PLEASE HELP! What is the ratio of the volumes of two spheres, if the ratio of their radii is 13: 9

Answers

Answer 1

Answer:

[tex] V_1 : V_2= 2197 : 729[/tex]

Step-by-step explanation:

Let the volumes of both the spheres be [tex] V_1, \:V_2[/tex] and their radii be [tex] r_1, \:r_2[/tex] respectively.

[tex] \huge r_1 : r_2= 13 : 9[/tex] (given)

[tex] \implies\huge \frac{r_1}{r_2}= \frac{13}{9}.....(1)[/tex]

[tex] \huge \frac{V_1}{V_2}=\frac{\cancel {\frac{4}{3} \pi} r_1^3}{\cancel {\frac{4}{3} \pi} r_2^3}[/tex]

[tex] \huge \frac{V_1}{V_2}=\frac{ r_1^3}{r_2^3}[/tex]

[tex]\huge \frac{V_1}{V_2}=\bigg(\frac{ r_1}{r_2}\bigg) ^3..... (2)[/tex]

From equations (1) & (2), we have:

[tex]\huge \frac{V_1}{V_2}=\bigg(\frac{13}{9}\bigg) ^3[/tex]

[tex] \huge \frac{V_1}{V_2}=\frac{2197}{729}[/tex]

[tex] \huge \therefore V_1 : V_2= 2197 : 729[/tex]

Thus, the ratio of the volumes of two spheres would be 2197 : 729.

Answer 2

Answer:

2197:729

hope it helps

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Related Questions


Find the sum of (6x2 - 9x + 7) and (- 8x2 + 10x - 14)

Answers

Answer:

-2x² + x - 7

Step-by-step explanation:

(6x² - 9x + 7) + (-8x² + 10x - 14)

6x² - 9x + 7 - 8x² + 10x - 14

6x² - 8x² - 9x + 10x + 7 - 14

-2x² + x - 7

Si se tiene una tabla de 2.0 m de largo y de ancho 0.3 m, el área de toda la tabla es?

Answers

Answer:

solo multiplica los dos numeros 2x3= 6.

Answer:

aeaa axxd

Step-by-step explanation:

solve the equation by the elimination method..!!
1. 3x+ 4y= 10 & 2x- 2y = 2​

Please don't post invalid answer please..!!

Answers

The value of the x and y by the elimination method will be 2 and 1.

What exactly is a linear system?

It is an equation system in which the maximum power of the variable is always 1. A figure with only one dimension and no breadth. It is made up of infinite dots placed side by side.

Given linear equation;

3x+ 4y= 10

2x- 2y = 2​

The following operations are done;

(3x+ 4y= 10) ×2

(2x- 2y = 2)​ × 3

6x+8y=20

6x-6y=6

Subtract equation 1 from 2 to eliminate x;

6x+8y-6x+6y=20-6

14y=14

y=1

The value of x is obtained by putting the value in equation 1;

3x+4(1)=10

3x=6

x=2

Hence, the value of the x and y by the elimination method will be 2 and 1.

To learn more about the linear system, refer to the link https://brainly.com/question/20379472.

#SPJ1

Hi, can someone please help, and possibly explain the answer please.

Answers

Answer:

[tex]x=\frac{-(-2)\±\sqrt{(-2)^2-4(3)(0)} }{2(3)}[/tex]

Step-by-step explanation:

Quadratic formula: [tex]x=\frac{-b\±\sqrt{b^2-4ac} }{2a}[/tex] when the equation is [tex]0=ax^2+bx+c[/tex]

The given equation is [tex]1=-2x+3x^2+1[/tex]. Let's first arrange this so its format looks like [tex]y=ax^2+bx+c[/tex]:

[tex]1=-2x+3x^2+1[/tex]

[tex]1=3x^2-2x+1[/tex]

Subtract 1 from both sides of the equation

[tex]1-1=3x^2-2x+1-1\\0=3x^2-2x+0[/tex]

Now, we can easily identify 3 as a, -2 as b and 0 as c. Plug these into the quadratic formula:

[tex]x=\frac{-b\±\sqrt{b^2-4ac} }{2a}\\x=\frac{-(-2)\±\sqrt{(-2)^2-4(3)(0)} }{2(3)}[/tex]

I hope this helps!  

2x + y = 2

x – 2y = -4

what is x and y?

Answers

Answer:

x = 0

y = 2

Step-by-step explanation:

2x + y = 2 (Multiply by 2)

x – 2y = -4

4x + 2y = 4

x – 2y = -4

5x = 0

x = 0

2x + y = 2

2(0) + y = 2

0 + y = 2

y = 2

Does anyone know how to do 3 & 4

Answers

Answer:

2.True

3. HGK

4. 17°

hope it helps

help with segment relationships in circles...picture attatched.

