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MakcuM [25]
3 years ago
10

Find the exact length of the third side.

Mathematics
2 answers:
frez [133]3 years ago
7 0

Step-by-step explanation:

Hello there!

Use the Pythagoream theorem:

a^{2} +b^{2} =c^{2} \\4^2+2^2=c^2\\16+4=20\\x=\sqrt{20} \\x=4.472135

:)

Natali [406]3 years ago
4 0

Answer:

4.47

Step-by-step explanation:

Using Pythagorean's theorem, we know that a^{2} + b^{2} = c^{2}.

c^{2} is the hypotenuse which is what we are trying to figure out.

a^{2} and b^{2} are the measurements of the legs.

4^{2}+ 2^{2} = c^{2}

4^{2}= 16

2^{2}=4

16 + 4 = 20

20 = c^{2}

\sqrt{20} = \sqrt{c^{2} }

2\sqrt{5} = 4.47

Answer: 4.47

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Answer:

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Step-by-step explanation:

Here, the given sequence is : 400, 200, 150, 75, 25...

Now here, in the given sequence,

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So, following this pattern,

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Iliana was part of a group that was working on changing 0.4 repeated to a fraction. Each member of the group had a different ans
amm1812
\bf 0.444444444\overline{4}\impliedby \textit{and keeps on going}\\\\
-------------------------------\\\\
\textit{let's say }\boxed{x=0.444444444\overline{4}}\quad \textit{ thus }10\cdot x=4.44444444\overline{4}
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\textit{wait a minute! }4.44444444\overline{4}\textit{ is really just }4+0.444444444\overline{4}

\bf \textit{but we know }x=0.444444444\overline{4} \textit{ so then }4+0.444444444\overline{4}=\boxed{4+x}
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\textit{wait a second! }10\cdot x\implies 10x=4.444444444\overline{4}=4+x
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thus\qquad 10x=4+x\implies 10x-x=4\implies 9x=4\implies \boxed{x=\cfrac{4}{9}}

you can check in your calculator.

anyhow, to get the "recurring decimal to fraction", you start by setting to some variable, "x" in this case, then move the repeating part to the left of the point by multiplying it by some power of 10, and then do the equating.
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