For this case we have that by definition of trigonometric relations of rectangular triangles, that the sine of an angle is given by the opposite leg to the angle on the hypotenuse of the triangle. So:
Where h is the hypotenuse.
We cleared h:
We rationalize:
ANswer:
Option A
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.
Answer:
$16
Step-by-step explanation:
This method is probbaly working backwards. I'm not sure.
12 - 4 = 8 (How much she was left with if she didn't wash the car for 4 dollars)
8 x 2 = 16 (They mentioned she spent half of her weekly allowance)
Answer:
0.266666666
Step-by-step explanation:
Answer:
i guess its 1...
Step-by-step explanation:
