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In a given triangle ABC, a=BC, b=AC, and c=AB where ABC are angle measurements of the triangle. Can you prove that the following inequality is true? Moreover, is there any maximum value of the fraction in the center of the inequality?

In a given triangle ABC, a=BC, b=AC, and c=AB where ABC are angle measurements of the triangle. Can you prove that the following inequality is true? Moreover, is there any maximum value of the fraction in the center of the inequality?

Note by Kayu Kaou
3 years, 3 months ago

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6 1 _+ 6

4 1 __+ 5

2 1 _+ 3

2 2 __+ 4

4 1 __+ 5

2 0 __+ 20 Kayu Kaou · 3 years, 3 months ago

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6v1 4v1 2v1 2v2 4v1 2v0 Kayu Kaou · 3 years, 3 months ago

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Brilliant's physics problems this week are all about the hyperloop, a new high-speed transportation system proposed by inventor Elon Musk. The hyperloop is a tube through which capsules move at a top speed of 1,220 kilometers per hour (760 miles per hour). Our problems explore some of the technical challenges it faces as well as the benefits it provides. Kayu Kaou · 3 years, 3 months ago

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Since 24 = 8 * 3, the sum of the digits must be = 0 (mod 3), which is satisfied by the fact that the sum of the digits must be 24. Therefore, we ignore this condition, so now we need the smallest n = 0 (mod 8 ), whose sum of digits = 24. We clearly Kayu Kaou · 3 years, 3 months ago

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Determine the smallest integer that is divisible by 24 and has digit sum equal to 24. Kayu Kaou · 3 years, 3 months ago

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6 box Kayu Kaou · 3 years, 3 months ago

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