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olya-2409 [2.1K]
3 years ago
13

10 POINTS!.A sculptor is planning to make two triangular prisms out of steel. The sculptor will use △ABC for the bases of one pr

ism and △DEF for the bases of the other prism. Is △ABC similar to △DEF? Explain.
Suppose the sculptor makes both prisms with the same height. Find the volume of each prism. Which prism will have a greater volume? Show your work.

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
6 0

Answer:

if they are similar then their sides are proportional and the following would be true:  

40/30 = 48/36  

reduce both sides:  

4/3 = 4/3  

so, yes, they are similar.

Step-by-step explanation:

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Mason has a collection of .49 stamps, .20 stamps and .3 stamps worth 23.55. He has 56 total .49 and .20 stamps and the number of
Nezavi [6.7K]

Answer: Mason has 40 forty-nine cent stamps, 16 twenty cent stamps and 25 three cent stamps

Step-by-step explanation:

Let x represent the number of 49 cent stamps that Mason has.

Let y represent the number of 20 cent stamps that Mason has.

Let z represent the number of 3 cent stamps that Mason has.

Mason has a collection of 49 cent stamps, 20 cent stamps, and 3 cent stamps worth $23.55. This means that

0.49x + 0.2y + 0.03z = 23.55 - - - - -1

He had 56 total 49 cent and 20 cent stamps. This means that

x + y = 56

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z = y + 9

Substituting x = 56 - y and z = y + 9 into equation 1, it becomes

0.49(56 - y) + 0.2y + 0.03(y + 9) = 23.55

27.44 - 0.49y + 0.2y + 0.03y + 0.27 = 23.55

27.44 + 0.27 - 0.49y + 0.2y + 0.03y = 23.44

27.71 - 0.26y = 23.55

- 0.26y = 23.55 - 27.71

- 0.26y = - 4.16

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z = 25

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Step-by-step explanation:

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