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.
C. you need to find the area and perimeter to find the outside
Answer:
$39.50 is the final payment.
Step-by-step explanation:
0.3 x 53.95 = 16.185
53.95 - 16.185
= 37.765
0.045 x 37.765 = 1.699425 + 37.765
= 39.464425 and round
You want to by two apples. Each apple costs three dollars. How much do you need to by two apples.
<h3>Answer:</h3><h3>T
wo possible smallest and largest angles are 11.78° and 78.22°.</h3>
Step-by-step explanation:
Minigolf ball will follow a trajectory to get into the hole.
Since range of a trajectory is calculated by the formula,
Where u = initial speed of the ball
θ = angle between the hole and direction in which the ball has been projected
g = gravitational pull
Now we plug in the values in the formula,
sin2θ = 
2θ = 
2θ = 23.57° or 156.43°
θ = 11.78° or 78.22°
Hence two possible smallest and largest angles are 11.78° and 78.22°.
