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Omni-MATH / For each positive integer n, there is a circle around the origin with radius n. Rainbow Dash starts off somewhere on the plane, but not on a circle. She takes off in some direction…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

For each positive integer nn, there is a circle around the origin with radius nn. Rainbow Dash starts off somewhere on the plane, but not on a circle. She takes off in some direction in a straight path. She moves \frac{\sqrt{5}}{5}unitsbeforecrossingacircle,then5 units before crossing a circle, then \sqrt{5} units, then \frac{3 \sqrt{5}}{5}$ units. What distance will she travel before she crosses another circle?
Plain-text mathematical notation (without MathML)
For each positive integer n, there is a circle around the origin with radius n. Rainbow Dash starts off somewhere on the plane, but not on a circle. She takes off in some direction in a straight path. She moves \frac{\sqrt{5}}{5}unitsbeforecrossingacircle,then√(5) units, then \frac{3 \sqrt{5}}{5}$ units. What distance will she travel before she crosses another circle?
Original LaTeX notation
For each positive integer $n$, there is a circle around the origin with radius $n$. Rainbow Dash starts off somewhere on the plane, but not on a circle. She takes off in some direction in a straight path. She moves \frac{\sqrt{5}}{5}$ units before crossing a circle, then \sqrt{5}$ units, then \frac{3 \sqrt{5}}{5}$ units. What distance will she travel before she crosses another circle?

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Source and history

task_id
9b73c453-d776-5008-a57a-f50d53a68585
task_key
test--9b73c453-d776-5008-a57a-f50d53a68585
task_revision_id
1
config / split
/ test

Official source

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