded" regions is:

and the area of 4 "not-shaded" regions is:

step 3
Find the area of the shaded region
Remember that the area of the shaded region is the area of the square less 4 "not shaded" regions:
so
---> exact value
assume

substitute
Answer:
600 pieces
Step-by-step explanation:
pieces/ time(min) = (395-275) / (22-10) = 120/ 12 = 10
10= x (pieces) / 60(min) => x = 60×10 => x = 600 pieces
Answer:
x= 60
Step-by-step explanation:
if y is the other missing side
y^2 = 64^2 + 48^2
y^2 = 4,096 + 2,304
y^2 = 6,400
100^2 = x^2 +y^2
x^2 = 10,000 - 6,400
x^2 = 3,600
x = 60
Answer:
y=0.25x
We can think of k as an unknown number.
8×_=2.00
12×_=3.00
20×_=5.00
If we divide 2 with 8 we are left with 0.25.
It's the same for the other numbers so we know the constant is 0.25.
When we use the formula y=0.25x with the numbers above, it is correct.
8×0.25=2.00
12×0.25=3.00
20×0.25=5.00
Y-intercept: 3
x-intercept: 2
put (0,3) and (2,0) as points on the graph