Pythagorean theorem is

and using that sin is opposite/hypotenuse, you can find the third side of the triangle.

now you know adjacent is 60, so cos=60/61
Find the mean of the first four test scores first.
(Add all numbers in set and divide by how many numbers there are)
81 + 87 + 71 + 89 = 328 / 4 = 82
Then, find the mean with the 85 added as the fifth term.
81 + 87 + 71 + 89 + 85 = 413 / 5 = 82.6
The impact that the 85 had on the mean test score was that the mean/average increased by 0.6.
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:
A (0,5)
Step-by-step explanation:
Look where both lines intersect.