Answer:
13.695 m
Step-by-step explanation:
The assumption made here is that the boat/water interface is essentially frictionless, so that the center of mass of the system remains in the same place as the occupant of the boat moves around.
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We can find the sum of the moments of boat and child about the pier end:
(46 kg)(7.6 m) + (80 kg)((7.6 +9.6/2) m) = 1341.6 kg·m
After the child moves, the center of mass of boat and child is presumed to remain in the same place. If x is the new distance from the pier to the child, the sum of moments is now ...
46x +80(x-4.8)* = 1341.6
126x -384 = 1341.6
x = (1341.6 +384)/126 = 13 73/105 ≈ 13.695 . . . meters
The child is about 13.695 meters from the pier when she reaches the far end of the boat.
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* The center of mass of the boat alone is half its length closer to the pier than is the child, so is located at x-4.8 meters.
Answer:
C) 25
Step-by-step explanation:
First, solve for the height (red dotted line) using the Pythagorean theorem 9²+b²=15²
81+b²=225
b²=225-81
b²=12
Then set up a ratio.
x/12=9/15
simplify
x/12=3/5
cross-multiply
3x=60
x=20
This gives us the base. Now we can solve for x using the Pythagorean theorem again.
20²+15²=x²
400+225=x²
625=x²
√x²=√625
x=25
Answer:
The answer would be B. 12 + 6n is greater than or equal to 30, so n is less than or equal to 3.
explanation:
I'm bad with explaining things, but I'll try my best to explain why this is the right answer.
12 + 6n ≥ 30, so n ≤ 3
let's start with the 12 at the beginning of the inequality, Annie already has $12, so the 12 in the inequality shows the amount of money she already has being added to the $6 per hour of babysitting she needs to do (n).
Now for the + 6n, the plus is there to show that the $12 Annie already has is being added to the 6n. The 6n then represents the $6 Annie makes each hour and the n represents how many hours she needs to babysit in order to get $30. The 6 is being multiplied by the amount of hours she needs to babysit to show how much money Annie would make. Then you add on the $12 she already has.
Annie then needs at least $30, but if she makes more than $30 then she will simply have more money than needed, therefore you use the greater than or equal to sign to show that she can have more money than just $30 after working.
I hope this helps, and sorry if my explanation is hard to understand lol.
Answer:
X1 2/7
Step-by-step explanation:
Less than or equal to first equation (solid line)
less tha second equation ( the dotted line)
so its d
