Mathematics, 21.03.2020 09:14 arielpraczko1

Two joggers run 5km north and then 12km west. What is the shortest distance to the nearest tenth of a kilometer, they must travel to return to their starting point?

Answers: 3

Show answers

Answers

Answer from: alexandraschwartz21

13km

Step-by-step explanation:

first draw it 5 up (for north) and 12 to the left(for west) , then connect end points of both straight lines.

As you can see from the attachment, right angle triangle is formed by the given information, and we have to find hypotenuse.

lets apply Pythagoras theorem to determine the shortest distance

$a^{2} +b^{2} =c^{2}$

where a=12km and b=5km

$12^{2} +5^{2} =c^{2}$

$144+25=c^{2}$

$169=c^{2}$ (taking square root on both sides)

c= 13 km.

So, 13 km is the shortest distance

Two joggers run 5km north and then 12km west. What is the shortest distance to the nearest tenth of

Answer from: elliehemms6324

The shortest distance that they must travel to return to their starting positions is 13 miles

Step-by-step explanation:

If the joggers jogged 5km due north and later jogged 12km due west; they formed a right angle triangle without their knowledge. If this action by the joggers consequently resulted in a right angle triangle, we can calculate the shortest distance that they must travel to return to their starting position by using the Pythagoras formula. The Pythagoras formula then is:

$Hyp^{2}$ = $Opp^{2} + adj^{2}$

In this case, the path the joggers took as they jogged 5km due north is the opposite; The path they took as they jogged due west is the adjacent. The straight line distance from their starting positions is the hypotenuse.

This simply means that the opposite for this calculation is 5km and the adjacent is the 12km path they followed as they travelled due west.

The hypotenuse is now the variable to that will be determined or calculated. We can use "b" to represent the hypotenuse in the calculation.

$b^{2} =5^{2} +12^{2}$

$b^{2}$ = 25 + 144

$b^{2}$ = 169

b = $\sqrt{169$

b = 13

Therefore, the shortest distance that they must travel in order to return to their starting positions is 13 miles

Answer from: Quest

i think it is 18

step-by-step explanation:

If y varies directly as x, and y is 180b when x is n when x is 5, what is the value of n?

Answer from: Quest

Ithink it is b and d

Another question on Mathematics

Mathematics, 21.06.2019 13:30

If jm equals 5x -8 and lm equals 2x -6 which expression represents jl

Answers: 1

Answer

Mathematics, 21.06.2019 15:00

Flashback to semester a. are triangles pqr and stu congruent? what is the congruency that proves they are congruent? what is the perimeter of triangle pqr? show your work.

Answers: 2

Answer

Mathematics, 21.06.2019 15:30

What is the best reason for jacinta to have a savings account in addition to a checking account

Answers: 1

Answer

Mathematics, 21.06.2019 17:30

Based on the figures as marked, /\rqs = —

Answers: 1

Answer

You know the right answer?

Two joggers run 5km north and then 12km west. What is the shortest distance to the nearest tenth of...