Answer:
Her total run is 0.81 miles.
Step-by-step explanation:
Consider the provided information.
The provided information can be visualized by the figure 1.
The path she covers represent a right angle triangle, where the length of two legs are given as 0.19 and 0.28.
Use the Pythagorean theorem to find the length of missing side.
[tex]a^2+b^2=c^2[/tex]
Where, a and b are the legs and c is the hypotenuse of the right angle triangle.
The provided lengths are 0.19 and 0.28.
Now, calculate the missing side.
[tex](0.19)^2+(0.28)^2=(c)^2[/tex]
[tex]0.0361+0.784=(c)^2[/tex]
[tex]0.1145=c^2[/tex]
[tex]\sqrt{0.1145}=c[/tex]
[tex]c\approx{0.34}[/tex]
Thus, the total distance is:
0.34 + 0.19 + 0.28 = 0.81
Therefore, her total run is 0.81 miles.
Answer:
about 0.81 miles
Step-by-step explanation:
Alyssa's route can be considered a right triangle with legs of length 19 and 28 (hundredths). The Pythagorean theorem tells us the hypotenuse (x) will satisfy ...
x^2 = 19^2 +28^2
x^2 = 1145
x = √1145 ≈ 34 . . . . hundredths of a mile
Then Alyssa's total route is ...
0.19 + 0.28 + 0.34 = 0.81 . . . . miles
