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3 years ago

The interior angles in a regular polygon are 140 degrees. How many sides has the polygon?

Mathematics

2 answers:

Wittaler [7]3 years ago

8 0

$180^o-140^o=40^o\\\\360^o:40^o=9\\\\Answer:This\ a\ regular\ polygon\ has\ 9\ sides.$

Rasek [7]3 years ago

6 0

Yes, it certainly could ! When you first noticed that formula in a book, or when it was given to you in class, did you also notice or learn what it means ?

It means
"The sum of all the interior angles in a polygon" = (number of sides - 2) x 180.

Triangle ........ 3 sides ... (3 - 2) = 1 x 180 = 180° degrees ... 60° each if regular
Quadrilateral . 4 sides ... (4 - 2) = 2 x 180 = 360° degrees ... 90° each if regular
Pentagon ...... 5 sides ... (5 - 2) = 3 x 180 = 540° degrees ... 108° each if regular
Hexagon ....... 6 sides ... (6 - 2) = 4 x 180 = 720° degrees ... 120° each if regular
Sevenagon ... 7 sides ... (7 - 2) = 5 x 180 = 900° degrees ... 128 and 4/7 each if regular
Octagon ........ 8 sides ... (8 - 2) = 6 x 180 = 1080° degrees ... 135° each if regular
Nonagon ....... 9 sides ... (9 - 2) = 7 x 180 = 1260° degrees ... 140° each if regular

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A garden is in the shape of a square with a perimeter of 36 36 feet. The garden is surrounded by two fences. One fence is around

Vlad [161]

Answer:

$110.88

Step-by-step explanation:

Let L be the length of the first fence surrounding the garden and P its perimeter.

For a square, P = 4L,

So, L = P/4

Since P = 36 feet,

L = P/4

= 36/4

= 9 feet

Let L' be the length of the second fence. Given that second fence is 3 feet away from the first fence, it follows that L' = L + 3

= 9 + 3

= 12 feet.

So, the perimeter of the second fence is P' = 4L'

= 4 × 12 feet

= 48 feet.

So, the total length of the two fences is P" = P + P'

= 36 feet + 48 feet

= 84 feet

Since the cost of the material to build the two fences is $1.32 per foot, the total cost of the fences is cost per foot × total length of fences = $1.32 × 84 = $110.88

3 0

3 years ago

A student bought 5 coats at $86 each and paid for them with only $20 bills. How many bills did it take ?

aleksandr82 [10.1K]

It took 22 $20 bills . $86 x5= $430
Then $430 divide by 20 = 21.5
So you can’t have half a bill do the answer has to be rounded up to 22 twenty dollar bills

3 0

3 years ago

81x^4 write as a square

Dahasolnce [82]

Answer:

a square what

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

2^5×8^4/16=2^5×(2^a)4/2^4=2^5×2^b/2^4=2^c A= B= C= Please I'm gonna fail math

aleksley [76]

9514 1404 393

Answer:

a = 3, b = 12, c = 13

Step-by-step explanation:

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

(a^b)/(a^c) = a^(b-c)

(a^b)^c = a^(bc)

___

You seem to have ...

$\dfrac{2^5\times8^4}{16}=\dfrac{2^5\times(2^3)^4}{2^4}\qquad (a=3)\\\\=\dfrac{2^5\times2^{3\cdot4}}{2^4}=\dfrac{2^5\times2^{12}}{2^4}\qquad (b=12)\\\\=2^{5+12-4}=2^{13}\qquad(c=13)$

_____

Additional comment

I find it easy to remember the rules of exponents by remembering that an exponent signifies repeated multiplication. It tells you how many times the base is a factor in the product.

$2\cdot2\cdot2 = 2^3\qquad\text{2 is a factor 3 times}$