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Anastasy [175]
3 years ago
10

You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally installed. Estimate the cost of

having a 14 by 16 ft
Mathematics
1 answer:
pogonyaev3 years ago
6 0

Answer:it will cost $1698

Step-by-step explanation:

You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally installed. The area of the patio would be

15 × 20 = 300 square feet

It means that it costs $2275 to install 300 square feet of the patio professionally. Therefore, the cost of installing 1 square feet professionally would be

2275/300 = $7.58 per square feet

To estimate the cost of having a 14 by 16 ft, we would determine the total area.

Area = 16 × 14 = 224 square feet.

Therefore, the cost of installing 224 square feet professionally would be

224 × 7.58 = 1697.92

Approximately $1698

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A paper cup is a perfect cylinder that is 6.4 cm tall and 3 cm across. Find the total area of paper needed to make the cup, to t
NNADVOKAT [17]

Hey there! I'm happy to help!

We want to find how much paper we need to make the cup. So, we need to find the surface area of the cylinder, which is basically the "walls and floors" of the cup. So, this is the circle on the bottom and the surrounding stuff that goes up. There is no circular top to this cup, which will be important when finding the total area of paper.

So, first we need to find how much paper we need to make the bottom circle. The formula for the area of a circle is A=πr². This r represents the radius, or the distance from the center of the circle to the edge. We are given that the cup is 3 cm completely across, and the radius is be half of that, so the radius is 1.5 cm. Let's find the area. We will use 3.14 for π.

π×1.5²=7.065

Now, we need  to find the area of the walls of the cup. The wall is a rectangle that is basically wrapped around the circle. The height of the rectangle is the height of the cup and the length of the rectangle is the circumference (perimeter) of the bottom circle because the length of the rectangle wraps completely around the circle.

First, let's find the circumference of the circle. The circumference is the diameter (distance across the circle, so 3 cm) multiplied by π. We will use 3.14 for π.

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So, this means that the long side of the rectangle is 9.42 cm, and now we multiply this by the height.

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Now, we add the rectangle area and the bottom circle area.

60.288+7.065=67.353

But, they want us to round to the nearest centimetre, so we will just say 67 square centimetres.

An important thing to note is that this is not  the area of a normal cylinder (one with a top and a bottom circle) because it is a cup so it does not have a top. If you have a cylinder with a top and a bottom, you would just multiply the area of the circle by two, so then you have the top and bottom. If that were the case, the area of our cylinder would be 74 cm with the numbers we have been given here.

Have a wonderful day!

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