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Katyanochek1 [597]
3 years ago
10

The polygons are regular polygons. Find the area of the shaded region.

Mathematics
1 answer:
Serga [27]3 years ago
6 0
Polygon area = [circumradius^2 * # sides * sine (360/# sides)] / 2
small hexagon area =[5^2 * 6 * sine (60)] / 2
small hexagon area =[25 * 6 * 0.86603] / 2
<span><span>small hexagon area = 64.95225 </span> sq feet
</span>
large hexagon area =[10^2 * 6 * sine (60)] / 2
large hexagon area =[600 * 0.86603] / 2large hexagon area = <span> <span> <span> 259.809 </span></span></span>sq feet
Area of shaded region = large hexagon area -small hexagon areaArea of shaded region = <span> <span> 259.809</span> -</span>64.95225 <span>Area of shaded region = 194.85675 </span><span>sq feet
</span>
Source:http://www.1728.org/polygon.htm

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I really need help please!
pashok25 [27]

As we know that angle of semi circle is 180°.

Here,

FLG = 40°

GLH = ?

HLJ = 60°

FLG + GLH + HLG = 180°

40° + GLH + 60° = 180°

GLH + 100° = 180°

GLH = 180° - 100°

GLH = 80°

Now,

FLH = 40° + 80° = 120°

\sf \: Length \:  of  \: an \:  arc  \: of \:  GHF =   \dfrac{ \theta}{360}  \times 2 \pi \: r

=  \dfrac {120}{360}  \times 2 \times  \dfrac{22}{7}  \times r

=  \frac{1}{3}  \times  \frac{44}{7}  \times r

=  \frac{44}{21}  \times r

= 2.09r

4 0
3 years ago
-y=8x in slope intercept form
Temka [501]
-y=8x
Since slope intercept form is the form: y=mx + b
And <span>-y=8x is basically -y=mx 
All you have to do is divide -y by -1 so that the negative of the variable goes away.
Final Answer: y= -8x</span>
3 0
3 years ago
Which fractions are greater than -5/16 ?
AlladinOne [14]
-5/16 

Our choices:-

A.-3/8
 
 
 B.-11/12
 
 
 C.-1/4
 
 
<span> D.-1/8
</span>
Let us get all of them with a LCD

-1*2 = -2
8*2 = 16

-2/16 is not bigger than -5/16

-11/12 is bigger than -5/16 because half of 16 is 8.

-1*4 = -4
4*4= 16

-4/16 is not bigger than -5/16

-1/8 is smaller than -5/16

Final answer: -11/12 is the only fraction bigger than -5/16

3 0
3 years ago
Read 2 more answers
The sum of three consecutive intergers is 36.if the first integer is y,find the value of y.
wariber [46]
Hi,
Since they are consecutive, the equation will be:
y + (y + 1) + ( y + 2)=36
y + y + y +1 +2 = 36
3y + 3 = 36
3y = 36-3
3y = 33
y = 33/3
y=11
The three consecutive integers are 11, 12(11+1) and 13(11+2).
Hope this helps you.
6 0
3 years ago
Putting recipe makes 4 1/2 cups of pudding. How many 1/3 cup servings does this equal?
mel-nik [20]

Answer:

C

Step-by-step explanation:

First, write 4 ½ in improper form.  2 × 4 + 1 = 9. So the fraction is 9/2.

Now divide:

9/2 ÷ 1/3

To divide by a fraction, multiply by the reciprocal:

9/2 × 3/1

27/2

13 1/2

Answer C.

4 0
3 years ago
Read 2 more answers
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