Question

Несколько восьмиклассников при встрече приветствовали друг друга рукопожатиями.Сколько учащихся встретилось,если рукопожатий было 45?

Answer 1

Вроде бы 2025 рукопожатмй

Answer 2

Calculation of the Number of Students

To determine the number of students who met and greeted each other with handshakes, we can use the information given: there were a total of 45 handshakes exchanged.

Let's assume that each student shakes hands with every other student exactly once. In this case, we can use a mathematical formula to calculate the number of students.

The formula to calculate the number of handshakes when there are n people is given by:

Number of Handshakes = (n * (n - 1)) / 2

We can rearrange this formula to solve for the number of students:

n = (sqrt(8 * Number of Handshakes + 1) + 1) / 2

Plugging in the given number of handshakes (45) into the formula, we can calculate the number of students:

n = (sqrt(8 * 45 + 1) + 1) / 2

Calculating this expression, we find that the number of students who met and greeted each other is approximately 10.

Please note that this calculation assumes that each student shakes hands with every other student exactly once. If there were any additional handshakes or if some students did not participate in the handshakes, the result may be different.