Answer:
a) The maximum amount of water the aquarium can hold is 1728 in³.
b) The cover has to be 624 in² big.
Step-by-step explanation:
a) The maximum volume of water that the aquarium can have is the same as the volume of the aquarium:
V=L×W×H=18 in × 8 in × 12 in= 1728 in³
b) The protective covering is used on the four walls of the aquarium. We have to find the areas of the four walls:
One of them is given by the multiplication of the width and the height:
A₁= W×H= 8 in × 12 in=96 in²
The other area is given by the multiplication of the length and the height:
A₂= L×H= 18 in × 12 in= 216 in²
As the fish aquarium is rectangular the area of the walls is given by:
=2×96 in²+2×216 in²=624 in²
Y-axis symmetry=(r, theta)=(-r,theta)
-5-5cos(theta)=r
-r=5+5cos(theta)
no y-axis symmetry
x-axis symmetry=(r,theta)=(r,-theta)
cosine is an even function, so yes it is symmetric around x-axis
origin symmetry=(r,theta)=(-r,theta) or (r, theta+pi)
no, as there is no y-axis symmetry
The function would be f(x)=11,500-.16xPlug in 4 for x
Answer:
y = 3/8x + 1/8
Step-by-step explanation:
The slope of a perpendicular line is the opposite and reciprocal of the original slope.
-8/3 -> 3/8
Find the new y-intercept.
y = 3/8x + b
2 = 3/8(5) + b
2 = 1.875 + b
0.125 = b
y = 3/8x + 1/8
Best of Luck!
.0032 = 0.32%
.32 = 32%
.32 is 100 times greater than .0032, therefore, 0.32 is greater
