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algol [13]
1 year ago
7

A paper cup shaped like a cone has a diameter of 6 centimeters and a slant height of 7.5 centimeters. About how much paper is ne

eded to make the cup
Mathematics
1 answer:
liq [111]1 year ago
4 0

Answer:

22.5 cm^2

Step-by-step explanation:

Amount of paper is going to be measured in area, so we want the surface area of the cone.  Since it is a cub it doesn't have a base, so we don't need to count it.  

Area of the cone without the base, or what is called the lateral area is pi*r*s where r is the radius and s is the slant height.  and of course radius is d/2 where d is the diameter.  so let's plug it in.  We know diameter is 6 and slant height is 7.5

SA = pi * r * s

SA = pi * d/2 * s

SA = pi * 6/2 * 7.5

SA = 22.5 cm^2

So you will need 22.5 square centimeters of paper.

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The weekly ad for a local grocery store advertises a 5 pound bag of organic apples for $13.95. Round each rate to the nearest hu
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Answer:

$2.79 per pound of apples.

0.36 pounds per dollar.

The unit rate representing cost of per pound apples is typically used.

Step-by-step explanation:

We have been given that the weekly ad for a local grocery store advertises a 5 pound bag of organic apples for $13.95.

Since we know when rates are expressed as a quantity of 1, such as 100 meter per second or 5 miles per hour, they are called unit rates. We need to have 1 in our denominator to express two quantities as unit rate.

Let us find the unit rate in terms of cost of per pound bag of apples.

\text{Unit rate as the cost of organic apples per pound}=\frac{\$13.95}{5 \text{ pounds of organic apples}}

\text{Unit rate as the cost of organic apples per pound}=\frac{\$2.79} {\text{ pound of organic apples}}

Therefore, our unit rate will be $2.79 per pound of apples.

Let us find unit rate of pounds of apples per dollar.

\text{Unit rate as the pounds of organic apples per dollar}=\frac{5\text{ pounds of organic apples}}{\$13.95}

\text{Unit rate as the pounds of organic apples per dollar}=\frac{0.3584 \text{ pounds of organic apples}}{\$}

\text{Unit rate as the pounds of organic apples per dollar}\approx \frac{0.36 \text{ pounds of organic apples}}{\$}

Therefore, our another unit rate will be 0.36 pounds per dollar.

Since, we purchase apples or other items according to their price per piece or their price per pound in our daily life, therefore, the unit rate representing cost of per pound apples is typically used.

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3 years ago
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Check the picture below.

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Step-by-step explanation:Worked out on paper shown below

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Natalia is making a pizza. The radius of the pizza is 25 inches. What is
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(b)(b)=25 cm2

b2=25 cm2

√(b2)=√(25 cm2)

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