Final answer:
A baseball pitcher has pitched 12 2/3 innings and the length of the side of a square that has an area of 10 square yards can be named in different ways.
Step-by-step explanation:
1. A baseball pitcher has pitched 12 2/3 innings.
The names that apply to this number are:
- 12 and 2/3 innings
- 38/3 innings (since 2/3 can be written as 2 multiplied by 1/3 which is equal to 6/3, so 6/3 + 6/3 + 6/3 = 18/3 = 6 innings, and 12 innings + 6 innings = 18 innings, and 18 innings + 20 innings = 38 innings, so 38/3 innings)
2. The length of the side of a square that has an area of 10 square yards.
The names that apply to this number are:
- √10 yards (since the square root of the area gives us the length of one side of the square)
- √360 square inches (since 1 yard = 36 inches, the area in square yards can be converted to square inches by multiplying it by 36^2 which is equal to 1296, so the square root of 1296 is √1296 square inches, which is equal to 36 square inches, so √10 square yards is equal to 36√10 square inches)