Respuesta :

#19, exact: 1.1892, aprox is 4root2

#20 exact: 1.0416 aprox is 17root2

#21 Exact: 1.0594 aprox is 12root2

#22 exact:1.1486 aprox is 5root2

Answer:

19)

[tex]\text{Exact: } 4\sqrt{2} \text{ km}\\\text{Approximate: } 5.66 \text{ km}[/tex]

20)

[tex]\text{Exact: } 17\sqrt{2} \text{ mi}\\\text{Approximate: } 24.04 \text{ mi}[/tex]

21)

[tex]\text{Exact: } 12\sqrt{2} \text{ ft}\\\text{Approximate: } 16.97 \text{ ft}[/tex]

22)

[tex]\text{Exact: } 5\sqrt{2} \text{ cm}\\\text{Approximate: } 7.07 \text{ cm}[/tex]

Step-by-step explanation:

Diagonal of a square can be calculated as:

[tex]\text{diagonal} = \text{side} \times \sqrt{2}[/tex]

19)

[tex]\text{diagonal} = 4 \times \sqrt{2} \text{ km} \approx 5.66 \text{ km}\\\\\text{Exact: } 4\sqrt{2} \text{ km}\\\text{Approximate: } 5.66 \text{ km}[/tex]

For exact solution keep it in the radical form and for approximate solution use calculator and round.