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lyudmila [28]
4 years ago
12

A surface area of a cube is 96cm. What is the length of one side? What is its volume

Mathematics
2 answers:
Ganezh [65]4 years ago
8 0
You are given the surface area of the cube which is 96cm2. You are asked to find the length of one side and its volume. Note that the surface area of the cube is equal to 6 times the square root of s (the side of the cube) and the volume is the cube root of s. So,  

SA = 6*s^2
96cm2 = 6*s^2
s^2 = 16cm
<u>s = 4cm, this is the length of one side.</u>  

V = s^3
V = (4)^3
<u>V = 64cm3, this is the volume of the cube.</u>
mr_godi [17]4 years ago
3 0
12, 96/8 equals 12, so therefore it is 12 cm cubed
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Here is a number machine.
Vlad [161]

Answer:

The output is 3n + 6

Step-by-step explanation:

You have to apply all of the steps in order:

Since we cannot simplify n+2, we have to write it as (n+2). Next, since we do the next step, multiply by 3. This would be 3(n+2), and if you apply the distributive property (multiply), you would get 3 * n + 2 * 3, or 3n + 6.

Answer: 3n + 6

4 0
3 years ago
Find three consecutive odd intergers whose sum is 219
Agata [3.3K]

Answer:

1st odd = 71

2nd odd  = 73

3rd odd  = 75

Step-by-step explanation:

As numbers are consecutive odd so let:

1st odd = x

2nd odd = x + 2

3rd odd = x + 4

According to given condition:

x + x +2 + x + 4 = 219

Adding like terms

3x + 6 = 219

Subtracting 6 from both sides

3x + 6 -6 = 219-6

3x = 213

Dividing both sides by 3

x = 213/3

x = 71

So the numbers will be:

1st odd = x = 71

2nd odd = x + 2 = 71 + 2 = 73

3rd odd = x + 4 = 71 + 4 = 75

Proof:

1st odd + 2nd odd + 3rd odd = 219

71 + 73 + 75 = 219

219 = 219

Hence proved!

I hope it will help you!

8 0
4 years ago
A bag contains 2 red marbles, 3 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the probabili
Cerrena [4.2K]

Hello there!

There are 10 marbles and 2 of them are red. First pick is 2/10 to get a red and then if you pick a red marble then you have a 1/9 chance to pick a red.

So, 2/10 x 1/9 = 2/90

Simplify 2/90 to get 1/45.

Convert 1/45 to a decimal.

1/45 : 0.022222

Therefore, the probability to the nearest 10th of a percent that both marbles drawn will be red is 0.02%

8 0
3 years ago
Justify each step in solving the equation 4x = 7(x-3) by writing a reason for each statement
abruzzese [7]
Start with parenthesis so that will be 7x -21so then  you will get 4x = 7x -21 then you will subtract 7x and 4x and you will get -3x = -21 and your answer is 7 because both numbers are a negative and that will equal a positive.
8 0
3 years ago
Solve for x, find the measure of all angles hurryyyyyy! ​
muminat

Answer:

Step-by-step explanation:

Well the first fact is that you can solve H and J with 1 equation. Two remote (unconnected to) one of the exterior angles when summed, equals the unconnected exterior angle.

H + j are not connected to the exterior angle at I.

Put more directly

2x + 3x = 150        Combine

5x = 150                Divide by 5

x = 150/5

x = 30

So H = 2 * 30 = 60

and J = 3*30  = 90

All triangles have interior angles that add up to 180

We have already accounted for 150.

JIH + 150 = 180  Subtract 150

jIH = 180 - 150 = 30

Summary

x = 30

JIH = 30                      

H = 60

J = 90

7 0
3 years ago
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