Answer:
see explanation
Step-by-step explanation:
Given
F = [tex]\frac{9}{5}[/tex](K - 273.15) + 32
Multiply through by 5 to clear the fraction
5F = 9(K - 273.15) + 160 ( subtract 160 from both sides )
5F - 160 = 9(K - 273.15) ← distribute
5F - 160 = 9K - 2458.35 ( add 2458.35 to both sides )
5F + 2298.35 = 9K ( divide both sides by 9 )
K = [tex]\frac{5F+2298.35}{9}[/tex]
(b)
When F = 180, then
K = [tex]\frac{5(180)+2298.35}{9}[/tex]
= [tex]\frac{900+2298.35}{9}[/tex]
= [tex]\frac{3198.35}{9}[/tex]
≈ 355.37 ( to the nearest hundredth )
