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Iteru [2.4K]
3 years ago
14

83/9 as a mixed number

Mathematics
1 answer:
Mumz [18]3 years ago
8 0
83/9 as a mixed number is 9 2/9
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Please answer quickly,thanks you shall be marked a branliest<br>​
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Answer:

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Step-by-step explanation:

First  work out the unknown side (s) of the right triangle using the Pythagoras theorem:

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Now consider the other triangle:

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x = 12 sin 75 / sin 40

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Find the sum of the first 100 terms in the series
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Hello,

\dfrac{1}{n} - \dfrac{1}{n+1} = \dfrac{1}{n(n+1)} \\&#10;&#10; \dfrac{1}{1*2} = \dfrac{1}{1} - \dfrac{1}{2} \\&#10;&#10; \dfrac{1}{2*3} = \dfrac{1}{2} - \dfrac{1}{3} \\&#10;&#10; \dfrac{1}{3*4} = \dfrac{1}{3} - \frac{1}{4} \\&#10;&#10;...\\&#10; \dfrac{1}{n*(n+1)} = \dfrac{1}{n} - \dfrac{1}{n+1} \\&#10;&#10;&#10;&#10;

Adding member by member, we have

\dfrac{1}{1*2} + \dfrac{1}{2*3} +\dfrac{1}{3*4} +...\dfrac{1}{n*(n+1)}=\\&#10; &#10;\dfrac{1}{1}  - \dfrac{1}{n+1} \\&#10;&#10;= \dfrac{n}{n+1} \\&#10;&#10;

if n=100 sum \boxed{= \dfrac{100}{101} }


3 0
3 years ago
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