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Home » \sin 45^\circ = \frac{\sqrt2}2 - Sterling Industries

\sin 45^\circ = \frac{\sqrt2}2 - Sterling Industries

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 A triangular plot of land has sides measuring 7 meters, 24 meters, and 25 meters. Is it a right triangle? If so, calculate its area.

📌 Check using Pythagorean theorem: \(7^2 + 24^2 = 25^2\)

📌 \(49 + 576 = 625\), which is true

📌 Area = \(\frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 7 \times 24 = 84\) square meters

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📌 Total volume = 40 + 60 = 100 mL

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5t = 43 - 3b \Rightarrow t = \frac{43 - 3b}{5}
Substitute into the second:
2\left(\frac{43 - 3b}{5}\right) + 5b = 31 \Rightarrow \frac{86 - 6b}{5...
Multiply through by 5:
- 6b + 25b = 155 \Rightarrow 19b = 69 \Rightarrow b = \frac{69}{19}
This is exact. So one bead costs $ \frac{69}{19} $ gold coins. But let...
Try solving again using elimination:
Multiply first equation by 5: $ 25t + 15b = 215 $
Multiply second by 3: $ 6t + 15b = 93 $
Subtract:

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