Answer:
1595 ft^2
Step-by-step explanation:
The answer is obtained by adding the areas of sectors of several circles.
1. Think of the rope being vertical going up from the corner where it is tied. It goes up along the 10-ft side. Now think of the length of the rope being a radius of a circle, rotate it counterclockwise until it is horizontal and is on top of the bottom 20-ft side. That area is 3/4 of a circle of radius 24.5 ft.
2. With the rope in this position, along the bottom 20-ft side, 4.5 ft of the rope stick out the right side of the barn. That amount if rope allows for a 1/4 circle of 4.5-ft radius on the right side of the barn.
3. With the rope in the position of 1. above, vertical and along the 10-ft left side, 14.5 ft of rope extend past the barn's 10-ft left wall. That extra 14.5 ft of rope are now the radius of a 1/4 circle along the upper 20-ft wall.
The area is the sum of the areas described above in numbers 1., 2., and 3.
total area = area 1 + area 2 + area 3
area of circle = (pi)r^2
total area = 3/4 * (pi)(24.5 ft)^2 + 1/4 * (pi)(4.5 ft)^2 + 1/4 * (pi)(14.5 ft)^2
total area = 1414.31 ft^2 + 15.90 ft^2 + 165.13 ft^2
total area = 1595.34 ft^2
-10.1 = w + 5.3
w= -10.1 - 5.3
w= -16.4
Well lets think of the first number that can fit 12, well 60 works right?? 12 fits in 60 5 times does it work with 15, yes it does, 15 fits in 60 4 times, but is that our smallest number lets check it our lets ssubtract 12 from 60, it is 48 is there a number that multioplied by 15 that can give you 48?? NO!! lets subtract 12 more this gives u 36 can something fit? NO! lets take 12 more and get 24 does anything multiplied by 15 give you 24?? No! so our smallest number would be 60 because nothing else can work for both of this nubers
Hope this helps
Answer:
0.06 / 0.36 = 0.166666666666666666666666666666667
If you need to round, just put 0.17.
I hope this helps!
-Mikayla
