Goat on a Rope Farmer Smith has a goat named Mel. He hasn’t had time to put up a fence to contain Mel, so he has Mel tied to a rope in his field. The rope is attached to a pole, allowing Mel to wander within a circular area. The rope is 10 feet long. Farmer Smith remembers that the formula for the area of a circle is A = r2 , and that “r” means the radius of the circle. He wants to know how much grass Mel can eat, so he uses 3.14 for , and calculates the area of the circle. How many square feet of grass can Mel reach while still on his rope? (It might help to draw a picture.)

the area of grass is 314 square feet

Step-by-step explanation:

The radius of the circle the goat can reach is given by the length of the rope that ties the goat to the post (10 ft)

Then the area of the circle is:

So the area of grass is 314 square feet

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

a

step-by-step explanation: