Question

theo, nancy, and mary each drove separately to meet at their grandmothers house for dinner. theo drove 50 miles, nancy drove \\( \sqrt { 2,840 } \\) miles, and marys route is as shown.
approximately how many miles did mary drive to her grandmothers house?
order the distances that each family member drove to their grandmothers house from least to greatest.
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Explanation:

Step1: Calculate Mary's distance

Use the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(a = 48\) and \(b=13\).

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Step2: Compare the distances

Nancy's distance: \(\sqrt{2840}\approx53.3\), Theo's distance: \(50\), Mary's distance: \(\approx49.73\)

Answer:

Mary's distance \( < \) Theo's distance \( < \) Nancy's distance