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3 years ago

Given the picture, what is the length of AC? A) 4.5 B) 5 C) 7.5 D) 8

Mathematics

1 answer:

Nataly [62]3 years ago

5 0

Answer:

CD is to DE as CB is to BA

4 is to 6 as 3 is to y

1.5 is to 3 as 3 is to 4.5

AC = AB + BC

AC = AB + 3

Since AB = 4.5 then AC = 7.5

The answer is C

Step-by-step explanation:

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Answer:

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3 years ago

What is vaule of y when x=4'5

Degger [83]

Answer:

$y = 2.096$ or $y = \frac{2\sqrt5+6}{5}}$

Step-by-step explanation:

Given

$y = \frac{4}{x} + \sqrt x + 0.2 - 5x$

$x = \frac{4}{5}$

Required

Find y

$y = \frac{4}{x} + \sqrt x + 0.2 - 5x$

Substitute $x = \frac{4}{5}$

$y = \frac{4}{4/5} + \sqrt{4/5} + 0.2 - 5 * 4/5$

$y = 5 + \sqrt{4/5} + 0.2 - 4$

Collect like terms

$y = \sqrt{4/5} + 5 + 0.2 - 4$

$y = \sqrt{\frac{4}{5}} + 1.2$

Split the surd

$y = \frac{\sqrt4}{\sqrt5}} + 1.2$

$y = \frac{2}{\sqrt5}} + 1.2$

Rationalize

$y = \frac{2\sqrt5}{\sqrt5*\sqrt5}} + 1.2$

$y = \frac{2\sqrt5}{5}} + 1.2$

Take LCM and add

$y = \frac{2\sqrt5+1.2*5}{5}}$

$y = \frac{2\sqrt5+6}{5}}$

or solve as:

$y = \frac{2*2.24+6}{5}}$

$y = \frac{10.48}{5}$

$y = 2.096$

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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