Answer:
Length of the other side of the backyard is 80.4 feet.
Step-by-step explanation:
Let the dimensions of the Liam's rectangular backyard = 85 feet × a feet
Diagonal of the rectangle, AD = 117 feet
When we apply Pythagoras theorem in ΔABD,
AD² = AB² + BD²
(117)² = (85)² + BD²
a² = 13689 - 7225
a = √6464
= 80.399 feet
a ≈ 80.4 feet
Therefore, length of the other side of the backyard is 80.4 feet.
Answer:
20 quarts of 6% butterfat milk and 40 quarts of 3% butterfat milk is used to make 60 quarts of 4% butterfat milk.
Step-by-step explanation:
We are given the following in the question:
Let x quarts of 6% butterfat milk be used and y quarts of 3% butterfat milk be used to make 60 quarts of 4% butterfat milk.
Thus, we can write the equation:
Total amount of 3% butterfat milk = 60
Thus, we can write the equation:
Solving the two equation, we get,
Thus, 20 quarts of 6% butterfat milk and 40 quarts of 3% butterfat milk is used to make 60 quarts of 4% butterfat milk.