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Andre45 [30]
3 years ago
13

The tree in your friend's yard casts a shadow that is 27 feet long. Your friend is 5 feet tall and casts a shadow that is 4.5 fe

et long. What is the height of the tree?
Mathematics
1 answer:
GarryVolchara [31]3 years ago
6 0

Answer:

The height of the tree is 30 feet

Step-by-step explanation:

Let

h ----> the height of the tree

we know that

The tree casts a shadow that is 27 feet long

Your friend is 5 feet tall and casts a shadow that is 4.5 feet long

so

using proportion

Find out the height of the tree

\frac{h}{27}=\frac{5}{4.5}\\\\h=27(5)/4.5\\\\h=30\ ft

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Step-by-step explanation:

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Find area of original rectangle

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A=1.6×5=8cm²

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Find the reciprocal of the expression. 10b/2b + 8
Alexus [3.1K]
Comment
I think you need brackets to clarify what you mean. I think it should be written as 
10b/(2b + 8) 

If that is the case the reciprocal is

(2b + 8)/10b You just turn everything up side down. There are technical ways of doing this, but the easiest way is just to do what I just did. 

Put the numerator in  the denominator,
Put the denominator in the numerator.

You could simplify this a bit.
2b/10b + 8/10b
which reduces further.

1/5 + 4/5b 
Just to make sure you understand where that b is, I will do this in

Latex.\frac{2b + 8}{10b} =  \frac{2b}{10b} +  \frac{8}{10b} =  \frac{2}{10} + \frac{4}{5b} =  \frac{1}{5} +  \frac{4}{5b}

Alternate answer
If you do mean what your wrote then the reciprocal is 2b / 10b + 8 which is 1/5 + 8 = 8 + 0.2 = 8.2 

The 8 has nothing to do with the reciprocal under these conditions.

The answer
I have given you all the choices I can think of without going into decimals. If you have choices, please list them under the comments.
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garik1379 [7]

Answer: 3 and 7

Step-by-step explanation:

Hope this helps :)

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