The fabric panels on a kite are rhombuses for the panel shown a formula for the length of the long diagonal d is d = sV3 where S is the length of a side solve the formula for S then find the value of S when d = 15 inches

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 sThat means-----> isolate the variable sDivide 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 incheswe 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