What is 15% of £19.00

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

iris [78.8K]

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

6 0

2 years ago

The area of a square is 160x^5y^2. What is the length of one side?

Aleksandr [31]

------------------------------------------------------------------
Formula of area of square
------------------------------------------------------------------
Area of square = Length x Length
Area of square = Length2

------------------------------------------------------------------
Given information
------------------------------------------------------------------
Area of square = $160x^5y^2$

------------------------------------------------------------------
Find length
------------------------------------------------------------------
$length^2 = 160x^5y^2$
$length = \sqrt{160x^5y^2}$
$length = 4y\sqrt{10x^5}$

-----------------------------------------------------------------
$\Longrightarrow \ Answer: \boxed {\boxed{ 4y\sqrt{10x^5} }}
$
-----------------------------------------------------------------

5 0

3 years ago

What Is k 5(3-2k)=2k+39

Hatshy [7]

Answer:

k = -2.

Step-by-step explanation:

5(3 - 2k) = 2k + 39 Distribute the 5 over the parentheses:

15 - 10k = 2k + 39

15 - 39 = 2k + 10k

12k = -24

k = -2.

8 0

3 years ago

What is the volume of a sphere with a radius of 5 meters rounded to the nearest square meter.

-BARSIC- [3]

Step-by-step explanation:

V = 4/3 π r³

V = 4/3 π (5 m)³

V = 524 m³

8 0

3 years ago

Find u -2v given u = (-2, 5) and v = 6i -4j

Arisa [49]

Answer:

A. U - 2v = -14i +13j

Step-by-step explanation:

If u = (-2, 5) and v = 6i -4j

Then 2v = 2*(6i-4j) = 12i-8j

u-2v = -2i +5j - (6i -4j)

Distribute the minus sign

-2i +5j -6i+4j

-2i +5j

-12i + 8j

---------------

-14i +13j

6 0

3 years ago