Temperature measurements are converted between degrees Fahrenheit (F) and degrees Celsius (C) by the following formula.



The temperature in Dallas rose from the morning temperature of 46°F to the afternoon high of 72°F. What was the difference in temperature in degrees Celsius, to the nearest degree?

Respuesta :

Vladin

Answer:

14°C

Step-by-step explanation:

(°F − 32) × 5/9 = °C

(46°F − 32) × 5/9 = 7.778°C  which is about 8°C

(72°F − 32) × 5/9 = 22.222°C  which is about 22°C

22°C  - 8°C  = 14°C

The difference in temperature from morning to evening is [tex]14[/tex] °Celsius.

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

Change the morning and evening temperature from F to C.

[tex]46 \degree F[/tex]  

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

[tex](46-32)\times \frac{5}{9} = C[/tex]

[tex]14 \times \frac{5}{9} = C[/tex]

[tex]7.78 =C[/tex]

[tex]72 \degree F[/tex]  

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

[tex](72-32)\times \frac{5}{9} = C[/tex]

[tex]40 \times \frac{5}{9} = C[/tex]

[tex]22.22 =C[/tex]

The temperature in morning in degrees Celsius, to the nearest degree is

[tex]8[/tex]°C.

The temperature in evening in degrees Celsius, to the nearest degree is

[tex]22[/tex] ° C.

So, difference in temperature from morning to evening is [tex]14[/tex] ° Celsius.

Learn more about conversions here:

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