Answer:
case 1) [tex]z=10[/tex]
case 2) [tex]z=5/32[/tex]
Step-by-step explanation:
case 1) we know that
Using proportion
[tex]\frac{1}{z}=\frac{(4/5)}{8}[/tex]
solve for z
[tex]\frac{1}{z}=\frac{(4/5)}{8}\\ \\z(4/5)=8\\ \\z=8*5/4\\ \\z=10[/tex]
case 2) we know that
Using proportion
[tex]\frac{1}{z}=\frac{4}{5/8}[/tex]
solve for z
[tex]\frac{1}{z}=\frac{4}{5/8}\\ \\4z=5/8\\ \\z=5/32[/tex]
