Item 8 A dog is leashed to the corner of a house. How much running area does the dog have? Round your answer to the nearest square foot, if necessary. The dog has about square feet of running area.

Complete Question:

A dog is leashed to the corner of a house with a 15 foot leash. How much running area does the dog have? Round your answer to the nearest square foot.

The dog has about 707 square feet of running area.

Step-by-step explanation:

From the illustration in the question, one can conclude that the dog can travel in a circular path.

So, the length of the leash represents the radius and we are to calculate the required area using the area of a circle.

We have:

Where

and

So:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

80x^8−68x^6+16^5−20x^4−4x^3+8x^2

hope i'm right lol