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3 years ago

A sector with an area of 11/2*pi cm^2 has radius of 3 cm. What is the central angle measure of a sector in degrees?

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

8 0

Answer:

Step-by-step explanation:

Area of sector = angle/360 * pi * r^2

5.5pi = angle/360 * pi * 9

5.5 = angle/360 * 9

angle = (5.5 * 360)/9 = 40 * 5.5 = 220

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Fantom [35]

Answer:

what are the requirements??

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3 years ago

A newspaper conducted a survey to find out how many high school students play video games.The two ways table below displays the

zepelin [54]

Answer:

Step-by-step explanation:

Given that

We are given the following:

1. Boys who do play video games = 1593

2. Boys who do not play video games = 858

3. Total boys = 2451

4. Girls who do play video games = 1361

5. Boys who do not play video games = 1635

6. Total Girls = 2996

7. Total number of candidates = Total boys + Total girls

=(2451 + 2996) = 5447

8. Total number of students, who play video games = 2954

9. Total number of students, who do not play video games = 2493

Percentage of boys who play video games:

$\dfrac{1593}{2451} \times 100 = 64.99\%$

So, option A is not correct.

Percentage of girls who play video games:

$\dfrac{1361}{2996} \times 100 = 45.43\%$

so option B is correct. The percentage is near about 45%,

Percentage of Total number of students, who do not play video games:

$\dfrac{2493}{5447} \times 100 = 45.77\%$

So, option C is not correct.

7 0

3 years ago

A group of friends wants to go to the amusement park. They have $116 to spend on parking and admission. Parking is $10.25, and t

Alexus [3.1K]

Answer:

2 people

Step-by-step explanation:

no. of people = x

total parking costs = 10.25x

total tickets cost = 35.25x

total = 10.25x + 35.25x

suppose 3 people go, then the total cost will be

10.25(3) + 35.25(3) = 136.5 and this is greater than 116

Suppose 2 people go then the cost will be

10.25(2) + 35.25(2) = 91 which is less than 116

so only 2 people can go.

7 0

2 years ago

Consider the following proposed proof by contradiction that for all positive integers n, 3n > 2.

laila [671]

Answer:

The proof contains a simple direct proof, wrapped inside the unnecessary logical packaging of a proof by contradiction framework.

Step-by-step explanation:

The proof is rigourous and well written, so we discard the second answer.

This is not a fake proof by contradiction: it does not have any logical fallacies (circular arguments) or additional assumptions, like, for example, the "proof" of "All the horses are the same color". It is factually correct, but it can be rewritten as a direct proof.

A meaningful proof by contradiction depends strongly on the assumption that the statement to prove is false. In this argument, we only this assumption once, thus it is innecessary. Other proofs by contradiction, like the proof of "The square root of 2 is irrational" or Euclid's proof of the infinitude of primes, develop a longer argument based on the new assumption, but this proof doesn't.

To rewrite this without the superfluous framework, erase the parts "Suppose that the statement is false" and "The fact that the statement is true contradicts the assumption that the statement is false. Thus, the assumption that the statement was false must have been false. Thus, the statement is true."

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3 years ago

What is the surface area of a rectangular prisim with a height of 22 and area of 64

NikAS [45]

Answer:

1408 multiply 64 by 22 for a total of 1,408

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3 years ago

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