Answer: C. 29.18 in.^3
Step-by-step explanation:
First you have to find the radius from the circumference. The formula for that is: r=C/2π
After you find the radius you can now find the volume using this formula: V = 4/3 π (C/2π)^3.
1)Find all the like terms=3x3x/6>1/3x+2
2)Multiply both sides by six=9x>2x+12
3)Move the variables to the left side and change the sign=9x-2x>12
4)Find the like terms=7x>12
5)Divide by sides by seven=x>12/7
6)Your answer is x>12/7
I hope this helps! :)
Answer:
x³ - 8x² - 11x + 148
Step-by-step explanation:
Given that x = 6 + i is a root then x = 6 - i is also a root
Complex roots occur as conjugate pairs.
The factors are therefore (x - (6 + i)) and(x - (6 - i))
Given x = - 4 is a root then (x + 4) is a factor
The polynomial is the product of the factors, that is
p(x) = (x + 4)(x - (6 + i))(x - (6 - i))
= (x + 4)(x - 6 - i)(x - 6 + i)
= (x + 4)((x - 6)² - i²)
= (x + 4)(x² - 12x + 36 + 1)
= (x + 4)(x² - 12x + 37) ← distribute
= x³ + 4x² - 12x² - 48x + 37x + 148
= x³ - 8x² - 11x + 148
Answer:
18.85
Step-by-step explanation:
The area of a circle is A= pi × r² (r being the radius)
The radius is half the diamter so the radius would be 6
Plug 6 into the equation for the radius
A = pi × 6²
A = pi ×36
A= 18.85
