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.
The formula for finding time is the distance divided by the velocity.So the answer is 100÷30=3.3333...
Answer:
Center: 
Radius: 
Step-by-step explanation:
It is necessary to remember that the Equation of the circle in Center-radius form, is:
Where the center of the circle is at the point (h, k) and the radius is "r".
Then, given the following equation of the circle:
We can notice that it is written in Center-radius form. Then we can identify that:
Therefore the center is:
And the radius is:
Answer:
33
Step-by-step explanation:
10+23 according to my sense
8 out of 24 = 1 out of 3
5 out of 20 = 1 out of 4
1/3 is larger that 1/4
Jessica has the largest ratio
