Two cubes have a scale factor of 4:1, what is the ratio of the surface areas of these cubes

Answers

Answer 1

Final answer:

The ratio of the surface areas of the two cubes with a linear scale factor of 4:1 is 16:1, because surface area is proportional to the square of the scale factor.

Explanation:

When working with scale factors in geometry, and specifically with cubes, the ratio of scale factors for linear dimensions affects the surface area and volume in specific ways. If two cubes have a scale factor of 4:1, the ratio of their surface areas is the square of the scale factor. Since the scale factor for the linear dimensions is 4, the ratio of the surface areas will be 42:12, or 16:1.

The surface area of a cube is calculated by multiplying the area of one face (length x width) by 6, as a cube has 6 faces. If one cube has a side four times as long as the other, each of its faces will be 42 times larger because area is a two-dimensional measurement. Thus, the surface area of the larger cube will be 16 times greater than that of the smaller cube, hence the ratio 16:1.


Related Questions

A circle with radius 9 has a sector with a central angle of 120°
What is the area of the sector?
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal

Answers

Step-by-step explanation:

[tex]radius = 9[/tex]

[tex]central \: angle = 120 \times \frac{3.14or\pi }{180} radian[/tex]

[tex]central \: angle = 2.09334 \: approximately = 2.1[/tex]

[tex]area \: of \: sector = \frac{1}{2} \times {r}^{2} \times central \: angle[/tex]

[tex]putting \: the \: values[/tex]

[tex]area \: of \: sector = \frac{1}{2} \times {9}^{2} \times 2.1[/tex][tex] = \frac{1}{2} \times 9 {}^{2} \times 2.1[/tex]

[tex]area \: of \: sector \: = 85.05 {m}^{2} [/tex]

Answer:

27π square units

Step-by-step explanation:

Note that a central angle of 120° is exactly 1/3 of a full circle.

So to find the area of this sector, find the area of the whole circle and divide your result by 3:

A = (1/3)π(9)^2 = 27π square units

How do you know that the value of D will decrease when the value of N increases?

Answers

Explanation:

Hello! Remember you have to write complete questions in order to find good and exact answers. Here I'll assume that you need a relationship between D and N. So we know some facts:

As N increases, then D decreases

So this is an inverse relationship. We can write this as:

[tex]D\propto \frac{1}{N} \\ \\ \\ \boxed{D=k\frac{1}{N}} \\ \\ \\ \text{Where k is a positive constant}[/tex]

Since N lies in the denominator, as it increases then D will decrease. So this is a correct relationship

What is the edge length of 216 cubic inches?

Answers

The edge length of a cube with a volume of 216 cubic inches is 6 inches.

To find the edge length of a cube with a volume of 216 cubic inches, we can use the formula: Volume = [tex]edge length^3[/tex]. This formula tells us that the volume of a cube is equal to the edge length raised to the power of 3.

Given that the volume is 216 cubic inches, we can rearrange the formula to solve for the edge length. Let's call the edge length "x":

[tex]x^3 = 216[/tex]

To find the value of x, we need to find the cube root of 216. The cube root of a number is the number that, when multiplied by itself three times, equals the original number.

In this case, the cube root of 216 is 6, because 6 x 6 x 6 = 216.

Therefore, the edge length of a cube with a volume of 216 cubic inches is 6 inches.

To Learn more about original number here:

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What is 7,211 divided by 58?

Answers

Answer:

Approximately 124.327586

Step-by-step explanation:

Hope this helped.

Answer:

124.3275862068966

Step-by-step explanation:

I put it in my calculator


15. MODELING REAL LIFE You use a computer
program to transform an emoji. How can
you transform the emoji as shown?

(Picture above)​

Answers

Rotate it right (clockwise) 90 degrees

Answer:

either rotate it right 90 degrees or one quarter rotation or rotate it left 270 degrees or three quarters rotation.

Step-by-step explanation: either one works. could you please give me crow, i rly need it i just need two more. it wold help so much.

