Answer:
Billy’s angular velocity, is 1508.16 radians per second
Step-by-step explanation:
We have to find angular velocity in radians per second
we have given angular velocity w = 4 revolutions per minute
we have to convert revolutions into radians and minutes into seconds.
so, we use the following conversion:
1 rev = 2* pi radians (where pi = 22/7 or 3.142)
1 min = 60 sec
putting the values in our equation : w = 4 revolutions per minute
=> w= 4 * ( 2* 3.142) *60
=> w= 1508.16 radians per second
hence Billy’s angular velocity, is 1508.16 radians per second
Multiply out the "a times the squared coefficient" part on the left-hand side (remember, in this one a = 1 so that does nothing), and convert the right-hand side to squared form. (This is where you use that sign you kept track of earlier, putting that sign in the middle of the squared expression.)
y-4+(9)=(x+3)^2
Simplify - combine like terms.
y+5=(x+3)^2
Move the constant term from the right back to the left.
y=(x+3)^2 - 5
Write in vertex form y=(a(x-h)^2) + k. In other words, if the squared term is x+h write it as x-(-h). If the k term is negative, write it as + (-k).
y=(x-(-3))^2 + (-5)
Now the values for h and k are clear.I hope that this is the answer that you were looking for and it has helped you.
Answer:2.81
Step-by-step explanation:
Answer:
Karl prepared 30 liters in 5 hours
Step-by-step explanation:
The total amount of juice Karl prepares per unit time can be expressed;
T=U×h
where;
T=total number of liters of juice prepared
U=number of liters prepared per unit time
h=number of working hours
In our case;
T=12 liters
U=U
h=2 hours
replacing;
12=U×2
2 U=12
U=12/2
U=6 liters per hour
The unit rate=6 liters per hour
Solving for 5 hours
Total quantity of juice prepared=Unit rate×number of hours worked
where;
Unit rate=6 liters per hour
Number of hours worked=5 hours
replacing;
Total quantity of juice prepared=(6×5)=30 liters
Karl prepared 30 liters in 5 hours
GF = ½ RT
Step-by-step explanation:
SG=GR (given)
SF=FT (given)
line GF is a midpoint in triangle RST, so it is therefore ½ the angle parallel to it(viz. RT)
