You can print a copy of the graph, stick a pin in the origin, and rotate it 180° to see where the figure ends up.
The origin is the midpoint between each vertex and its image.
Negate every coordinate value, for example,
J(-5, -3) gets rotated to
J'(5, 3).
Ok, so the bigger box has sides that are multiples of 4.5 inches:
18in * 9in * 4.5in.
in terms of the cubes that go inside them, the bigger box is:
4 box * 2 box * 1 box, so you know that 8 boxes fit inside.
Answer:
18/5
Step-by-step explanation:
-3/2 * -5/4
Multiply the numerators
-3*-5 = 15
Multiply the denominators
2*4 =8
The fraction is 18/5
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