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icang [17]
3 years ago
9

What is the sum of the interior angles of the polygon shown below?

Mathematics
1 answer:
Yanka [14]3 years ago
4 0

Answer:

540 degrees

Step-by-step explanation:

The formula to find the sum of interior angles in any polygon is the following:

S=180(n-2)

Where (n) represents the number of sides in the polygon. In this case, the polygon has (5) sides, therefore substitute (5) in place of (n) and solve;

S=180(n-2)\\\\S=180(5-2)\\\\S=180(3)\\\\S=540

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Find an angle in each quadrant with a common reference angle with 77°, from 0°≤θ<360°
mr Goodwill [35]

Answer:

Q1: 77°, Q2: 103°, Q3: 257°, Q4: 283°

Step-by-step explanation:

Note: Q1 = Quadrant 1

Q1: 77°

Q2: 180° - 77° = 103°

Q3: 180° + 77° = 257°

Q4: 360° - 77° = 283°

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A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased b
Murrr4er [49]

Answer:

Step-by-step explanation:

buenas tardes .....

solucion

Volumen de un cilindro: es igual al área de la tapa por la altura del mismo

A = πD² * h / 4

Lata grande y lata pequeña

Para la lata grande, el diámetro y la altura han aumentado un 20%.

Lata pequeña:

d = 4 cm

h = 3 cm

A 1 = π * (4) ² * 3/4

A1 = 37,70 cm²

Lata grande:

d = 4 * 1,2 = 4,8 cm

h = 3 * 1,2 = 3,6 cm

A2 = π (4,8) ²3,6 / 4

A2 = 65,14 cm²

Si 37,7 representa el 100%

  65,14 representación x

x = 170%

El incremento del volumen es de un 70%

6 0
3 years ago
There is a bag filled with 4 blue, 3 red and 5 green marbles.
zhannawk [14.2K]

Answer:

You are selecting marbles with replacement. The marble selections (trials) are independent and the marble selection follows the binomial distribution.

The probability of selecting a red marble the first time is 1313.

(This is because 4 out of 12 marbles are red and412412 reduces to 1313.

The probability of selecting a red marble the second time is 1313.

The marble selections are independent and you can multiply the two probabilities to get the following:

probability of getting 2 reds = (13)2(13)2

=19=19.

So the probability of getting two reds is 1919.

7 0
3 years ago
A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. Determ
Hunter-Best [27]

Answer:

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.

This means that n = 100, \pi = \frac{20}{100} = 0.2

68% confidence level

So \alpha = 0.32, z is the value of Z that has a pvalue of 1 - \frac{0.32}{2} = 0.84, so Z = 0.995.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.16

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.24

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

4 0
3 years ago
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