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2 years ago

Use the exchange rate £1 = €1.11 to convert €222 into £.

Mathematics

1 answer:

Kobotan [32]2 years ago

8 0

The answer is £200, if you divide 222 by 1.11 it gives you 200

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1. Use precise mathematical language to justify and explain each mathematical process.

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Mathematical processes are the steps used to determine the result of operations

The perimeter of the rectangle is $10x^2 - 14x + 28$
The area of the rectangle is $5x^3 +17x^2 -31x + 45$

The dimension of the rectangle is given as:

$Length = 5x^2 - 8x + 9$

$Width = x + 5$

<u>(1) The perimeter of the triangle</u>

This is the sum of the side lengths of the rectangle.

So, we have:

$Perimeter = 2 \times (Length + Width)$

This gives

$Perimeter = 2 \times (5x^2 - 8x + 9 + x + 5)$

Collect like terms

$Perimeter = 2 \times (5x^2 - 7x + 14)$

Open brackets

$Perimeter = 10x^2 - 14x + 28$

Hence, the perimeter of the rectangle is $10x^2 - 14x + 28$

<u>(2) The area of the triangle</u>

This is the product of the dimensions of the rectangle.

So, we have:

$Area = Length \times Width$

This gives

$Area = (5x^2 - 8x + 9) \times (x + 5)$

Open brackets

$Area = 5x^3 - 8x^2 + 9x +25x^2 - 40x + 45$

Collect like terms

$Area = 5x^3 - 8x^2 +25x^2+ 9x - 40x + 45$

$Area = 5x^3 +17x^2 -31x + 45$

Hence, the area of the rectangle is $5x^3 +17x^2 -31x + 45$

Read more about areas and perimeters at:

brainly.com/question/15656646

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Step-by-step explanation:

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(X+2)(x+1)

Is x^2+x+2x+2

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