Mathematics High School

The volumes of two-spheres are in the ratio of 8:27. The radius of the smaller sphere is 30 inches. Find the radius of the larger sphere.

Answers

Answer 1

Answer:

45 in

Step-by-step explanation:

Given 2 similar figures with ratio of radii = a : b , then

ratio of volumes = a³ : b³

Here ratio of volumes = 8 : 27 , then

ratio of radii = [tex]\sqrt[3]{8}[/tex] : [tex]\sqrt[3]{27}[/tex] = 2 : 3

let r be the radius of the larger sphere then by proportion

[tex]\frac{2}{30}[/tex] = [tex]\frac{3}{r}[/tex] ( cross- multiply )

2r = 90 ( divide both sides by 2 )

r = 45

The radius of the larger sphere is 45 in

Related Questions

what is the lcm of 5,3 and 5​

Answers

Answer:

the LCM of those would be 15.

Which of the following poems have to rhyme?

Sonnet
Limerick
Haiku
Cinquain

Answers

Limerick pretty sure

Answer:

a

Step-by-step explanation:

how to find area of a square room if it's length is 5cm​

Answers

Answer:

150 cm²

Step-by-step explanation:

Since the room is square, assuming that it is a cube, the area will be 6s², where s is the side length.

Given a side length of 5cm, the area is

6(5)² = 6cm × 25cm = 150cm²

2 - x = x - 8

ayudaaa
porfavor

Answers

Answer:

x=5

Step-by-step explanation:

2 - x = x - 8

- x = x - 8 - 2 (subtract 2 from both sides)

- x = x - 10 (combine like terms)

- 2x = - 10 (subtract x from both sides)

x = 5 (divide each side by -2).

Answer:

x = 5

Step-by-step explanation:

2 - x = x - 8

- x + 2 = x - 8

- x + 2 - 2 = x - 8 - 2

- x = x - 10

- x - x = x - x - 10

- 2x = - 10

- 2x ÷ - 2 = - 10 ÷ - 2

x = 5

What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase of 10°C?

Answers

Answer: [tex]50^{\circ}F[/tex]

Step-by-step explanation:

Given

Temperature increase is [tex]10^{\circ}C[/tex]

We know, conversion scale of Celcius to Fahrenheit is  

[tex]0^{\circ}C\times \dfrac{9}{5}+32=32^{\circ}F[/tex]

for [tex]10^{\circ}C[/tex], it is

[tex]\Rightarrow 10\times \dfrac{9}{5}+32\\\\\Rightarrow 18+32=50^{\circ}F[/tex]

It is equivalent to [tex]50^{\circ}F[/tex]

Find the value of x in the following diagram.

Answers

Answer:

x = 3.5

Step-by-step explanation:

By definition, congruent chords are equidistant from the center of a circle. We are given two congruent chords and their distances(the lines perpendicular), meaning those distances must be equal. We set set up an equation to model the situation:

x + 8 = 3x + 1

8 = 2x + 1

2x = 7

x = 3.5

please help me out with this problem. will give thanks!

Answers

Answer:

It is an isosceles  triangle.

Step-by-step explanation:

sum of angles of triangle = 180

since it is isosceles two angles will be same. let it be x.

x + x + 22 = 180

2x = 180 - 22

2x = 158

x = 79°

Solve for an angle in right triangles

Answers

Answer:

26°

Step-by-step explanation:

use the inverse trig functions (in this case, sin^-1)

sin^-1(4/9)

Answer:

26.39

Step-by-step explanation:

khan

Find the value of x.l

Answers

Answer:

The value of x is 28°

Step-by-step explanation:

2x + 1 and 33° together forms 90° angle.

So, we need to find the angle at the 2x + 1.

--> 90° - 33°

= 57°

So, 2x + 1 gives 57°.

So, to find x :-

2x + 1 = 57°

2x = 57 - 1

2x = 56

x = [tex]\frac{56}{2}[/tex]

x = 28

i’ve asked so many times plz hell

Answers

Step-by-step explanation:

Yes, Junior

5/(5+9)

5/14

0.36

Yes, Senior

9/(5+9)

9/14

0.64

No, Junior

4/(4+7)

4/11

0.36

No, Senior

7/(7+4)

7/11

0.64

В.
Julie is making a banner shaped like a
parallelogram with a base of 8. feet and
a height of 6 feet. How many square feet
of material will Julie need for the banner?

