2 round fountains which are silimiar but one measures 9'11"across and the other one measures 17'10".what would be the scale factor for the larger one?

(17 + 10/12) /( 9 + 11/12)

(204 + 10)/ (108 + 11)

214/119

thanks i appericate it happy easter.

To find the scale factor between the two round fountains, we need to compare their diameters. The scale factor is the ratio of the diameter of the larger fountain to the diameter of the smaller fountain.

First, let's convert the measurements to inches. Since there are 12 inches in a foot, we can convert the measurements as follows:
- The smaller fountain: 9 feet 11 inches = (9 × 12) + 11 inches = 107 inches.
- The larger fountain: 17 feet 10 inches = (17 × 12) + 10 inches = 214 inches.

Now, we can find the scale factor by dividing the diameter of the larger fountain by the diameter of the smaller fountain:
Scale factor = Diameter of larger fountain / Diameter of smaller fountain
= 214 inches / 107 inches
= 2.

Therefore, the scale factor for the larger fountain compared to the smaller fountain is 2. This means that the larger fountain is twice the size of the smaller fountain.