if two similar rectangles have a scale factor of 5:2 and the area of the smaller rectangle is 45 cm^2, what will be the area of the larger rectangle?

Answers

Answer 1

Answer:

281.25 cm^2

Step-by-step explanation:

Given that,

The scale factor of Two similar triangles = 5:2

Area of the smaller rectangle = 45 cm^2

To find,

The Area of the larger rectangle = ?

Procedure:

As we know, similar triangles have similar ratios of sides. Thus, this can be written in proportion with the sides' ratio to the left while ratio of areas on the right.

(5)^2/(2)^2 = a/45

∵ The area of the larger rectangle = 25/4 * 45

= 281.25 cm^2


Related Questions

what is 100 over 2 simplifided

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Answer:

50

Step-by-step explanation:

10-4/4x89-1/2+43992/69x174

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10.127781530000000000

what is the percent increase in 300 and 375

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Answer:

25

Step-by-step explanation:

Answer:

300/375=0,8

it decrease

if the discriminant is negative how many solutions are there

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Answer:

Two solutions.

Step-by-step explanation:

Can someone pleaseee answer this

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Answer:

Answer is in the attached file.

Answer:

  x = 80

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angles.

  2x -48 = x +32

  x = 80 . . . . . . . . . . add 48 -x to both sides

Mr. Jones bought a piece of land for 60 000. The land increased in value by 20% in a year. The new value of the land is​

Answers

Answer:

$72,000

Step-by-step explanation:

If we take 60,000 and then take 20 percent of it, we get 12,000. Then we add 12,000 to 60,000 and it gives us 72,000.

Simplify
8(x+3)²/2(x + 3)

Answers

Answer:

4x+12

Step-by-step explanation:

4(x+3)²/x+3=4x+12

plesae urgent hurryy for brainlist !!!!!!!!!!!

Answers

C, or 5000(0.9)t is correct.

Multiplying by 0.1 would not make the car’s price go down by ten percent, but 90. Hence, C is correct.


Hope this helps!

Your parents have given you some money to spend with your friends at Water World. You already have purchased a banana split for $7, and you end the day with $17. WRITE AND SOLVE an equation to find how much money you started the day at Water World with.

Answers

Answer:

$17=x-$7

x=$24

Step-by-step explanation:

Carry the 7 to the other side

$17+$7=x

x=$24

Sophia and her brother combined to read a total of 40 books over the summer. Sophia read four times as many books as her brother. How many books did each person read? show work please​

Answers

Answer:

Sophia read 32 books and her brother read 8

Step-by-step explanation:

Represent Sophia as 4x and her brother as x

4x + x = 40

5x = 40

x = 8

Therefore, her brother read 8 books and Sophia read 32 books

Help!! Ill give 100 points!

Answers

Answer:

It will take about half an hour more for maria to finish his/her project than Juan.

Step-by-step explanation:

9/10 > 2/6

=> 54/60 > 20/60

=> 34/60

Therefore, it will take about half an hour more for maria to finish his/her project than Juan.

Hoped this helped.

Answer:

50min estimate 3/4h

Step-by-step explanation:

find 9/10h

60 : 10 * 9 = 54 min

find 2/6h

60 : 6 * 2 = 4 min

54 - 4 = 50 min

i have some free things for yaaal​

Answers

1+1=

Step-by-step explanation:

what are the free things

pls give me brainliest

A company is shipping toys
to stores in boxes. Each
box will hold 16 toys.
How many boxes will be
needed to ship 2,944 toys?

Answers

2944 / 16 = 184boxes

Answer:

184 boxes

Step-by-step explanation:

Hope it helps:)

I really need the answer to this

Answers

Answer:  14.2

=============================================

Explanation:

Let point N be at the intersection of the horizontal line and segment JM.

We can prove the right triangles JNK and MNK are congruent using the hypotenuse leg (HL) rule. This in turn means JN = NM through the use of CPCTC.

In other words, JN = NM because the horizontal line is the perpendicular bisector of JM.

So,

JM = JN + NM

JM = NM + NM

JM = 2*NM

JM = 2*7.1

JM = 14.2

Answer:

JM = 14.2

Step-by-step explanation:

Given JK = MK then Δ JKM is isosceles.

The line through K is a perpendicular bisector of JM , so

JM = 2 × 7.1 = 14.2

Josh went to a restaurant for dinner. The cost of the
meal was $24 with a discount of $2. If the total bill includes
an 8% sales tax and a 14% tip, what is the discount
percent? What was the total bill including the tax and the
tip?

Answers

Answer:

17.41 Dollars

Step-by-step explanation:

First, you take the discount, which is 2 dollars, so now the cost without any additional costs is 22 dollars. Next, find 8 percent of 22 by multipling 22*0.08 and then you get 1.76. Subtract that from 22 and 20.24. Then take 14 percent of 20.24 by multiplying it by 0.14, which you get 2.8336. Round that down and you get 2.83. Subtract that from that and you get 17.41.

How many solutions does 8 + x/6 = x/6 - 4 + 5x/12 have?
A. Two solutions.
B. No solutions
C. Infinitely many solutions
D.One solution​

Answers

Answer:

It has got one solution since it is a linear equation which falls under polynomials

The sum of two numbers is 80
their difference is 38.
The product of these 2 numbers is __?

