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lutik1710 [3]
3 years ago
12

If the sum of the interior angles of a regular polygon measures up to 1440 degrees, how many sides does the polygon have?

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
6 0

Answer:

Option 1) 10 sides

Step-by-step explanation:

We are given a regular polygon. The sum of interior angles measure upto 1440 degrees.

Since it is a regular polygon, it satisfies the following properties:

  • All the sides are equal.
  • All interior angle have same measure.

Let the regular polygon have n sides.

Then, the sum of interior angle is given by:

(n-2)\times 180^\circ

Putting the values, we get,

(n-2)\times 180 = 1440\\\\n-2 = \dfrac{1440}{180}\\\\n-2 = 8\\n = 8 + 2\\n =10

Thus, there are 10 sides. The regular polygon is a regular decagon.

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Present Value Hoew much shuold be deposited in an account paying 7.2% interest compounded monthly in order to have a balance of
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Answer:$6451.6 should be deposited.

Step-by-step explanation:

The principal was compounded monthly. This means that it was compounded 12 times in a year. So

n = 12

The rate at which the principal was compounded is 7.2%. So

r = 7.2/100 = 0.072

It was compounded for 3 years. So

t = 3

The formula for compound interest is

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A = total amount in the account at the end of t years. A is given as $8000 Therefore,

8000 = P (1+0.072/12)^12×3

8000 = P(1+0.006)^36

8000 = P(1.006)^36

P = 8000/1.24

P = $6451.6

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3 years ago
Suppose Galileo and his assistant were 1 km apart when Galileo uncovered his lantern to try to measure the speed of light. How l
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3 years ago
Solve for v <br> 4v=72<br> Simplify your answer as much as possible.
Ludmilka [50]
Answer:
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Explain:
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What percent of 50 is 9?
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What is Szymborska's overall opinion of humanity in "A Contribution to Statistics?" Support your response with at least two deta
aleksandrvk [35]

Answer:

Szymborska's overall opinion of humanity in "A Contribution to Statistics" is overall positive

Step-by-step explanation:

Szymborska is a poet who likes to comment on society with irony and sarcasm.One example of this is when she splits people into categories in her poem “A Contribution to Statistics”. Here Szymborska’s overall opinion of humanity may seem negative due to her bluntness and dry humor. For example, she says in the tenth stanza, “cruel when forced by circumstances -better not to know even ballpark figures.” It’s implied in this line that most people (maybe even all)are cruel or can be. She also says, “taking only things from life -thirty”which comments how lots of people are selfish. However, this seemingly cynical poem takes a sweeter turn near the end with statistics like, “worthy of compassion - ninety-nine” and “mortal- a hundred out of a hundred.” These lines reveal that even though Szymborska believes that humanity is extremely flawed the mass majority of us deserve and are worthy of love. Plus the fact that we’re all mortal may seem dark but the fact remains that both the righteous and the sinners will all end up in the same place. The fact that no one can escape

death gives humans equality in a way. Szymborska’s overall opinion of humanity turned out to be more optimistic after all.

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4 years ago
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