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.
Added all that up and you get 680$
hope this helps
Answer: <u>13,5</u> (first one)
Step-by-step explanation:According to given table for Relation g, we have following order pairs
(2,2)
(3,5)
(4,9)
(5,13)
Note: Each of first value in coordinate is x and each of the second value in the coordinate is y value.
We need to check the option, which gives an order pair of inverse relation of g.
In order to find inverse relation of a coordinate, we need to switch x and y values of a coordinate.
x value goes in y place and y value goes in x place.
So, the order pairs of inverse relation of given relation of g can be written as
(2,2) --> (2,2)
(3,5) --> (5,3)
(4,9) --> (9,4)
(5,13) --> (13,5).
In the given options, we have first order pair (13,5), which is the inverse of order pair (5,13).
Therefore, correct option is first option (13,5)
Answer:
33.51 cm
Step-by-step explanation:
240/360 = 2/3 (Arc length is 2/3 of the total circumference)
C = 2
r ( Calculate the total circumference)
C = 2(8)
C = 50.265
2/3(50.265) (Take 2/3 of the circumference. times 2 divide by 3)
33.51
Use a calculator and leave the answer to C and then multiply and divide. You get a more precise answer.
Jaime is correct,
because when you turn a decimal into percent, you move the decimal two places, you are basically multiplying by 100.<span />
