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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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Which of the triangles are right triangles?
rewona [7]

Answer:

Number 1 is a right triangle

Number 2 is a right triangle

Number 3 is NOT a right triangle

Number 4 is NOT a right triangle

Step-by-step explanation:

Hope this helps :)

7 0
3 years ago
Somebody help me out please
dalvyx [7]

Answer:

So need me to solve it?

Step-by-step explanation:

7 0
2 years ago
The length of a rectangle is 2 cm more than four times the width. If the perimeter of the rectangle is 84 cm, what are its dimen
katovenus [111]

Answer:

Length 34 cm

Width 8 cm

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

The perimeter of rectangle is equal to

P=2(x+y)

P=84 cm

so

84=2(x+y)

42=x+y ----> equation A

x=4y+2 -----> equation B

substitute equation B in equation A and solve for y

42=(4y+2)+y

5y=42-2

y=40/5=8 cm

Find the value of x

x=4y+2 ----> x=4(8)+2=34 cm

The dimensions are

Length 34 cm

Width 8 cm

8 0
2 years ago
The constant of proportionality is always the point ____________, where kis the constant of proportionality.
spayn [35]

Answer:

The constant of proportionality is always the point (x, k * f (x), where k is the constant of proportionality.

Step-by-step explanation:

Let's take as example a linear function of the form: y = kx.

Where, k is the constant of proportionality.

Therefore, the proportionality constant is the point: (x, kx)

Generically it is always the point: (x, k * f (x)

Where, f (x) is a function proportional to x. The constant of proportionality is always the point (x, k * f (x)), where k is the constant of proportionality.

8 0
2 years ago
-0.183 as a fraction in the simplest form??
IRISSAK [1]
-0.183 = -0.183 / 1

Numerator = -0.183 × 10 × 10 × 10 = -183
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Numerator / Denominator = -183 / 1000

Our simplified fraction is:

= -183/1000



8 0
3 years ago
Read 2 more answers
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