The area of Ivory’s scaled copy is 48 square units.

The value of j in the scaled copy in the polygon is: 0.03.

When a figure is scaled, the corresponding dimensions of the new and original figures have a ratio that is the same because they are proportional to each other.

Polygon K and polygon L are similar polygons and therefore their corresponding side lengths are proportional. The ratio below would be created:

j/0.5 = 0.18/3

Cross multiply

j = (0.5 × 0.18)/3

j = 0.09/3

j = 0.03

Therefore, the value of j in the scaled copy in the polygon is: 0.03.

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Answer:

The answer are given below:

Step-by-step explanation:

1. Roaster form

A={0,1,2,3,4}

Set builder form

A={x: x⊂ w, x<5}

2.

Roaster form

B={2,3,5,7,11,13,17,.................}

Set builder form

B={x: where x is a prime number}

3.

Roaster form

C={jan ,june ,july }

Set builder form

C={x: x is month starting with "J" }

4.

Roaster form

D={4,6,8,9}

Set builder form

D={x: where x is a prime number, x<10}

5.

Roaster form

E={null}

Set builder form

E={x: x is null}

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Step-by-step explanation:

[tex] - 4x + 3(2x - 5) = 31 \\ - 4x + 6x - 15 = 31 \\ 2x - 15 = 31 \\ 2x = 31 + 15 \\ 2x = 46 \\ x = 46 \div 2 \\ x = 23[/tex]

Answer:

7√3

Step-by-step explanation:

The  linear inequality will have a solution of (0,0) is y<-2x and y>-3x.

Option (A) and (D) is correct.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Given:

Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. These values could be numerical or algebraic or a combination of both.

According to given question we have

a. y<-2x

To put the value of x any y (0,0) we get

=0<-2*0

=0<0

b. y<-3x+4

To put the value of x any y (0,0) we get

=0<-3*0+4

=0<0+4

=0<4

c. y>-2x+6

To put the value of x any y (0,0) we get

=0>-2*0+6

=0>0+6

=0>6

d. y>-3x

To put the value of x any y (0,0) we get

=0>-3*0

=0>0

Therefore, the  linear inequality will have a solution of (0,0) is y<-2x and y>-3x.

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Answer:

h = 7

Step-by-step explanation:

We are given the equation A=bh , and need to work out the unknown variable .

So we substitute the values of A and b given :

70 = (10)(h)

70 = 10 × h

Divide both sides by 10 :

70 ÷ 10 = h

h = 7

Hope this helped and have a good day

Answer:

a reflection across the y-axis and a translation up of 4

Step-by-step explanation:

Answer:

length is 20 width is 5

Step-by-step explanation:

35

5 20

Answer:

-113

Step-by-step explanation:

Plug in 7 for x and you get -4(7)² + 10(7) + 13

7² = 49 so -4(49) = -196

10(7) = 70

Add them all up and you get -113 (-196 + 70 + 13 = -113)

The objects are (A) tin fork and knife from a camping set, (C) a Steel pole fence post, and (F) a Copper coin are correct.

A material is said to be malleable if it is easy to roll or hammer a thin sheet out of it.

It is given that:

The list of objects is given in the question.

As we know from the definition of malleable; the material is said to be malleable if it is easy to roll or hammer a thin sheet out of it.

Metals have the physical quality of malleability, which makes them easy to crush, hammer, or bend.

Metals that are bendable include copper coins, steel fence posts, and camping forks and knives made of tin.

Thus, the objects are (A) tin fork and knife from a camping set, (C) a Steel pole fence post, and (F) a Copper coin are correct.

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Answer:

7x-9

Step-by-step explanation:

P=x+(2x-4)+(4x-5)

P= x+2x-4+4x-5

P =x+6x-9

P =7x-9

P is perimeter

Answer:

5X - 2 = 18

Step-by-step explanation:

5 x 4 = 20

20 - 2 = 18

Answer: Marie ran 4.5 miles on Monday.

Step-by-step explanation: 5.7

                                            +1.2

                                             6.9      

Answer:

9

Step-by-step explanation:

[tex]38-14\\\bold{24}\\\rightarrow 1\div \:4\cdot \:24+3^3\div \:9\\3^3\\\bold{27}\\\rightarrow 1\div \:4\cdot \:24+27\div \:9\\1\div \:4\cdot \:24\\\frac{1}{4}\cdot \:24\\\bold{6}\\\rightarrow 6+27\div \:9\\27\div \:9\\\bold{3}\\6+3\\=9[/tex]

Answer:

5a-40=-2b

5a-40/-2=-2b/-2

-5a/2+20=b

The 10th score should be 9.5 for the mean to be 5.

