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katrin [286]
3 years ago
14

1. A right angled triangle has two shorter sides and one is twice as long as the other. The hypotenuse is 25 cm long. What are t

he lengths of the shorter sides?
Mathematics
1 answer:
Semenov [28]3 years ago
7 0

Step-by-step explanation:

The hypotenuse of a right-angled triangle = 25 cm

One side is twice as long as the other.

Let the other side is x.

First side = 2x

Using Pythagoras theorem to find the lengths of the shorter sides.

x^2+(2x)^2=25^2\\\\x^2+4x^2=625\\\\5x^2=625\\\\x^2=125\\\\x=11.18\ cm

So, the other side = 11.18 cm

First side = 2(11.18) = 22.36 cm

So, the lengths of the shorter sides are 11.18 cm and 22.36 cm.

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Answer:

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Step-by-step explanation:

From the question we are told that

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substituting values

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Given that the can’s contents follow a Normal distribution then then  the probability that the mean contents of a six-pack are less than 12 oz is mathematically represented as

         P(X <  12) =  P ( \frac{X - \mu }{ \sigma_{\= x }}  < \frac{\= x - \mu }{ \sigma_{\= x }}  )

Generally  \frac{X  - \mu }{ \sigma_{ \= x }}   =  Z (The  \ standardized \  value \ of  \ X )

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         P(X <  12) =  P ( Z < \frac{\= x - \mu }{ \sigma_{\= x }}  )

substituting values

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=>   P(X <  12) =  0.99286

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