Figure ABCD - Figure EFGH.
F 2.5 G
5.0 C
B
3.0
E
4.0
A 8.0D
Perimeter of ABCD = 20
Perimeter of EFGH ?)
Enter

Figure ABCD - Figure EFGH.F 2.5 G5.0 CB3.0E4.0A 8.0DPerimeter Of ABCD = 20Perimeter Of EFGH ?)Enter

Answers

Answer 1

Answer:

10

Step-by-step explanation:

1.5+2.5+2+4=10 b/c the figure is the half of the biger lines

Answer 2

The perimeter of the quadrilateral EFGH is 10 units.

What is perimeter?

Perimeter is the total length of the boundary of a closed shape. The perimeter of the polygon is measured as the sum of all the sides.

For the given situation,

The diagram shows the two quadrilaterals ABCD and EFGH.

The quadrilaterals are similar, ABCD ≅ EFGH. So their ratios are equal.

Here BC = 5.0, FG = 2.5

⇒ [tex]\frac{FG}{BC} =\frac{2.5}{5.0}[/tex]

⇒ [tex]\frac{1}{2}[/tex]

So the lengths of EFGH is half than that of ABCD.

Then the lengths of EFGH are 2.5, 2.0, 4.0, 1.5

Thus the perimeter of EFGH is

Perimeter = Sum of all sides

⇒ [tex]Perimeter = 2.5+2.0+4.0+1.5[/tex]

⇒ [tex]Perimeter = 10.0[/tex]

Hence we can conclude that the perimeter of the quadrilateral EFGH is 10 units.

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Related Questions

Express the following as decimals step by step. 3×10+4×1+7×1/10

Answers

Answer:

34.7

Step-by-step explanation:

First Step: Multiply.

3 × 10 = 30

4 × 1 = 4

7 × 1/10 = 7/10

Second step: Add.

30 + 4 + 7/10= 347/10

Final step: Make it a decimal.

347 ÷ 10 = 34.7

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[tex]3\times 10+4\times 1+7\times 1/10[/tex]

[tex]= \frac{347}{10}[/tex] (Decimal: 34.7)

Step by Step Explanation.

[tex](3) (10) + (4) (1) + \frac{(7)(1)}{10} \\= 30 + (4) (1) + \frac{(7)(1)}{10} \\= 34 + \frac{(7)(1)}{10} \\= 34 + \frac{7}{10} \\= \frac{347}{10}[/tex]

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If this helped you, could you maybe give brainliest..?

❀*May*❀

PLEASE ANSWER QUICKLY ASAP
please read question carefully ​

Answers

Answer:

340 im pretty sure

Step-by-step explanation:

A pyramid has a square base with an area of 169 ft.² what is the perimeter of the base of the pyramid

Answers

Answer:

52

Step-by-step explanation:

Square root of 169 is 13.

SInce it is a square all sides are same length. So you could do 13x4 or 13+13+13+13. Both will equal to 52.

The perimeter of the base of the pyramid is 52 square feet.

Given that,

The pyramid contains a square base having an area of 169 square feet.

We know that,

Area of the square = side^2

169 = side^2

So, the side is 13 feet.

So, the perimeter should be

= 4 × sides

= 4 × 13

= 52 feet

Therefore, we can conclude that The perimeter of the base of the pyramid is 52 square feet.

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Given the trinomial, what is the value of the coefficient B in the factored form? 2x2 − 12xy − 32y2 = 2(x − 8y)(x + By) −4 −2 2 4

Answers

Answer:

B is related to the last term of trinomial

Last term on the left hand side of the equation = Last term on the right hand side of the equation.

The last term on the right hand side is gotten by multiplying all the terms on the right of the two expression.

-32y²=  2*-8y*By

-32y² = -16By²        Compare both

32 = 16B

16B = 32

B = 32/16

B = 2.

