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dalvyx [7]
3 years ago
7

The length of each edge of a cube is decreased by 40 percent By what percent does the volume of the cube decrease? Express your

answer to the nearest tenth.
Mathematics
2 answers:
lora16 [44]3 years ago
5 0

Answer:

78% (to the nearest tenth)

Step-by-step explanation:

Volume of a cube = (length )³

Let the length of the cube = y

Original volume = y³

if the length is decreased by 40%, then new length = 1- (40% of y)

                                                                                     = 1-0.4y

                                                                                     =  0.6%

New volume (after decreasing the length) = (0.6y)³

                                                                      =  0.216‬‬y³

% Volume decrease = (Original volume - New volume)/Original Volume x 100%

                                 =  (y³ - 0.216‬‬y³)/ y³  x 100%

                                 = 0.784y³/y³  x 100%

                                 =78.4%

                                ≈78%

Bogdan [553]3 years ago
4 0

Answer:

  78.4%

Step-by-step explanation:

After the decrease, the edge length is 0.6 of what it was. Then the volume is 0.6^3 = 0.216 of what it was. That's a decrease of ...

  1 - 0.216 = 0.784 = 78.4%

The volume of the cube has decreased 78.4%.

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Answer:

The answer is 6

Step-by-step explanation:

A=½(b1 + b2) h

we substitute

Area=75

the two bases are 10 and 15

75=½(10+15) h

75=½(25)h

75=(1*25/2)h

75= 25h/2

75/1= 25h/2

25h*1= 75*2

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Answer:

We have a + b as;

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Step-by-step explanation:

Here, we want go get the value of a and b

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Step-by-step explanation:

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to find the common factor you look at both your list of numbers and find one that's the same, sometimes it takes a long list of numbers to find the common factor, but you will run into one.

So by looking at our list we see that 4 and 12 share the common factor of 12. but since 8/12 already has a denominator of 12, we are going to leave it alone.

now think about what you would multiply 4 by, to get to 12. The answer is

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to make the numerator correct, you multiply it by the same number you did 4, so since your faction is 2/4 you should do 2 x 3 = 6

now you have your answer,

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