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DENIUS [597]
3 years ago
10

A shadow 2 meters long is cast by a statue that is 2.1 meters tall. If a stucco column close by casts a shadow 4 meters long, ho

w tall is the stucco column? Please show thought process.
Mathematics
1 answer:
Semenov [28]3 years ago
3 0
The stucco column is 4.2 meters tall.
You have to set up a ratio.    X              2.1           
                                            ----------  =    ----------  
                                                 4               2  
Make sure to keep the heights and shadow equal to each other. then cross multiply (2.1*4) and divide (8.4/2)  
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Which expressions are equivalent to Negative 9 (two-thirds x + 1)? Check all that apply.
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<u><em>Answer:</em></u>

<u><em /></u>-9(\frac{2}{3}x) + 9(1)\\  \\-6x + 9

<u><em>Explanation:</em></u>

<u>Before we begin, remember the following rules:</u>

<u>1- Distribution property:</u>

<u />a(b+c) = ab+ac

<u>2- Simplification of fractions:</u>

<u />\frac{xy}{yz}=\frac{x}{z}

<u>3- Signs in multiplication:</u>

+ve * +ve = +ve

-ve * -ve = +ve

+ve * -ve = -ve

<u>Now, for the given problem, we have:</u>

<u></u>9 (\frac{2}{3}x + 1)

<u>Starting with the distributive property:</u>

<u />-9 (\frac{2}{3}x +1) =  -9(\frac{2}{3}x) - (-9)(1) = -9(\frac{2}{3}x) + 9(1)

..................>This corresponds to option 1

<u>Now, we simplify the output from the above step:</u>

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................> This corresponds to option 5

Hope this helps :)

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