Answers

Answer:

x=23

Step-by-step explanation:

Hello There!

The relationship between chords can be found below in the image.

Pretty much the product of the segments in the same chord is equal to the product of the other segments in the other chord if that makes sense

So more specifically for this problem

10 * 18 = 9(x-3)

once we are able to create a formula/equation this problem is a lot easier to understand

Now we use basic algebra to solve for x

10 * 18 = 9(x-3)

step 1 combine like terms

10 * 18 = 180

now we have

180 = 9(x-3)

step 2 distribute the 9 to what's in the parenthesis (x and -3)

9*x=9x

9*-3=-27

now we have

180 = 9x - 27

step 3 add 27 to each side

-27 + 27 cancels out

180 + 27 = 207

now we have

207 = 9x

step 4 divide each side by 9

207/9 = 23

9x/9=x

we're left with x = 23

Now we want to check our answer

is 10 * 18 = 9*(23-3) then our answer is correct

10*18=180

23-3=20

20*9=180

180=180 is true hence the answer is 23

Find the slope: Will give brainliest if it is correct

Answers

Answer:

-3/5 is the slope of the line.

Can someone plz explain how to do this

Answers

Answer:

-2

Step-by-step explanation:

First, you need to find the equation.

f(x) = -3x + b

Now we need to find the y-intercept.

f(x) = -3x + b

f(-9) = -3(1) + b

-9 = -3 + b

-6 = b

f(x) = -3x - 6

The zero of f means that f(x) = 0

f(0) = -3x - 6

f(6) = -3x

x = -2

Sebastian is going to deposit $790 in an account that earns 6.8% interest compounded annually his wife Yolanda will deposit $815 in an account that earns 7.2% simple interest each year they deposit the money on the same day and no additional deposits or withdrawals for the accounts which statement is true concerning Sebastian's in Yolanda's account balances after 3 years

Answers

Answer:

Step-by-step explanation:

Complete question

A) Sebastian's account will have about $28.67 less than Yolanda's account. B) Sebastian's account will have about $9.78 less than Yolanda's account. C) Yolanda's account will have about $28.67 less than Sebastian's account. D) Yolanda's account will have about $9.78 less than Sebastian's account.

For Sebastian

Amount = [tex]P (1 + \frac{r}{n})^{nt}[/tex]

Substituting the given values we get

A =

[tex]790 (1 + \frac{6.8}{100*1})^{3*1} \\962.367[/tex]

For Yolanda

Amount  [tex]= P(1+rt)[/tex]

[tex]A = 815 (1 + \frac{7.2}{100}*3)\\A = 991.04[/tex]

Yolanda's account will have about $28.67 less than Sebastian's account

Option C is correct

PLSSS HELP IMMEDIATELY!!!!! i’ll give brainiest, i’m not giving brainiest if u leave a link tho. (pls check whole picture!!)

Answers

Answer:

(4,2)

Step-by-step explanation:

Answer:

(4, 2)

Step-by-step explanation:

p(a) = 4a +4
What is the coefficient of a?

Answers

[tex] \huge \red {Question}[/tex]

p(a) = 4a +4

What is the coefficient of a?

[tex] \huge \red{Answer}[/tex]

4 is the coefficient of a .

Step-by-step explanation:

4 is the coefficient of a .

pls pls help. i am begging u ill give brainliest

Answers

The answer is 4/18

——

Answer:

4/18

Step-by-step explanation:

A local pet groomer accepts walk-in customers. From experience, the groomer has determined that the probability that a walk-in customer will get a full-service grooming, which includes a bath and nail trimming, is 0.71. The probability that a walk-in customer will get a haircut for their pet is 0.42. The probability that customers who get the full-service grooming will also ask for a haircut is 0.28. What is the probability that a walk-in customer will ask for both a full-service grooming and a haircut?

0.12
0.20
0.28
0.30

Answers

Answer:

0.28

Step-by-step explanation:

Answer:

0.20

Step-by-step explanation:

i got it right on edge 2022

(please help)!!!!!!!!!!!!!!

Answers

Answer

use trigonometry to find both the answers.    

i have done the working out in the picture hope it helps...

Step-by-step explanation:

6 STUP1D QUESTIONS FOR 100 POINTS

1. Why do British people never sound British when they sing?

2. Why do they call it 'head over heels in love if our head is always over our heels?

3. Can a hearse driver drive a corpse in the carpool lane?

4. Why is the name of the phobia for the fear of long words Hippopotomonstrosesquippedaliophobia?

5. If someone can't see, they're blind and if someone can't hear, they're deaf, so what do you call people who can't smell?

