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Home » Solve for \(\sin(\theta_2)\): - Baxtercollege

Solve for \(\sin(\theta_2)\): - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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By Pythagoras: w² + (3w)² = (10√10)² → w² + 9w² = 1000 → 10w² = 1000 →...
Length = 30, so area = 10 × 30 = 300 square meters.
A car travels from city A to city B at 60 km/h and returns at 40 km/h....
Let distance be d. Time to B = d/60, time to return = d/40.
Total distance = 2d. Total time = d/60 + d/40 = (2d + 3d)/120 = 5d/120...
Average speed = total distance / total time = 2d / (d/24) = 48 km/h.
Solve for x: log₂(x + 3) + log₂(x − 1) = 3.
Combine logs: log₂[(x + 3)(x − 1)] = 3 → (x + 3)(x − 1) = 2³ = 8.
Expand: x² + 2x − 3 = 8 → x² + 2x − 11 = 0.
Use quadratic formula: x = [−2 ± √(4 + 44)] / 2 = [−2 ± √48]/2 = [−2 ±...

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