A rectangle with area 12 square units is dilated by a scale factor of k. Match each given value of k with the area of the image.
(match the number with the letter it belongs with)

1.) k=2

2.) k=5

3.) k=1

4.) k=1/4

5.) k=1.2

A.) 48 square units

B.) 17.28 square units

C.) 300 square units

D.) 12 square units

E.) 0.75 square units

A Rectangle With Area 12 Square Units Is Dilated By A Scale Factor Of K. Match Each Given Value Of K

Answers

Answer 1

After calculating , when k = 2 the matching area could be 48 for k=5 ,the matching area could be 300 and for k=1.2 ,the matching area could be 17.28 and for k=1 ,the matching area could be 12,for k=1/4 ,the matching area could be 3/4 .

What is area of rectangle ?

area of rectangle is defined as the product of length and breadth is called as the area of rectangle.

Given,

A rectangle with area 12 square units is dilated by a scale factor of k.

When linear dimensions of similar figures are related by a factor of k, their areas are related by a factor of k².

For an original figure of area 12, each image figure dilated by a factor of k will have an area of 12k².

For k=2, the area is =

 12(2)² = 12*4 = 48 square units

For k=5, the area is =

 12(5)² = 300  square units

For k=1, the area is =

 12(1)² = 12*1 = 12 . square units

For k=1/4, the area is =

 12(1/4)² = 12/16 = 3/4 . square units

For k=1.2, the area is =

 12(1.2)² = 12*1.44= 17.28 square units

Hence, After calculating , when k = 2 the matching area could be 48

for k=5 ,the matching area could be 300 and for k=1.2 ,the matching area could be 17.28 and for k=1 ,the matching area could be 12,for k=1/4 ,the matching area could be 3/4

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Related Questions

what's HCF/GCD of 144 and 0 ?​

Answers

Answer:

144 =4

=>144=2×2×2×3×3

OK

OK i know this only

enjoy your day

HELP MEEEEEE PICKING BRAINLIEST!!!

Answers

Answer:

2 kg cashews

6 kg pecans

Step-by-step explanation:

System of Equations:

c + p = 8

8c + 7p = 8(7.25)

let c = 8-p

8(8-p) + 7p = 58

64 - 8p + 7p = 58

-p = -6

p = 6

Heidi rolls two 6-sided number cubes. What is the probability that she rolls a
sum equal to 7? Use the diagram of the sample space to help you.

Answers

Answer:

The probability is A 6/36

Step-by-step explanation:

Two 6 sided dice = 12  

The composite score range for the ACT is:
A. 20 to 85
B. 1 to 98
C. 1 to 50
D. 1 to 36.

Answers

The composite score range for the ACT is D) 1 to 36.

The composite score range for the ACT (American College Testing) is the total score achieved by an individual after taking all four sections of the ACT, which include English, math, reading, and science. The composite score ranges from 1 to 36, with 36 being the highest possible score.

The ACT score is used by colleges and universities in the United States to assess the readiness of a student to enter college. A high composite score indicates that the student has the skills and knowledge needed to succeed in college-level courses. Therefore, the correct answer is D) 1 to 36.

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Find the slope for the line that runs through points (2, 5) and (-3, 7)

Answers

I got this as my answer.

Answer:

-0.4

Step-by-step explanation:

to solve use the formula m=y2-y1/x2-x1

The area of a rectangular room is 240 square feet. The width is 12 feet. What is the length?

Answers

Answer:

20 ft

A=wl

l=A/W=240/12=20ft

 

Write two integers that are closest to the number in the middle to complete the statement.

Answers

4 and 5

finally that is closest to the number in the middle to complete the statement

write a polynomial in standard form that represents the area of the shaded region

Answers

Answer:

x^2-3x+36

Step-by-step explanation:

subtract the area of the inside rectangle from the outside one

THE ANSWER IS: x^2 - 3x + 36

The graph shows depth of water in a tank over time.
Calculate the rate at which the depth is decreasing.
Give your answer as a decimal.
PLEASE HELP ASAP!!!

Answers

74 is the answer to this question

The ratio of coretta's weight to Justin's weight is 3:4. If corretta gains 5 pounds the ratio of their weights will be 4:5. How much does Justin weigh?

Answers

Answer:

100 pounds

Step-by-step explanation:

E
С
70
A
D
B
What is mZDEA?
OA) 20°
OB) 70°
OC) 90°
OD) 180°

Answers

I would say 180 but its just a guess
90 degrees it is a right angle

40 kişinin katıldığı bir davete 5 evli çift daha
katılırsa, davete katılan erkeklerin sayısı, ka-
dınların sayısının 2 katından 13 eksik oluyor.
Buna göre, son durumda davete kaç erkek-
katılmıştır?
a) 30 D) 29 C) 26
D) 24​

Answers

sen türksün be ne işin var senin burada

Complete the equation of the line whose slope is 5 and y- intercept is (0,4)
y?

