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Home » The least common multiple of the cycle lengths is \(\boxed24\).**Question: - IQnection

The least common multiple of the cycle lengths is \(\boxed24\).**Question: - IQnection

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Solution: Since the rectangle is inscribed in the circle, its diagonal is the diameter of the circle. Using the Pythagorean theorem, the length of the diagonal $d$ is:

📌 Question: The sides of a triangle are 7 cm, 10 cm, and 13 cm. What is the length of the shortest altitude?

📌 Solution: First, we calculate the area of the triangle using Herons formula. The semi-perimeter $s$ is:

📌 If each side is decreased by 4 cm, the new side length is $16$ cm. The new area is:

📌 Question: A triangle has sides of length 10 cm, 10 cm, and 12 cm. What is the length of the altitude drawn to the base of 12 cm?

📌 Solution: This is an isosceles triangle with equal sides of 10 cm and base 12 cm. The altitude to the base divides it into two equal segments of 6 cm each. Using the Pythagorean theorem, we find the height $h$:

📌 Solution: To find the angular velocity, we use the formula:

📌 Given the period is $ 0.04 $ seconds:

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