Help with this one plz

Mathematics

2 answers:

kumpel [21]3 years ago

8 0

Wouldn't it be 45? it's the minimum afterall

adelina 88 [10]3 years ago

4 0

It would be 45 minutes

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Please help me with 8, 9, and 10 thanks! Show work too

Harrizon [31]

In 8, 9, 10, all the triangles are similar, meaning corresponding sides have the same ratio.

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Can someone please help with this math question:)

Bingel [31]

Solution:

The rationalisation factor for $\frac{1}{ a - \sqrt{b} }$ is $a + \sqrt{b}$

So, let us apply it here.

$\frac{1}{5 - \sqrt{2} }$

The rationalising factor for 5 - √2 is 5 + √2.

Therefore, multiplying and dividing by 5 + √2, we have

$= \frac{1}{5 - \sqrt{2} } \times \frac{5 + \sqrt{2} }{5 + \sqrt{2} } \\ = \frac{5 + \sqrt{2} }{(5 - \sqrt{2})(5 + \sqrt{2} ) } \\ = \frac{5 + \sqrt{2} }{ {(5)}^{2} - ( \sqrt{2})^{2} } \\ = \frac{5 + \sqrt{2} }{25 - 2} \\ = \frac{5 + \sqrt{2} }{23}$