Question

-916

-576
12.2
4.) A dog is on a 12-foot leash on your neighbor's yard. If you were to throw a toy 3 feet
east and 10 feet south of the dog, would it be able to reach the toy?

Answer 1

The dog would be able to reach the toy.

Step-by-step explanation:

The question asks whether a dog on a 12-foot leash would be able to reach a toy that is thrown 3 feet east and 10 feet south of the dog. To determine this, we need to find the distance between the dog's location and the toy's location. We can use the Pythagorean theorem to find the hypotenuse of a right triangle formed by the dog's location, the toy's location, and a line connecting them. The distance can be calculated as follows:

Distance = √((3)^2 + (10)^2)

Simplifying, we get:

Distance = √(9 + 100) = √109 = 10.44 feet

Since the distance between the dog and the toy is 10.44 feet, which is less than the length of the leash (12 feet), the dog would be able to reach the toy.

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