Answer:

B = 2

Step-by-step explanation:

2x^2 − 12xy − 32y^2

Factor out a 2

2 ( x^2 -6xy -16y^2)

Factor inside the parentheses

What two numbers multiply to -16 and add to -6

-8 * 2 = -16

-8+2 = -6

2( x-8y) ( x+2y)

B = 2

4:3=x:6, find the value of x please help me

Answers

Answer:

x=8

Step-by-step explanation:

4:3=x:6

Multiply the first set by 2

4*2 : 3*2

8:6

That means x =8

Mr Hamar had rupees 4,400 hie purchase 6 kg of rice at Rupess 75 for KG ,2 packets of oil at rupees 125 per packet and he gave rupees 3,300 to his wife if he divided the remaining Sum between his son and daughter equally find the share of each of them​

Answers

Step-by-step explanation:

Total rupees= 4400

Price of 6kg rice = 75 x 6 = 450

Price of 2 packets oil = 125 x 2 = 250

Amount given to wife = 3300

Total = 450 + 250 + 3300 = 4000

Remaining amount = 4400 - 4000 = 400

Share of son and daughter = 400 ÷ 2 = 200

So his son and daughter both get 200

three decreased by the product of a number and two

Answers

3-2x should be the right answer

There is a proportional relationship between any length measured in centimeters and
the same length measured in millimeters. There are two ways of thinking about this proportional relationship. If you know the length of something in centimeters, you can calculate it’s length in millimeters

Answers

The constant of proportionality is 10.

What is constant of proportionality?

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. The constant of proportionality is the fixed or constant pace at which ratios rise and decrease. Two ratios are said to be directly proportional if they share the same constant of proportionality. Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality. The constant of proportionality is the name given to this consistent pace of growth or decline.

a)

since , 1 cm = 10mm

9cm = 90mm

12.5cm = 125mm

50cm = 500mm

88.49cm = 884.9mm

b)

The constant of proportionality is 10.

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HELP PLSSS. Combine these radicals. - 12sqrt(12) - 2sqrt(3) O - 50sqrt(3); - 22sqrt(3); - 26sqrt(3); - 10sqrt(12)

Answers

The combined radical is: [tex]- 26\sqrt{3}[/tex]

The radical is given as:

[tex]- 12\sqrt{12} - 2\sqrt{3}[/tex]

We start by expressing 12 as 4 * 3

[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12\sqrt{4* 3} - 2\sqrt{3}[/tex]

Split the radical

[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12\sqrt{4}* \sqrt{3} - 2\sqrt{3}[/tex]

Take square root of 4

[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12*2* \sqrt{3} - 2\sqrt{3}[/tex]

[tex]- 12\sqrt{12} - 2\sqrt{3} = - 24* \sqrt{3} - 2\sqrt{3}[/tex]

[tex]- 12\sqrt{12} - 2\sqrt{3} = - 24\sqrt{3} - 2\sqrt{3}[/tex]

Combine like terms

[tex]- 12\sqrt{12} - 2\sqrt{3} = - 26\sqrt{3}[/tex]

Hence, the combined radical is: [tex]- 26\sqrt{3}[/tex]

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2. A curve has equation y = x2 – 2x - 3. A point moves along the curve in such a way that at P
the y coordinate is increasing at 4 units per second and the x coordinate is increasing at 6
units per second. Find the x coordinate of P.
[3]

Answers

Answer:

The x coordinate of P is [tex]\frac{4}{3}[/tex].

Step-by-step explanation:

Let is find the rate of change of the equation in time, which consists in a composite differentiation. That is:

[tex]\frac{dy}{dt} = 2\cdot x \cdot \frac{dx}{dt} -2\cdot \frac{dx}{dt}[/tex]

According to the statement of the problem, these variables are known:

[tex]\frac{dx}{dt} = 6[/tex] and [tex]\frac{dy}{dt} = 4[/tex]

Hence, the x coordinate of P is found by direct substitution:

[tex]4 = 2\cdot x \cdot (6)-2\cdot (6)[/tex]

[tex]4 = 12\cdot x -12[/tex]

[tex]x = \frac{4}{3}[/tex]

The x coordinate of P is [tex]\frac{4}{3}[/tex].

