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Yakvenalex [24]
3 years ago
7

Can you construct a triangle that has side lengths 8 m 10 m and 19 m

Mathematics
1 answer:
Alexxandr [17]3 years ago
4 0

Answer:

NO

Step-by-step explanation:

Draw a triangle and label the sides a, b and c. Now we must know the rule you can use for drawing any triangle:

A+B> c

A+C>B

B+C>A

Sub you numbers into the rule:

8+10, is it greater that 19?

No, 8+10=18 and 18<19

This is proof that you can not draw a triangle with the side lengths of 8m, 10m and 19m.

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A number has only 1 factor pair. One of its factors is twice the other factor. What is the number? Explain.
Mrrafil [7]
<h3>Answer:  2</h3>

========================================================

Explanation:

If a number only has one factor pair, then that number must be prime. This is because prime numbers only have factors of 1 and the number itself.

For instance, the value 7 is prime because the only factors of this are 1 and 7.

For something like the number 32, it is composite and not prime because it has the factors {1,2,4,8,16,32} and it leads to these three factor pairs: 1*32, 2*16, 4*8. This is one example showing why the answer isn't composite.

-----------

Let's say that p is the unknown prime we want to find. The factors of this are 1 and p. We're told that "one of the factors is twice the other factor", so that must mean p = 2*1 = 2. We can see that 2 is twice that of 1.

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3 years ago
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3 years ago
Snow is falling at a rate of 2.5 inches per hour.At this rate, how long will it take 8 inches of snow to fall?
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Answer:

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Step-by-step explanation:

You can solve this be going "backwards".

You have 2.5 inches of snow falling per hour for x hours until you get 8 inches of snow, which can be represented like this:

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Answer:

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