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4 years ago

Triangle ABC has side lengths 10, 14, and 26. Do the side lengths form a Pythagorean triple?

Mathematics

1 answer:

Alex Ar [27]4 years ago

8 0

10² ,+ 14² = 26²?
100+ 196 = 676?

they do not meet the Pythagorean criterion a² + b²=c so they are not a triple

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4 years ago

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To solve that question we can think by the following way:

The first letter can be any of the letters (A, C, T or G). Therefore there are 4 possibilites.
To choose the second letter of the sequence, any letter also can be chose. So, one more time, there are 4 possibilites.

Using the fundamental principle of counting, we will find out that can be formed $4\times 4 = 16$ differents sequences (for example, AA, AG, TT, TG, CT...).

Know we know that, we can generalize. If I have $n$ elements and I must choose one of them $t$ times to do a sequence, the total number of sequence that I can form will be $n^t$ .

In our question, we want to know how many DNA sequence are exactly 29 letters long. As indicated above, the answer for that is $4\times 4\times 4\times ... \times 4$ (29 times) $= 4^{29}$ .

Therefore, there are $4^{29}$ DNA sequences with exactly 29 letters long.

I hope I've helped you. =D

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4 years ago

Founder's Park is planning to add a slide. The scaled model gives the reduced measures. A slide has a width of 3.5 inches and he

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