9514 1404 393
Answer:
C 18(2 + 3)
Step-by-step explanation:
The GCD of 36 and 54 is their difference, 18. Factoring that out of the sum, you have ...
36 + 54 = (18·2 + 18·3) = 18(2 + 3) . . . . matches choice C
10.1666666667
Hope it helps
24:N=30:100
Multiply 24 by 100 then divide the product by 30. You'll get the answer which is 80.
Answer:
dh/dt=9.82x10^-3 ft/min
Step-by-step explanation:
1. You have that the rate is10 ft³/min. Then:
dV/dt=10
2. The formula for calculate the volume of a cone, is:
V=1/3(πr²h)
"r" is the radius and "h" is the height.
3. The diameter of the base of the cone is approximately 3 times the altitude. Then, the radius is:
r=diameter/2
diameter=3h
r=3h/2
4. When you susbstitute r=3h/2 into the formula V=πr²h/3, you have:
V=1/3(πr²h)
V=1/3(π(3h/2)²(h)
V=1/3(π9h²/4)(h)
V=9πh³/12
5. Therefore:
dV/dt=(9πh²/4)dh/dt
h=12
dV/dt=10
6. When you substitute the values of dV/dt and h into dV/dt=(9π(12)²/4)dh/dt, you have:
dV/dt=(9π(12)²/4)dh/dt
10=(1017.876)
7. Finally, you obtain:
dh/dt=10/1017.876
dh/dt=9.82x10^-3 ft/min
7.86*4.6=36.156
Hope this helps
