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allsm [11]
3 years ago
14

16,42 greatest common factor

Mathematics
1 answer:
kozerog [31]3 years ago
7 0
2

42 ÷ 2 = 21
16 ÷ 2 = 8

Let's try the other factors of 42...

42 ÷ 6 = 7
16 ÷ 6 = 2.66
No...

42 ÷ 7 = 6
16 ÷ 7 = 2 2/7
No...

42 ÷ 14 = 3
16 ÷ 14 = 1.1428
No...
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The diagram shows a hexagon-shaped tile used for flooring. Each hexagon tile has an area of 18/3 in 2 Find x.​
mylen [45]

Answer:

x = 12

Step-by-step explanation:

The hexagonal tile given here is made up of 6 triangles with equal bases and heights.

So, area of hexagonal tile will be equal to 6 times the area of one triangle.

Therefore,

18 \sqrt{3}  = 6 \times  \frac{1}{2}  \times 2 {( \sqrt{3)} }^{ \frac{x}{12} } . {( \sqrt{3)} }^{ \frac{x}{6} }  \\  \\ 18 \sqrt{3}  = 6  {( \sqrt{3)} }^{ \frac{x}{12} } . {( \sqrt{3)} }^{ \frac{2x}{12} }  \\  \\  \frac{18 \sqrt{3}  }{6}  = {( \sqrt{3)} }^{ \frac{x}{12}  +  \frac{2x}{12} }  \\  \\ 3 \sqrt{3}  =  {( \sqrt{3)} }^{ \frac{3x}{12} } \\  \\ 3. {3}^{ \frac{1}{2} }  =  {3}^{ \frac{3x}{24} }  \\  \\  {3}^{1 +  \frac{1}{2} }  =  {3}^{ \frac{x}{8} }  \\  \\ {3}^{ \frac{3}{2} }  =  {3}^{ \frac{x}{8} }  \\ (bases \: are \: equal \: so \: exponents \:  \\ will \: also \: be \: equal) \\ \implies  \frac{3}{2}  =  \frac{x}{8}  \\  \\ x =  \frac{3 \times 8}{2}  \\  \\ x = 3 \times 4 \\  \\ x = 12

7 0
2 years ago
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Round 12.03994 to 3 decimal place
Misha Larkins [42]
12.03994\to\boxed{12.04}
8 0
3 years ago
Instructions: Select the correct answer from each drop-down menu. ∆ABC rotates around point D to create ∆A′B′C′. Based on t
fgiga [73]
The answer to the first part is (4,1).
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3 years ago
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Eduardwww [97]

Answer:

(A) 2^{5} * 5 * 7

Step-by-step explanation:

Your question formatting made it very complicated to understand the possible answers.  Please use some notation or the equation editor next time.

So, the exponential form a way to write a number using multiplications and powers.

Let's examine the various options (if I read them correctly)

(A) 2^{5} * 5 * 7 - YES!

2^{5} is 32, so 32 * 5 * 7 = 160 * 7 = 1120

(B) 5² · 8  - NO

= 25 * 8 = 200

(C) 2² * 5³ * 7 - NO

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(D) 2 · 5 · 7 - NO

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Answer:1 2/3

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2/3+1/3+2/3=5/3=1 2/3

7 0
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