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3 years ago

A rectangular carpet measures 12 m by 5 m.

Mathematics

1 answer:

Zepler [3.9K]3 years ago

8 0

Answer:

$\frac{1}{15}$

Step-by-step explanation:

Area of the Rectangular Carpet=12*5=60m²

Area of the Square rug=2*2=4m²

Expressing the area of the rug as a fraction of the total area of the carpet, we have:

$\frac{\text{Area of Rug}}{\text{Area of Carpet}}=\frac{4}{60}\\=\frac{1}{15}$ .

The fraction of the carpet that is covered by the rug is $\frac{1}{15}$ .

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graph each equation for the interval -360 is less than or equal to x and 360 is greater than or equal to x: y=1/2cos(2x+60)

lianna [129]

Answer:

See graph

Step-by-step explanation:

We want to graph $y=\frac{1}{2}\cos(2x+60\degree)$ on the interval $-360\degree \le x \le 360\degree$

We need to plot some few points

$(-30\degree,\frac{1}{2})$

$(-15\degree,\frac{\sqrt{3}}{4})$

$(0\degree,\frac{1}{4})$

$(15\degree,0)$

$(30\degree,-\frac{1}{4})$

$(45\degree,-\frac{\sqrt{3}}{4})$

$(60\degree,-\frac{1}{2})$

$(75\degree,-\frac{\sqrt{3}}{4})$

$(90\degree,-\frac{1}{4})$

$(105\degree,0)$

$(120\degree,\frac{1}{4})$

$(135\degree,\frac{\sqrt{3}}{4})$

$(150\degree,\frac{1}{2})$

This will give us one cycle.

We then use the pattern to complete the graph on the interval

$-360\degree \le x \le 360\degree$

6 0

3 years ago

The library question please, and can u please explain, I’ll give many points

miss Akunina [59]

Answer: 1,260 books are due back this week.

Step-by-step explanation:

So, 12500/5 = 2500

2500 * 2 = 5000

5000 is 2/5 out of 12,500

19000/5 = 3800

3800 * 2 = 7600

7600 is 2/5 out of 19000.

7600 + 5000 = 12,600

12600 total books are checked out.

12600/10 = 1260

1260 * 1 = 1260

3 0

3 years ago

Read 2 more answers

9 is a factor of which number? <br> 12<br> 18<br> 23<br> 28

Angelina_Jolie [31]

Answer:

The answer is 18.

Step-by-step explanation:

9x2=18

4 0

3 years ago

AMERICAN AIRLINES HAS A POLICY OF BOOKING AS MANY AS 15 PEOPLE ON AN AIRPLANE THAT CAN SEAT ONLY 14. (PAST STUDIES HAVE REVEALED

Blizzard [7]

Using the binomial distribution, there is a 0.0874 = 8.74% probability that not enough seats will be available.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

For this problem, the values of the parameters are given by:

n = 15, p = 0.85.

The probability that not enough seats will be available is P(X = 15), as the only outcome in which not enough seats will be available is when all 15 people who bought the ticket show up, hence:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 15) = C_{15,15}.(0.85)^{15}.(0.15)^{0} = 0.0874$

0.0874 = 8.74% probability that not enough seats will be available.

More can be learned about the binomial distribution at brainly.com/question/24863377

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8 0

1 year ago

The probability that Edward purchases a video game from a store is 0.67 (event A), and the probability that Greg purchases a vid

ankoles [38]

Easy! The answer is B!

5 0

3 years ago

Read 2 more answers