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Olenka [21]
3 years ago
15

Suppose you have 3 pieces of string measuring 6 inches, 9 inches, and 12 inches. How many unique triangles can you form with the

se pieces of string?
*0
*1
*2
*infinitely many
Mathematics
1 answer:
Allushta [10]3 years ago
4 0

Answer:

2


Step-by-step explanation:

This can be easily understood with the triangle inequality theorem, which tells us that <em>"the sum of any two side of a triangle is always greater than the third side"</em>. Let's check:

  • Is 6+9 greater than 12? Yes!
  • Is 6+12 greater than 9? Yes!
  • Is 9+12 greater than 6? Yes!

So, first of all, it is possible to create triangle(s). Moreover, it also says that <em>"If longest side is less than sum of the other two sides and those two sides are NOT equal, then we have two congruent triangles which are mirror images of each other"</em>.


Hence we can create 2 triangles.

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5 0
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Step-by-step explanation:

22. It is convenient to use the graphing calculator to solve this problem. The number of days is where the exponential curve has the value 500. It is about 74.55 days. (see the first attachment)

__

23. y = 27.8112·1.18832^t (see the second attachment)

__

24. The rate of change is the difference between the base of the exponential and 1, often expressed as a percentage. The time period is the units of t.

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__

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_____

<em>Comment on graphing calculator</em>

A graphing calculator can make very short work of problems like these. It is worthwhile to get to know how to use one well.

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Answer:

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