12. Eli bought a $799
1 answer:
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Let x ft be the lenght of the fence and y ft be the width of the fence.
1. The length of the habitat should be at least 80 feet, then
2. The perimeter of the habitat should be no more than 300 feet. The perimeter of the fenceis 2x+2y ft, then
3. The system of inequalities that represent the model is
The graph of these inequalities is attached.
Two possible solutions are
- x=100 ft, y=20 ft (100≥80 and 2·100+2·20=240≤300);
- x=110 ft, y=30 ft (110≥80 and 2·110+2·30=280≤300).
Answer:
The scale factor for a model is 5 cm = 16.05 cm.
Step-by-step explanation:
Given:
Model: 9.5cm Actual : 30.5m and the scale factor for model is 5 cm.
Now, we need to find the actual shape for the scale factor 5 cm.
<em>Let the actual shape be .</em>
Now, for getting the actual shape we set for proportion:
5:x :: 9.5:30.5
5:x = 9.5:30.5
Then, convert it into fractions:
Now, <em>on cross multiplying we get:</em>
Dividing both sides by 9.5 we get:
Therefore, the scale factor for a model is 5 cm = 16.05 cm.