Answers

1239

hope this helps

The following function represents the value of a car, in dollars, after x years: f(x) = 24,000(0. 92)x What does 0. 92 represent? The present value of the car The value of the car after x years The decrease in the value of the car, which is 92% The decrease in the value of the car, which is 8%.

Answers

0.92 represents the decrease in the value of the car which is 8% and this can be determined by using the given data.

Given :

The given function represents the value of a car, in dollars, after x years.[tex]f(x)=24000(0.92)x[/tex]

The following steps can be used in order to determine what does 0.92 represents:

Step 1 - Write the given function.

[tex]f(x)=24000(0.92)x[/tex]

Step 2 - In the given function $24000 represents the original value of the car.

Step 3 - According to the given data, 'x' represents the number of years.

Step 4 - Also in the given function, '0.92' represents the decrease in the value of the car which is 8%.

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/5245372

If the only force acting on the player is gravity what is F in F=ma?

Answers

Answer:

  F is the force due to gravity

Step-by-step explanation:

F is the force resulting from gravity acting on the player whose mass is m. 'a' is the acceleration due to gravity, about 9.8 meters/second².

0.69 is an integer true or false

Help I have no idea what to do

Answers

Answer:

false

Step-by-step explanation:

An integer is a whole number and 0.69 is not a whole number.

Mark deposited $750 in a savings account earning 3% interest over 9 years. What was the total interest earned after 9 years?

Answers

Answer: The final balance is $982.47.

The total compound interest is $232.47.

Step-by-step explanation:

I NEED HELP
Find the value

Answers

Answer:

7 and 2?

Step-by-step explanation:

i think because f(2) : f(x)= 5+2x = 7

Please help look at the picture below

Answers

Answer:

I’m sorry I don’t know

Step-by-step explanation:

☹️☹️☹️☹️☹️

A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 6% vinegar, and the second brand contains 11% vinegar. The chef wants to make 380 milliliters of a dressing that is 7% vinegar. How much of each brand should she use?

Answers

Answer: To make a 310mL mixture that contains 8% vinegar, use 186mL of the first brand and 124mL of the second brand.

Step-by-step explanation:We want the total mixture to be 310mL so: F + S = 310

 

Also, you want the total mixture to contain 8% vinegar so: .06F + .11S = .08(310)

 

Now, we can solve the system of equations using substitution.

 

F + S = 310

.06F + .11S = .08(310)

 

F = 310 - S      [solve 1st equation for F]

.06(310 - S) + .11S = .08(310)     [substitute into 2nd equation]

18.6 -.06S +.11S = 24.8

.05S = 6.2

S = 124

 

F + 124 = 310     [substitute answer for S back into original equation]

F = 186

 


El Club de Matemáticas está horneando pasteles para una venta de
pasteles. La receta del pastel de frutas requiere el doble de melocotones
que nectarinas. Si se necesitan un total de 168 piezas de fruta para todas
las tartas, ¿cuántas nectarinas se necesitan?

Answers

Answer:

56

Step-by-step explanation:

El problema se puede transcribir en esta ecuación:

2x + x = 168

siendo x las nectarinas

sumas los términos de x:

3x=168

despejas x:

x = 168 ÷ 3

x = 56

The following diagram shows the side view of a roof and attic space of a newly constructed
home. Find m

A. 20°
B. 40°
C. 60°
D. 25°

Answers

Answer:

A 20

Step-by-step explanation:

yeah-ya....... right?

Can someone please help me with this easy math problem?

Answers

Answer: 644.4 sq cm

Step-by-step explanation:

First transform the 8.5 and 11.75 into centimeters as that is what you are trying to find do this by multiplying each sum by 2.54

A.)8.5*2.54=21.59 centimeters

B.)11.75*2.54=29.845

C.)Now to find the Area we multiply the two

21.59*29.845=644.35355

Which we an round do 644.4

Suppose you know the area of the yard is 7,500 square feet. How can you find the value of a?


—help and it comes with a picture

Answers

Answer:

a = 50

Step-by-step explanation:

From the introduction, you know that the area is 3a^2

You also know that it is 7500 square feet. \

So the two must be equal

3a^2 = 7500                    Divide by 3

a^2 = 7500/3

a^2 = 2500

The square root of 2500 is 50

sqrt(a^2) = sqrt(2500)

a = 50

Find the difference between 7/10 and 1/5

Answers

Answer:

Its d 5/10

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Raj pays $7.99 per month for a movie subscription service. One month he also rents 3 movies from the service. His bill for the month is $19.96. How much does Raj pay to rent each movie?

Answers

raj pays $3.99 to rent each movie
explanation: you would subtract $7.99 from $19.96 and have a remainder of $11.97 and divide that by 3 to get $3.99

Answer:

Each movie costs 3.99

Step-by-step explanation:

If every month he is paying $7.99 initially for the service, you take $19.96 and subtract the initial cost ($7.99) then your left with $11.97 and since he bought 3 movies then you divide $11.97 by 3 and your left with $3.99 which is your final answer!

Hope this makes sense!

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