Alyssa is jogging near Central Park. She runs along 65th Street for about 0.19 miles, turns right and runs along Central Park We

Question

3 years ago

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Alyssa is jogging near Central Park. She runs along 65th Street for about 0.19 miles, turns right and runs along Central Park We

st 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?
A: 0.68 miles
B: 0.81 miles
C: 1.15 miles
D: 1.44 miles

Mathematics

2 answers:

Varvara68 [4.7K] · Answer 1 · 2022-12-18T05:40:08+03:00

Answer: B: 0.81 miles

Step-by-step explanation:

The find the total distance, you must look for firs the missing side. To get use the formula that is derived from the Pythagorean theorem which states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

The formula for this is: a^2 + b^2 = c^2

So let the first side or a be .19

and the second side be .28

and now we are looking for c which is the missing side

.19^2 + .28^2 = c^20.0361 + 0.784 = .1145

get the square root of .1145

√.1145 = it is approximately 0.34

get the total distance by adding three sides

= .34 + .19 + .28

= 0.81