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A Woman Leaves Home And Walks 3 Mi. West, And Then 2 Mi. South. What Is The Magnitude Of Her Displacement, and what direction must she walk to head directly home? Round to the nearest whole number or degree

Sagot :

gh8186

Answer: 4 Mi Northeast

Step-by-step explanation:

  • west points left on a compass, and x points left on a graph so the value becomes x ⇒ ( 3x )
  • south points down on a compass, and y points down on a graph so the value becomes y ⇒ ( 2y )

Equation: [tex]V=3x +2 y[/tex]

Solving Steps:

1. take the sum of the square of each vector component

[tex]3^2 + 2^2 = 9 + 4 = 13[/tex]

2. take the square root of the result from from the last step

[tex]\sqrt{13}=3.60555127546[/tex]

3. round to nearest whole number as told in your question

60555127546 ⇒ 4

4. find direction to go with number

- opposite of west is east

- opposite of south is north

direction is northeast

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ans = 4 Mi Northeast

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