Mathematics: 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

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The fabric panels on a kite are rhombuses for the

shayshay7874

31.12.2021

Part a) $s=\frac{d}{\sqrt{3}}$

Part b) $s=5\sqrt{3}\ in$ or $s=8.7\ in$

Step-by-step explanation:

Part a) Solve the formula for S

we have

$d=s\sqrt{3}$

Solve for s

That means-----> isolate the variable s

Divide by √3 both sides

$\frac{d}{\sqrt{3}}=\frac{s\sqrt{3}}{\sqrt{3}}$

$s=\frac{d}{\sqrt{3}}$

Part b) Find the value of S when d = 15 inches

we have

$s=\frac{d}{\sqrt{3}}$

substitute the value of d=15 in in the formula and solve for s

$s=\frac{15}{\sqrt{3}}$

Simplify

$s=\frac{15}{\sqrt{3}}\frac{\sqrt{3}}{\sqrt{3}}$

$s=5\sqrt{3}\ in$ -----> exact value

$s=8.7\ in$ -----> approximate value

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