When divided by 2 we get perfect square
<span>(2^n * 3^m) / 2 = 2^(n-1) * 3^m is a perfect square </span>
(n-1) and m are divisible by 2
<span>When divided by 3 we get perfect cube </span>
<span>(2^n * 3^m) / 3 = 2^n * 3^(m-1) is a perfect cube </span>
n and (m-1) are divisible by 3
<span>(n-1) divisible by 2 & n divisible by 3 → n = 3 </span>
<span>m divisible by 2 & (m-1) divisible by 3 → m = 4
</span><span>Number = 2³ * 3⁴ = 648
</span>648/2 = 324 = 18²
<span>648/3 = 216 = 6³
</span>ANSWER: 648
Answer:
answer is 546
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
First a diagram which looks like a 12 sided figure where all the sides are equal.
Now draw 2 consecutive radii.
There are 12 such triangles in a 12 sided polygon.
These triangles have an apex angle of 360 / 12 = 30 degrees.
The other two angles making up the triangle are both equal. Therefore x + x + 30 = 180
2x = 150
x = 75
But 75 is 1/2 of the interior angle. There are 2 such angles making up the interior angle 75 + 75 = 150