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Lemur [1.5K]
3 years ago
6

Two sides of a triangle have lengths 18 cm and 40 cm. Describe the possible lengths of the third side.

Mathematics
2 answers:
Reptile [31]3 years ago
6 0
Depends if it is a right triangle or not and if it is u will use the pothygerem theorem or the distance formula
bazaltina [42]3 years ago
4 0

Here, two side lengths of a triangle given, 18 cm and 40 cm.

We know that, the sum of the lengths of any two sides of a triangle is greater that the third side.

So here, let's take the third side be x.

So we can write ,

18+40 > x

58> x

x

Also we can write,

18+x > 40

We will get x by subtracting 18 to both sides. We will get,

18+x -18 >40-18

x>40-18

x>22

Also we can write,

40+x > 22

As we know 40 >22, so it is obvious 40+x will be greater than 22, as x can not be negative.

So we will take the first two parts, we have got,

x and x>22

By using both of them, we can write,

22

So we have got the required answer. Possible length of the third side is 22.

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Answer:

There is a 2.17% probability that a randomly selected person aged 40 years or older is male and jogs.

It would be unusual to randomly select a person aged 40 years or older who is male and jogs.

Step-by-step explanation:

We have these following probabilities.

A 13.9% probability that a randomly selected person aged 40 years or older is a jogger, so P(A) = 0.13.

In​ addition, there is a 15.6% probability that a randomly selected person aged 40 years or older is male comma given that he or she jogs. I am going to say that P(B) is the probability that is a male. P(B/A) is the probability that the person is a male, given that he/she jogs. So P(B/A) = 0.156

The Bayes theorem states that:

P(B/A) = \frac{P(A \cap B)}{P(A)}

In which P(A \cap B) is the probability that the person does both thigs, so, in this problem, the probability that a randomly selected person aged 40 years or older is male and jogs.

So

P(A \cap B) = P(A).P(B/A) = 0.156*0.139 = 0.217

There is a 2.17% probability that a randomly selected person aged 40 years or older is male and jogs.

A probability is unusual when it is smaller than 5%.

So it would be unusual to randomly select a person aged 40 years or older who is male and jogs.

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professor190 [17]

Answer:

x = 2.8

Step-by-step explanation:

17x+1+20x-14 = 90

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37x-13 = 90

Add 13 on both sides.

37x-13 = 90

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37x = 103

Divide both sides by 37.

37x = 103

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x = 2.8

(I rounded up, but if you need a more specific number, just search up 103 divided by 37.)

Hopefully this helps you!! Have an amazing day c:

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expeople1 [14]

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