Question

Один градус шкали Цельсія дорівнюе 1,8 градуса шкали Фаренгейта, при цьому 0 градусів Цельсія відповідає 32 градусам Фаренгейта. Чи може температура виражатися одним і тим самим числом на обох шкалах? Відповідь обгрунтуйте

Answer 1

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Answer 2

Conversion Between Celsius and Fahrenheit

One degree Celsius is equal to 1.8 degrees Fahrenheit, and 0 degrees Celsius is equivalent to 32 degrees Fahrenheit. Let's calculate whether a temperature can be expressed as the same number on both scales.

To convert Celsius to Fahrenheit, the formula is: F = (C × 9/5) + 32

To convert Fahrenheit to Celsius, the formula is: C = (F - 32) × 5/9

Now, let's calculate whether a temperature can be expressed as the same number on both scales.

If we take a temperature of 40 degrees, we can convert it to Fahrenheit using the formula: F = (40 × 9/5) + 32 = 104

So, 40 degrees Celsius is equal to 104 degrees Fahrenheit.

Now, let's convert 104 degrees Fahrenheit back to Celsius using the formula: C = (104 - 32) × 5/9 = 40

As we can see, 40 degrees Celsius is equal to 104 degrees Fahrenheit, demonstrating that a temperature can indeed be expressed as the same number on both scales.