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omeli [17]
3 years ago
12

Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a2 – 18 square units. Which is

an equivalent expression for the area of the hexagon based on the area of a triangle? 6(4a2 – 3) 6(8a2 – 9) 6a(12a – 9) 6a(18a – 12)
Mathematics
2 answers:
liberstina [14]3 years ago
8 0
<span>Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a2 – 18 square units. Which is an equivalent expression for the area of the hexagon based on the...

Answer: </span> 6(4a2 - 3)

hope this helps :)
Maslowich3 years ago
7 0

Answer: The letter option is A

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Which set of numbers is correctly ordered from greatest to least?
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Answer:

Step-by-step explanation:

Here is the corrected question and options:

Option 1:

7\frac{1}{3} , \frac{221}{30} , 7.36, 3.16\sqrt{2e}

Option 2:

7\frac{1}{3} , 7.36 , \frac{221}{30} , 3.16\sqrt{2e}

Option 3:

3.16\sqrt{2e}, 7.36 , \frac{221}{30} , 7\frac{1}{3}

Option 4:

3.16\sqrt{2e},  \frac{221}{30} , 7.36 , 7\frac{1}{3}

Solution:

Lets write each of the above given numbers in a simplified form:

7\frac{1}{3}

Simplify this by converting it into a decimal form:

This becomes:

(3*7+1) / 3 = (21 + 1) / 3 = 22/3 = 7.333333

So

7\frac{1}{3} = 7.3

\frac{221}{30}

Simplify this by converting it into a decimal form:

This becomes:

221/30 = 7.3666666667

So,

\frac{221}{30} = 7.367

7.36

This number comes with a bar sign on .36 which means that the number has a non terminating repeating decimal expansion as 7.3636363636...

So after rounding it off this becomes:

7.36

3.16\sqrt{2e}

Simplify this by converting it into a decimal form:

The value of e = 2.718

This becomes:

3.16 \sqrt{2*2.718}

= 3.16 (√5.436)

= 3.16 * 2.331523

=  7.3679949818

= 7.368

So

3.16\sqrt{2e} = 7.368

7.367995

Now we get the numbers in decimal form:

7\frac{1}{3} = 7.333333 = 7.3

\frac{221}{30} = 7.3666666667 = 7.367

7.36 = 7.3636363636

3.16\sqrt{2e} = 7.3679949818 = 7.368

Now lets order the numbers from greatest to least:

3.16\sqrt{2e}

\frac{221}{30}

7.36

7\frac{1}{3}

So the correct option is:

Option 4

3.16\sqrt{2e},  \frac{221}{30} , 7.36 , 7\frac{1}{3}  

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