Answer:
- 8π radians/second
- 527.8 meters
Step-by-step explanation:
A) The angular velocity is the ratio of angular distance to time:
ω = 1 revolution / (0.25 s) = (2π radians)/(0.25 s)
ω = 8π radians/second
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B) The arc length is ...
s = rθ = rωt
s = (35 cm)(8π rad/s)(60 s) = 16,800π cm
s ≈ 52779 cm = 527.79 m
The wheel travels about 527.8 meters in one minute.
2 1/3 + 1 3/4 = 3 10/12
5/6 = 10/12
3 10/12 + 10/12 = 3 20/12 = 4 8/12 = 4 hours 40 minutes
4 hours 5 minutes away from 10:05 would be 6 pm
subtract 35 from that and you get 5:25 pm
Answer:
The equation of the line is y = -5/2x + 25/2
Step-by-step explanation:
To find the equation of the line, we first need the slope. We can get that by using the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (5 - 0)/(3 - 5)
m = (5)/(-2)
m = 5/-2
m = -5/2
Now that we have the slope, we use the slope and the given point in point-slope form. Then we solve for y.
y - y1 = m(x - x1)
y - 0 = -5/2(x - 5)
y = -5/2x + 25/2
Answer:
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