Two rectangular prisms are similar. The ratio of the areas of the bases is 121:49. What is the ratio of the volumes of the similar solids?

Answers

Answer 1

Answer:

The ratio of the volumes of the similar solids is 1331:343.

Step-by-step explanation:

Ratios

Given the ratio of two lengths is a:b. Given a two-dimensional shape is similar to another shape, the ratio of their areas is [tex](a/b)^2[/tex], and the ratio of their volumes is [tex](a/b)^3[/tex].

We know the ratio of the areas of the bases of two similar rectangular prisms is 121:49. Thus, the ratio of its dimensions is:

[tex](a/b)^2=(121/49)[/tex]

Taking the square root:

[tex]a/b = \sqrt{121/49}=11/7[/tex]

Thus, the ratio of the volumes is:

[tex](a/b)^3=(11/7)^3=1331/343[/tex]

The ratio of the volumes of the similar solids is 1331:343.


Related Questions

HELP ASAP!!! Which inequality is true?

Answers

Answer: D.

Step-by-step explanation: 3x3 is 9, and pi is greater than 3. approx. 3.14 (which is pi) x 3 is greater than 9.

Sub to bionic pleasssssse

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Alright I got you I’ll sub

Answer:

BRO HE IS THE BEST SO I SUBBED

If f(x) = 5x - 12, what is f(2)?
A. 10
B. 2
C.-22
D.-2

Answers

Answer-2:

Step-by-step explanation:

F(x)= 5x-12

F(2)= 5(2)-12

F(2)= 10-12= -2

Please answer if you actually know.

Answers

Answer:

A is correct bro because W(work done)=F(force)*S(distance)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

State the Angle Relationship & Find the measure of the indicated angle that makes lines u and v parallel.

Answers

Answer:

the indicated angle should be 121°

Step-by-step explanation:

If 2 lines are parallel to each other & a transversal intersects both of them , the corresponding angles on a same side are equal.

If the indicated angle will be equal to the given angle , they will be known as corresponding angles only when v || u.

So the indicated angle is 121°

Please help with this()

Answers

Answer:

396

Step-by-step explanation:

how to Evaluate: (6 + 2 )^3 - 12

Answers

Answer: 500

Step-by-step explanation:

(8)^3 - 12

512-12 = 500

Please answer these 5 questions and thank you!

Answers

Answer:

1. its either C or D I can’t rem which one it is

2. D

3. A

4. A

5. B

Step-by-step explanation:

What is the equation of this line?


y=−2x−2

y=12x−2

y=−12x−2

y=2x−2

Answers

Answer:

A y=-2x-2 I think so sorry if wrong

what percentage is 4 month of a year​

Answers

Answer:

33.33%

Step-by-step explanation:

Year has 12 months.

4 ÷ 12 = 0.3333

0.3333 × 100% = 33.33%

isolate the y 3x+y=5

Answers

Y = -3x+5
That’s the equation

y=2x-1 in standard form

Answers

Answer: 2x - y = 1 this should be it

The equation in standard form, y = 2x -1

What is the equation of a line?

The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

Given an equation, y = 2x-1

The standard form is given as - y = mx+c

The given equation is already in standard form, where, m = 2, c = -1

Hence, The equation in standard form, y = 2x -1

For more references on equations of a line, click;

https://brainly.com/question/21511618

#SPJ2

The product of 485 x 35 is 16975, what is the product of 485 x 3.5? How do you know?

Answers

Answer:

1697.5

Step-by-step explanation:

bY multiplying

Answer:

1697.5

Step-by-step explanation:

you just add a dot next the the 5 and remove remove the last dight

Translate and solve: m decreased by 12 is equal to negative 3. *

Answers

m - 12 = -3

You would be able to find what m is by finding a number that can subtract 12 and get -3.

Hope this helps and have a nice day!!!

Answer:

Step-by-step explanation:

m-12= -3  add 12 to both sides

m=9

PLEASE HELP<3

ALGEBRA

When g(x) is divided by X+4, the remainder is 0. Find all the roots for g(x)=x^4+3X^3-6X^2-6x+8 ​

Answers

Answer:

Step-by-step explanation:

(x^4+3x^3-6x^2-6x+8)  ÷(x+4)

x^3-x^2-2x+2

A point goes through the origin and has a slope of 3. What is the equation of the line?

Answers

Answer:

The correct answer is c Y=3x

Step-by-step explanation:

Hope this helps!

I need help with this question ASAP

Answers

x+x+10+2(2x+10) = 180
2x + 10 + 4x+20 = 180
6x + 30 = 180
6x = 150
X = 25
Plug in 25 to find angle

Solve [0, 2pi)
3 Cos(2x) = 5 Sin(x) - 1

Answers

Given :

Solve [0, 2π)

3cos(2x) = 5sin(x) - 1

To Find :

The value of x in range [0,2π).

Solution :

We know, cos(2x) = 1 - sin²x .

3( 1 - 2sin²x ) = 5sinx - 1

3 - 6sin²x = 5sinx - 1

6sin²x + 5sinx - 4 = 0

6sin²x + 8sinx - 3sinx - 4 = 0

2sinx( 3sinx + 4 ) - 1( 3sinx + 4) = 0

sin x = 1/2  and sin x = -4/3 .

