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A parade route must start and end at the intersections shown on the map. The city requires that the total distance of the route cannot exceed 3 miles. A proposed route is shown. Answer parts​ a-c.

a. Why does the proposed route not meet the​ requirement?

The length of the part of the parade along Broadway is about
nothing ​units, or
nothing miles. The length of the part of the parade along Central Avenue is about
nothing ​units, or
nothing miles. The total length of the parade is then about
nothing ​units, or
nothing miles.
​(Round to two decimal places as​ needed.)

A parade route must start and end at the intersections shown on the map The city requires that the total distance of the route cannot exceed 3 miles A proposed class=

Respuesta :

akposevictor
  • The proposed route does not meet the requirement since the total distance of the route is 12.37 miles. It has exceeded 3 miles.
  • Length of path along Broadway is 6.71 units or 6.71 miles.
  • Length of path along Central Avenue is 5.66 units or 5.66 miles.

  • Apply the distance formula to determine the length of the parade along Broadway and along Central Avenue.

  • Distance formula is:

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

  • Length of part along Broadway = distance between [tex](12, 3) $ and $ (6, 0)[/tex]

Let,

[tex](12, 3) = (x_1, y_1)\\(6, 0) = (x_2, y_2)[/tex]

  • Plug in the values

[tex]d = \sqrt{(0-3)^2 + (6-12)^2}\\d = \sqrt{(-3)^2 + (-6)^2}\\d = \sqrt{9 +36}\\d = \sqrt{45}\\d = 6.71[/tex]

Length of the part along Broadway is 6.71 units or 6.71 miles.

  • Length of part along Central Avenue = distance between [tex](2, 4) $ and $ (6, 0)[/tex]
  • Let,

[tex](2, 4) = (x_1, y_1)\\(6, 0) = (x_2, y_2)[/tex]

  • Plug in the values

[tex]d = \sqrt{(0-4)^2 + (6-2)^2}\\d = \sqrt{(-4)^2 + (4)^2}\\d = \sqrt{16 +16}\\d = \sqrt{32}\\d = 5.66[/tex]

Length of the part along Central Avenue is 5.66 units or 5.66 miles.

  • Total length of the parade = length of the part along Broadway + length of the part along Central Avenue

Total length of the parade [tex]= 6.71 + 5.66\\[/tex]

[tex]= 12.37[/tex]

Total length of the parade = 12.37 units or 12.37 miles.

  • The proposed route does not meet the requirement because the total distance of the route is 12.37 miles, which is more than 3 miles.
  • Length of path along Broadway is 6.71 units or 6.71 miles.
  • Length of path along Central Avenue is 5.66 units or 5.66 miles.

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https://brainly.com/question/21107278

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