6. How do they get those boats in those glass bottles?

Answers

How do they get the cream inside of twinkies

Estimate the area of tje fan if m

Answers

Answer:

Area of the given fan is 763.4 cm²

Step-by-step explanation:

Area of a sector in a circle = [tex]\frac{\theta}{360}(\pi r^2)[/tex]

Here, angle θ = Central angle subtended by the arc

r = Radius of the circle

Since, fan is in the form of a sector of a circle with radius = 27 cm

Measure of the central angle subtended by the arc FN = ∠FAN = 120°

Area of the fan = [tex]\frac{120}{360}(\pi )(27)^2[/tex]

                         = [tex]\frac{729\pi }{3}[/tex]

                         = 243π

                         = 763.407

                         ≈ 763.4 cm²

Therefore, area of the given fan is 763.4 cm²

I put 16 and it said that it was Wong

Answers

Answer: 97/100

Step-by-step explanation:

Answer:

The answer is 0.97 or 97/100

Step-by-step explanation:

9/10 = 0.9

7/100 = 0.07

0.9 + 0.07 = 0.97

Hope this helps!

Please mark as brainliest!

Which of the following expressions are equivalent to -9.7. -0.8. -7.8. -3.8? Choose all answers that apply:
A. 9.7.-0.8.-7.8.-3.8.
B. -9.7.0.8. 7.8.-3.8
C. None of the above​

Answers

Answer:

A.

it’s a because i just got it right on the test

Answer:

its A cause i got it right

Step-by-step explanation:

for the boys

Please answer correctly! I will mark you as Brainliest

Answers

Answer:

Choice D

Step-by-step explanation:

Choice D, 3072ft^2 is the correct answer.

Here's how! The length AND width are both 24, so we know that 24 * 24 is our start. Then the height of the pyramid is 16, which now makes our equation 24 * 24 * 16. When finding the volume of a pyramid, you must divide by 3, so now the answer is (24 * 24 * 16) / 3. Making the answer 3072ft^2.

Hope this helped!

Answer:

3072

Step-by-step explanation:

volume =(1/3) hight ×width×length

v=(1/3) × 16 × 24 × 24

v=3072

Please help me on this question if you would want brianleist!! Tank yah!! ^^

Answers

Answer:

Origin

Step-by-step explanation:

Origin is the starting points (0,0)

Hope this helped :)

YO PLEASE HELP, AREA OF A TRAPEZOID

Answers

the answer is 54!!!!!

Find the Errors: A student multiplied the two polynomials below.

(a) Clearly state the two errors that the student made in their multiplication table. (4 points)

(b) State what the correct answer should be. (2 points)

Answers

It’s messed up on the +2x and -8x^2. It should be +2x^2 and +8x^2. The answer should be -4x^3+10x^2-7x+6

Which number line shows - graphed?

Answers

Answer:

The second one down is the answer

Step-by-step explanation:

help me pls & thank you:)

Answers

Answer:the answer is 53 degrees

160 overall degrees 3 numerals divide 160 by 3 and it's 53.33 but it's degrees so round to the nearest tenth so it stays as 53 degrees

Step-by-step explanation:

BRAINLIST. BRAINLIST. BRAINLIST. PLEASE HELP.

Answers

Answer:

1=140  2=9  3=19

Step-by-step explanation:

Answer:

1=140
2=9
3=19

Step-by-step explanation:

Which line has a y-intercept of -2?
A) L
B) P
C) T
D) Both L and T

Answers

Answer:

Answer is D

Step-by-step explanation:

hope that helps

The stock of Company A gained 6% today to $94.87. What was the opening price of the stock in the beginning of the day?

Answers

Answer:

Step-by-step explanation:

I don’t know

We want to find the opening price of the stock in the beginning of the day. We will find that the solution is $89.50.

Working with percentages.

Let's say that the opening price of the stock was X.

Then, it is increased 6% to get to $94.87

This means that the 106% of X is equal to $94.87, then we can solve:

1.06*X = $94.87

Where we wrote 106% in decimal form, now we can just solve this for X:

X  = $94.87/1.06 = $89.50

This means that the price of the stock in the beginning of the day was $89.50

If you want to learn more about percentages, you can read:

https://brainly.com/question/843074

help, i will give brainliest

Answers

Answer:

The answer is J

Step-by-step explanation:

If you start from Quinn's location (8,7), and move south 3 units, you get to (8,4). Then you move to the west 4 units and that gets you to (4,4).

hope this helped! :)

what is the fraction for 0.875?

Answers

Answer:

7/8

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

simplify 875/1000

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