Answer:
Rate of change in height of the water level is 2.91 cm per second.
Step-by-step explanation:
Height of the inverted pyramid = 10 cm
Length of the square base = 7 cm
If water is filled up to the level of h cm then the volume of water up to height h will be
V =
V =
It is given that rate of water is filling with 70 cubic centimeters per second.
From two similar triangles in the figure attached,
By replacing the value of h,
V =
V =
V =
Now we integrate the equation with respect to time 't'
70 =
For h = 7 cm
Therefore, rate of change in height of the water level is 2.91 cm per second.
The second one and the 4th one are the correct answers, if I'm not mistaken
No they are not, 6/8 could also be represented as 3/4. Therefore they are not equivalent. You would divide each side by the factor they have in common such as 2.
Y = -1x + 1 is the equation of the line