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N76 [4]
3 years ago
14

A hiker cycles 9 miles in 2/3 of an hour. Make a chart and fill it in to show how far he will bike if he maintains the same pace

for 2 hours, 3hours, 3.5 hours.
Mathematics
2 answers:
Sliva [168]3 years ago
7 0

9 miles in 2/3 of a hour.

in 1 hour = 9 X 3/2 = 18.2 miles

In 2 hrs = 27 miles

in 3 hrs = 54.6 miles

in 3.5 hrs = 63.7 miles

Arada [10]3 years ago
6 0

Answer:

2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles

Step-by-step explanation:

1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)

2.) 2 hours: 13.5 * 2 = 27 miles

3.) 3 hours: 13.5 * 3 = 40.5 miles

4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles

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From the information given, we can set up the differential equation as:

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3 0
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d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

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Therefore d=\sqrt{73} units

Therefore the length of a given line segment is \sqrt{73}cm

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