Respuesta :
Question:-
Convert 25° Celsius to Fahrenheit.
Answer:-
77° F
Explanation:-
The formula to convert Celsius to Fahrenheit is :-
[tex] \tt {F \: = {C \times ( \frac{9}{5} ) + 32}}[/tex]
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Given, C = 25
=> F = 25 × (9/5) + 32
=> F = 45 + 32
=> F = 77
Answer:
[tex] \boxed{\tt 25{}^{\circ} C = 7 7 {}^{ \circ} F}[/tex]
Explanation:
Question:
To Convert 25°C to Fahrenheit scale
Here, °C means Celsius
Given:
The value of Celsius, i.e. 25
Solution:
In relation
[tex]\boxed{ \rightarrow \tt \cfrac{{}^{\circ}C }{5} = \cfrac{ {}^\circ F-32}{9}} [/tex]
Now put the value of Celsius: [25]
[tex] \tt \implies \cfrac{25}{5} = \cfrac{ F-32}{9} [/tex]
Now Find the value of F. That would be the Fahrenheit.
Steps:
Cross Multiply:
[tex]\tt \implies25 \times 9 = 5(F-32)[/tex]
Simplify the LHS and apply Distributive property for RHS:
[tex]\tt \implies225 = 5 \: F - 160[/tex]
Flip this equation:
[tex]\tt \implies5 F - 160 = 225[/tex]
Add 160 to both sides:
[tex] \tt \implies5 F - 160 + 160 = 225 + 160[/tex]
Simplify:
[tex]\tt \implies5 F - 0 = 385[/tex]
[tex] \tt \implies \: 5 F = 385[/tex]
Divide both sides by 5:
[tex]\tt \implies \cfrac{5F}{5} = \cfrac{385}{5} [/tex]
Use Cancellation method to cancel LHS and RHS:
[tex]\tt \implies \cfrac{ {}^{1} {}^{} \cancel{5}F}{ {}^{1} \cancel5} = \cfrac{ {}^{77} \cancel{385}}{ {}^{1} \cancel5} [/tex]
[tex]\tt \implies1F = 77[/tex]
[tex]\boxed{\tt \implies{ {}^{ \circ} F} = 77}[/tex]
Hence, 25°C is equal to 77°F .
[tex] \rule{225pt}{2pt}[/tex]