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A tiny songbird called the blackpoll warbler migrates each fall from North America. A tracking study showed one bird flew from Vermont at map coordinates (63,45) to Venezuela at map coordinates (67,10) in three days. If each map coordinate represents 75 kilometers, how far did the bird travel? Round to the nearest kilometer.

Respuesta :

abidemiokin

Answer:

2642km

Step-by-step explanation:

Given the map coordinates o a bird during travel from Vermont at cordinate (63,45) toto Venezuela at map coordinates (67,10). In order to know how far the bird has travelled, we need to find the distance between the two coordinates first using the formula;

D = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Given x₁ = 63, y₁ = 45, x₂ = 67, y₂ = 10

[tex]D =\sqrt{(67-63)^2+(10-45)^2}\\ \\D = \sqrt{4^2+(-35)^2} \\\\D = \sqrt{16+1225} \\\\D = \sqrt{1241} \\\\D = 35.2278[/tex]

If each map coordinate represents 75 kilometers, then the birds distance in km will be 75*35.2278 = 2642.087km

Hence the birds distance in km will be 2642km to the nearest kilometers

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