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AveGali [126]
4 years ago
11

On a sunny day, a 4-foot red kangaroo casts a shadow that is 9 feet long. The shadow of a nearby eucalyptus tree is 36 feet long

. Find the height of the tree
Mathematics
1 answer:
erik [133]4 years ago
4 0
The height of the kangaroo is 4 feet and it's shadow is 9 feet. The relationship between the kangaroo and its shadow is 4/9. This has to be equal to that of the eucalyptus tree. The relationship of the eucalyptus tree is x/36.
4/9=x/36

You can either solve for x by realizing that in order to get from 9 to 36, you multiply by 4 and therefore have to multiply 4 by 4 to get x.
Or you can solve for x by cross multiplication. 36(4)=144. You then divide 144 by 9.

Either way, x = 16 and the height of the tree is 16 feet.
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The sequence is 25, 20, 15, 10, 5.

To find:

The ninth term of the given sequence.

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25, 20, 15, 10, 5

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Here,

First term (a) = 25

Common difference (d) = 20-25

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a_n=a+(n-1)d

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