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LekaFEV [45]
3 years ago
8

Please help it’s due in 7 minutes

Mathematics
1 answer:
tino4ka555 [31]3 years ago
6 0

9514 1404 393

Answer:

  x = 8

  y = 4sqrt(3)

Step-by-step explanation:

Your knowledge of special triangles tells you the side ratios of a 30°-60°-90° right triangle are ...

  1 : √3 : 2 = 4 : y : x

Multiplying the reduced ratios by 4 gives ...

  4 : y : x = 4 : 4√3 : 8

That is, ...

  x = 8

  y = 4√3

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Answer:

scale factor of the smaller  prism to the larger prism is B. 21/23

Step-by-step explanation:

Given

surface areas of two similar hexagonal prisms are 882cm² and 1,058 cm²?

scale factor is ratio of sides of two similar objects

thus scale factor for given prism will be = side of smaller prism / side of larger prism

in general rule

If shape of solid has scale factor of k

scale factor of area = k²

scale factor of volume = k³

_____________________________

Given in the problem area of two prism is given

we know area = side^2

scale factor of area = k²

k^2 = area of smaller prism / area of larger prism

k^2 = 882 / 1058 = 441/529\\k = \sqrt{ 441/529} \\k = 21/23

Thus, correct option is B 21/23.

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