What is the volume of this aquarium? 120 cm³ 180 cm³ 2,160 cm³ 21,600 cm³ Aquarium measuring 10 centimeters wide by 18 centimete
2 answers:
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Answer:
Look below
Step-by-step explanation:
Given that CDB is 90 degrees, ACB is 90 degrees, and ACD is 60 degrees, we can determine that DCB = 90-60 = 30 degrees.
This means triangle BCD is a 30-60-90 (angle measures) right triangle
The proportions of the sides (from smallest to largest) is
x:x√3:2x
We are given that BC = 6 cm. This means...
2x=6
x=3
This means DB is 3 cm and CD is 3√3 cm
Using the linear pair theorem, we can find that Angle CDA is 90 degrees. This means ACD is also a 30-60-90 triangle.
x=3√3
x√3=9
2x=6√3
Now we need to find AB
AB = AD + DB
AB = 9 + 3
AB = 12 cm
Dan's age is x.
Jack is three years older than Dan, so his age is x+3.
Harold is twice as old as Jack, so his age is 2(x+3).
Harold's age is five times Dan's age.
Jack is 5 years old.
Jack is three years older than Dan, so his age is x+3.
Harold is twice as old as Jack, so his age is 2(x+3).
Harold's age is five times Dan's age.
Jack is 5 years old.