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1 year ago

The radius is

Mathematics

1 answer:

mina [271]1 year ago

8 0

The circumference of this circle with a radius of 7 cm is equal to 44 cm.

<u>Given the following data:</u>

Radius of circular rug = 7 cm.

π = 3.14.

<h3>How to calculate the circumference of a circle?</h3>

Mathematically, the circumference of a circle can be calculated by using this formula:

Circumference = 2πr

<u>Where:</u>

r is the radius of a circle.

Substituting the given parameters into the formula, we have;

Circumference = 2 × 3.14 × 7

Circumference = 43.96 ≈ 44 cm.

Read more on circumference here: brainly.com/question/14478195

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Answer:

The simplified expression is given as

$8x^2y^4(17x^2-2)$

Step-by-step explanation:

step one:

Given the expression

$x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)$

step two:

First, let us open the bracket we have

$x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)\\\\x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\$

step three:

collect like terms we have

$x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\x^4y^4-9x^4y^4+144x^4y^4-16x^2y^4\\\\-8x^4y^4+144x^4y^4-16x^2y^4\\\\136x^4y^4-16x^2y^4\\\\\\$

step four:

we can now factor out $8x^2y^4$ we have

$8x^2y^4(17x^2-2)$

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