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Gnoma [55]
3 years ago
13

What if the diameter of the inner sphere is 1.8 meters. What is the volume of the inflated space?

Mathematics
1 answer:
Alona [7]3 years ago
4 0

Answer:

Volume is 3.05m³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere

Step one

The formula for the volume of a sphere is expressed as

V=4/3πr³

Step two

Given data

Diameter d = 1.8m

Radius r = d/2= 1.8/2= 0.9m

Step three

Substituting our given data we have

V= 4/3*3.142*0.9³

V= 4/3*3.142*0.729

V= 9.162/3

V=3.05m³

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A 12​-sided die is rolled. The set of equally likely outcomes is ​{1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma 8 com
LenKa [72]

Answer:

  1

Step-by-step explanation:

It is certain that the number rolled will be less than 14, so the probability is 1.

7 0
3 years ago
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Marcus is picking songs to play during a slideshow. The songs are each 3\dfrac123 2 1 ​ 3, start fraction, 1, divided by, 2, end
laila [671]

Answer:

number of songs = 9 songs

Step-by-step explanation:

According to Marcus the the song are each 3 start fraction , 1 divided by 2 end fraction minutes long. This can be expressed mathematically as 3 1/2 minutes long.

The slide show is 31, start fraction , 1 divided by, 2 end fraction minutes.  This can be expressed also as 31 1/2 minutes long.  The slide show contains the entire song.

Recall each song is 3 1/2 minutes long . The whole number fraction can be converted to improper fraction as 7/2 minutes long.

The whole slides show can be converted to improper fractions as 63/2 minutes long.

The number of song in the slideshow can be solved when we divide the total time in the slideshow by the time of each song.

number of songs = 63/2 ÷ 7/2

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7 0
4 years ago
Ten times a number increased by 150
timama [110]

Hey there!

"A number" is referred to an unknown number so we can say it is labled as

x

"Increased" means you're going up/ adding

ten = 10

150 stays the same

"Ten times a number" =

\bf{10x}

"Increased by 150" =

\bf{ + 150}

Thus your answer should look like this:

\bf{10x + 150}

Good luck on your assignment and enjoy your day!

~

\frak{loveyourselffirst }

3 0
3 years ago
How do you solve 2-3y >16 as a inequalitie​
MrRissso [65]

y<-14/3 is the answer

Step 1: Simplify both sides of the inequality.

−3y+2>16

Step 2: Subtract 2 from both sides.

−3y+2−2>16−2

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Step 3: Divide both sides by -3.

−3y

−3

>

14

−3

y<

−14

3

3 0
3 years ago
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