A sports company created the logo shown.

A logo is made from 3 trapezoids, each larger than the previous.

The large and medium shapes are scale drawings of the small shape. The scale factor from the large shape to the medium shape is 65% . The scale factor from the medium shape to the small shape is 40% . What is the scale factor from the large shape to the small shape?

The scale factor from the large shape to the small shape is

Respuesta :

Answer:

  26%

Step-by-step explanation:

You want the scale factor from large to small, given the factor from large to medium is 65% and from medium to small is 40%.

Scale factor

The scale factor can be computed from ...

  [tex]\dfrac{\text{small}}{\text{large}}=\dfrac{\text{medium}}{\text{large}}\times\dfrac{\text{small}}{\text{medium}}=0.65\times0.40=0.26=26\%[/tex]

The scale factor from the large shape to the small shape is 26%.