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ElenaW [278]
3 years ago
11

What is the density of a material that has a mass of 2,500 grams and volume of 500 cubic centimeter, in grams per cubic centimet

er
Mathematics
1 answer:
lilavasa [31]3 years ago
6 0

Answer:

Density of the material is 5 grams per cubic centimeter.

Step-by-step explanation:

The answer is required to be given in grams per cubic centimeter.

So we should first convert the values to match the units.

Mass is given as 2500 grams so we don't need to change the units.

Volume is given in cubic centimeters. So we don't need to change the units.

Density      = [ Mass of the material / Volume of the Solvent]

                  =2500 grams / 500 cubic centimeters

                  =5 grams per cubic centimeter

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The correct option is;

Use a scale factor of 2

Step-by-step explanation:

The parameters given are;

A = (1, -6)

B = (5, -6)

C = (6, -2)

D = (0, -2)

A'' = (1.5, 4)

B'' = (3.5, 4)

C'' = (4, 2)

D'' = ( 1, 2)

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The length of side A''B'' in polygon A''B''C''D'' = √((3.5 -1.5)² + (4 - 4)²) = 2

Which gives;

AB/A''B'' = 4/2 = 2

Similarly;

The length of side BC in polygon ABCD = √((6 -5)² + (-2 - (-6))²) = √17

The length of side B''C'' in polygon A''B''C''D'' = √((4 -3.5)² + (2 - 4)²) = (√17)/2

Also we have;

The length of side CD in polygon ABCD = √((6 -0)² + (-2 - (-2))²) = 6

The length of side C''D'' in polygon A''B''C''D'' = √((4 -1)² + (2 - 2)²) = 3

For the side DA  and D''A'', we have;

The length of side DA in polygon ABCD = √((1 -0)² + (-6 - (-2))²) = √17

The length of side D''A'' in polygon A''B''C''D'' = √((1.5 -1)² + (4 - 2)²) = (√17)/2

Therefore the Polygon A B C D can be obtained from polygon A''B''C''D'' by multiplying each side of polygon A''B''C''D'' by 2

The correct option is therefore;

Use a scale factor of 2.

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