Answer:
4 radians
Step-by-step explanation:
Arc Length (Radians) = rθ
Given Arc Length XY = 40cm and radius, r = 10cm,
we will substitute these 2 values into the formula to find θ.
(10)θ = 40
θ = 40 / 10
= 4 radians
Answer:
9 meters
Step-by-step explanation:
V = 1/3 * pi * r^2 * h
339.12 = 1/3 * pi * 6^2 * h
h = 3 * (339.12)/(36 pi)
h = 9 meters
Answer:
20 years old
Step-by-step explanation:
Joe = J
Sydney = S
J = 5 + S
J + S = 45
Substitute
5 + S + S = 45
Add
5 + 2S = 45
Subtract 5 from both sides of the equation
2S = 40
Divide both sides of the equation by 2
S = 20
Sydney is 20 years old
Hope this helps :)
Suppose the larger pump alone can empty the tank in L hours, and the smaller pump can finish the job in S hours, then each hour the large pump empties 1/L portion of the tank, and the small pump empties 1/S per hour
Working together for three hours, they empty the whole tank, which is 100% of it, so 3/L+3/S=100%=1
Larger pump can empty the tank in 4 hours less than the smaller one, so L=S-4
replace L: 3/(S-4)+3/S=1
Make the denominator the same to solve for:
3S/[S(S-4)] +3(S-4)/[S(S-4)]=1
(3S+3S-12)/[S(S-4)]=1
(3S+3S-12)=[S(S-4)]
S^2-10s+12=0
use the quadratic formula to solve for S
S is about 8.6
The answer is not whole hour.
Answer: the heart works to pump through the body systems
