Which of the following is the conjugate of a complex number with 4 as the real part and −3i as the imaginary part?
2 answers:
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2. The area for a circle is as follows:
A = π
The radius of the circle is 4 in, so we plug that into the equation.
A = π (4
)
4 = (4 in.)(4 in.) = 16
A = 16π
This is the area for the whole pizza, so divide that by 2 to get the area of the pepperoni
a) 8π
For the bacon, we can just divide the value we already have by 2, since it is half the area of the pepperoni
b) 4π
3. This question is asking for the circumference, whose equation is as follows:
C = 2 π r
We can use the area formula, A = π to find the radius of this circle
36π = π
Divide both sides by π:
36 =
Square root both sides:
r = 6 in.
Plug in this value to the circumference formula, C = 2 π r
C = (2)(π)(6 in.)
Your final answer is:
C = 12π in.
A = π
The radius of the circle is 4 in, so we plug that into the equation.
A = π (4
4
A = 16π
This is the area for the whole pizza, so divide that by 2 to get the area of the pepperoni
a) 8π
For the bacon, we can just divide the value we already have by 2, since it is half the area of the pepperoni
b) 4π
3. This question is asking for the circumference, whose equation is as follows:
C = 2 π r
We can use the area formula, A = π
36π = π
Divide both sides by π:
36 =
Square root both sides:
r = 6 in.
Plug in this value to the circumference formula, C = 2 π r
C = (2)(π)(6 in.)
Your final answer is:
C = 12π in.