A group of friends is addressing wedding invitations. Casey can address 22 envelopes in one hour, Anne can address 48 envelopes in two hours, and Paula can address 62 envelopes in three hours. About how long will it take them to address 420 envelopes?

A.
19.09 hours
B.
22.00 hours
C.
7.24 hours
D.
6.30 hours

Answers

Answer:

D

Step-by-step explanation:

Let's say that we have x amount of hours.

Casey addresses 22 envelopes per hour. Another way of writing this is that for x hours, Casey addresses 22 envelopes. Therefore, given x hours, Casey addresses 22 * x envelopes.

Anne can address 48 envelopes in 2 hours. It is important to note that this is for 2 hours. To make this per 1 hour, we can write

48 envelopes = 2 hours

divide both sides by 2

24 envelopes = 1 hour.

Therefore, given x hours, Anne addresses 24 * x envelopes.

Paula can address 62 envelopes in 3 hours, so

62 envelopes = 3 hours

divide both sides by 3

62/3 envelopes = 1 hour

Given x hours, Paula can address 62/3 * x envelopes.

Adding all of these up, given x hours, the group of friends can address

22 * x + 24 * x + 62/3 * x envelopes. Because the variables are all the same (x), we can add up the coefficients, resulting in

(22 + 24 + 62/3) * x = (46 + 62/3) * x envelopes given x hours

We want to figure out the amount of hours (x) for 420 envelopes. The total amount of envelopes is equal to (46 + 62/3) * x, so we set 420 equal to that, resulting in

(46 + 62/3) * x = 420

divide both sides by (46 + 62/3) to isolate x

420 / (46 + 62/3) = x

= 6.3 hours

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Answers

Answer:

Below

Step-by-step explanation:

Sale price of each tire : $92.99 - $20 = 72.99. The cost of x tires is 72.99x

If the sales tax is 4% there is an additional (72.99x)(1.04)

Here is the equation

= (72.99)(1.04) t

If Patrick bought 8 tires.....

= (72.99)(1.04)(8)

= $607.2768

Hope this helps!

If it is now January, what month will it be 500 months from
now?
(a) January
(b) June
(C) September
(d) December

Answers

It would be c September
It would be B June .

Please help explanation if possible

Answers

Answer:

y = 4x + 12

Step-by-step explanation:

y = mx + b  

4 = 4(-2) + b  

4 = -8 + b

12 = b    

m = 4 and b = 12

Therefore, the equation of your line is y = 4x + 12

12. solve for a.
help please

Answers

Answer:

okay so given :-

R = x(A+B)

now open bracket =>

R = Ax + Bx

shifting Bx

R - Bx = Ax

so now shift x to lhs and finally we get

A = (R - Bx)/x option d is correct

please brainliest <3

Sasha is twice as old as Kapila. If Kapila is x years old, find their total age.

Answers

Answer:

3x

Step-by-step explanation:

If Kapila's age =x.

Then Sasha's age would be =2x.

Their total age would be 3x.

Because 2x+x adds up to be 3x.

6 + 9 - 5 x 10 ÷ 5 + 1/2 of (90 - 25 + 5) =

Answers

Answer:

40

Step-by-step explanation:

B I D M A S

(90 - 25 + 5) = 70

1/2 x 70 = 35

10 ÷ 5 = 2

5 x 2 =10

6 + 9  = 15

15 - 10 = 2

.... cba

Population data from three towns is displayed in the tables below. Which
town has growth that follows an exponential model?