What is 18 divided by 82.8

Answers

Answer:

0.2173913043

Step-by-step explanation:

the answer is 0.21739

what is the perimeter of a rectangle with a height of 4 km and a length of 10 km

Answers

Perimeter is the sum of the 4 sides.

4+ 4 + 10 + 10 = 28 km

Answer:2 horizontal sides will equal 10 and The 2 Vertical side will equal 4. So add all them together to get 28.

Step-by-step explanation:Perimeter means the outside of Area so u can add all the numbers instead of mutiplying.

Solve for x (round to the nearest tenth)

Answers

Step-by-step explanation:

By Geometric mean property:

[tex]x = \sqrt{5 \times 3} \\ = \sqrt{15} \\ = 3.87298335 \\ \huge\orange {\fbox{\therefore \: x \approx \: 3.9}} [/tex]

3x + y = -3
How do I solve this equation by graphing?

Answers

Answer:

Step-by-step explanation:

That means y= -3x -3 in the y=mx+b form. It means that you will draw a dot at the point (0,-3). Then, M= #of points that you will go up or down (positive=up, negative= down). So, M= -3, negative, so go 3 points down to (0,-6) and go one point to the right. It will give you a point at (0,-3) and at (1,-6). Now, just draw the line and it s=is all done :)

Divide Whole Numbers by Unit Fractions Quiz How many 1/5 s are in 9? A. 5/9 B. 9/5 C. 45 D. 4 1/2

Answers

The answer is 9/5

You do 9x1/5 so 9x1 is 9. That’s your numerator and 5x1 is 5 and that’s your denominator

j(m) = 2m-1
What is j(4) ?
Enter your answer in the box.

Answers

Final answer:

To calculate j(4), we plug in 4 into the function j(m) = 2m - 1, which gives us j(4) = 7.

Explanation:

To determine the value of j(4) in the given function j(m) = 2m - 1, a straightforward substitution is applied. By replacing the variable m with the provided value of 4, the expression j(4) is computed as 2 × 4 - 1, yielding 8 - 1, which simplifies to 7. Therefore, the value of j(4) is unequivocally established as 7. This process exemplifies the fundamental concept of function evaluation, showcasing how input values substitute variables within a function, ultimately producing a specific numerical result for a given function and input combination.

whats is the value of x?

Enter your answer in the box

x = __

Answers

39,

put it in the translater to Spanish:

Los ángulos internos de un triángulo son iguales a 180•

Answer: X= 39

please mark brainliest

Step-by-step explanation:

102+39= 141

180-141 =39

it has to equal to 180 degrees

Is 2/6 equivalent to 20%

Answers

Answer:

2/6 is NOT equivalent to 20%

Step-by-step explanation:

2/6 is NOT equivalent to 20%

Reason :

To convert 2/6 to percentage

Multiply 2/6 by 100

That is ,

= 2/6 × 100   %

= 1/3 × 100   %

= 100/3 %

= 33.33%

33.33% is not same as 20%. Therefore 2/6 is not equivalent to 20%

I hope this was helpful, please mark as brainliest

The ratio of pencils to pens in the drawer is 8:14. If there are actually twice as many pencils as in the ratio, how many pencils and pens are there in the drawer?

A. 8 pens, 14 pencils

B. 8 pencils, 14 pens

C. 16 pens, 28 pencils

D. 16 pencils, 28 pens

Answers

Yo sup??

let the number of pencils and pens be 8x and 14x

x=2

therefore the number of pens and pencils are

16 pencils and 28 pens

Hope this helps

As the actual no. of pencils is double than that of the given ratio it is

C. 16 pens, 28 pencils

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, The ratio of pencils to pens in the drawer is 8 : 14, so for every 14 pencils, there are 8 pens.

Given, there are actually twice as many pencils as in the ratio.

Therefore actual no. of pencils are (2×14) = 28 pencils.

learn more about proportion here :

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!! How could it be s

Answers

The solution to the system of equations are (2, 5).

