Please help i can’t figure out the scale factor on these polygons
1 answer:
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Answer: It is about 23 feet.
Step-by-step explanation:
1. Let's call <em>x</em> the height of the mast.
2. You know that the rope is attached to a point 6 feet from the base of the mast and the rope is 24 feet long, therefore, you can draw the right triangle shown in the figure attached.
3. To calculate <em>x</em>, you must apply the Pythagorean Theorem as you can see below:
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<h3>Answer:</h3>
4 miles per hour
<h3>Step-by-step explanation:</h3>Unit rate is the rate of something per 1 unit. In other words, the unit rate is x units per 1 unit. In this situation, the unit rate is how many miles Hassan walks in 1 hour.
Proportion
First, to find the rate of anything we can set up a proportion. In the question, the rate is described as miles per hour, so the miles will be the numerator and the hours will be the denominator.
- This creates the proportion
So, the rate we are given is 12/3.
Unit Rate
To find the unit rate we need to make the denominator equal to 1. To do this, divide both the numerator and denominator by 3.
- 12/3 equals 4
- 3/3 equals 1
So, this means that the new proportion is 4/1. Next, we can add our units, which means that Hassan walks 4 miles per 1 hour.
Graph
Now we can resize the bar graph. The purple bar should be set to 4 because this represents the miles. Then, the green bar should be set to 1 because it represents the hours.