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mariarad [96]
3 years ago
11

The central angle of a regular polygon is 18 degrees. Th e perimeter of the polygon is 144 ft. What is the area of the polygon t

o the nearest tenth?
Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
7 0
Given that the central angle of a polygon is 18, then the number of sides of the polygon will be:
360/18
=20 sides
thus the side length will be:
144/20
=7.2 ft
hence the area will b given by:
p=s×n
a=s/[2tan(180)/n]
where:
Area=(a×p)/2
p=perimeter, s=side length, n=number of sides
p=7.2×20=144
a=7.2/[2tan (180/20)]=22.73
thus
A=(144×22.73)/2
A=1632.524 ft²
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Drag each equation to show if it could be a correct first step to solving the equation 4(3+x)=36.
aleksklad [387]

<u>The following could be a correct first step to solving the equation 4(3+x)=36</u>

  • 12 + 4 x = 36
  • 3 + x = 9
  • (4.3) + (x.4) = 36

<u>Step-by-step explanation:</u>

Here we have , to that which equation fits good for next step solutions for the given equation as 4(3+x)=36:

case 1: 12+4x=36 :

Yes, this equation can be obtained from 4(3+x)=36 as

⇒ (4.3)+(4.x) = 36

⇒ (12)+(4x) = 36

case 2: 3+x=9 :

Yes, this equation can be obtained from 4(3+x)=36 as

⇒ \frac{4(3+x)}{4}=\frac{36}{4}

⇒ 3+x=\frac{36}{4}

⇒ 3+x=9

case 3: 12+x=36:

No, not possible as  4(3+x)=36 can be written as

⇒ 12+4x=36 Not as 12+x=36 .

case 4: 3+4x=36:

Not possible as  4(3+x)=36 can be written as

⇒ 12+4x=36 Not as 3+4x=36 .

case 5: 4(3+x)=144:

Not possible as  4(3+x)=36 can be written as

⇒ 4(3+x)=36 Not as   4(3+x)=144.

case 6: (4.3)+(4.x)=36 :

Yes, this equation can be obtained from 4(3+x)=36 as

⇒ (4.3)+(4.x)=36

3 0
4 years ago
PLEASE HELP ME! I NEED HELP ASAP! EXPLAIN THE ANSWER!! PLEASEE I WILL MARK BRAINLIEST! HELP ASAP!!
olga55 [171]
A. The formula to find the volume of a cylinder (that's what the first shape is):
pi r^2 h      So, when you plug in the numbers and calculate, you get: 24.5pi

The formula to find the volume of a rectangular prism is: length x width x height.
6 x 9 = 54   54 x 2 = 108   

V of the first pan = 24.5pi    V of the second pan = 108  The second pan has a larger volume.



3 0
3 years ago
C'MON, PLS HELP, I WILL GIVE BRAINLIEST-A farmer has 300 ft of fencing with which to enclose a rectangular pen next to a barn. T
Vika [28.1K]
Hi there,

width: 15, length: 30

Also, the max area of the garden is 450 square feet. 

Hope this helps,

Master Yoda
6 0
4 years ago
 The volume of a cylinder is
Dima020 [189]

The volume of a cylinder is equal to \frac{1}{3}\pi  r^{2} h, where r is the radius of the cylinder and h is its height.

324 =  \frac{1}{3}\pi  r^{2} h

324 = \frac{1}{3} x 3.14 x r^{2} x 1

309.55 = r^{2}

r = \sqrt{309.55}

r = approx. 17.59 inches

I hope this answer helped you! If you have any questions, feel free to ask away.

7 0
3 years ago
If there are 36 boys and 60 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
marishachu [46]

Answer:

You have the two numbers, so 36/60 is the ratio of boys to girls.

Step-by-step explanation:

You will want to simplify those numbers (reduce to lowest terms).

8 0
3 years ago
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