Answer:
16.86 ft/s
Step-by-step explanation:
Given that
Speed of the carousel, s = 14 rpm
Distance from the carousel, d = 23 ft
To start with, we convert the given speed to revolution per second, so that
s = 14/60 rev/sec
To find the needed speed, we use the formula
v =2πnR, remember that Diameter = 2R, so we substitute D for 2R and get πnD
v = πnD, and we use this to find our needed velocity
v = 3.142 * 14/60 * 23
v = 72.266 * 14/60
v = 16.86 ft/s
Therefore the boy must run at a speed of 16.86 ft/s in order to be able to match the carousel and jump on it
Check the picture below.
bear in mind that since we have a radical in the denominator, we'd
rationalize the denominator to take it off the denominator.
r = 2 inches
total h of the cylinder = 6+6+6 = 18 inches
Answer:
x ≥ -7/2
Step-by-step explanation:
3 + 2x ≥ -4
Subtract 3 from each side
3-3 + 2x ≥ -4-3
2x ≥ -7
Divide each side by 2
2x/2 ≥ -7/2
x ≥ -7/2
Answer:
30 minutes by bus
Step-by-step explanation:
Equation: b = bus
b = (65 - 5) / 2
b = 60/2
b = 30 mins
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