Solution:

The system of equations are

x + y = 7 – – – – (1)

2x – y = –1 – – – – (2)

To find x from equation (1):

x + y = 7

Subtract y from both sides of the equation, we get

⇒ x + y – y = 7 – y

x = 7 – y – – – (3)

Substitute (3) in (2) we get,

2(7 – y) – y = –1

14 – 2y – y = –1

14 – 3y = –1

Subtract 14 from both sides,

–3y = –15

Divide by –5 on both sides,

y = 5

Substitute y = 5 in equation (3)

x = 7 – 5

x = 2

The solution to the system of equations are (2, 5).

The perimeter of a rectangle is 18x – 24 and the width is
2x – 9. What is the length?
A: -7x + 3
B: 16x + 15
C: 7x - 3
D: 7x + 3

Answers

Answer:

C

Step-by-step explanation:

18x - 24 = 2 [length + 2x - 9]

9x - 12 = length + 2x - 9

Length = 7x - 3

Answer:

C: 7x - 3

Step-by-step explanation:

The perimeter of a rectangle is  given by

P = 2(l+w) where l is the length and w is the width

We know the perimeter is 18x -24 and the width is 2x-9.  Substituting these values into the equation

18x-24 = 2( l+2x-9)

Divide each side by 2

(18x-24)/2 = 2/2( l+2x-9)

9x-12 = l+2x-9

Add 9 to each side

9x-12 +9 = l+2x-9+9

9x -3 = l+2x

Subtract 2x from each side

9x-2x-3 = l+2x-2x

7x -3 = l

The length is 7x-3

In two to three sentences, explain how you would factor the following expression:
45y^2z+36yz^2+18yz

Answers

Answer:

9yz(5y+4z+2)

Step-by-step explanation:

I would first factor the whole polynomial by 9 since that's the LCM of the coefficients, giving us 9(5y^2z+4yz^2+2yz)

Then I would factor out yz as that's the LCM of the terms, giving us:

9yz(5y+4z+2)

And that's our answer.

The output is ten less then the input x

Answers

Y=X-10

Step-by-step explanation:

Step 1:

Let X be the input and Y be the output variable

Given:  The output is 10 less than the input

Step 2:

Y=X-10 be the require function

Eg:

for X=1, Y = -9

     X=2, Y=-8, etc

sophia pays a $19.99 membership fee for an online music store. If Sophia purchases n songs for $0.99 each, write an expression for the total cost.



A

0.99n−19.99

B

0.99n+19.99

C

0.99n×19.99

D

0.99n19.99


Part B

If she buys two songs from a new album, what is the total cost?

help me asap

Answers

Answer:

Step-by-step explanation: B

The sum of two numbers is -17. Their difference is 41. Find the numbers.

Answers

Answer:

the two numbers are 12 and -29

Step-by-step explanation:

let the two numbers be x and y

let the sum of the two numbers b

x+y = -17 ..................................................... equation 1

let the difference between the two numbers be

x-y = 41 ........................................................................ equation 2

from equation 1

x+y = -17 ..................................................... equation 1

x = -17 - y ............................................................... equation 3

substitute for x in equation 2

x-y = 41 ........................................................................ equation 2

-17-y -y = 41

-17 -2y = 41

-2y = 41 + 17

-2y = 58

divide both sides by -2

-2y/-2 = 58/-2

y = -29

put the value of y = -29 in equation 3

x = -17 - y ............................................................... equation 3

x = -17-(-29)

x =-17 + 29

x = 12

therefore the two numbers are 12 and -29

How to do this problem -40=12x+8

Answers

First subtract 8 from 8 and -40 because it is even.

Then divide -48 by 12, which equals -4.

Hope this helped! If it didn't, tell me what went wrong or confused you.

Answer:

The answer is x=-4

Step-by-step explanation:

-40=12x+8

-8          -8

-48=12x

-48/12=x

-4=x


The perimeter of the triangular park shown on the right is 10x - 3. What is the missing length?