The mean value is the average value of the given data.

According to the given question  the mean of 9 score is 4.5 what must the 10th score be for the mean of all score to be 5.

The total average score for 9 games is

= ( 9 × 4.5 )

= 40.5.

The total average score for the mean to be 5 in 10 games is

= ( 10 × 5 )

= 50.

∴ The 10th score must be ( 50 - 40.5 ) which is

= 9.5.

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Answer: They charge $28 per lesson the Equation is 35 + 5x = $175

Step-by-step explanation: He rented the snowboard for $35 and then took 5 hours of snowboarding lessons. Then the whole thing cost $175.

Answer:

1. straight

2. right

3. obtuse

4. acute

Step-by-step explanation:

Answer:

1. (2x + 1) (x - 4)

2. (3y +2 ) (y + 1)

3. (w - 3) (3w + 5)

4. (4s - 1) (s + 7)

5. (x + 5) (2x - 3)

Step-by-step explanation:

Lots of good articles on factoring quadratics - that is what this is called.

Answer:

1. (2x + 1) (x - 4) 

2. (3y +2 ) (y + 1)

3. (w - 3) (3w + 5)

4. (4s - 1) (s + 7)

5. (x + 5) (2x - 3)

Step-by-step explanation:

The volumes of the cylinder are 565. 56 cubic inches and  1131. 12 cubic inches respectively.

The formula for volume of a cylinder is expressed as;

Volume = πr²h

Where;

Substitute the values

Volume = 3. 142 × 6² × 5

Volume = 3. 142 × 36 × 5

Volume = 565. 56 cubic inches

If the height is doubled, h = 2 × 5 = 10

Substitute the values

Volume = 3. 142 × 6² × 10

Volume = 3. 142 × 36 × 10

Volume = 1131. 12 cubic inches

Thus, the volumes of the cylinder are 565. 56 cubic inches and  1131. 12 cubic inches respectively.

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Answer:  m 21=

I got it right on test!

Step-by-step explanation:

From 10:55 pm to 11:00 pm, 5 minutes have elapsed.

From 11 pm to 12:00 pm, 60 minutes have elapsed, and from 12:00 pm to 1:00 am, another 60 minutes have elapsed, from 1:00 am to 1:20 am, 20 minutes have elapsed plus.

In the 145 minutes, there are 2 hours and 25 minutes.

Answer: From 10:55 pm to 1:20 a.m there is a time period of 2 hours and 25 minutes. Correct alternative is "C".

The standard deviation is provided by this. = 6.7528

Because it aids in comprehending measurements whenever the data is distributed, the standard deviation is significant. The standard deviation of the data will be higher the more evenly distributed the data is.

sample data = ( 32, 41, 36, 24, 29, 30, 40, 22, 25, 37)

To find mean of the given data:

Mean = Sum of items/ Count items

Mean = (32 + 41 + 36 + 24 + 29 + 30 + 40 + 22 + 25 + 37 / 10)

          = 31.6

now finding the variance:

First we  Add All the sample:

32 + 41 + 36 + 24 + 29 + 30 + 40 + 22 + 25 + 37 = 316

make Square of the solution:

316*316 =99856

and multiply by how many items there are. We have 10 items.

=99856/10

= 9985.6

For the time being, put this number aside.

Take your original set of numbers from Step 1 and square each one this time on its own.

32² + 41² + 36² + 24² + 29² + 30² + 40² + 22² + 25² + 37² = 10396

Subtract the sum from Step 2 from of the sum from Step 3.

10396 - 9985.6 = 410.4

The items in someone data set is reduced by 1 by.10 - 1 = 9

Divide the result of Step 4 even by result of Step 5. You get the variation from this.

410.4 / 9 = 45.6

Your response from Step 6 should be squared. The standard deviation is provided by this.

6.7528

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I understand that the question you are looming for is:

For the following sample data, compute the variance and the standard deviation. 32, 41, 36, 24, 29, 30, 40, 22, 25, 37

Answer:

$33.

Step-by-step explanation:

330 miles x (1 gal/34 miles) x ($3.40/gal)= $33.

I hope this helps, have a blessed day! :)

Answer:  $33

Step-by-step explanation:

1 gallon=$3.40

Hence,

Make a proportion:

 34 milles -  $3.40

330 milles - x gallones

Thus,

[tex]\displaystyle\\x=\frac{330*3.40}{34} \\\\x=\frac{33*34}{34}\\\\x=33\ dollars[/tex]

The original dimensions of the piece of metal are 39 inch by 24 inches.

