Answer:
$1530
Step-by-step explanation:
Length of lace for one lampshade would be equal to the circumference of the conical base.
Circumference of conical base = length of arc of sector with central angle [tex] \theta [/tex]= (360° - 100°) = 260°.
[tex]l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ = \frac{ 260 \degree}{360 \degree} \times 2 \times 3.14\: \times 30 \\ = \frac{ 13 }{18 } \times 3.14\: \times 60 \\ =\frac{ 13 \times 31.4}{3 } \\ = \frac{408.2}{3} \\ = 136.07 \: cm \\ = 1.36 \: m \\ length \: of \: lace \: for \: one \: lampshade \\ = 1.36 \: m \\ \therefore \: length \: of \: lace \: for \: 1500 \: lampshades \\ = 1500 \times 1.36 = 2,040 \: m \\ cost \: of \: lace = 2040 \times 0.75 \\ \purple{ \boxed{ \bold{\therefore \:cost \: of \: lace = \$ 1530}}} \\ [/tex]
