Answer:
50.24 yd^2
Step-by-step explanation:
The area of a circle can be found using:
First, we need to find the radius. We have the diameter. The diameter is twice the radius, or
d=2r
We know that the diameter is 8, so we can substitute 8 in for d
8=2r
Since we are trying to find r, we need to get r by itself. To do this, divide both sides by 2.
8/2=2r/2
4=r
Now we know the radius, and can substitute 4 in for r. Also, we can substitute 3.14 in for pi.
a=3.14*4^2
Solve the exponent
a=3.14*16
Multiply
a=50.24
The area is 50.24 yards^2
The smallest 3 common multiples of 2 and 3 are 6, 12, and 18 .
The smallest 3 common multiples of 3 and 6 are also 6, 12, and 18 .
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and h(x)= 2x-8
g o h is a composition function
First we find g o h
g o h is g(h(x))
We plug in h(x) in g(x)
We replace x with 2x-8 in g(x)
To find domain we look at the domain of h(x) first
Domain of h(x) is set of all real numbers
now we look at the domain of g(h(x))
Negative number inside the square root is imaginary. so we ignore negative number inside the square root
So to find domain we set 2x - 12 >=0 and solve for x
2x - 12 >=0
add both sides by 12
2x >= 12
divide both sides by 2
x > = 6
