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Home » A satellite orbits Earth every 90 minutes. How many complete orbits will it make in 3 days? - Network4

A satellite orbits Earth every 90 minutes. How many complete orbits will it make in 3 days? - Network4

📅 May 20, 2026 👤 scraface

May 20, 2026

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📌 Let $ X_i $ be an indicator variable for the $ i $-th cell in a row being red. Then:

📌 Thus, the expected number of red cells in a randomly selected row is:

📌 $$Question: A triangle has side lengths of $13$, $14$, and $15$ units. What is the length of the shortest altitude drawn to the longest side?

📌 Solution: The longest side of the triangle is $15$, and the altitude drawn to this side corresponds to the smallest altitude if the area is fixed. First, compute the area using Herons formula. The semi-perimeter is:

📌 The altitude $h$ corresponding to the side of length $15$ is given by:

📌 Solution: The original triangle has side lengths $10$, $24$, $26$. First, verify it is a right triangle:

📌 So, it is a right triangle. The area is:

📌 Since the triangle remains similar, the area scales with the square of the scaling factor $k$. So:

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