Answer:
35.68°
Step-by-step explanation:
In the picture attached, the triangle is shown.
From sine definition:
sin(y) = opposite/hypotenuse
The leg measuring 7 units is opposite to angle y, and the hypotenuse measures 12 units, therefore:
sin(y) = 7/12
y = arcsin(7/12)
y = 35.68°
Answer:
4,200 liters
Step-by-step explanation:
The flow rate is given by:

Integrating the flow rate expression from t=0 to t=30 minutes, yields the total volume that flows out of the tank during that period:

4,200 liters of water flow from the tank during the first 30 minutes.
Answer:
B. 30
Step-by-step explanation:
2m^2 + 12
m = 3
2(3)^2 + 12
3 squared is 9
2(9) + 12
2 times 9 is 18
18 + 12 = 30
2m^2 + 12 = 30
3 is common and therefore the factorization of the expression will be
3(w-2)