Answer:
We need to take the diameter and divide by 2 to find the radius
Step-by-step explanation:
The volume of a sphere is found by
V = 4/3 pi r^3
So we need the radius
We know the diameter
r = d/2
We need to take the diameter and divide by 2
Answer:
The answer is C one solution
Step-by-step explanation:
x-y=-14
-y=-x-14 bring x to the other side
y=x+14 divide everything by -1
-x-y=14
-y=x+14 bring x to the other side
y=-x-14 divide everything by -1
Step-by-step explanation:
15.50n +10=72
15.50×4+10=72
62+10=72
Ya, calculus and related rates, such fun!
everything is changing with respect to t
altitude rate will be dh/dt and that is 1cm/min
dh/dt=1cm/min
area will be da/dt which is increasing at 2cm²/min
da/dt=2cm²/min
base=db/dt
alright
area=1/2bh
take dervitivie of both sides
da/dt=1/2((db/dt)(h)+(dh/dt)(b))
solve for db/dt
distribute
da/dt=1/2(db/dt)(h)+1/2(dh/dt)(b)
move
da/dt-1/2(dh/dt)(b)=1/2(db/dt)(h)
times 2 both sides
2da/dt-(dh/dt)(b)=(db/dt)(h)
divide by h
(2da/dt-(dh/dt)(b))/h=db/dt
ok
we know
height=10
area=100
so
a=1/2bh
100=1/2b10
100=5b
20=b
so
h=10
b=20
da/dt=2cm²/min
dh/dt=1cm/min
therefor
(2(2cm²/min)-(1cm/min)(20cm))/10cm=db/dt
(4cm²/min-20cm²/min)/10cm=db/dt
(-16cm²/min)/10cm=db/dt
-1.6cm/min=db/dt
the base is decreasing at 1.6cm/min
