The area of shaded-region is 8.86 cm^2
Step-by-step explanation:
We can see that there is a circle and a triangle in the given figure
In order too find the area of shaded region, we have to find the area of rectangle and circle first. The area of the shaded region will be obtained by subtracting the area of circle from the area of rectangle.
So,
<u>Area of circle:</u>
Radius = r = 1 cm
So,

<u>Area of rectangle:</u>
Length of rectangle = l = 4 cm
Width of rectangle = w = 3 cm
So,

Now,

The area of shaded-region is 8.86 cm^2
Keywords: Area, shaded regions
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Answer:
y = 25x
Step-by-step explanation:
This is a straight line, so the formula is:
y = ax + b
a is the slope and b is the y-intercept.
Slope formula:
a = (y2 - y1)/(x2 - x1)
Select two random points from the line:
- Point 1: x=2 and y=50
- Point 2: x=4 and y=100
Slope a = (100 - 50)/(4 - 2) = 50/2 = 25
=> y = 25x + b
Use one of the points to find b:
50 = 25*2 + b
=> b= 0
So the equation is y=25x
Answer:it is nonlinear and decreasing
Step-by-step explanation:
68 - 14 = 54, 54/6 = 9 hours
Answer: the 4th boy is 11
Step-by-step explanation:
Let's denote the age of the boys as: x₁, x₂, x₃, x₄.
Then,

Multiply both parts of the equation by denoting by 3:
x₁+x₂+x₃=15(3)
x₁+x₂+x₃=45
Hence,

Multiply both parts of the equation by denoting by 4:
45+x₄=14(4)
45+x₄=56
45+x₄-45=56-45
x₄=11