9514 1404 393
Answer:
10
Step-by-step explanation:
The n-th triangular number is given by ...
t(n) = n(n+1)/2
We went to find n when t(n) = 55.
55 = n(n+1)/2
110 = n(n+1)
Adding 1/4 completes the square.
110.25 = (n +0.5)^2
√110.25 = n+0.5 . . . . . we are interested in the positive value of n
n = 10.5 -0.5 = 10
The triangular number that has 55 dots in its shape is the 10-th number.
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<em>Additional comment</em>
Here, we have gone to the trouble to formally complete the square to find the value of n. You may realize that it isn't really necessary to go to that trouble.
A reasonable estimate of the value of n is possible by considering that the product n(n+1) is a little more than n², so the value of n will be a little less than √110 ≈ 10.49. The nearest integer is 10, which is the answer we're looking for.
Answer:
See Bottom
Step-by-step explanation:
3 goes into 19 6 times, the closest, because 6 x 3 = 18, and that is the closest that you can go and fit 3 into 19
Hope this helps!
Answer:
Step-by-step explanation:
The shape of the figure does not change.
Answer: 10.368
Step-by-step explanation:
20% of 51.84 is 10.368 or just 10.36
Answer:
Step-by-step explanation:
5a.) It starts with two at time one and increases by one each time
5b.) x+1
6.) Formula: (2/3)(x-1)+1, the fifth term would be (2/3)*(5-1)+1= 11/3
7a.) I will leave you to make the table. n+2 is wrong because it's increasing by 2 blocks each time
7b.) 2n+1
8a.) x²
8b.) just draw a 6x6
8c.) 12²=144
