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hbghlyj
Posted at 2025-3-9 21:00:45
在 Hugging Face 搜索名称包含 math 的数据集：huggingface.co/datasets?library=library:datas … ding&search=math
如
princeton-nlp__Llama-3-Base-8B-SFT-SimPO 居然还含有 Asymptote 代码
How many square units are in the region satisfying the inequalities $y \ge |x|$ and $y \le -|x|+3$? Express your answer as a decimal.
The graph of the two inequalities is shown below:
The shaded region is the solution set to the two given inequalities. Angle $ADC$ is a right angle because $\overline{AD}$ has slope -1 and $\overline{DC}$ has slope 1, and the two slopes are negative reciprocals. Similarly, the other three angles between sides bounding the shaded region are also right angles. Since $AD=DC$ by symmetry, $ABCD$ is a square. A diagonal of the square is $BD$, which measures 3 units. So a side of the square measures $3/\sqrt{2}$ units and the area is $(3/\sqrt{2})^2=\boxed{4.5}$ square units. |
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郝酒
Posted at 2025-2-17 20:01:57
