triangle ABC has coordinates A(4, 1), B(2, 3), and C(7, 5). If the triangle is rotated 270° counterclockwise about the origin, w
1 answer:
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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
Answer:
m∠ABC = 130.4°
Step-by-step explanation:
Angle Bisector: The line that divides the angle into <u>two equal parts</u>.
If BD bisects ∠ABC then:
⇒ ∠ABD = ∠DBC
Given m∠ABD = 65.2° then:
⇒ ∠DBC = 65.2°
Therefore:
⇒ m∠ABC = m∠ABD + m∠DBC
⇒ m∠ABC = 65.2° + 65.2°
⇒ m∠ABC = 130.4°
