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3 years ago

Consider the sets below.

Mathematics

2 answers:

Pepsi [2]3 years ago

7 0

Answer:

B ⊂ A

Step-by-step explanation:

We know that:

A {x|x is a polygon}

So set A is the set of all polygons.

B {x|x is a triangle}

Set B is the set of all triangles.

First, a polygon is a plane geometrical figure made of a finite sequence of straight segments.

For example, a triangle is a polygon, a rectangle is a polygon, etc.

Then, all triangles are polygons, but not all polygons are triangles.

So we can conclude that the whole set B is included in the set A.

Then the correct notation would be:

B ⊂ A

stich3 [128]3 years ago

4 0

Answer:

B ⊂ A

Step-by-step explanation:

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What is the answer to this solution. -7r−4≥ 4r+2

tia_tia [17]

Answer:

The solution is:

$-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}$

Please check the attached line graph below.

Step-by-step explanation:

Given the expression

$-7r-4\ge \:4r+2$

Add 4 to both sides

$-7r-4+4\ge \:4r+2+4$

Simplify

$-7r\ge \:4r+6$

Subtract 4r from both sides

$-7r-4r\ge \:4r+6-4r$

Simplify

$-11r\ge \:6$

Multiply both sides by -1 (reverses the inequality)

$\left(-11r\right)\left(-1\right)\le \:6\left(-1\right)$

Simplify

$11r\le \:-6$

Divide both sides by 11

$\frac{11r}{11}\le \frac{-6}{11}$

Simplify

$r\le \:-\frac{6}{11}$

Therefore, the solution is:

Please check the attached line graph below.

7 0

3 years ago

In an area of the Great Plains, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (b

vovikov84 [41]

Answer: D. 0.981

Step-by-step explanation:

Step 1: For the given data table on x^2

We square all values given to us

Step 2: we repeat Same for Y^2 table too.

Step 3: XY table we multiply x and y

Step 4: we make a summation of them all

Step 5: we input our summer value into our formula.

Step 6 : we arrive at our answer which is 0.981

7 0

3 years ago

Borland, Inc., has a profit margin of 5.6 percent on sales of $13.6 million. If the firm has debt of $6.4 million and total asse

aniked [119]

Answer:

ROA = 7.77 percent

Step-by-step explanation:

Borland, Inc., has a profit margin of 5.6 percent on sales of $13.6 million

Thus, profit = 5.6% of $13.6 million

profit = 5.6 / 100 * $13.6 million = $0.7616 million

Profit is same as net income

Formula for ROA (return on asset) = net income/ total asset

total asset as given = $9.8 million

Thus, ROA = $0.7616/ $9.8 = 0.0777

ROA in percentage = 0.0777*100 = 7.77

Thus, ROA is 7.77 percent .

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3 years ago

How many times does 5 go into 709?

Sveta_85 [38]

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3 years ago

Find the simplified product where sqrt 5x ( sqrt 8x^2 - 2 sqrt x)

alukav5142 [94]

Answer:

40x^3 -10x

Step-by-step explanation:

Used math-way to solve this! I'm sorry if wrong, x

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3 years ago

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