PLEASE HELP!!!!!

A button with a diameter of 6 cm is made from a circular banner. The scale factor of the reduction was 1/6 . What was the diameter of the original banner? Why

Respuesta :

Answer:

36cm

Step-by-step explanation:

If the current banner is a reduction of 1/6, then you have to expand it by the reciprocal. 6/1 *6 =36.

Answer:

36 cm.

Step-by-step explanation:

It is given that A button with a diameter of 6 cm is made from a circular banner. The scale factor of the reduction was 1/6 .

Let [tex]d[/tex] be the diameter of the original banner.

The scale factor of the reduction was 1/6 . It means,

[tex]\text{New diameter}=\frac{1}{6}\times \text{Original diameter}[/tex]

[tex]6=\frac{1}{6}\times d[/tex]

Multiply both sides by 6.

[tex]36=d[/tex]

Hence, the diameter of the original banner is 36 cm.