Alyssa is jogging near central park. she runs along 65th street for about 0.19 miles, turns right and runs along central park west for about 0.28 miles. she then turns right again and runs along broadway until she reaches her starting point. how long is her total run to the nearest hundredth of a mile?

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

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

She runs the first 10 miles at 8 mph" so she spent 10/8 = 5/4 = 1.25 hours so far running.

She has 2 - 1.25 = 0.75 hours leftover.

She has 10 more miles left to run.

Distance = Rate * Time

D = r*t

10 = r*0.75

10/0.75 = r

13.3333 = r

r = 13.3333

She has to run approximately 13.3333 mph (on average) to achieve her goal.

1; 35 is the ratio

step-by-step explanation: