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
Answer:
Any value of x
<em></em>
Step-by-step explanation:
Given
Required
What value of x is 
Solving for f(g(x))
Solve the inner square
Solving g(f(x))
Equate f(g(x)) and g(f(x))
<em>This implies that </em><em> at any value of x</em>
Answer:
152 m^2
Step-by-step explanation:
Find the area of the triangle and subtract it from the area of the square
area of half-triangle = 1/2 x base x height = 1/2 x 8 x 13 = 52
since that's for half of the triangle we times it by 2 to get the whole triangle so 104.
area of the square = 16 x 16 = 256
area of shades region = 256 - 104 = 152 m^2
Answer: Both of them are C.
Step-by-step explanation:
Use formula➡️y2-y1/x2-x1
(The 2 and 1 will be under the y and x as theres two sets of x and y)
Use this formula when there are two points nd u have to find the slope.
For the 2nd one you just do normal calculations
Answer:
it's already in simplest form, as a decimal it would be 8.875
Step-by-step explanation:
