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Convert that temperature to degrees Fahrenheit.
Express your answer in degrees Fahrenheit as an integer.

The freezing point of water is depressed when mixed with ethylene glycol. Ethylene glycol is used as a de-icing fluid for windshields and aircraft and as an antifreeze in automobile engines. A mixture of [tex]$60\%[tex]$[/tex] ethylene glycol and [tex]$[/tex]40\%[tex]$[/tex] water freezes at [tex]$[/tex]-45^{\circ}C$[/tex].

Sagot :

GinnyAnsweridn
To convert the freezing point of a mixture of 60% ethylene glycol and 40% water from Celsius to Fahrenheit, we follow the formula for converting temperatures between these scales. The formula we will use is:

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

Where:
- \( F \) is the temperature in Fahrenheit,
- \( C \) is the temperature in Celsius.

Given:
[tex]\[ C = -45^{\circ}C \][/tex]

Step-by-Step Solution:

1. Substitute the given Celsius temperature into the formula:

[tex]\[ F = \left( \frac{9}{5} \times (-45) \right) + 32 \][/tex]

2. Multiply -45 by \( \frac{9}{5} \):

[tex]\[ \frac{9}{5} \times (-45) = -81 \][/tex]

3. Add 32 to the result:

[tex]\[ F = -81 + 32 \][/tex]

4. Calculate the final result:

[tex]\[ F = -49 \][/tex]

Thus, the temperature in degrees Fahrenheit is [tex]\( -49^{\circ}F \)[/tex].
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