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3 years ago

Find me area of the regular hexagon if the apothem is 4sqrt3 mm and a side is 8mm. Round the the nearest whole number.

Mathematics

1 answer:

lesya692 [45]3 years ago

8 0

Answer: THE LAST OPTION.

Step-by-step explanation:

To calculate the area of the regular hexagon you must apply the following formula:

$A=\frac{P*a}{2}$

Where P is the perimeter and a is the apothem.

The perimeter is:

$P=6*s$

Where s is the lenght of a side.

Then:

$P=6*8mm=48mm$

Then, the area is:

$A=\frac{48mm*4\sqrt{3}mm}{2}\\A=166mm^{2}$

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Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 47.3 m

Marta_Voda [28]

Answer:

$\bar X = \frac{2276}{48}=47.417$

If we compare this value with the 47.3 proposed we have the following error

$Error = \frac{|Actual-real|}{real}*100 = \frac{|47.417-47.3|}{47.3}*100 =0.247\%$

The computed mean is close to the actual mean because the difference between the means is less than 5%.

Step-by-step explanation:

Assuming the following dataset:

Speed 42-45 46-49 50-53 54-57 58-61

Freq. 21 15 6 4 2

And we are interested in find the mean, since we have grouped data the formula for the mean is given by:

$\bar X = \frac{\sum_{i=1}^n x_i f_i}{\sum_{i=1}^n f_i}$

And is useful construct a table like this one:

Speed Freq Midpoint Freq*Midpoint

42-45 21 43.5 913.5

46-49 15 47.5 712.5

50-53 6 51.5 309

54-57 4 55.5 222

58-61 2 59.5 119

Total 48 2276

And the mean is given by:

$\bar X = \frac{2276}{48}=47.417$

If we compare this value with the 47.3 proposed we have the following error

$Error = \frac{|Actual-real|}{real}*100 = \frac{|47.417-47.3|}{47.3}*100 =0.247\%$

The computed mean is close to the actual mean because the difference between the means is less than 5%.

6 0

3 years ago

Which of the following ratios are proportional? 9/12 12/15 16/20 20/24 24/35

8_murik_8 [283]

9/12 is the correct answer

6 0

3 years ago

I need help cause i already did this but i got a 67 and thats not good so helppp me

olga_2 [115]

Subtract 10 from both sides

7 0

2 years ago

Read 2 more answers

100000000000000000000000000000000000000000000000 X 100000000000000000000000000000000000000000000000

AlladinOne [14]

Take all the zero's away and multiply the numbers that are left.

which is 1*1=1 now add all of the zeros to that one which will turn it into

10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

which is the answer

8 0

3 years ago

Read 2 more answers

What is the perimeter of triangle ABC ?

blagie [28]

Answer:

$9+\sqrt{41}$

Step-by-step explanation:

From C-A, it goes from y=1 to y=5, so that 4 units

From A-B, it goes from x = -1 to x = 4, that is 5 units

Now, to find distance from B to C, we need to use the distance formula:

$D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

Where the variables are the respective points of B and C,

B (4,5) & C(-1,1)

So x_1 =4, y_1=5, x_2=-1, y_2=1

Plugging into the formula we get:

$D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\D=\sqrt{(1-5)^2+(-1-4)^2}\\D=\sqrt{16+25}\\ D=\sqrt{41}$

Summing it all (perimeter is sum of 3 sides):

Distance = $4+5+\sqrt{41}\\ =9+\sqrt{41}$

3rd answer choice is right.

3 0

3 years ago