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devlian [24]
3 years ago
8

He Polygon Angle-Sum Theorem states the following: The sum of the measures of the angles of an n-gon is ____.

Mathematics
1 answer:
CaHeK987 [17]3 years ago
6 0
According to the angle-sum theorem, the  sum of the measures of the angles of an n-gon is expressed in the formula B. (n – 2)*180. This is verified in a simplt triangle, in which the total sum of the angles inside is 180 with n of the polygon equal to 3. Hence, (3-2)*180 equal to 180 degrees. 
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Can anybody help me with this?
vlada-n [284]
In the parenthesis: p^3/5 * p^2/5 = p^5/5 (You just add the exponents for multiplication)

p^5/5 is the same as p^1 or just p.

So now we have p^5 in our numerator and p^5 in our denominator.  So that simplifies to 1.
7 0
3 years ago
Read 2 more answers
Ayo runs a fairground game.In each turn, a player rolls a fair dice numbered 1 - 6 and spins a fair spinner numbered 1 - 12.It c
aksik [14]

Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.

The <em>expected value</em> is given by the <u>sum of each outcome multiplied by it's respective probability.</u>

In this problem:

  • The player wins $6, that is, Ayo loses £6, if he rolls a 6 and spins a 1, hence the probability is \frac{1}{6} \times \frac{1}{12} = \frac{1}{72}.
  • The player wins $3, that is, Ayo loses £3, if he rolls a 3 on at least one of the spinner or the dice, hence, considering three cases(both and either the spinner of the dice), the probability is \frac{1}{6} \times \frac{1}{12} + \frac{1}{6} \times \frac{11}{12} + \frac{5}{6} \times \frac{1}{12} = \frac{1 + 11 + 5}{72} = \frac{17}{72}
  • In the other cases, Ayo wins £1.40, with 1 - \frac{18}{72} = \frac{54}{72} probability.

Hence, his expected profit for a single game is:

E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583

For 216 games, the expected value is:

E = 216(0.2583) = 55.8

Ayo can be expected to make a profit of £55.8.

To learn more about expected value, you can take a look at brainly.com/question/24855677

6 0
2 years ago
Mathew walks 5/8 mile to the bus stop each morning.How far will he walk in 5 days
LenaWriter [7]

Answer:

3 1/8 miles I think

Step-by-step explanation:

5/8 x 5/1 = 25/8

Divide 25 by 8 and you get 3 1/8

Add label of miles

7 0
3 years ago
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Vitek1552 [10]
The value of this equation is: 4
Answer: 4
6 0
3 years ago
Verify the identity algebraically:<br> Csc(-x)tanx =-secx
weqwewe [10]

Step-by-step explanation:

Recall that

\sin(-x) = -\sin x

Therefore,

\csc(-x) = \dfrac{1}{\sin(-x)} = -\dfrac{1}{\sin x}

so

\csc(-x)\tan x = \left(-\dfrac{1}{\sin x}\right)\left(\dfrac{\sin x}{\cos x}\right)

\:\:\:\:\:\:\:\:\:= -\dfrac{1}{\cos x} = -\sec x

5 0
3 years ago
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