Answers

Answer:

y = 5x + 4

Step-by-step explanation:

y - 4 = 5(x - 0)

That is point-slope form. I'm not sure if you want it in slope intercept form, but slope intercept form of the equation is y = 5x + 4

Answer:

y=5x+4

Step-by-step explanation:

y=mx+b

24x^2 + 26x - 104 solve for x

Answers

Answer: 24x2+26x−104 or -104

Step-by-step explanation:

Find the distance between
(5 , 1 ) and ( 3 ,6)

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{(6-1)^{2}+(3-5)^{2} }[/tex]=[tex]\sqrt{29}[/tex]

                               =5.39(correct to nearest hundredth)

Your family has a second car that takes 1 gallon per 25 miles and has 10 gallons to start. Write an equation, identify the y intercept and slope. Please help !

Answers

Answer:

Let's use the slope-intercept form of the equation of a line describe the slope and the y-intercept:

y = mx + b where m=slope and b=y-intercept

y = mx + b
y = 25x + 10

Ian​'s car can go 93 miles on 3 gallons of gas. During a drive, last​ weekend, Ian used 8 gallons of gas. How far did Ian ​drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ian drove last weekend instead of how much gas used.

Answers

Answer:248

Step-by-step explanation:

First you need to find the unit rate by dividing 93 by 3 which would be 31 then take that number (which is how many miles for one gallon) and multiply it by 8 which would get you 248( if you need this as an equation here 93\3= 31 31*8 = 248). If they gave you the distance instead you would have had to divide by 31 instead of using multiplication. Hope this helps!

What is the area of the trapezoid below? 7in 4 in 5 in 12 in​

Answers

Answer:

1680 inches

Step-by-step explanation:

All you have to do is to multiply the numbers together.

7 × 4 = 28 in

5 × 12 = 60 in

60 × 28 = 1680

Therefor, the answer is 1680.

Which expression is equivalent to 1 1/2 plus 1 6/7 I NEED HELP HURRY

Answers

Answer: is this correct

Step-by-step explanation:


The compound interest on a sum of money in
2 years and 4 years are Rs 5,460 and Rs 12,066.60
respectively. Find the difference between principal
and compound interest of 3 years.​

Answers

Answer:

The difference between the principal and the compound interest in three years is Rs 17,994

Step-by-step explanation:

The compound interest is given according to the following formula;

[tex]C.I. = P \cdot \left ( 1 + \dfrac{r}{n} \right ) ^{n\cdot t} - P[/tex]

The given amount of the compound after 2 years = Rs 5,460

The given amount of the compound after 4 years = Rs 12,066.60

Therefore, we have;

[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P[/tex]...(1)

[tex]12,066.60 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{4} - P[/tex] ...(2)

Dividing equation (2) by (1), we have;

[tex]\dfrac{12,066.60}{5,460} = \dfrac{P \cdot \left ( \left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1\right )}{P \cdot \left (\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 \right ) } =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 }[/tex]

[tex]Let \ \left ( 1 + \dfrac{r}{100} \right ) ^{2} = x, we \ get;[/tex]

[tex]\dfrac{12,066.60}{5,460} =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 } = \dfrac{x^2 - 1}{x - 1}[/tex]

∴ 12,066.60 × (x - 1) = 5,460 × (x² - 1) = 5,460 × (x - 1) ×(x + 1)

∴ 12,066.60 × (x - 1)/(x - 1) = 5,460 × (x + 1)

12,066.60/5,460 = x + 1

x =  12,066.60/5,460 - 1 = 1.21 = 121/100

x = 121/100

[tex]\left ( 1 + \dfrac{r}{100} \right ) ^{2} = x = \dfrac{121}{100}[/tex]

[tex]1 + \dfrac{r}{100} =\sqrt{ \dfrac{121}{100}} = \dfrac{11}{10}[/tex]

We get

[tex]\dfrac{12,066.60}{5,460} =\dfrac{221}{100}[/tex]

[tex]\therefore \dfrac{12,066.60}{5,460} =\dfrac{221}{100} = \left ( 1 + \dfrac{r}{100} \right ) ^{2}[/tex]

[tex]1 + \dfrac{r}{100} = \sqrt{ \dfrac{221}{100} } = \dfrac{\sqrt{221} }{10}[/tex]

[tex]\dfrac{r}{100} = \dfrac{\sqrt{221} }{10} - 1[/tex]

[tex]\dfrac{r}{100} = \dfrac{11}{10} - 1 = \dfrac{1}{10} = 0.1[/tex]

r = 100 × 0.1 = 10%

r = 10%

Therefore, we have;

[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P = P \times \left ( 1 + 0.1\right ) ^{2} - P[/tex]

[tex]5,460 = P \times \left ( 1 + 0.1\right ) ^{2} - P = P \times \left (\left ( 1 + 0.1\right ) ^{2} - 1\right) = P \times \dfrac{21}{100}[/tex]

[tex]P = \dfrac{100}{21} \times 5,460 = 26,000[/tex]

The principal = Rs. 26,000

The compound interest in 3 years is therefore;

[tex]CI_3 = 26,000 \times \left ( 1 + \dfrac{10}{100} \right ) ^{3} - 26,000= 8606[/tex]

The difference, 'd', between the principal and the compound interest in three years, is given as follows;

d = P - CI₃

d = 26,600 - 8606 = 17994

The difference between the principal and the compound interest in three years, d = Rs 17,994.

solve 1.9(2x + 1) = 22x + 13

Answers

the answer is: x= -111/182

Answer:

x= -0.60989010989

Step-by-step explanation:

The radius of a circle is 2 inches. What is the circle's area?
r=2 in
Use 3.14 for a
square inches

Answers

Answer:

12.56 in.

