To calculate the amount of water used for washing dishes out of the overall 20 liters used by the people of South Avenue, we need to find the fraction of the total angle that washing dishes occupies and then use that fraction to determine the amount of water used.
Let's first find the fraction of the total angle occupied by washing dishes:
Total angle = 360 degrees (a full circle) Angle for washing dishes = 96.12 degrees
Fraction of total angle occupied by washing dishes = (Angle for washing dishes) / (Total angle) Fraction = 96.12 / 360 ≈ 0.267
Now, we'll find the amount of water used for washing dishes:
Amount of water used for washing dishes = Fraction of water used for washing dishes * Total water used Amount of water used for washing dishes = 0.267 * 20 liters ≈ 5.34 liters
So, approximately 5.34 liters of water were used for washing dishes out of the overall 20 liters used by the people of South Avenue.