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skelet666 [1.2K]
3 years ago
10

The height of the regular hexagon shown is 24 in. Calculate the area to the nearest tenth.

Mathematics
2 answers:
-BARSIC- [3]3 years ago
4 0
The complete question in the attached figure N 1
see the attached figure N 2 to better understand the problem 

we know that
In a regular hexagon, all sides equals the same length and all interior angles have the same measure
<span>the regular hexagon can be divided into 6 equilateral triangles
</span>
angle ∡BXC=60°
therefore
∡BXY=30°
AD=24 in
XY=24/2-----> 12 in

in the triangle BXY
cos 30°=XY/XB-----------> XB=XY/cos 30°----> XB=12/(√3/2)---> XB=8√3 in
BC=8√3 in

[area of one equilateral triangle]=BC*XY/2-----> 8√3*12/2---> 48√3 in²
[area of six equilateral triangles]=6*48√3----> 288√3 in²----> 498.83----> 498.8 in²

the answer is
The area <span>of the regular hexagon is 498.8</span> in²

Colt1911 [192]3 years ago
4 0

Answer:

answer is C just took test

Step-by-step explanation:

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Drag the choices into the boxes to explain how all real numbers have a decimal expansion.
KATRIN_1 [288]

The decimal forms of some real numbers, like( 3/16), terminate, while the decimal forms of other real numbers, like(4 2/11 ), do not terminate, but have a repeating pattern. Still, other real numbers, like(5 squared ), have decimal forms that neither terminate nor repeat.

Step-by-step explanation:

1. The decimal forms of some real numbers, like( ), terminate

A number is terminating if it has decimal with finite number

So, \frac{3}{16}= 0.1875 as decimal stops after 4 digits so it is terminating.

2.  the decimal forms of other real numbers, like( ), do not terminate, but have a repeating pattern.

A number that do not terminate, but have a repeating pattern.

So, 4 \frac{2}{11} =\frac{44}{11}=4.1818181

3. have decimal forms that neither terminate nor repeat

5^2 = 25 it neither terminates nor repeat

So, answers will be:

The decimal forms of some real numbers, like( 3/16), terminate, while the decimal forms of other real numbers, like(4 2/11 ), do not terminate, but have a repeating pattern. Still, other real numbers, like(5 squared ), have decimal forms that neither terminate nor repeat.

Keywords: Decimals

Learn more about decimals at:

  • brainly.com/question/10941043
  • brainly.com/question/4390083

#learnwithBrainly

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5 0
3 years ago
Read 2 more answers
Why might you want to write a ratio as a decimal
Volgvan

Sometimes when you’re doing math, it’s easier to line your numbers up when you have your ratio as a decimal! Hope it helped

3 0
3 years ago
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Svetlanka [38]

Answer:

4. Yes 5.No 6. No

Step-by-step explanation:

To be short,a linear equation has a coefficient of only 1 degree.

If the degree is over 1 it isn't a linear equation.

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5 isn't becuase it's x value has a degree of 5

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7 0
3 years ago
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