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mr Goodwill [35]
2 years ago
9

A hiker leaves her camp in the morning. She walks 9 miles west then 10 miles north. Explain how you would find how far she has t

raveled from her camp.
Mathematics
1 answer:
aniked [119]2 years ago
4 0

Answer:

About 13.45 miles ( rounded )

Step-by-step explanation:

You would use the pythagorean theorem to solve this. (a^{2}+ b^{2} = c^{2})

a^{2} would be one length of that triangle, we'll use 9.

b^{2} would be the other length of that triangle, we'll use 10.

So, now you have to square both of them.

9^{2} = 81 ( 9 x 9 )  10^{2} = 100 ( 10 x 10 )

Which you will get 81 and 100. Then you add those two numbers together.

100 + 81 = 181

Now that you have 181, you have to square root 181.

\sqrt{181}

With that you should get 13.45 miles. (rounded)

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\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&A&(~ -3 &,& -4~) 
&P&(~ -1 &,& -\frac{12}{5}~)
\end{array}
\\\\\\
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AP=\sqrt{[-1-(-3)]^2+[-\frac{12}{5}-(-4)]^2}
\\\\\\
AP=\sqrt{(-1+3)^2+(-\frac{12}{5}+4)^2}\implies AP=\sqrt{2^2+\left( \frac{8}{5} \right)^2}
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AP=\sqrt{4+\frac{64}{25}}\implies AP=\sqrt{\cfrac{164}{25}}\implies AP=\cfrac{\sqrt{164}}{\sqrt{25}}
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\bf \begin{array}{ccccccccc}
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so, let's check the ratio of AP:PB

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