Answers

Answer:

Rushmont

Step-by-step explanation:

Trenton can be ruled out due to its constant increase rate of 1.5. Rushmont can be ruled out because it goes from an increase rate of ~1.8 to an increase rate of 1.4 to an increase rate of 1.3 (exponential decay, not growth, so possibly...). Springville has a rate of ~1.9, then 1.475, then 1.3, also exponential decay. However, y\ =\ x\frac{38}{10}-185 goes through all of springville's points (or close to it), so Rushmont must be the answer.

The town that has growth that follows an exponential model is Town B, Rushmont where the population increases or decreases at a consistent rate over time.

In this case, analyze the population data from the three towns to determine which one exhibits exponential growth.

Let's go through each option briefly:

A. Springville:

The population of Springville in 1960 is 42, and in 1990 it is 156.The difference in population over 30 years is 156 - 42 = 114.The average increase per year is 114 / 30 = 3.8.The growth in Springville does not follow a consistent exponential pattern, as the average increase is not constant over time.

B. Rushmont:

The population of Rushmont in 1960 is 38, and in 1990 it is 131.The difference in population over 30 years is 131 - 38 = 93.The average increase per year is 93 / 30 = 3.1.The growth in Rushmont exhibits a consistent increase of approximately 3.1 per year, indicating a possible exponential model.

C. Trenton:

The population of Trenton in 1960 is 32, and in 1990 it is 108.The difference in population over 30 years is 108 - 32 = 76.The average increase per year is 76 / 30 = 2.5.The growth in Trenton does not follow a consistent exponential pattern, as the average increase is not constant over time.

Based on the analysis above, the town that shows growth following an exponential model is Rushmont (B). It exhibits a consistent increase in population over time, suggesting exponential growth.

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In a bag there are red, green and purple counters. 3⁄8 of the counters are red, 1⁄6 of the counters are green. What fraction of the counters are purple?

Answers

3/8 + 1/6 = 9/24 + 4/24 = 13/24
The purple counters must be 11/24 of the total

Solve the equation for x. the square root of the quantity x plus 4 end quantity minus 7 equals 1

Answers

Answer:

x = 60

Step-by-step explanation:

I hope it helps :)

[tex]\sqrt{x+4} -7=1\\\mathrm{Add\:}7\mathrm{\:to\:both\:sides}\\\sqrt{x+4}-7+7=1+7\\\sqrt{x+4}=8\\\mathrm{Square\:both\:sides}\\\left(\sqrt{x+4}\right)^2=8^2\\x+4=64\\x = 64-4\\x = 60[/tex]

1/5 of a certain number is added to 5½ the same as when ⅙ of the number that is subtracted from 30⅖find the number​

Answers

Step-by-step explanation:

1%2F5n + 51%2F5 = 302%2F5 - 1%2F6n

make the 3rd term an improper fraction

1%2F5n + 51%2F5 = 152%2F5 - 1%2F6n

multiply equation by 30, cancel the denominators, resulting in:

6n + 6(51) = 6(152) - 5n

6n + 306 = 912 - 5n

6n + 5n = 912 - 306

11n = 606 is the number

n = 606/11

n = 55 1/11

Answer:

68

Step-by-step explanation:

let unknown number be x

⅕x + 5½= 30⅖ - ⅙x

⅕x + 11/2= 152/5 - ⅙x

collect like terms

⅕x+⅙x= 152/5 - 11/2

[tex] \frac{11}{30}x = \frac{249}{10} [/tex]

cross multiply

30 * 249=(11 * 10)x

7470=110x

x=7470/110

x= 68

Getaway Travel Agency surveyed a random sample of 45 4545 of their clients about their vacation plans. Of the clients surveyed, 21 2121 expected that they would go on 3 33 vacations in the next year. There are 516 516516 Getaway Travel Agency clients. Based on the data, what is the most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 3 33 vacations in the next year?

Answers

Answer:

241

Step-by-step explanation:

Given the following :

Number of random samples surveyed = 45

Of the random samples surveyed, 21 expected to go on 3 vacations in the next year:

Total number of clients = 516

Percentage of random sample surveyed who intend to go 3 vacations in the next year :

(21 / 45) * 100

0.4666667 * 100 = 46.7%

That is 46.7% of surveyed sample intend to go on 3 vacations in the next year.

