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Jesse and Mark are jogging along the route shown at a rate of 12 miles per hour. They start by jogging south along Capitol Street for 1 mile, then turn east on H Street and jog for 1.75 miles. At that point, Jesse is tired and decides to walk home along Florida Avenue at a rate of 5 miles per hour. Mark plans to jog back the way they came. Jesse wants to find out who will arrive home first and by how much time. Which statements should he consider when solving the problem? Check all that apply.

A triangle. The sides are Capitol Street, H Street, and they hypotenuse is Florida Avenue.

Jesse will walk home a distance of approximately 2.0 miles as found by evaluating 1 squared + 1.75 squared = d squared and then 1 + 3.0625 = d squared.
Jesse will take about 0.4 hours to walk the rest of the way home as found by 2.0 = 5 (t).
Jesse will walk home a distance of approximately 2.25 miles as found by 1 squared + 1.75 squared = d squared and then 2 + 3.0625 = d squared.
Mark will jog home a distance of 2.75 miles.
It will take Mark about 0.23 hours to jog home as found by 2.75 = 12 (t).
Mark will jog home a distance of 2.25 miles.
Mark will get home about 0.17 hours (or 10 minutes) sooner.
Mark will get home about 0.21 hours (or 12.5 minutes) sooner.

Respuesta :

Jesse take 0.4 hours while Mark take 0.23 hours to reach back to home. The statements which should Jesse consider when solving this situation is statement 2.

What is Pythagoras theorem?

Pythagoras theorem says that in a right angle triangle, the square of the hypotenuse side is equal to the sum of the square of the other two legs of the right angle triangle.

Jesse and Mark are jogging along the route shown at a rate of 12 miles per hour.

  • They start by jogging south along Capitol Street for 1 mile, then turn east on H Street and jog for 1.75 miles.
  • At that point, Jesse is tired and decides to walk home along Florida Avenue at a rate of 5 miles per hour.

Here, Thus, Florida Avenue is hypotenuse triangular path and the other two sides are Capitol Street and H Street. The distance of  Florida Avenue is,

[tex]1^2+1.75^2=d^2\\1+3.0625=d^2\\4.0625=d^2\\d=\sqrt{4.0625}\\d=2.0156[/tex]

Thus, Jesse walks 2.0156 with 5 miles per hour. Thus, the time taken by him is

[tex]t_J=\dfrac{2.0}{5}\\t_j=0.4\rm\;hr[/tex]

Mark plans to jog back the way they came which is 2.75 miles (1+1.75) long with speed of 12 miles per hour. Thus, the time taken  by him is

[tex]t_M=\dfrac{2.75}{12}\\t_M=0.23\rm\;hr[/tex]

Thus, Jesse take 0.4 hours while Mark take 0.23 hours to reach back to home. The statements which should Jesse consider when solving this situation is statement 2.

Learn more about the Pythagoras theorem here;

https://brainly.com/question/343682

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