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nirvana33 [79]
3 years ago
7

What is the number in which the least common multiple equals the product of the two numbers

Mathematics
1 answer:
motikmotik3 years ago
6 0
2 and 2
0 and 0
-2 and -2
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Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha
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Answer:

The length of each side of the city is 250b

Step-by-step explanation:

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a = 20 --- tree distance from north gate

b =14 --- movement from south gate

c = 1775 --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

\triangle ADE \sim \triangle ACB --- similar triangles

So, we have the following equivalent ratios

AE:DE = AB:CB

Where:

AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775

Substitute these in the above equation

20:x/2 = 20 + x + 14: 1775

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Express as fraction

\frac{20}{x/2} = \frac{x + 34}{1775}

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Cross multiply

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Open bracket

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Rewrite as:

x^2 + 34x - 71000 = 0

Expand

x^2 + 284x -250x - 71000 = 0

Factorize

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Split

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6 0
3 years ago
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