Step-by-step explanation:

A=Pi*R to the 2nd power

A=3.14*2 to the 2nd power

A=3.14*4

A=12.56

Let me know if im wrong

Area of the circle is 12.56 square units which has radius 2 inches.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that radius of a circle is 2 inches.

We need to find the area of circle.

Radius= 2 inches.

π=3.14

We know that area of circle=πr²

Area of circle=3.142×2²

=3.142×4

=12.56 square inches.

Hence, area of the circle is 12.56 square units which has radius 2 inches.

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x+10> 20 or x+12< 3. Help please!!!

Answers

Answer:

x < -9 or x > 10.

Step-by-step explanation:

x + 10 > 20

x  > 10.

x + 12 < 3

x < -9.

bg=3 Solve the following equation for b. Be sure to take into account whether a letter is capitalized or not.

Answers

Answer:

B

Step-by-step explanation:

The equation for B would be as; B = 3/G

How can we find the solution to an equation?

We do same operations on both the sides so that equality of both expressions doesn't get disturbed. Solving equations generally means finding the values of the variables used in it for which the considered equation is true.

Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are infinite number of solutions.

Remember that Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

WE have the given equation as

BG = 3

To solve for the B, we have to eliminate the G from its side;

Then;

B = 3/G

Therefore , the equation for B would be as; B = 3/G

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5.12 = 5w, what is W

Answers

Answer:

The answer is 1.024

Step-by-step explanation:

5.12 divided by 5 = 1.024

Hope this helps.

Amjed has 223 cards in his trading card collection. Latif has
8.741 cards in his trading card collection. Using the orders of
magnitude, about how many times more trading cards does Latif
have than Amjed?

Answers

Answer:

The orders of magnitude are numbers of the form:

10^n

where n can be any integer number.

So we can write something like:

"A is n orders of magnitude above B

Now we have the quantities:

Amjed cards = 223

Latif cards = 8741

We want to find how many times more trading cards does Latif  have than Amjed.

Then we need to look at the quotient between the number of cards of Latif and Amjed.

8741/223 = 39.2

Now we need to approximate this to the nearest 10^n number.

(..., 0.1, 1, 10, 100, 1000, ...)

The nearest one to 39.2 is 10.

So we can say that Latif's collection is 10.

and 10 = 10^1

then n = 1

Then we can say that Latif's collection is one order of magnitude above Amjed's collection.

I need help?!?!
I think it’s 9 ??!!

Answers

Answer:

C. 14

iedujdd

Step-by-step explanation:

i think i searched

Answer:

9

Step-by-step explanation:

Triangle DCE and ACD are similar (they share the angle at A, and since DE║CB, ∠D=∠C and ∠E=∠B (corresponding angles))

That means the side lengths are in ratio:

12/(8+12)=?/(6+?)

0.6(6+?)=?

3.6+0.6?=?

0.4?=3.6

?=9

No question, just whoever needs free answers.
Answer this and get free answers for a bit.

Now what's 2+2?

Answers

Answer:

4 lol

Step-by-step explanation:

Answer:

 

Step-by-step explanation:

Convert each angle measure to decimal degrees. If applicable, round to the nearest thousandth of a degree.
35° 30′
-60° 12′

Convert each angle measure to degrees, minutes, and seconds. If applicable, round to the nearest second.
39.25°
126.76°
-18.515°
31.4296°

Find the angle of least positive measure (not equal to the given measure) that is coterminal with each angle.
-40°
-361°
539°
850°

Give two positive and two negative angles that are coterminal with the given quadrantal angle.
90°

Write an expression that generates all angles coterminal with each angle. Let n represent any integer.
30°
90°

Concept Check: Sketch each angle in standard position. Draw an arrow representing
the correct amount of rotation. Find the measure of two other angles, one positive and one negative, that are coterminal with the given angle. Give the quadrant of each angle, if applicable.
75°
174°
300°
61°
90°

Answers

Answer:

its 61

Step-by-step explanation:

A machine paints 360 toy boats in 45 MINUTES. Write the expression that represents the unit rate per HOUR

Answers

Answer:

480 toy boats per hour

Step-by-step explanation:

1. Divide 360 by 45 to find unit rate per MINUTE.

360 / 45 = 8

2. One hour = 60 minutes, so multiply 8 and 60.

8 * 60 = 480

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