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If the relationship of the sides shown in the triangular walkway can be represented by the equation 5 x squared minus 2025 equals 0., how many feet does a person walk on the portion of the walkway labeled x? Round your answer to the nearest tenth of a foot.

Sagot :

boffeemadrid

Answer:

[tex]20.1\ \text{feet}[/tex]

Step-by-step explanation:

The given relation is

[tex]5x^2-2025=0[/tex]

where [tex]x[/tex] is the portion of walkway in which the person walks

Rearranging the equation we get

[tex]5x^2=2025\\\Rightarrow x^2=\dfrac{2025}{5}\\\Rightarrow x^2=405\\\Rightarrow x=\sqrt{405}\\\Rightarrow x=20.124\approx 20.1\ \text{feet}[/tex]

The length of the portion of the walkway labeled [tex]x[/tex] is [tex]20.1\ \text{feet}[/tex].

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