For this case we have that by definition of trigonometric relations that the sine of an angle is equal to the opposite leg to the angle on the hypotenuse. That is to say:

Clearing the value of "a":

Rounding off we have:
17.7
Answer:
Option B
Answer:

For this case the reliability of the sytem would be given by:

R1= 0.95, R2 =0.95, R3= 0.5, R4 = 0.79 , R5 = 0.6
And replacing we got:

Step-by-step explanation:
We can assume that the system work in series
If we have in general n units the reliability of the system is the probability that unit 1 succeeds and unit 2 succeeds and all of the other units in the system succeed. fror n units must succeed for the system to succeed. The reliability of the system is then given by:

For this case the reliability of the sytem would be given by:

R1= 0.95, R2 =0.95, R3= 0.5, R4 = 0.79 , R5 = 0.6
And replacing we got:

Answer:
Step-by-step explanation:
CASNT HELP
The volume of the gallon is 6000 gallon
the rate of water flow per min is f(t)=300t^2
a] amount of water that flowed in the first 7 minutes=7/60 hours will be:
f(7)=300(7/60)^2
solving the above we get
f(7)=7/12 gallons
b] The time taken for the tank to be empty will be as follows:
amount of water that will flow out for the tank to be empty will be 6000 gallons
thus,
6000=300t^2
this can be simplified to
20=t^2
t^2-20=0
solving this we get:
t=-2√5 or 2√5
the time taken for the tank to be empty will be t=2√5 hours=5.4721 hours