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Dennis_Churaev [7]
2 years ago
8

The height of two plants is in the ratio 7 : 9. The height if the taller plant is 26cm more than the height of the shorter plant

. [3]
a) What is the height of taller plant?
b) What is the height of shorter plant?
c) What is their total length?
Mathematics
1 answer:
vodomira [7]2 years ago
3 0

Answer:

  • 117 cm; 91 cm; 208 cm

Step-by-step explanation:

According to the given ratio the height of the plants is 7x and 9x.

<u>The difference of heights is 26 cm:</u>

  • 9x - 7x = 26
  • 2x = 26
  • x = 13

a) <u>The taller plant is:</u>

  • 13*9 = 117 cm

b) <u>Shorter plant is:</u>

  • 7*13 = 91 cm

c) <u>Their total height is:</u>

  • 117 + 91 = 208 cm
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Regarding dilation, it is found that:

1. The scale factor is of 6.45

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A dilation is one type of transformation that is applied to images, in which the side lengths are multiplied by a constant called scale factor, changing the side lengths of the image.

In item a, the initial length was of 11 and the final length is of 71, hence the multiplier, which is the scale factor, is given as follows:

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In item b, the initial length was of 16 and the final length was of 23, hence the scale factor is given as follows:

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For item 3, the multiplier is a number that is less than 1, meaning that the image is smaller than the pre-image.

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