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erik [133]
3 years ago
13

HELLPP PLEASE I WILL MARK YOU BRANILEST

Mathematics
1 answer:
Lesechka [4]3 years ago
5 0

What do you need help with?

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What is the area of the composite figure shown?
Naddika [18.5K]

Answer:

B

Step-by-step explanation:

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A church window consisting of a rectangle topped by a semicircle is to have perimeter p . find the radius of the semicircle if t
Y_Kistochka [10]

Answer:

r=\dfrac{p}{4+\pi}

Step-by-step explanation:

Let r be the radius of the semicircle, then 2r is the width of the rectangle. Let y be the length of the rectangle. The perimeter of the window consists of two lengths, one width and length of semicircle, then

p=2y+2r+\pi r.

Express y:

y=\dfrac{p-2r-\pi r}{2}.

The area of the window is

A=y\cdot 2r+\dfrac{1}{2}\pi r^2.

Substitute y into the area expression:

A=\dfrac{p-2r-\pi r}{2}\cdot 2r+\dfrac{1}{2}\pi r^2=pr-2r^2-\pi r^2+\dfrac{1}{2}\pi r^2=pr-2r^2-\dfrac{1}{2}\pi r^2.

Find the derivative A':

A'=p-4r-\pi r.

Equate A' to 0:

p-4r-\pi r=0\Rightarrow r=\dfrac{p}{4+\pi}.

When r then A'>0 and the function A is increasing, when r>\dfrac{p}{4+\pi}, then A' and the function A is decreasing. This means that at point r=\dfrac{p}{4+\pi} the function A takes it maximal value (the area is maximal).

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3 years ago
What is the coefficient of the variable in the expression 4 − 3x − 7 + 6? −7 −3 4 6
Nikolay [14]

Answer:

-3

Step-by-step explanation:

Variables are letters which are used to represent particular unknown quantities in equations.

Now the variable in this question is x.

When we talk about coefficient , we mean the number before the variable in question.

We can see that the variable is written as -3x

-3 is the value before the variable so we can agree that -3 is its coefficient

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