Answer:
a) Depth changing rate of change is 
, When the water is 6 meters deep
b) The width of the top of the water is changing at a rate of 
, When the water is 6 meters deep
Step-by-step explanation:
As we can see in the attachment part II, there are similar triangles, so we have the following relation between them 
, then 
.
a) As we have that volume is 
, then 
, so we can derivate it 
due to the chain rule, then we clean this expression for 
and compute with the knowns 
, is the depth changing rate of change when the water is 6 meters deep.
b) As the width of the top is 
, we can derivate it and obtain 
The width of the top of the water is changing, When the water is 6 meters deep at this rate
Answer:
x=8
Step-by-step explanation:
The ratio of a side of PQRS to the corresponding side in TUVW. is 6:4=3:2.
The ratio of RS:VW=3:2. RS=12, and VW=x. 12:x=3:2. 3 multiplied by 4 is 12, so 2 multiplied by 4 is x. So, the makes x=8.
Answer:
Step-by-step explanation:
Given the angle ∠AOB
It is stated that CO is the angle bisector of ∠AOB.
Given that ∠AOB = 30°
As we know that the angle bisector bisects the angle into two equal angles.
Thus, the angle bisector CO bisects the angle ∠AOB into two equal angles, which are:
as
∠AOB = 30°
Thus, the two formed angles i.e m∠AOC and m∠BOC by the angle bisector would be half of the angle bisector as the angle bisector bisects the angle ∠AOB into two equal angles.
Therefore,
Answer:
interest - $55,000
Step-by-step explanation:
$100,000 principal
11% interest rate (need to use 0.11)
? interest
5 years time
i = prt
= 100,000(.11)(5)
interest earned is $55,000
total money in account is $155,000