Therefore using these to make inference about the number of total client who will go on 3 vacations in the next year:

46.7% of total clients

(46.7 / 100) * 516

= 240.8

= 241 ( to the nearest whole number)

In how many ways can we put five identical fruits into three bowls? Note that the bowls may be empty.

Answers

So u have 5 fruits and 3 bowls

Divide 5 into 3 that would equal how many grams you would put in one bowl then measure that and then complete it by adding that amount into each bowl

Xia Paul pale dye all’s shh eke eve when’s

Two fractions equivalent to 1/3

Answers

Answer:

2/6 or 3/9

Step-by-step explanation:

1/3 x 2 = 2/6

1/3 x 3 = 3/9

Answer:

2/6 3/9

Step-by-step explanation:

to find equivalent fractions you can just multiply, or count by the denominator for example, 3 , 6 , 9 and so on and then with the numerator you count how much you went like, if you went to sixths than it was 2 because you skip counted.

Solve for q. –17 − 12q = –17 + 10q

Answers

Step-by-step explanation:

–17–12q=–17+10q

–17+17=10q+12q

0/22=22q/22

q=0

PLZ HELP NOW!

Geoffrey is trying to earn $50 to buy a video game. He has saved $14.25. He earns $3.75 per hour cleaning windows with his uncle and he earns $6.50 per hour working at the grocery store. Can Fred buy the video game if he works with his uncle for 3 hours and at the grocery store for 4 hours? Use the inequality 3.75y + 6.50z + 14.25 ≥ 50.

Yes, because the total will be $51.50.
Yes, because the total will be $60.25.
No, because the total will be $24.50.
No, because the total will be $37.25.

Answers

Answer:

yes the total will be 51.50

Step-by-step explanation:

3.75(3) + 6.50(4) + 14.25 [tex]\geq[/tex] 50.

11.25 + 26 + 14.25 = 51.50

Answer:

Yes, or A

Step-by-step explanation:

You can go onto a graphing calculator and input that inequality to find the solution, but you can multiply the 3.75 by 3 because he works with his uncle for 3 hours, and multiply the 6.5 by 4 to get 11.25 and 26. You add these together to get 37.25 and then add the 14.25 from his savings to get 51.50.

51.50 is how much he will have, and this is greater than 50.

Victoria is scuba diving off the coast of Hawaii. When she is ready to come back to the surface, she rises 40 yards at a safe speed. She climbs 1 foot every 2 seconds. How many minutes will it take her to reach the surface?

Answers

Answer:

it will take her 79.76 minutes to rise to the surface

Step-by-step explanation:

Total distance to the surface = 40 yards

speed of rising = 1 foot per seconds

1 foot = 1 second

since the total distance is in yards, let's convert from foot to yards:

1 yard = 3 feet

1 foot = 1/3 yards = 0.333 yards

0.33 yards = 1 second

Next, let's convert from seconds to minutes

60 seconds = 1 minute

∴ 1 second = 1/60 minute

1 second = 0.0167 minute

Therefore the speed at which she rose:

speed

0.333 yards = 0.0167 minutes

Now for a distance of 40 yards:

[tex]1\ yard = \frac{0.0333}{0.0167} minutes\\\therefore\ 40\ yards = \frac{0.0333}{0.0167} \ \times\ \frac{40}{1} \\= \frac{1.332}{0.0167} \\= 79.76\ minutes[/tex]

Answer:

4 minutes

Step-by-step explanation:

please please please help asap

Answers

Answer:

1,3,5

Step-by-step explanation:

81 is a perfect square so it can be written as an integer

11.8 is rational because it can be written as a fraction (107/9)

sqrt(6) isn't a perfect square so it is irrational

3/7 is a fraction so it is rational

8.57 is a terminating decimal so it is rational

Type the correct answer in the box. Use numerals instead of words.
Find the area of this shape.
4 cm
2 cm
4 cm
4 cm
5.75 cm
The area of the shape is
square centimeters.

