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Home » So $\cos\theta = \sqrt3$ — no solution. Therefore, likely typo. Suppose the equation is: - AMAZONAWS

So $\cos\theta = \sqrt3$ — no solution. Therefore, likely typo. Suppose the equation is: - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 #### 1,050Question: A robotics engineer needs to program a robot to cut a 10-meter wire into pieces of 1.25 meters each. How many full pieces can the robot cut from the wire?

📌 Solution: To find the number of full pieces, divide the total length by the length of each piece:

📌 \frac{10}{1.25} = \frac{10 \times 100}{125} = \frac{1000}{125} = 8

📌 Thus, the robot can cut $\boxed{8}$ full pieces.

📌 Question: A soil scientist collects 3/4 of a liter of soil solution and uses 5/8 of a liter for testing. How much of the solution remains, in liters?

📌 \frac{3}{4} - \frac{5}{8} = \frac{6}{8} - \frac{5}{8} = \frac{1}{8}

📌 The remaining amount of soil solution is $\boxed{\frac{1}{8}}$ liters.

📌 Question: A patent attorney reviews 4 algorithms that take $2x + 1$, $x + 5$, $3x - 2$, and $4x + 3$ seconds respectively to complete. If the average time is 10 seconds, what is the value of $x$?

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