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how long does birth control take to work - Redraw

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Alternatively, maybe a geometry problem involving a sphere and a cylinder, inspired by CERNs particles in magnetic fields. For example, a cylinder inscribed in a sphere, find the ratio of volumes. But the original had sphere vs hemisphere. Maybe a different shape.

📌 Alternatively, a question about a circular orbits circumference with a given radius, but thats similar to the first. Maybe a combination of angles and distances.

📌 Alternatively, a question about a triangle inscribed in a circle, but the original had a rectangle. Maybe a different polygon.

📌 Alternatively, using the biologists angle: a plants stem grows at 60 degrees, find the tangent... but thats too vague.

📌 Perhaps better to stick with the initial ideas, ensuring theyre distinct.

📌 Question 1: A rectangular field measuring 8 cm by 10 cm is centered within a circular trail. What is the circumference of the trail?

📌 Question 2: A triangular leaf has side lengths of 5 cm, 7 cm, and 8 cm. Determine the length of the shortest altitude.

📌 Solution: The shortest altitude corresponds to the longest side (8 cm). Compute area using Herons formula: $ s =

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The number of ways to choose 3 aces from 4 is:
Choosing 2 non-ace cards from the remaining 48:
The number of ways to choose 2 cards from 48 non-aces is:
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Since 2 specific candidates must always be included, we only need to c...
Choosing 3 members from the remaining 8 candidates:
The number of ways to choose 3 members from 8 is:
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Define the favorable region (Alice arrives before Bob):
The base and height of this triangle are both 60, so its area is:

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