Answers

Answer:

35 cm squared

Step-by-step explanation:

Triangle area = bxh 2 = 5.75 x 8 / 2 = 23

Trapezium Area  = a+b /2 x h = 8 + 4 /2 x 2 = 12

23 + 12 = 35

Hope that helped!!! k

Answer: 35cm^2

Explanation:

Find the area of trapezoid:

A = (8 + 4)2/2 = (12 x 2)/2 = 24/2 = 12

Find the area of the triangle:

A = (8 x 5.75)/2 = 4 x 5.75 = 23

Find the area of the whole shape:

A (trapezoid) + A (triangle) = A (whole shape)

12 + 23 = 35 = A (whole shape)

Select the correct answer. For what purpose are goods and services produced in a socialist economy? A. profits B. their usefulness C. to create demand D. to meet all consumer needs

Answers

Answer: B. their usefulness

Step-by-step explanation: A socialist economy may be described as a system whereby factors of production including goods and services are generally explored and processes in other to serve and benefit the people. In socialism, resources are deemed to be owned by all members of the public and as such total control resides with the government who makes decision on production, processing and sales of the resources to serve useful benefit for the people. The socialist econmoy opposes the capitalist form of government whereby goods and services are generated in other to yield profit.

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Plz answer this is important Need help pls will give you five stars A borrows a certain amount of money from B at simple interest of 15% for two years and lends it to C at the compound interest of 15% for the same period. If A makes a profit of Rs. 90, then the amount he borrowed from B is?a. Rs. 900 b. Rs. 3000 C. Rs. 4000 d. Rs. 6000 &ContentWhat is Martin Luther King's jr message? What ideas anddetails does he include to make thatmessage clear? Please Help!! Whoever helps and gets it correct gets Brainliest and 5 star rating!! 2/5 = 6/ = 10/30 = 14/ Please tell asap An outdoor gear company develops a new type of fabric that works with electricity to warm the body without interfering with motion like heavy jackets do. Research biologists, studying life in extremely cold conditions on the polar ice caps, begin wearing the new fabric because it helps them work more comfortably, and they find it increases their productivity.What best describes how the processes of scientific investigation and technological design are involved in this situation?The clothing company conducted a scientific investigation to communicate results to researchers, who then used the knowledge in a technological design.The clothing company conducted a scientific investigation to produce a product that researchers could then test while designing new technology.The clothing company used technological design to create a product that helped aid researchers conducting a scientific investigation.The clothing company designed a new technology that provided information researchers needed in order to continue with their scientific investigation. Please tell me the answer ASAP Lynette's average score on five tests is 18. If she scores 24 points on her sixth test, what is her average score on all six tests? Show Your Work Write the expression 12-2 in simplest form. State the correct polar coordinate for the graph shown. It is not the option selected. Double a number decreased by 25.6 is equal to 90 Find the number First Aid is used for all of the stated reason except:O Protect LifeO Prevent injuryO Promote recoveryO Preserve life What is the voltage of the power source if a motor with a resistance of 20 2 draws acurrent of 1.5 A? 9,583,507 to the nearest ten thousand Is the United States a civilization? Which is the best interpretation of the two flat portions of the graph?A. These show where the temperature is 0C.B. These show where changes of state are occurring.C. These show where kinetic energy is increasing.D. These show where thermal energy does not exist. What two times could this be on the 24-hour clock? Which state of water concentration is healthiest in an animal cell?A. IsotonicOB. HypertonicC. EquitonicD. Hypotonic In regard to the rights and powers of the national government, what was the view of the Federalists? Given angle EFG has angle bisector FH, where EF = GF, find the value of y if EH = 5y + 10 and HG = 28 - y.