Answers

Answer: 3 Aheught of 6 feet

I need help plz this is hard

Answers

Answer:

(1,3)(5,-5)(3,-1)

Step-by-step explanation:

find the value of X need help soonnn

Answers

E
12^2 + 8^2 = C^2
144 + 64 = C^2
208= C^2
Then,
208 = 2 × 2 × 2 × 2 × 13.
√208 = √( 2 × 2 × 2 × 2 × 13)
√208 = √(4 × 4 × 13)
√208 = 4√13.

find the quotient:

1 divided by 13/7

Answers

Answer:

7/13

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

we have to multiply 1 by the reciprocal of 13/7

1 x 7/13 = 7/13

becuase a number multiply by 1 gives as result the number itself

ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!!

Answers

Answer:  Slope: -1/2  

Step-by-step explanation:  To find slope take 2 points that lie on the line and use this formula to solve:   I will use (0, -2) and (2, -3) to solve

                                                                       ↑    ↑           ↑   ↑

y2 - y1                                                             x1  y1          x2  y2

-----------

x2 - x1

So, for this question, substitute the x and y values from the points above to solve.

-3 - (-2)      

----------- =  - 1/2

2 - 0

Hope this helped. :)

 

How many different meal combinations can she make in all

Answers

I think it would be D.36

PLS HELP I WILL GIVE OUT BRAINILEST!!!!!

Answers

Yes it’s proportional and 100 boxes in 4 minutes

Help me pls pls pls pls

Answers

The answer is 2 and one sixth. 2 1/6

Let A = 2x + 5 and B = x2 - 4x – 1
Find A - B
PLEASE HELP

Answers

A - B equals x-4


First, combine your like terms, 2x, 2x, and -4x, which equals to 0x or x. Then, you add the regular numbers together, +5 and -1, which equals to 4. Now that we have our numbers, our full answer will be x-4.

HELP WILL GIVE BRAINLIEST

Which is equivalent to the expression -8i^2 + 3

A. -5
B. 11
C. 3 - 8i
D. 3 + 8i

Answers

Answer:

ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Step-by-step explanation:ccccccccccccccccccccccccccccccccccccc

ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

I NEED THE ANSWER IN THE NEXT MINUTE

Answers

Step-by-step explanation:

the area of a circle: pi r^2

area of a rectangle: L x W

so youd write and solve 12 x 12 - pi (12/2)^2

Can you help me how to do it

Tell me the answer in the equation

Answers

I can’t see the picture of the question

A sphere with a radius of 6 pi.What is the surface area of the sphere 36Pi3 square units 114Pi2 square units 144Pi3 square units 576Pi4 square units

Answers

Answer:

6×36=216.I hope the answer is correct. I will be happy when I get 5 points

Answer:

Step-by-step explanation:

Rewrite the function by completing the square.
f(x) = x2 – 2x – 95

Answers

f(x) = x^2 - 2x - 95
solving by completing the square: f(x) = ( x - 1 ) ^2 - 96,

Which alternative is the NEGATIVE reciprocal of -4?*
A. - 4
B. -1/4
C. 1/4
D.4

Answers

A. It’s asking for the negative, the reciprocal, is always the same number, just sometimes positive or negative, it would be A since it’s asking for the NEGATIVE reciprocal! Hope this helps.

10
2 of 10
Find the area of a circle with radius,
r
= 5.59m.
Give your answer rounded to 2 DP.

Answers

Answer:

area = 98.12 m²

Step-by-step explanation:

area = πr² = (3.14)(5.59²) = 98.12 m²

PLEASE HELP ME IT' S FOR TODAY!!!​

Answers

Answer:

x=55

Step-by-step explanation:

125+125=250

250+2x=360

2x=110

x=55

Answer:

55

Step-by-step explanation:

There are many ways to solve this problem; however, I used the one I believe to be the fastest and easiest, but you can still use a different way.

I solved this by using the fact that the green angle (m<125) and the red angle (x) make a straight line. All straight lines equal 180 degrees; therefore, this line must equal 125+x=180. Then, you can subtract 125 from both sides of the equation. That leaves x=55.


Which expression is equivalent to (1.009 1/12) 12t?

A. 1.000712t
B. 1.007512t C.1.009012t
D 1.113512t

Answers

Answer:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Step-by-step explanation:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Type the missing number in this sequence: 90, 78, 72, 66, 60, 54​

Answers

Answer:

48

Step-by-step explanation:

minus 6 every number

Find y!!
(Secant tangent angles )
Helpppp

Answers

Answer:

Probably 95*

Step-by-step explanation:

If you look at the lines, the angle with Y looks equal to the bottom 95* angle.

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