A building in the shape of a rectangular pyramid is used to store construction stones. The building has a volume of 21000 ft3. A new building is being designed. It will also be in the shape of a rectangular pyramid, but compared to the existing building, the length of the base will be scaled by a factor of 2/3 and the width will be scaled by a factor of 5/3. The height of the new building will be scaled such that the volume of the new building will be the same as the existing building. What scale factor will be used for the height of the new building?

step-by-step explanation:

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

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step-by-step explanation:

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23