Let the length of the longer piece be 3x units. Then the length of the shorter piece is 2x units.
According to the given information, we have:
3x + 2x = \sqrt(250)
5x = \sqrt(250)
x = \frac{\sqrt(250)}{5}
x = \sqrt(10)
Therefore, the length of the longer piece is 3x = 3 * \sqrt(10) = \sqrt(100) = 10 units.
A rope is \sqrt(250)units long. The rope is cut into two pieces, so the length of the pieces are in a ration of 3:2. What is the length of the longer piece expressed in simple radical form?
3 answers
wrong
Let the longer piece of the rope be 3x units long and the shorter piece be 2x units long.
According to the information given, we have:
3x + 2x = \sqrt{250}
5x = \sqrt{250}
x = \frac{\sqrt{250}}{5}
x = \frac{\sqrt{2}\sqrt{125}}{5}
x = \frac{5\sqrt{2}}{5}
x = \sqrt{2}
Therefore, the length of the longer piece is 3x = 3\sqrt{2} or 3\sqrt{2} units long.
According to the information given, we have:
3x + 2x = \sqrt{250}
5x = \sqrt{250}
x = \frac{\sqrt{250}}{5}
x = \frac{\sqrt{2}\sqrt{125}}{5}
x = \frac{5\sqrt{2}}{5}
x = \sqrt{2}
Therefore, the length of the longer piece is 3x = 3\sqrt{2} or 3\sqrt{2} units long.
3 answers