Answers

Answer:

6x - 1

Step-by-step explanation:

Okay this is basically polynomial algebra:

1. Add the value of the lengths already given.

like terms: 3x + x = 4x, -4 + 2 = -2. Now you're left with, 4x - 2.

2. Find the difference between the perimeter and the sum of the lengths.

(10x -3) + (4x + 2) = 6x - 1

A grocery chain conducts a random survey of sales in stores to determine the types of juice to restock. The results are shown on the table. Which juice is MOST LIKELY to sell BEST when restocked? AN) Organic Apple Juice B) Organic Grape Juice C) Organic Pineapple Juice D) Grape Juice (from concentrate)

Answers

Answer:pineapple juice

Step-by-step explanation:

Dalton loses weight at a rate of 4% per week. the following function represents his weight loss after x weeks. W(x)=2(1.04)^x. Write the expression that reveals his approximate rate of weight loss per day.

Answers

Answer (1.04x=2. X=30103/.017033= 17.673

Answer:

Step-by-step explanation:

(1.006)^7x

I need help with this one please do not do decimals!

Answers

I've attached the picture you need below. 1 3/4 is equal to 1 6/8 as well, so that is why the first one is placed over there.

Answer:

joja90 did it all theres no point explaining anything now lol

Step-by-step explanation:

Select the most SPECIFIC name for this shape
O Rectangle
O
Square
O
Quadrilateral
O kite

Answers

Answer: Kite

Step-by-step explanation:

I’ve never seen anyone use the term kite, even though I would say that would be the most specific. To be safe go with quadrilateral

What is the sum of the first five positive integers?​

Answers

Answer:

15

Step-by-step explanation:

1+2+3+4+5 = 15

The square root of 1000 is between __________ .
A
498 and 502

B
98 and 102

C
48 and 52

D
28 and 32

Answers

The square root of 1000 is between 28 and 32. so option D is correct.

How to find the closest integer less than and greater than the square root of a number?

The function is strictly increasing function for x ≥ 0.

Assuming that all the values of x are ≥ 1, whenever there is increment in the value of 'x', the value of y increases too.

That means, we've got:

[tex]x_1 < x_2 < x_3 \implies \sqrt{x_1} < \sqrt{x_2} < \sqrt{x_3} \: \text{(such that } x_1 \leq 1[/tex]

Perfect square are those integers whose square root is an integer.

Let x-a be the closest perfect square less than x and let x+b be the closest perfect square more than x, then we get: x-a < x < x+b (no perfect square in between x-a and x+b, except possibly x itself).

Then, we get:

[tex]\sqrt{x-a} < \sqrt{x} < \sqrt{x+b}[/tex]

We need to find the square root of 1000

So, the square root of 1000 is 31.6227766017

[tex]\sqrt{1000} = 31.622[/tex]

Thus, The square root of 1000 is between 28 and 32. so option D is correct.

Learn more about square root here:

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The square root of 1000 lies between 28 and 32, so the correct answer matches option D.

To determine the square root of 1000, we need to find two consecutive integers between which this value lies. We know that:

The square root of 900 (which is 30²) is 30.

The square root of 1024 (which is 32²) is 32.

Therefore, the square root of 1000 lies between 30 and 32.

This matches option D which states between 28 and 32.

PLZ HELP ASAP Your favorite snack l, peanut butter pretzels, is available in a 15-oumch size for $4.05. The 32-ounce size sells for $8.32. Which size is the better buy

Answers

Answer:

The better one is 32- ounce hope this helps and please make me the brainliest

Step-by-step explanation:

(−9+6.8−1.2)·(−0.49−0.51)

Answers

Answer:

3.4

Step-by-step explanation:

(−9 + 6.8 − 1.2) · (−0.49 − 0.51)

(−3.4) · (−1)

3.4

Answer:

3.4

Step-by-step explanation:

(−9 + 6.8 − 1.2) · (−0.49 − 0.51)

(−3.4) · (−1)

3.4

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