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Flura [38]
2 years ago
7

Том и Эми установили будильники на своих телефонах на 6:45. Оба сигнала тревоги звучат одновременно в 6.45. Будильник Тома звучи

т каждые 9 минут. Будильник Эми звучит каждые 12 минут. В какое время оба будильника в следующий раз сработают вместе?
ПОМОГИТЕ ПОЖАЛУЙСТА​
Mathematics
1 answer:
Debora [2.8K]2 years ago
8 0

Answer:

36 минут спустя в 7:21

это проблема LCM, поэтому вот как ее решить.

Том звучит через 9, 18, 27, 36 минут после первоначального звучания.

Звуки Эми в 12, 24, 36 минут

Итак, в 7:21, через 36 минут после того, как они ушли, и Том, и Эми проснулись, и они оба опоздали.

-------------------

Translation

36 minutes later at 7:21am

this is a LCM problem so this how to solve it.

Toms sounds at 9, 18, 27, 36 minutes after it initially sounds

Amy’s sounds at 12, 24, 36 minutes

so at 721am 36 minutes after they went off both Tom and Amy when they woken up,they were both late.

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Nadia says the hypotenuse of the right triangle has a length of 73 because the Pythagorean theorem states that (28+45)squared eq
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Answer: Her solution is incorrect. The hypotenuse is 53 units

Step-by-step explanation: The error occurred when she quoted the Pythagorean theorem. She added up both sides and squared them and made the answer equal to the square of the hypotenuse. She was supposed to have squared them first, before adding up.

The Pythagorean (or Pythagoras) theorem states that the sum of the squares of two sides of a right angled triangle equals the square of the hypotenuse of the triangle. That is, in triangle ABC, if the hypotenuse is given as line AC, the Pythagoras theorem states that

AC^2 = AB^2 + BC^2

Where AC is the hypotenuse and AB and BC are the other two sides.

In Nadia’s solution, if the hypotenuse is given as 73, and the other two sides are 28 and 45, then the Pythagorean theorem properly expressed would be as follows;

73^2 = 28^2 + 45^2

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As we have determined, writing out the expression as

73^2 = (28 + 45)^2 is very incorrect as this is not the Pythagorean theorem and of course, the triangle cannot have 73 as its hypotenuse as we have determined by properly writing out the Pythagorean theorem.

The correct solution is as follows;

AC^2 = AB^2 + BC^2

AC^2 = 28^2 + 45^2

AC^2 = 784 + 2025

AC^2 = 2809

Add the square root sign to both sides of the equation

AC = 53

Therefore, the hypotenuse is 53 units

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