Using Proportionality
How do figure out the average heights and weights for sheep and cows? Also. for Bald Eagles and Canada Geese.
Dairy Cow 5 to 6 feet tall at the shoulder/weight 500lbs
Bighorn Sheep Shoulder Height: 2.5 to 3.5" 280-300 weight
Canada Goose
length: M 25-45 inches/weight: M 3-13 lbs.
Bald Eagle
length 28–40 in
weight 5.5 and 15 lb
To figure out the average heights and weights for sheep and cows, as well as for bald eagles and Canada geese, we can use proportionality.
For example, let's start with the sheep and cows. We have the following information:
Dairy Cow:
- Shoulder Height: 5 to 6 feet
- Weight: 500 lbs
Bighorn Sheep:
- Shoulder Height: 2.5 to 3.5 feet
- Weight: 280 to 300 lbs
To find the average heights and weights for sheep and cows, we can create a proportion using similar ratios:
(Height of sheep) / (Height of cow) = (Weight of sheep) / (Weight of cow)
Since we want to find the average heights and weights, we will use the average range values:
(3 feet) / (5.5 feet) = (290 lbs) / (500 lbs)
To solve for the average height of the sheep, we cross multiply:
(3 feet) * (500 lbs) = (5.5 feet) * (290 lbs)
1,000 lbs-feet = 1,595 lbs-feet
Now, we divide by the coefficient of the feet on the right side to isolate the feet on the left side:
(3 feet) = [(5.5 feet) * (290 lbs)] / (500 lbs)
(3 feet) = 1.595 feet
Therefore, the average shoulder height of the sheep would be approximately 3 feet.
Next, let's solve for the average weight of the sheep:
(Weight of sheep) = [(7 feet) * (290 lbs)] / (5.5 feet)
(Weight of sheep) = 400 lbs
Hence, the average weight of the sheep would be approximately 400 lbs.
You can use the same process to find the average heights and weights for bald eagles and Canada geese by setting up similar proportions using the provided information.