Answer:
27 : 8
Step-by-step explanation:
Given 2 similar figures with ratio of sides a : b, then
ratio of areas = a² : b² and
ratio of volumes = a³ : b³
Here the ratio of areas = 9 : 4, thus
ratio of sides = 
: 
= 3 : 2
ratio of volumes = 3³ : 2³ = 27 : 8
486/6=81
Square root 81 = one side length = 9m
volume = 9^3 = 729
Answer: -32
Step-by-step explanation: -14 - 6 - 12 = -32
Let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3
Then the equation is (x-x₁)(x-x₂) = 0
If you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.
You can see that a=1 (there is just an x²)
b = (-5 -2√7 + 2√7 - 5)/3 = -10/3
c = ((-5-2√7)/3 ) * (-5+2√7)/3) = -1/3
So the equation you're looking for is:
1/7<span> = 0.</span><span>142857 since this decimal is repeating divide 45/6(number of repeating numbers) and it gives you 7.5 so you know that it repeats this sequence 7 times plus an extra 3 numbers so the 45th decimal is 2</span>
