So first find the area
area=legnth times width
area=5/6 times 1/6
5/6 times 1/6=5/36
area=5/36 square units
tile=side legnth 1/6
area of tile=legnth times width or legnth times legnth
1/6 times 1/6=1/36
we must find how many times 1/36 goes into 5/36
divide 5/36 by 1/36
5/36 divided by 1/36=5/36 times 36/1=5/1 times 36/36=5/1 times 1=5
the answer is 5 unit squares needed to tile
Triangular sequence = n(n + 1)/2
If 630 is a triangular number, then:
n(n + 1)/2 = 630
Then n should be a positive whole number if 630 is a triangular number.
n(n + 1)/2 = 630
n(n + 1) = 2*630
n(n + 1) = 1260
n² + n = 1260
n² + n - 1260 = 0
By trial an error note that 1260 = 35 * 36
n² + n - 1260 = 0
Replace n with 36n - 35n
n² + 36n - 35n - 1260 = 0
n(n + 36) - 35(n + 36) = 0
(n + 36)(n - 35) = 0
n + 36 = 0 or n - 35 = 0
n = 0 - 36, or n = 0 + 35
n = -36, or 35
n can not be negative.
n = 35 is valid.
Since n is a positive whole number, that means 630 is a triangular number.
So the answer is True.
1,846^-1
362^-1
<span>83,734^-1</span>
