a rope was 9.45 meters. the length of the first piece of rope was 1/5 of the original length. the second piece of rope was 0.12 meter longer than the third piece.how long was the second piece of rope
first .2*9.45 = 1.89
remaining length = 9.45 - 1.89 = 7.56
so
piece 2 + (piece 2 - .12) = 7.56
2 * piece 2 = 7.68
piece 2 = 3.84
To find the length of the second piece of rope, we need to determine the lengths of the first, third, and second pieces of rope.
Given that the original length of the rope is 9.45 meters, we can find the length of the first piece by multiplying the original length by 1/5:
First piece of rope = (1/5) * 9.45 meters
To find the third piece of rope, we need to subtract the length of the first piece from the original length:
Third piece of rope = 9.45 meters - (1/5) * 9.45 meters
Now, we know that the second piece of rope is 0.12 meters longer than the third piece. We can calculate the length of the second piece by adding 0.12 meters to the length of the third piece:
Second piece of rope = Length of third piece + 0.12 meters
By substituting the values we previously obtained, we can calculate the length of the second piece of rope:
Second piece of rope = [9.45 meters - (1/5) * 9.45 meters] + 0.12 meters
Calculating this expression will give us the length of the second piece of rope.