Answer:
10
Step-by-step explanation:
The number of tiles in the design is 1 + 2 + 3 + ...
We can model this as an arithmetic series, where the first term is 1 and the common difference is 1. The sum of the first n terms of an arithmetic series is:
S = n/2 (2a₁ + d (n − 1))
Given that a₁ = 1 and d = 1:
S = n/2 (2(1) + n − 1)
S = n/2 (n + 1)
Since S ≤ 60:
n/2 (n + 1) ≤ 60
n (n + 1) ≤ 120
n must be an integer, so from trial and error:
n ≤ 10
Mr. Tong should use 10 tiles in the final row to use the most tiles possible.
49=16+x^2
x^2= 33
x= square root of 33
Answer:
1/3
Step-by-step explanation:
(5 + 4 + 3 + 3) x 2 = 30
Multiplied by two because two marbles are being picked.
10/30 = 1/3
The 7/8 pound fish.
2/3lb = 0.6666 lb
7/8lb = 0.875 lb
There are 3 feet in 1 yard so 6 yards would be 6x3 :
6 x 3 = 18
the giraffe was 18 feet tall
hope this helped