Since, sin x ≤ 1.

So, sin x = 1/2 .

x = π/6 .

Therefore, value of x is π/6.

Hence, this is the required solution.

Write this statement as a conditional statement in the form “if p, then q.”

Three points are all located on the same line. So, the points are collinear points.

Answers

Answer:

if three points are all located on the same line, then, the points are collier points.

Step-by-step explanation:

the if or p statement is called the hypothesis.

the then or q statement is called the conclusion.

A crane has a cable with a breaking strain of 6400kg measured to 2 significant figures it is used to lift crates which weigh 90kg measured to the nearest 10kg what is the greatest number of crates that can safely be lifted at one time without breaking the cable some working must be shown

Answers

Answer:

100/2=50

lower bound of 6400kg = 6350kg

10/2=5  

upper bound of 90kg = 95kg

6350kg/95kg=66kg

Step-by-step explanation:

this is right

Andre rode his bike at a constant speed. He rode 1 mile in 5 minutes.
Which of these equations represents the amount of time t (in minutes) that it takes him to ride a distance of d miles?
A - T = 5d
B - T = 1/5 d
C - T = d+4
D - T = d-4

Answers

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that Andre rode his bike at a constant speed.

Number of miles driven = 1 mile

Time taken to drive 1 mile = 5 minutes.

Then speed can be calculated using formula:

Speed = Distance / Time

Now we have to find the amount of time t (in minutes) taken by him to right distance d so we can again use same formula.

Speed = Distance / Time

or

Time = Distance / Speed

Plug the given values

t = 5d

Hence find answer will be equation t=5d.

What is the line of symmetry?

Answers

Answer: x = 18

Step-by-step explanation:

The line of symmetry is x = 18 because it’s the line that the vertex resides on

Complete the problem below:
2500+ 50123=?

Answers

Answer:

2500+ 50123=52623

Step-by-step explanation:

A company sells shares in their stock for a certain price. On one sunday the price of the company's stock was $37.84 per share. This price of the stocks per share changes each day. By how much dos the price of the stock per share change from Sunday until the end of Friday? What is the price of the company's stock per share at the end of the day on Thursday?

Answers

Hi, you've asked an incomplete question. However, I assumed that the price of the stock at the end of Thursday is $43, Friday is $46.

Answer:

about +21.56% (or $8.16) by Friday

$43

Step-by-step explanation:

What we simply need to do is to note the percentage difference in price between Sunday and Friday. By subtracting the difference price we get,

$46- $37.84 = $8.16 To percentage

[tex]\frac{8.16}{37.84} *100=[/tex] 21.56%.

It is obvious from the data presented that the price of the company's stock per share at the end of the day on Thursday is $43.

Guys can you please help me this is my last assignment before thanksgiving break and my cousin who I haven’t seen in 3 years is coming and I don’t want to spend the time I have doing homework

Answers

Answer:

5. $1417.50, 6. $18.13, 7. $.78 (assuming the interest rate is annual), 8. .0625%, 9a. 5%, b. No because If he invests $4200 at 6% for 3 years he will have earned $756, so $4200+$756= $4956

Step-by-step explanation:

Have fun with your cousin

Complete the following statement. 8 + ( ) = 6

Answers

Answer:

8+(-2)=6

Step-by-step explanation:

if h answer this your a legend​

Answers

260 bcuz you in volume you times all of the numbers I’m not sure though

Answer:

260

Step-by-step explanation:

V= l x w x h

V=13 x 4 x 5

V=260

7. What are the x-intercepts of the graph of y = (3x +8)(5x - 3)(x - 1)?

Answers

Answer:

y = 15x^3 + 16x^2 - 55x + 24

Step-by-step explanation:

y = (3x +8)(5x - 3)(x - 1)

y = (15x^2 - 9x + 40x -24) * (x - 1)

y = (15x^2 + 31x - 24) * (x-1)

y = 15x^3 - 15x^2 + 31x^2 - 31x - 24x + 24

The x-intercepts of a graph are the points where the graph crosses the x-axis.

The x-intercepts are: [tex]\mathbf{x = ,-\frac83, \frac 35\ and\ 1}[/tex]

The function is given as:

[tex]\mathbf{y = (3x + 8)(5x - 3)(x - 1)}[/tex]

First, we plot the graph of [tex]\mathbf{y = (3x + 8)(5x - 3)(x - 1)}[/tex]

See attachment for the graph

Next, write out the x-values when the graph crosses the x-axis.

From the graph, we have:

[tex]\mathbf{x = -\frac 83}[/tex]

[tex]\mathbf{x = \frac 35}[/tex]

[tex]\mathbf{x = 1}[/tex]

Hence, the x-intercepts are: [tex]\mathbf{x = ,-\frac83, \frac 35\ and\ 1}[/tex]

Read more about x intercepts at:

https://brainly.com/question/14180189

Dawson rakes leaves in his neighborhood. The equation y = 10x represents the amount of money he earns. What is the constant of proportionalty?

Answers

Answer:

10

Step-by-step explanation:

He makes $10 for each job he's done

ANSWER QUESTION BELLOW!!⇅!!⇅

Answers

Answer:

Option 3. step 1.

Step-by-step explanation:

Numuro 3 is the answer
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