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tia_tia [17]
3 years ago
10

Which of these lengths CANNOT represent the sides of a triangle? {28, 30, 58} {32, 34, 60} {13, 20, 27} {2, 4, 5}

Mathematics
1 answer:
Nady [450]3 years ago
6 0

Answer:

A.\  {28, 30, 58}

Step-by-step explanation:

Required

Which of the lengths do not form a triangle

To do this, we make use of triangle inequality theorem which states that.

a + b > c

b + c > a

a + c > b

Where a,\ b\ and\ c are the sides of the triangle.

So, we have:

A.\  {28, 30, 58}

28 + 30 > 58 --- False

58 + 30 > 28 --- True

28 + 58 > 30 --- True

B.\ {32, 34, 60}

32 + 34 > 60 -- True

32 + 60 > 34 -- True

34 + 60 > 32 -- True

C.\ {13, 20, 27}

13 + 20 > 27 -- True

13 + 27 > 20 -- True

20 + 27 > 13 --- True

D.\ {2, 4, 5}

2 + 4 > 5 --- True

2 + 5 > 4 -- True

5 + 4 > 2 --- True

From the computations above, only (A) cannot form a triangle

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Animal populations are not capable of unrestricted growth because of limited habitat and food supplies. Under such conditions th
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(c)

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P(20) =\frac{1200}{1+11*e^-{0.2*20}} =\frac{1200}{1+11*e^-{4}}\\\\P(20) =\frac{1200}{1+11*0.0183}=\frac{1200}{1.2013}\\\\P(20) =999

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Solving (c): \lim_{t \to \infty} P(t)

In (b) above.

Notice that as t increases from 10 to 20 to 30, the values of e^{-ct} decreases

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{t \to \infty} = {e^{-ct} \to 0}

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P(\infty) = \frac{1200}{1 + 11 * 0}

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