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Ronch [10]
2 years ago
9

The SUM OF THE INTERIOR ANGLES of a regular polygon is 540°. How many sides does the polygon have? Show all work

Mathematics
1 answer:
liubo4ka [24]2 years ago
7 0

Answer:

5

Step-by-step explanation:

number of sides = (sum of interior angles / 180) + 2

(540 / 180) + 2 = 5

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To calculate the cost of painting his silo, a farmer must find its height. The farmer uses a cardboard square to line up the top
tankabanditka [31]

Answer:

Height of the silo = 18 feet.

Step-by-step explanation:

From the figure attached BC is the length of the silo and the height of the farmer is 5 ft.

Farmer is standing at 8 ft distance from the silo.

From triangle AEC,

tan(∠CAE) = \frac{CE}{AE}

                 = \frac{5}{8}

m(∠CAE) = tan^{-1}(\frac{5}{8})

               = 32°

m∠BAE = 90° - 32° = 58°

From the triangle ABE,

tan58° = \frac{BE}{AE}

BE = 8tan58°

BE = 12.8 ft

Total height of the silo = BE + EC

                                         = 12.8 + 5

                                         = 17.8

                                         ≈ 18 ft          

Therefore, total height of the silo is 18 ft.

3 0
2 years ago
How does the division rule for exponents help in understanding why anything to the zero power is 1?
Nookie1986 [14]
In the division rule you subtract the exponents<span> when </span>dividing<span> numbers with the same base. </span>One<span> rule for exponents is that exponents add when you have the same base. This works for any number x that you want to plug in except for x = </span>0<span>,because </span>0/0<span> is indeterminate (it is like dividing </span>zero<span> by </span>zero<span>). No matter what number we use when it is raised to the </span>zero power<span> it will always be </span>1.
5 0
3 years ago
Use distributive law evaluate
Cerrena [4.2K]

Answer:

The distributive property allows you multiply a sum in parenthesis by multiplying each addend separately, then add the products.

Step-by-step explanation:

How to use the distributive law example.

2(x+4) = 16

To use the distributive law in this example multiply 3 by all terms in the parenthesis. Multiply 2 and x, then 2 and 4 to open the parenthesis.

2x+8=16

That is how you use the distributive law.

To continue solving, subtract 8 from both sides.

2x+8-8=16-8

2x=8

Divide 2 from both sides.

2x/2=8/2

x=4

Hope this helps!

If not, I am sorry.

6 0
2 years ago
In a survey, 250 out of 1000 people said that they preferred a particular brand of shampoo. What is the result of the survey in
ipn [44]

25% said that they preferred a particular brand of shampoo, the rest is 75 %

8 0
3 years ago
Read 2 more answers
Select a counter-example that makes the conclusion false.
Softa [21]
A counter-example could be

There are more than 3 marbles in the bag, and the other ones are red.

Hope this helps!
4 0
3 years ago
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