Question

Use the Pythagorean Theorem Practice%0D%0AComplete this assessment to review what you've learned. It will not count toward your grade.%0D%0A5 of 55 of 5 Items%0D%0A%0D%0AQuestion%0D%0AUse the image to answer the question.%0D%0A%0D%0A%0D%0A%0D%0ASylvia likes to walk to work when the weather is nice. She works at the bank at the corner of 41st Street and Edison Avenue. Her house is at the corner of 42nd Street and Johnson Avenue. She can walk down Johnson Avenue and turn right on 41st Street, or she can walk through the park. The distance from 42nd Street to 41st Street is 80 yards, and it is 60 yards from Johnson Avenue to Edison Avenue. Assuming the street intersections are 90° angles, how much shorter is it for Sylvia to walk through the park?%0D%0A%0D%0A(1 point)%0D%0AIf Sylvia walks through the park instead of straight down Johnson Avenue and straight down 41st Street, the walk will be yards shorter. its nort 100

Answer 1

To determine how much shorter the walk through the park is, we need to calculate the distance of both routes using the Pythagorean Theorem.

The distance of walking straight down Johnson Avenue and then straight down 41st Street can be calculated using the Pythagorean Theorem:

d = √(80^2 + 60^2)
d = √(6400 + 3600)
d = √10000
d = 100 yards

Now, let's calculate the distance of walking through the park. Since the street intersections are at 90° angles, we can use the Pythagorean Theorem again to determine the distance:

d = √(80^2 + 60^2)
d = √(6400 + 3600)
d = √10000
d = 100 yards

The distance of walking through the park is also 100 yards.

Therefore, if Sylvia walks through the park instead of straight down Johnson Avenue and straight down 41st Street, the walk will be 0 yards shorter.

Answer 2

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Answer 3

Apologies for the mistake. Let's calculate it correctly:

To determine the distance of walking straight down Johnson Avenue and then straight down 41st Street, we can use the Pythagorean Theorem:

d1 = √(80^2 + 60^2)
d1 = √(6400 + 3600)
d1 = √10000
d1 = 100 yards

Now, let's calculate the distance of walking through the park. Since the street intersections are at 90° angles, we can use the Pythagorean Theorem:

d2 = √(80^2 + 60^2)
d2 = √(6400 + 3600)
d2 = √10000
d2 = 100 yards

Both distances are the same, 100 yards.

Therefore, if Sylvia walks through the park instead of straight down Johnson Avenue and straight down 41st Street, the walk will be the same length. The difference is 0 yards shorter.

Answer 4

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Answer 5

Apologies for the incorrect response earlier. Let's solve the problem correctly this time.

To determine the distance of walking straight down Johnson Avenue and then straight down 41st Street, we can use the Pythagorean Theorem:

d1 = √(80^2 + 60^2)
d1 = √(6400 + 3600)
d1 = √10000
d1 = 100 yards

Now, let's calculate the distance of walking through the park. The park forms a right triangle with sides of 80 yards and 60 yards. If Sylvia walks through the park, she will be walking along the hypotenuse of this triangle.

d2 = √(80^2 + 60^2)
d2 = √(6400 + 3600)
d2 = √10000
d2 = 100 yards

Both distances are the same, 100 yards.

Therefore, if Sylvia walks through the park instead of straight down Johnson Avenue and straight down 41st Street, the walk will be the same length. The difference is 0 yards shorter.