In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube is also the number multiplied by its square: n3 = n × n2 = n × n × n.
#1.) A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8 is a rational number because it can be written as the fraction 8/1.
I don't want to give you the answer cause that will not help you I'm the future If I just give it to you. It might help you but that's what I learned in school is that it doesn't help. Because like if you cheat on a test you won't get to learn. But if you did it yourself and got it wrong you can see why
X=length y=width Area (rectangle)=length x width we suggest this system of equations: y=x/5 xy=9/20 solve this system of equations by substitution method: x(x/5)=9/20 x²/5=9/20 Least common multiple=20 4x²=9 x²=9/4 x=⁺₋√(9/4) we have two solutions: x₁=-3/2 it does not validate x₂=3/2 ⇒y=x/5=(3/2)/5=3/10
The dimensions of the lake are: lengh=3/2 miles width=3/10 miles
to check: Area=3/2 miles x 3/10 miles=9/20 miles². width is 1/5 the length of the lake ⇒ 3/10 miles=(3/2) /5 miles
