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Does there exist a number that starts with 9876543210 and at the same time it is divisible by 2017?

In a right triangle, a line divides the right angle in the ratio \(1:2\) and the hypotenuse in the same ratio. If the length of the shorter leg of ...

If the maximum of \(S=\sqrt{\sin \alpha \sin \beta \cos \gamma}+\sqrt{\sin \beta \sin \gamma \cos \alpha}+\sqrt{\sin \gamma \sin \alpha \cos \beta}\) can be represented as ...

We are making a juice. It contains 30% cherry juice, 60% orange juice and 10% water. Unfortunately, the prices have risen. The price of the cherry juice went up by ...

\(ABC\) is an isosceles triangle with \(AC=BC\) and has an angle \(ACB=108^\circ\). If the ratio of \(\dfrac{AB}{BC}\) can be represented as ...

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