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Aloiza [94]
3 years ago
10

30. The table below shows the number of ants in an ant farm on different

Mathematics
1 answer:
Nitella [24]3 years ago
4 0

Answer:

a)10

b)5120

Step-by-step explanation:

Given that number of ants double after every ten days, form a table that shows numbe of ants from day 1 to day 91

Day                                                  Number of Ants

1                                                                       10

11                                                                      20

21                                                                     40

31                                                                     80

41                                                                     160

<em>51                                                                    320-----------------given</em>

<em>61                                                                    640------------------given</em>

<em>71                                                                    1280----------------given</em>

81                                                                   2560

91                                                                    5120

Using the given values for number of ants and the number of days, you can notice the trend for values of days and number of ants.After every ten days, number of ants doubles.Using this information, you can navigate backwards up to day 1 and forward up to day 91

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

Explanation:

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For a triangle to be possible, we need to be able to add any two sides and have the sum be larger than the third remaining side. This is the triangle inequality theorem.

I recommend you cutting out slips of paper with these side lengths and trying it out yourself. You'll find that a triangle cannot be formed. The 9.6 cm and the 11.6 cm sides will combine to form a straight line that is 21.2 cm, but a triangle won't form.

As another example of a triangle that can't be formed is a triangle with sides of 3 cm, 5 cm, and 8 cm. The 3 and 5 cm sides add to 3+5 = 8 cm, but this does not exceed the third side. The best we can do is form a straight line but that's not a triangle.

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