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3 years ago

Please help me on #18, don't know how to do the question.

Mathematics

1 answer:

svetlana [45]3 years ago

8 0

Option B) Determine the volume of the cake V= πr²h and divide that amount by 18

Step-by-step explanation:

It is given that, the birthday cake is in the shape of the cylinder.
Therefore, to find the entire volume of the cake, the volume of the cylinder formula is used.

The volume of the cylinder is given by,

Volume of the birthday cake = πr²h

After that, it was asked to find the volume of each piece of the cake.

In this case, the birthday cake is cut into 18 pieces.

We already know the total volume of the birthday cake which is πr²h.

In order to find the volume of each piece of cut cake, the total volume must be divided by the number of parts it has been cut into pieces.

Here, the whole part of the cake is 1.

The number of parts it has been divided after it is made into pieces = 18 parts.

Therefore, the volume of the birthday cake must be divided by 18 to get the volume of each piece of cake.

Option B) Determine the volume of the cake V= πr²h and divide that amount by 18 is correct.

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The area of a square piece of cardboard is 81 square inches. What is the length of the cardboard

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Answer:

$\displaystyle n^3-\frac{1}{n^{2}}$

Step-by-step explanation:

Exponents Properties

We need to recall the following properties of exponents:

$(a^x)^y=(a^y)^x=a^{xy}$

$\displaystyle a^{-x}=\frac{1}{a^x}$

We are given the expression:

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We need to express the following expression in terms of n.

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It's necessary to modify the expression to use the given equivalence.

Recall $8=2^3 \text{ and }4 = 2^2$ . Thus:

$(2^3)^m-(2^2)^{-m}$

Applying the property:

$(2^m)^3-(2^m)^{-2}$

Substituting the given expression:

$n^3-n^{-2}$

Or, equivalently:

$\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}$

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2 years ago

1.Selena is studying about a square with side x, and a rectangle whose length is

kondaur [170]

Answers:

1. No I don't agree with Selena because the area of the rectangle has the exact same area of the square

Step-by-step explanation:

1. square = x

rectangle length = 6 + x

rectangle width = x - 6

the plus 6 and minus 6 cancel each other out and make the same area that the square has.

Im sorry i dont know what the answe to 2 is.

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2 years ago

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Answer:

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Step-by-step explanation:

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$126.53 - cost for parts

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Subtract $126.53 from both sides.

3h = $93.75

Divide by 3.

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The mechanic charges $31.25 per hour for labor.

Hope that helps.

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