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Arturiano [62]
3 years ago
5

A sphere and a cube have equal surface areas. The length of one edge of the cube is 1.11 meters. What is the radius of the spher

e?
Mathematics
1 answer:
Nady [450]3 years ago
3 0

Answer:

  0.767 m

Step-by-step explanation:

The area of a cube of edge length s is given by ...

  A = 6s^2

The area of a sphere of radius r is given by ...

  A = 4πr^2

When these two are equal, we have ...

  6s^2 = 4πr^2

  r^2 = 6s^2/(4π)

  r = s·√(3/(2π)) ≈ s·0.690988

The radius of the sphere is about ...

  r ≈ 0.690899×1.11 m

  r ≈ 0.767 m . . . . approximate sphere radius

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Answer:

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4 0
2 years ago
If you simplify 4(3x + 8) - 3 . What will your answer be ?
scoundrel [369]
1.) Distribute 4 to (3x) & (8): 4*3x=12x, 4*8=32
2.) Rewrite the expression: 12x+32-3
3.) Combine like terms: 32-3=29
4.) Rewrite the final expression: 12x+29
Final Answer: <span>12x+29
Hope this helps!!
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8 0
3 years ago
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Ali picked three numbers out of a hat. Use the information in the box to work out what numbers he picked. The lowest number was
IgorC [24]

Answer:

The numbers he picked are 11, 17 and 24

Step-by-step explanation:

To solve this, we will work with the information we are given, interpreting it properly.

From the information given , we can already decode that the first of the three numbers is 11. We can write that number down.

The next piece of information we are given is that the range is 13.

The range of a data set is the difference between the highest and lowest numbers in the data set.

Let us say that our highest number is x

Range =x-11

x= range + 11\\x=13+11=24

Now, we know that the highest number of the data set is 24

Finally, from the information given, we can see that the median number is 17. This is the middle number of the data set. we can simply write that down since the number of figures in our data set is an odd number.

Hence the numbers picked are

11, 17 and 24 arranging them in an ascending order

7 0
2 years ago
What could explain what happened when the time was equal to 120 minutes
tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

Alright, lets get started.

Lets split the given graph in three parts.

First part: 0 to 30 minutes

We can see between this period, 0 to 30 minutes, the distance from home keeps increasing. It means from 0 to 30 minutes, Eli is moving towards the library.

Second part: 30 to 120 minutes

between 30 to 120 minutes,the distance from home does not changes. It means during this period, Eli is at the library.

Third part : 120 minutes to 135 minutes

Between 120 to 135 minutes, the distance from home is decreasing.

It means Eli is returning home in that period.

It means, at 120minute, Eli started her bicycle , home from the library. Hence option (b)     :    Answer

Hope it will help :)

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3 years ago
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