Answer:
Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
Diagonal = SQRT(8^2 + 12^2 + 30^2)
Diagonal = SQRT(64 + 144 + 900)
Diagonal = SQRT(1108)
Diagonal = 33.3 feet
Answer:
roots: 1 and 3
k = 3
Step-by-step explanation:
2 roots: p and p+2
(x-p) (x-p-2) = x² - 4x + k
x² -2px -2x + p² + 2p = x² - 2 (p+1)x + (p² + 2p) = x² -4x + k
-2 (p+1) = -4
p+1 = 2
p = 1 ... root 1
p' = 1+2 = 3 ... root 2
k = p² + 2p = 3
check: (x-1) (x-3) = x² - 4x + 3 = x² - 4x + k
Answer:
i believe u add all of them up
Step-by-step explanation: