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
A: peak
B: falling
C:on the ground
Answer:70 m
Step-by-step explanation:
Answer: Choice C) AA similarity
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We are given that angle ABE = angle ECD since they are both right angles (square marker)
Angle AEB = angle CED as they are vertical angles
we have two pairs of congruent angles, leading us to be able to use the AA (angle angle) similarity theorem
Answer:
13.3 cm
Step-by-step explanation:
Apply the Pythagorean Theorem:
hyp² = (2nd longest side)² + (shortest side)². Here the numbers are:
(24 cm)² = (20 cm)² + (shortest side)², or
576 - 400 = 176 = hyp²
Taking the square root of both sides, we get (shortest side) = 13.3 cm
