Answer: 60 4 X 5= 20 x 3 = 60
Answer:
x = (8√3)/3
Step-by-step explanation:
Reference angle = 30°
Hypotenuse = x
Side length adjacent to reference angle = 4
Apply CAH, thus:
Cos 30 = Adj/Hyp
Cos 30 = 4/x
x × Cos 30 = 4
x = 4/Cos 30
x = 4/(√3/2) (cos 30 = √3/2)
x = 4 × 2/√3
x = 8/√3
Rationalize
x = (8 × √3)/(√3 × √3)
x = (8√3)/3
Whooh
SA=4pir²
take derivitive
dSA/dt=8pir dr/dt
and do the volume as well
V=(4/3)pir³
dV/dt=4pir² dr/dt
we need to solve for dV/dt
to do taht we need dr/dt
so
dSA/dt=8pir dr/dt
given dSA/dt=3pi cm/sec
r=2
3pi=8pi2 dr/dt
3=16 dr/dt
3/16=dr/dt
now do the volume
dV/dt=4pir² dr/dt
r=2
dr/dt=3/16
dV/dt=4pi2² (3/16)
dV/dt=16pi(3/16)
dV/dt=3pi
nice
the volume of the sphere is decreasing at 3pi cm/sec as well
Answer:
The answer is b
Step-by-step explanation: