7. Manuel buys his grandmother a bunch of flowers for $12.95 and buys some candy for his mother for $2.76. If he has $7.83 left,
2 answers:
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P(7,6), Q(1,6), R(4,2)
We have PQ parallel to the x axis. We'll call that the base,
b = 7 - 1 = 6
The altitude is then the y difference h = 6 - 2 = 4
The area is
Answer: 12 square units
In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:
(7,6), (1,6), (4,2)
(1,6), (4,2), (7,6)
The area is then half the absolute value of the sum of the cross products:
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
