Answer:
there is no collision between the particles
Step-by-step explanation:
for the first particle
x1=3sin t, y1 = 2 cos t, 0 ≤ t ≤ 2π
for the second particle
x2 = -3 + cos t, y2 = 1 + sin t, 0 ≤ t ≤ 2π
then for the collision
x1=x2 → 3*sin t = -3 + cos t → sin t= -1 + (cos t)/3→ 1+ sin t = (1/3)cos t
y1=y2 → 1 + sin t = 2 cos t → (1/3)cos t = 2 cos t →(1/3) = 2
since 1/3 ≠ 2 there is no collision between the particles
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How a day breaks, and a night falls. Do you get it? :P
Answer:
25km
Step-by-step explanation:
50 km = x km
1 hr 3 hrs
From there, you cross-multiply and solve for x.
(50 km)*(3 hrs) = (x km)*(1 hr)
x km = (50)*(3)/(1) = 150km
Now, your other question can be answered the exact same way. 30 minutes is the same as 1/2 of an hour, so just put 0.5hrs in where the 3hrs was in the previous problem. So to show you how it works once more, here are your calculations:
50 km = x km
1 hr 0.5 hrs
(50 km)*(0.5 hrs) = (x km)*(1 hr)
x km = (50)*(0.5)/(1) = 25km
I hope that helps!
Answer:
15%
Step-by-step explanation:
Since a percent is out of 100 we can make 75/500 to have the denominator of 100.
To do that you divide
500/5 = 100
and for the numerator
75/5 = 15
whatever you do to one side you must do to the other that's why I divided both sides by 5. The ending fraction would be 15/100 which is the same as 15%
Hope that helps and have a great day!