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Home » Question: Compute $ an 120^\circ $ using the unit circle and trigonometric identities. - GetMeFoodie

Question: Compute $ an 120^\circ $ using the unit circle and trigonometric identities. - GetMeFoodie

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 Re-evaluate: Correct calculation should yield \( x = 50 \).

📌 Check: \( 20 \times 50 + 35 \times 100 = 1000 + 3500 = 4500 \), error in setup.

📌 Correct setup: \( 20x + 35(150 - x) = 4000 \), solve again:

📌 \( 20x + 5250 - 35x = 4000 \) simplifies to \( -15x = -1250 \), \( x = 83 \).

📌 Correct units of Product A: 50.

📌 A train travels 300 km at a speed of 100 km/h, then another 200 km at 80 km/h. What is the average speed for the entire journey?

📌 Total distance = \( 300 + 200 = 500 \) km.

📌 Time for first part = \( \frac{300}{100} = 3 \) hours.

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