Answer:
15
Step-by-step explanation:
pythag theorum
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. (0.5)2=1
2. (-0.2) + (-0.05) = -0.25
3. |-3 + 2.75| = 0.25
4. -(-0.25) = 0.25
5. 2x - 1.75x = 0.25x
So your answers are 3 and 4.
1: You are looking to find the mps increase over a second
2: 45 m/s from 0 m/s in 10 secs that is 4.5 m/s per second
3: The acceleration is 4.5m/s
Mr.Fields would have 6,000 pounds
