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3 years ago

Given a radius of 9 inches, estimate the length of arc s to the nearest hundredth.

Mathematics

2 answers:

malfutka [58]3 years ago

6 0

The question is incomplete, here is the complete question:

Given a radius of 9 inches intercepted by the central angle 60°. Estimate the length of arc 'S' to the nearest hundredth.

<u>Answer:</u> The arc length of the circle is 9.42 inches

<u>Step-by-step explanation:</u>

To calculate the length of the arc, we use the formula:

$S=2\pi r(\frac{\theta}{360})$

where,

S = arc length = ?

r = radius of the circle = 9 inches

$\theta$ = central angle = 60°

Putting values in above equation, we get:

$S=2\times 3.14\times 9\times (\frac{60}{360})\\\\S=9.42in$

Hence, the arc length of the circle is 9.42 inches

Natalka [10]3 years ago

6 0

Answer:

21.24 inches

Step-by-step explanation:

correct answer on edge

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A video game store allows customers to rent games for 4.75 each. Customers can also buy a membership for $54 annually, and video

ankoles [38]

Answer:

24 video games

Step-by-step explanation:

Let x represent number of video games.
We have been given that a video game store allows customers to rent games for $4.75 each. So the cost of renting x video games would be 4.75x.

We are also told that customers can also buys a membership for $54 annually, and video games would only cost $2.50 each. The cost of renting x video games after membership would be 2.50x + 54

To find the number of video-games that will cost same for both options, we will equate both expressions as:

4.75x = 2.50x + 54
4.75x - 2.50x = 2.50x - 2.50x + 54

Therefore, a customer would have rent 24 video games in a year in order for the two options to be equal.

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3 years ago

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Hitman42 [59]

Answer:

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Step-by-step explanation:

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3 years ago

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lina2011 [118]

Answer:

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3 years ago

Exercise 2.64. On a test there are 20 true-or-false questions. For each problem the student (a) knows the answer with probabilit

ale4655 [162]

Answer:

$\left(p+\dfrac{p}{2}\right)^{19}\left(20-19p-\dfrac{19r}{2}\right)$

Step-by-step explanation:

Let the probability that he gets the correct answer be m.

If he gets the answer, then either he knows it (a probability of p) or he does not know it but guesses correctly (r × 1/2). Therefore,

$m = p + \dfrac{r}{2}$

Let the probability that he gets the incorrect answer be n. Then, by being complementary events

$n=1-m =1 - p - \dfrac{r}{2}$

This is a binomial or Bernoulli distribution since he gets the answer either correctly or incorrectly. The probability of at least 19 correct answers out of 20 is the sum of the probabilities of 19 or 20 correct answers.

$P(\gt19) = P(19) + P(20)$

$P(\gt19) = \binom{20}{19}m^{19}n^1 + \binom{20}{20}m^{20}$

$P(\gt19) = 20\left(p + \dfrac{r}{2}\right)^{19}\left(1 - p - \dfrac{r}{2}\right) + \left(p + \dfrac{r}{2}\right)^{20}$

$= \left( p + \dfrac{r}{2}\right)^{19}\left(20\left(1 - p - \dfrac{r}{2}\right)+p + \dfrac{r}{2}\right)$

$P(\gt19) = \left(p+\dfrac{p}{2}\right)^{19}\left(20-19p-\dfrac{19r}{2}\right)$

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4 years ago

Angelica reads 15 pages of a book each day. In 10 days, she reads 200 pages. Assume the relationship is linear. Find and interpr

Dmitriy789 [7]

Answer:

rate of change: 15 pages per day

initial value: 50 pages

Step-by-step explanation:

In this scenario, the rate of change is 15 pages per day. This means that every single day Angelica can read 15 pages of the book and that is the number by which her total read pages will change. In 10 days Angelica can read 150 pages (10 days * 15 pages per day). Since the question states that in 10 days Angelica has read 200 pages then this means that the initial value of pages read would be 50 since this would be the number of missing pages to obtain the 200 read pages in a span of 10 days...

200 - 150 = 50 pages.

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3 years ago