The lengths of the sides of a triangle are in the extended ratio 3:7:8. The triangle’s perimeter is 72 in. What are the lengths
2 answers:
Answer:
Explanation:
The sides of the triangle are :
<span>24cm,28cm</span> and <span>36cm</span>
Explanation:
The ration of lengths are: <span>6:7:9</span>
Let the sides be denoted as:
<span>6x,7x</span> and <span>9x</span>
The perimeter <span>=88cm</span>
<span>6x+7x+9x=88</span>
<span>22x=88</span>
<span>x = </span>
<span>x=4</span>
The sides can be found as follows:
<span>6x=6×4=24cm</span>
<span>7x=7×4=28cm</span>
<span>9x=9×4=36c<span>m</span></span>
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Using the relation between velocity, distance and time, it is found that the rate of the current is of 3.33 mph.
<h3>What is the relation between velocity, distance and time?</h3>Velocity is distance divided by time, hence:
v = d/t
A small motorboat travels 12mph in still water. With the current, upstream, 46 miles are traveled in t hours, hence:
12 + r = 46/t
r = 46/t - 12
Downstream, the time is of t + 2 hours, hence:
12 - r = 46/(t + 2)
r = 12 - 46/(t + 2)
Hence, equaling the values for r:
46/t - 12 = 12 - 46/(t + 2)
46/t + 46/(t + 2) = 24
92t + 92 = 24t² + 48t
24t² - 44t - 92 = 0
Using a quadratic equation calculator, the solution is t = 3. Hence the rate is found as follows:
r = 46/t - 12 = 46/3 - 12 = 3.33 mph.
More can be learned about the relation between velocity, distance and time at brainly.com/question/28155966
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