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2 years ago

13. A contractor buys 8.2 square feet of sheet metal.

Mathematics

1 answer:

Veseljchak [2.6K]2 years ago

6 0

Answer:

$x = \frac{183}{6.7}$ is the required equation.

The Per sq ft of sheet costs $ 27.31.

Step-by-step explanation:

The total amount of sheet purchased = 8.8 sq. ft

The amount of sheet used = 2. 1 sq ft.

The worth of remaining sheet = $183

Let us assume the cost per sq ft of sheet = $x

Now, the remaining sheet =

Amount of total sheet purchased- Amount of sheet used

= 8.8 sq. ft - 2. 1 sq ft. = 6. 7 sq. ft

So, the worth of the remaining sheet 6.7 sq ft is $183.

⇒ Worth of 1 sq ft of sheet = $183 /6.7 sq ft

or, $x = \frac{183}{6.7} = 27.31$

or x = $27.31

Hence, the Per sq ft of sheet costs $ 27.31.

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Which number gives you an irrational product when you multiply it by 2

soldi70 [24.7K]

<h2>Explanation:</h2><h2></h2>

An irrational number is a number that can't be written as a simple fraction while a rational number is a number that can be written as the ratio of two integers, that is, as a simple fraction. So in this case we have the number 2 which is ration, and we can multiply it by an irrational number $n$ such that the product is an irrational number. So any irrational number will meet our requirement because the product of any rational number and an irrational number will lead to an irrational number. For instance:

$\bullet \ 2\sqrt{2} \\ \\ 2 \ is \ rational \\ \\ \sqrt{2} \ is \ irrational \\ \\ 2\sqrt{2} \ is \ irrational \\ \\ \\ \bullet \ 2\pi \\ \\ 2 \ is \ rational \\ \\ \pi \ is \ irrational \\ \\ 2\pi \ is \ irrational$

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3 years ago

F(x+1)+f(x+2)=2x+3; f(x)=?

Rama09 [41]

Answer:

$F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1$

Step-by-step explanation:

$1. \mathrm{Subtract\:}f\left(x+2\right)\mathrm{\:from\:both\:sides}\\
F\left(x+1\right)+f\left(x+2\right)-f\left(x+2\right)=2x+3f-f\left(x+2\right)

$

$2. \mathrm{Simplify}\\
F\left(x+1\right)=-xf+f+2x\\
$

$3. \mathrm{Divide\:both\:sides\:by\:}x+1;\quad \:x\ne \:-1\\
\frac{F\left(x+1\right)}{x+1}=-\frac{xf}{x+1}+\frac{f}{x+1}+\frac{2x}{x+1};\quad \:x\ne \:-1$

$4. \mathrm{Simplify}\\
F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1$

Final Answer: $F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1$

4 0

2 years ago

Line AB passes through points A (-6,6) and B(12,3). If the equation of the line is written in slope-intercept form, y=mx+b, the.

Tomtit [17]

Answer:

You wrote the question wrong...

m is not -16 it is -1/6 (that is a big difference)

y=mx+b

y=-1/6x+b

3 = -1/6(12) + b

3 = -2 + b

b=5

Step-by-step explanation:

3 0

2 years ago

Find the area of the missing piece of the polygon and explain your process for finding it:

rusak2 [61]

Answer:

The area of the polygon is 42 $cm^{2}$ .

Step-by-step explanation:

A polygon is a shape that has three or more sides. They are named with respect to the number of their sides. Example, an octagon has 8 sides, hexagon has 6 sides etc.

From the given figure, the area of the shaded polygon can be calculated by;

Area of polygon = Area of square - Sum of areas given

Sum of areas given = 24 + 30 + 48

= 102 $cm^{2}$

The four sides of the figure are equal, thus it is a square. The length of each side is 12 cm, so that:

Area of square = length × width

= 12 × 12

= 144 $cm^{2}$

Area of polygon = 144 - 102

= 42 $cm^{2}$

The area of the polygon is 42 $cm^{2}$ .

6 0

3 years ago

PLEASE HELP!!!!!!!!!!<br> please answer all these questions

malfutka [58]

1.) 5
2.) 9
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6 0

2 years ago