Height of the water increasing is at rate of
<h3>How to solve?</h3>
With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:
There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:
Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:
In the problem, we are given
So we need to substitute this in:
Hence, Height of the water increasing is at rate of
<h3>Formula used: </h3>
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Answer:
x = 0 , y = 8
Step-by-step explanation:
x = y - 8 -----(1)
7x + 2y = 16 --------(2)
Substitute (1) in (2)
7(y - 8) + 2y = 16
7y - 56 + 2y = 16
9y = 72
y = 8
Substitute y in (1)
x = 8 - 8 = 0
Answer:
a line with a gradient of
Step-by-step explanation:
parallel lines have equal gradients, i.e the value of m, has to be the same.
therefore:
a is equivalent to 18.
2(42 - a) = 48
2(42) + 2(-a) = 48 *distributive property of multiplication
84 - 2a = 48
-2a = 48 - 84
-2a = -36
-2a/-2 = -36/-2
a = 18
to check:
2(42-a) = 48
2(42-18) = 48
2(24) = 48
48 = 48