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Kyle is converting 13°F to °C. His work is shown. Is Kyle's answer correct? If not, find his mistake and determine the correct answer to the nearest degree. Given: 5 9 (°F − 32) Step 1: 5 9 (13°F − 32) Step 2: 5 9 (45) Step 3: 25° C

Respuesta :

No, Kyle's answer is incorrect because he added 32 instead of subtracting. The correct answer is −11°C.

Given:

The temperature is given in Fahrenheit (13 degree F).

To Find:

The correct temperature in Celsius.

Answer:

The temperature in Celsius is approximately -11 degree C.

Kyle has got an incorrect answer because instead of subtracting 32 form the temperature, he has added it.

Step-by-step explanation:

Any temperature can be changed from F to C by using the formula

[tex]C=(\frac{5}{9})(F-32)\\\\C=\frac{5(F-32)}{9}[/tex]

So, we will convert the given temperature in F to C by performing three simple steps.

Step 1 - We will subtract 32 from the Fahrenheit temperature.

Step 2 - Multiply this number by 5.

Step 3 - Divide the resulting number by 9.

So,

Step 1: 13-32 = -19

Step 2: -19*5 = -95

Step 3: -95/9 = -10.55 approx

Thus, the temperature in Celsius is approximately -11 degree C.

Kyle has got an incorrect answer because instead of subtracting 32 form the temperature, he has added it.

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