Answer:
8 ft2
Step-by-step explanation:
we know that
The diameter of the largest possible circle is equal to the length side of the square
The approximate area of the remaining board is equal to the area of the square minus the area of the circle
so
we have
------> length side of the square
-----> the radius is half the diameter
substitute the values
Round to the nearest whole number
Answer:
C
Step-by-step explanation:hope this helps have a great day =D
Answer:
The volume = 523.3 ft.³
Step-by-step explanation:
∵ Surface area of the sphere = 4πr²
∴ 4πr² = 100π
∴ 4r² = 100 ⇒ r² = 100/4 = 25
∴ r = √25 = 5 ft.
∵ Its volume = 4/3 πr³
∴ Its volume = (4/3) × π × 5³ = 523.3 ft.³
Answer:
x^3 - 2x^2 + 9x - 18.
Step-by-step explanation:
The complex roots occur in conjugate pairs so there are 3 roots 2, 3i and -3i.
So we have:
P(x) = (x - 2)(x - 3i)(x + 3i)
= (x - 2)(x^2 - 9i^2)
= (x - 2)(x^2 - 9*-1)
= (x - 2)(x^2 + 9)
= x^3 + 9x - 2x^2 - 18
= x^3 - 2x^2 + 9x - 18.