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  • 23-05-2019
  • Mathematics
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What is the value of x to the nearest tenth?

What is the value of x to the nearest tenth class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 23-05-2019

ANSWER

9.7 units

EXPLANATION

According to the Pythagoras Theorem, the square of the hypotenuse is equal to the sum of the squares of the two shorter legs

[tex] {x}^{2} + {7}^{2} = {12}^{2} [/tex]

This implies that,

[tex] {x}^{2} + 49= 144[/tex]

Group similar terms,

[tex] {x}^{2} = 144 - 49[/tex]

[tex] {x}^{2} = 95[/tex]

[tex]x = \sqrt{95} [/tex]

[tex]x = 9.7 \: units[/tex]

to the nearest tenth.

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