Answer:
The volume is decreasing at a rate 20π cubic meter per hour.
Step-by-step explanation:
We are given the following in the question:
The radius is increasing at a rate 1 meter per hour.
The height is decreasing at a rate 4 meter per hour
At an instant time t,
r = 5 meter
h = 8 meters
Volume of cylinder =
where r is the radius and h is the height of the cylinder.
Rate of change of volume is given by:
Putting all the values we get,
Thus, the volume is decreasing at a rate 20π cubic meter per hour or 62.8 cubic meter per hour.
Answer:
4a)= 2.1m 4b)= 1.9 m 5)= 29.6º
Step-by-step explanation:
4a):
x is the opp
AB is the hyp
BC is the adj
thus,
sin32 = x/4
cross multiply, x= 4*sin32
x= 2.1196.......
x=2.1 m
4b).
x is the hyp
ac is the opp
bc is the adj
thus,
cos65=4.5/x
cross multiply, x= 4.5*cos65
x=1.9017....
x=1.9 m
5).
AB is the opp
bc is the adj
ac is the hyp
thus:
tanC= 2.1/3.7
C= tan^-1 (2.1/3.7)
C= 29.5778.....
C= 29.6º
980 square meters is the total
Let me tell you....
This equation cannot be solved at all.
Why?
3(n+5)≥3n+8
3n+15 ≥ 3n+8
3n-3n ≥ 8-15
0 ≥ -7
Even though it make sense than 0 ≥ -7... But since 'n' disappeared, this means that this equation have no solution. To solve means to find the value of 'n' and if there is no 'n' since 3n-3n=0, there is no solutions.
This question is pretty much invalid.
Extra:
To tackle such inequality qns:
Step 1: Expand the brackets
Step 2: Move the term to one side of the equations
and constant to another side of the equation.
Step 3: Find the value of the term. Done.
