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3 years ago

The distance around a round pool is 67.51 ft. What is the diameter of the pool

Mathematics

1 answer:

Anni [7]3 years ago

3 0

The distance around a round object (i.e. a circular pool, in this case) is also known as its circumference.

The formula for working out circumference is π × d, where π is the value of pi (usually rounded to 3.14) and d is the diameter.

Therefore, to work out the diameter, you just have to work backwards.

So you know the circumference, and you know the value of pi, therefore you just do:

C = π × d

67.51 = 3.14 × d

Now you just have to divide both sides by 3.14 to isolate the value of d and work out the diameter:

67.51 ÷ 3.14 = d

21.5 = d

Therefore, the diameter is 21.5 ft.

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Which of the following statements is false? (N = natural numbers) <br> Ø N <br> {0} N <br> {1} N

Iteru [2.4K]

Assuming each statement is claiming the first set is a subset of N, the second statement is false. 0 is not part of the natural numbers.

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3 years ago

Read 2 more answers

Multiply.

Nady [450]

$\boxed{3\sqrt{22}\sqrt{58}\sqrt{18}=18\sqrt{638}}$

<h2>Explanation:</h2>

Here we have the following expression:

$3\sqrt{22}\sqrt{58}\sqrt{18}$

So we need to simplify that radical expression. By property of radicals we know that:

$\sqrt[n]{a}\sqrt[n]{b}=\sqrt[n]{ab}$

So:

$3\sqrt{22}\sqrt{58}\sqrt{18}=3\sqrt{22\times 58 \times 18}=3\sqrt{22968}$

The prime factorization of 22968 is:

$22968=2^3\cdot 3^2\cdot11\cdot 29$

Hence:

$3\sqrt{22968}=3\sqrt{2^3\cdot 3^2\cdot11\cdot 29}=3\sqrt{2^2\cdot 3^2\cdot 2\cdot 11\cdot 29}$

By property:

$\sqrt[n]{a^n}=a$

So:

$3\sqrt{2^2\cdot 3^2\cdot 2\cdot 11\cdot 29} \\ \\ 3(2)(3)\sqrt{2\cdot 11\cdot 29}=18\sqrt{638}$

Finally:

$\boxed{3\sqrt{22}\sqrt{58}\sqrt{18}=18\sqrt{638}}$

<h2>Learn more:</h2>

Radical expressions: brainly.com/question/13452541

#LearnWithBrainly

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3 years ago

The expression 6x2 gives the surface area of a cube, and the expression x3 gives the volume of a cube, where x is the length of

AVprozaik [17]

Answer:

surface area of the cube is 96m² and the volume is 64m³

Step-by-step explanation:

Surface area of the cube = 6x²

x is the side length

Given

x = 4metres

Surface area of the cube = 6(4)²

Surface area of the cube = 6(16)

Surface area of the cube = 96m²

Volume of the cube = x³

Volume of the cube = 4³

Volume of the cube = 64m³

Hence the surface area of the cube is 96m² and the volume is 64m³

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3 years ago

A cricket bat is bought for $350.

Luda [366]

15%= .15

.15 × $350= 52.50

$350 - 52.50= $297.50

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4 years ago

The sale price of a table is $472 it was 20% off what was the original price?

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To solve, set an equation:

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Divide both sides by 0.8

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