Answer:
Part a) [tex]s=\frac{d}{\sqrt{3}}[/tex]
Part b) [tex]s=5\sqrt{3}\ in[/tex] or [tex]s=8.7\ in[/tex]
Step-by-step explanation:
Part a) Solve the formula for S
we have
[tex]d=s\sqrt{3}[/tex]
Solve for s
That means-----> isolate the variable s
Divide by √3 both sides
[tex]\frac{d}{\sqrt{3}}=\frac{s\sqrt{3}}{\sqrt{3}}[/tex]
[tex]s=\frac{d}{\sqrt{3}}[/tex]
Part b) Find the value of S when d = 15 inches
we have
[tex]s=\frac{d}{\sqrt{3}}[/tex]
substitute the value of d=15 in in the formula and solve for s
[tex]s=\frac{15}{\sqrt{3}}[/tex]
Simplify
[tex]s=\frac{15}{\sqrt{3}}\frac{\sqrt{3}}{\sqrt{3}}[/tex]
[tex]s=5\sqrt{3}\ in[/tex] -----> exact value
[tex]s=8.7\ in[/tex] -----> approximate value
