Answer:
r =
r = 17.2 cm
Step-by-step explanation:
∵ The area of the circle A = πr²
∴ r² = A/π
∴ r = √(A/π)
∵ A = 54 cm²
∵ π = 22/7
∴ r = √(54/(22/7)) = √(54×7/22) = 17.2 cm
what is the equation of the graph that represents the parent function f(x)=x^4 stretched vertically by a factor of 2, and then s
hifted left 3 spaces
2 answers:
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Answer:
Step-by-step explanation:
<u>Maximization With Derivatives</u>
Given a function of one variable A(x), we can find the maximum or minimum value of A by using the derivatives criterion. If A'(x)=0, then A has a probable maximum or minimum value.
We need to find a function for the area of the pasture. Let's assume the dimensions of the pasture are x and y, and one divider goes parallel to the sides named y, and two dividers go parallel to x.
The two divisions parallel to x have lengths y, thus the fencing will take 4x. The three dividers parallel to y have lengths x, thus the fencing will take 3y.
The amount of fence needed to enclose the external and the internal divisions is
We know the total fencing is 1/2 miles long, thus
Solving for x
The total area of the pasture is
Substituting x
Differentiating with respect to y
Equate to 0
Solving for y
And also
Compute the second derivative
Since it's always negative, the point is a maximum
Thus, the maximum area is
The correct answers are:
(1) If EXACT number is required, then 7.5.
(2) If multiple of 8 is required then the answer will be 7 times with a remainder of 4.
Explanation:
First you need to express it in the form of equation to make things simpler as follows:
8 * y = 60
We need to find y; to do so, divide 60 by 8:
y =
y = 7.5
Now if you want to find the whole number, then the answer will be 7 times, with 4 left over.