Answer:
18 minutes
Step-by-step explanation:
Given that the time (T) varies directly as the number of spectators (S) and varies inversely as number of open exits (E).
Hence:
T ∝ S; T ∝ 1 / E
Let k be the constant of proportionality. This gives:
T = kS / E
when T = 12 minutes, S = 20000, E = 20. Hence:
12 = k(20000) / 20
20000k = 240
k = 12 / 1000
This gives:
T =
When S = 36000, E = 24, we are to calculate the time (T):
T = 18 minutes
(5)(2)(5)(1) could be an answer
Answer:
4.013 units
Step-by-step explanation:
We know that the volume of a cone is given by the following equation:
v = pi / 3 * r ^ 2 * h
we need to know the height, therefore we solve for h:
h = 3 * v / (pi * r ^ 2)
replacing v = 105 and r = 5
h = 3 * 105 / (3.14 * 5 ^ 2)
h = 4.013
Which means that the height measures 4.013 units
Area of shaded region = 2(4*4)=2*16=32 in squared
hope helped
Answer:
Step-by-step explanation:
2 hours × 60 km/hour = 120 km
390-120 = 270 km remaining
270 km/(3 hours) = 90 km/hour