Answer:
4 m
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
12 pi = 1/3 pi (3)^2 x
12 pi = 1/3 pi 9 x
12 pi = 3pi x
Divide each side by 3 pi
12 pi / 3pi = 3pix/ 3pi
4 =x
Answer:
25 nautical miles
Step-by-step explanation:
We need to find the rate. We can do so using the formula, distance = rate * time
d= rt
We know the distance and the time, so we need to solve for the rate
d/t = rate
d= 150 nautical miles
t = 6 hours
d/t = 150 nautical miles /6 hours
rate = 25 nautical miles per hour
So in 1 hour we can go 25 nautical miles
Answer:
20a (less than or equal to) 28a
Step-by-step explanation:
PEMDAS
2a + 3= 5a
4*5a=20a
2. a+1=1a
-3*1a=-3a
-3a+31= 28a
Answer:
2(3(5) - 4(2) = 14
Step-by-step explanation:
I used a calculator called MathPapa!
Step-by-step explanation:
The prize is equally likely to have been placed behind doors 1, 2, and 3, so the probabilities of D₁, D₂, and D₃ are equal.
P(D₁) = P(D₂) = P(D₃) = 1/3
The contestant initially chooses door 1, so the host will not open it.
P(H₁|D₁) = P(H₁|D₂) = P(H₁|D₃) = 0
The host will not open the door with the prize.
P(H₂|D₂) = P(H₃|D₃) = 0
The remaining probabilities for each door are equal.
P(H₂|D₁) = P(H₃|D₁) = 1/2
P(H₃|D₂) = 1
P(H₂|D₃) = 1