Let the breadth of the rectangular piece be b inches.

Hence, according to the data given in the question,

Length of the rectangular piece will be (b + 15) inches.

After 4 squares of 3 inches each are cut from the corners of the rectangular piece, the length and breadth of the piece becomes:-

Length = b + 15 - 3 - 3 = (b + 9) inches

Breadth = b -3 -3 = (b - 6) inches

The height of the subsequent open box made will be 3 inches.

We have,

Volume of the cuboidal open box = 1782 cubic inches.

Also, we know that,

Volume of cuboid = l*b*h

Where,

l is the length,

b is the breadth, and

h is the height

Hence,

(b+9)(b-6)(3) = 1782 cubic inches

(b+9)(b-6) = 1782/3 = 594

We can write 594 as 33*18

Hence,

(b+9)(b-6) = 33*18

b+9 = 33 or b-6 = 18

b = 33-9 = 18+6 = 24

Hence, the original dimensions are :-

b + 15 = 24 + 15 = 39 inches, and

b = 24 inches

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Solving the given fraction, we get that It will rain for 1 day more, that means a total of 2 days.

According to the question, first day it rained 6 inches. Then it rained 2/3 every day after that. Solving the fractions, we get that second day it will rain,

(6 × 2/3) = 4 inches as it rained 2/3 every day after that .

So, it rained a total of, 6 + 4 inches = 10 inches in a week.

We have been given that it rained a total of 10 inches in a week. While solving the fraction, we found that it rained for 10 inches in just days, 6 inches in a day and 4 inches the other day. This tells us that it will not rain for the remaining 5 ( 7 - 2 ) days.

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A rectangular bathroom mirror having a perimeter of 24 feet and an area of 20 square feet, The length and breadth of rectangle are 10 feet and 2 feet respectively.

Given,

perimeter of the rectangle = 24 feet

area of rectangle = 20 sq. feet

Formula of perimeter of rectangle = 2(L + B)

where L = length of the rectangle , Breadth of the rectangle.

⇒ 24 = 2(L + b)                                  

⇒ 12 = L + B

⇒ L = 12 - B                                                  ........(1)

Formula of area of rectangle = L × B

⇒ 20 = L × B                                      

⇒ L = 20 / B                                                  .......(2)

From (1) and (2)

equating two equations,

12 - B = 20 / B

⇒ 12B = 20 + B²

⇒ B² - 12B + 20

On solving,

⇒ B = 10, 2

So, the Length and breadth of rectangle are 10 feet and 2 feet

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Answer:

4c + 8 = 20

Step-by-step explanation:

To find which equation is true, we have to plug 3 into x in each equation.

2c + 8 = 31

Plug in 3 into c

2(3) + 8 = 31

6 + 8 = 31

14 = 31

Since 14 doesn't equal 31, this equation isn't true.

35 − 5c = 32

Plug in 3 into c

35 − 5(3) = 32

35 - 15 = 32

20 = 32

Since 20 doesn't equal 32, this equation isn't true.

9 − 6c = 0

Plug in 3 into c

9 − 6(3) = 0

9 − 18 = 0

-9 = 0

Since -9 doesn't equal 0, this equation isn't true.

4c + 8 = 20

Plug in 3 into c

4(3) + 8 = 20

12 + 8 = 20

20 = 20

Since 20 equals 20, this equation is true.

Have a lovely rest of your day! :)

-1+(-3) is  3 units from -1 in the left direction

-1+(-3) is blank units from -1 in the blank direction

-4 is  3 units from -1 in the left direction

because we know that

in the real line if we go 3 units in left from -1 we get -4

since in the real number line

the pattern is ................ - 5, -4, -3, -2, -1 ,0,1,2,3,4,5,............

thus we get  

-1+(-3) is blank units from -1 in the blank direction

-4 is  3 units from -1 in the left direction

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Answer:

They can make 720 quarts in 36 hours.

Step-by-step explanation:

First we set up a ratio of 100 quarts:5 hours since that is a given ratio. Since hours was in the denominator of the ratio before, we place the 36 in the denominator of the other ratio, x quarts: 36 hours.

Setting them equal gives the following proportion:

100/5=x/36

Cross multiply to solve:

5x=3600

x=720

Answer:

720

Step-by-step explanation:

100 divided by 5 =20 and 20 times 36 is 720 hope this helped