Answer:
Area: 3.7 ft²
Ratio: 73.14 : 1
Step-by-step explanation:
Perimeter of an octagon = 8*side
Replacing with perimeter = 7 ft:
7 = 8*side
side = 7/8 ft = 0.875 ft
that is, each side of the model is 7/8 ft length.
Area of an octagon = 2*(1 + √2)*side²
Area of an octagon = 2*(1 + √2)*(7/8)²
Area of an octagon = 3.7 ft²
Perimeter of real gazebo = 8*8 = 64 ft
Then, the ratio of the perimeters (in feet) of the real gazebo floor to the model gazebo floor is 64:0.875. Multiplying each term by 8/7, we get 73.14:1
Answer:
they are not equal if that was what you were looking for
Step -by-step explanation:
Answer:
y=3/5X+5/6
Step-by-step explanation:
Y=ax+b
(-4;-3) (6:3)
-3=-4a+b
3=6a+b
3-6a=-3+4a
6=10a
a=6/10=3/5
b=5/6
Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
dV/dx = 0 = -12x² +2dx
0 = -2x(6x -d)
This has solutions
x = 0, x = d/6
a) The largest possible volume is
(d/6)²(d -4d/6) = 2(d/6)³
= 2(108 in/6)³ = 11,664 in³
b) The dimensions of the package with largest volume are
d/6 = 18 inches square by
d -4d/6 = d/3 = 36 inches long
(2,2)
(x1+x2)/2, (y1-y2)/2
(-2+6)/2=(2)
(-2+6)/2=2