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Andreyy89
2 years ago
6

Hurry please

Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
4 0
D . be after that if yyyy is still there at work
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Sally has a piece of cloth used 1/3 of a foot of the cloth to make a pillow cover in another 4/7 of a foot of the cloth to make
iren [92.7K]

Answer:

\frac{23}{21} feets

Step-by-step explanation:

Given.

Sally started with two feets of cloth.

Total cloth = 2 feets

She used \frac{1}{3} of a foot of the cloth to make a pillow cover.

And another \frac{4}{7} of a foot of the cloth to make a table cloth.

She used total cloth to make a pillow cover and table cloth = \frac{1}{3} +\frac{4}{7}

=\frac{7+12}{21} \\=\frac{19}{21}

Total used cloth by Sally = \frac{19}{21}

The equation for remaining cloth

remaining cloth = total cloth - used cloth

remaining cloth = 2 - \frac{19}{21}

remaining cloth = \frac{2\times 21-19}{21}

remaining cloth = \frac{42-19}{21}

remaining cloth = \frac{23}{21}

Sally has remaining cloth = \frac{23}{21} feets

8 0
3 years ago
Question:-
8090 [49]

Step-by-step explanation:

\large \rm \red{\widetilde{Taking\ RHS:-}}

\rm :\longmapsto \dfrac{1}{3 + \sqrt{7}} \ + \ \dfrac{1}{\sqrt{7} + \sqrt{5}} \ + \ \dfrac{1}{\sqrt{5} + \sqrt{3}} \ + \ \dfrac{1}{\sqrt{3} + 1}

<u>Rationalizing, we get</u>

\rm :\longmapsto \dfrac{1}{3+\sqrt7} \times \dfrac{3-\sqrt7}{3-\sqrt7} + \dfrac{1}{\sqrt7 + \sqrt5} \times \dfrac{\sqrt7 - \sqrt5}{\sqrt7 - \sqrt5}

\rm + \dfrac{1}{\sqrt5 + \sqrt3} \times \dfrac{\sqrt5 - \sqrt3}{\sqrt5-\sqrt3} + \dfrac{1}{\sqrt3 + 1} \times \dfrac{\sqrt3 - 1}{\sqrt3 -1}

\rm :\longmapsto \dfrac{3 - \sqrt7}{(3)^2 - (\sqrt7)^2}

+ \dfrac{\sqrt7 - \sqrt5}{(\sqrt7)^2 - (\sqrt5)^2}

+\dfrac{\sqrt5 - \sqrt3}{(\sqrt5)^2 - (\sqrt3)^2} +

\dfrac{\sqrt3-1}{(\sqrt3)^2 - 1^2}

7 0
3 years ago
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