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jasenka [17]
3 years ago
14

The length of a rectangular patio is 14 feet more than its width, 2w. The area of a patio, A(w), can be represented by the funct

ion
Mathematics
1 answer:
nydimaria [60]3 years ago
5 0

Answer: 4w^2 + 28w.

Step-by-step explanation:

Width of the rectangle= 2w

Length if the rectangle= 2w+14

Area of a rectangle= length×width

= 2w(2w+14)

= 4w^2 + 28w

The area of the rectangular patio A(w) is 4w^2 + 28w.

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How many of these pitchers can a cylinder with height 9 inches and 2r fill? Explain how you know.
irakobra [83]

Answer:

4 pitches

Step-by-step explanation:

if a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. how many of these pitchers can a cylinder with height 9 inches and radius 2r fill? explain how you know.

Solution:

The volume of a cylinder is given by:

V = πr²h;

where V is the volume, r is the radius of the cylinder and h is the height of the cylinder.

A cylinder with height 9 inches and radius r can fill a certain pitcher. Therefore the volume of the cylinder is:

V = πr²h = πr²(9) = 9πr²

V = volume of pitcher = volume of cylinder with radius r = 9πr²

For a cylinder with height 9 inches and radius 2r its volume is:

V2 = πr²h = π(2r)²(9) = 36πr²

Therefore, the number of pitchers a cylinder with height 9 inches and radius 2r can fill is:

number of pitches = 36πr² / 9πr² = 4

Therefore a cylinder with height 9 inches and radius 2r can fill 4 pitches.

3 0
2 years ago
Question 1(Multiple Choice Worth 1 points)
Galina-37 [17]

Answer:

The answer is b. x= 2, -1

5 0
3 years ago
What is the domain of the function y=
alex41 [277]

Step-by-step explanation:

answer and explanation is pinned

4 0
2 years ago
Jose and a group of friends bought concert tickets for $257. The booking agency also charged a fee, bringing the total cost to $
ella [17]
So you already know the difference between the new number and original number, so all you have to do now is plug it in to this: Percentage Change=Difference/Original Number x100. So 17.99/257=.07x100 which equals 7%. So B is the correct answer.
5 0
3 years ago
Read 3 more answers
How do i do this idk how to do
marysya [2.9K]

Let's find the perimeter first by adding all the side lengths together. There are two missing side lengths, which we can find by taking the side opposite them and subtract the side behind the missing side from them.

I've attached a diagram showing how to find the side lengths.

Now let's add all the side lengths together: 4 cm + 8 cm + 8 cm + 2 cm + 4 cm + 6 cm = 32 cm

The perimeter of this figure is 32 cm.

---

To find the area we can divide this figure into 2 rectangles. On the second attached diagram, I've split the figure into two and labeled the length and width of each rectangle.

Area of a rectangle = length * width

Area of red labeled rectangle = 4 cm * 2 cm = 8 cm²

Area of yellow labeled rectangle = 8 cm * 4 cm = 32 cm²

Add the two areas together: 8 + 32 = 40

The area of the figure is 40 cm².

6 0
3 years ago
Read 2 more answers
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