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Butoxors [25]
3 years ago
14

Find the total surface area of this cylinder. Give your answer to one decimal place first correct answer will get brainliest and

5 stars!!!

Mathematics
1 answer:
Dafna1 [17]3 years ago
5 0

Answer:

The surface area formula is 2πr (h + r) where r and h are the radius and height respectively. Since π = 3.14, r = 7, h = 15 the answer is:

2 * 3.14 * 7 * (15 + 7) = 43.96 * 22 = 967.6

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Two families stayed at the same hotel in identical rooms. The first family stayed for 5 nights and paid extra to use a rollaway
Vesna [10]

Part A: The system of equations that can be used is

5h + 2b = 413

3h + b = 243

Part B: The cost per night of renting a room is $73 and the cost per night using a roll away bed is $24

Step-by-step explanation:

Two families stayed at the same hotel in identical rooms

  • The first family stayed for 5 nights and paid extra to use a roll away bed for 2 of the nights.
  • Their total bill was $413
  • The second family stayed for 3 nights and used a roll away bed for 1 night.
  • Their total bill was $243

We need to write a system of equations that can be used to find, h, the cost per night of renting a room at the hotel, and b, the cost per night of using a roll away bed at the hotel and find the values of h and b using the elimination method

Part A:

∵ The first family stayed for 5 nights

∵ The cost of the renting room per night is $h

∴ The cost of the five nights = 5h

∵ The first family paid extra to use a roll away bed for 2 of the nights

∵ The cost of the roll away bed per night is $b

∴ The cost of the two nights = 2b

∵ Their total bill was $413

∴ 5h + 2b = 413 ⇒ (1)

∵ The second family stayed for 3 nights

∵ The cost of the renting room per night is $h

∴ The cost of the five nights = 3h

∵ The first family paid extra to use a roll away bed for 1 of the night

∵ The cost of the roll away bed per night is $b

∴ The cost of the two nights = b

∵ Their total bill was $243

∴ 3h + b = 243 ⇒ (2)

The system of equations that can be used is

5h + 2b = 413

3h + b = 243

Bart B:

∵ 5h + 2b = 413 ⇒ (1)

∵ 3h + b = 243 ⇒ (2)

- Multiply equation (2) by -2 to eliminate b

∴ -6h - 2b = -486 ⇒ (3)

- Add equations (1) and (3)

∴ -h = -73

- Multiply both sides by -1

∴ h = 73

Substitute the value of h in equations (1) or (2) to find b

∵ 3(73) + b = 243

∴ 219 + b = 243

- Subtract 219 from both sides

∴ b = 24

The cost per night of renting a room is $73 and the cost per night using a roll away bed is $24

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

7 0
3 years ago
The perpendicular bisectors of ΔPQR intersect at point A as shown in the diagram. What is the radius of the circumscribed circle
Novosadov [1.4K]
The answer to this is 9.22
6 0
3 years ago
A geologist examines 6 seawater samples for lead concentration. The mean lead concentration for the sample data is 0.903 cc/cubi
Gnesinka [82]

Answer:

Step-by-step explanation:

We want to determine a 95% confidence interval for the mean lead concentration of sea water samples

Number of samples. n = 6

Mean, u = 0.903 cc/cubic meter

Standard deviation, s = 0.0566

For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean +/- z ×standard deviation/√n

It becomes

0.903 +/- 1.96 × 0.0566/√6

= 0.903 +/- 1.96 × 0.0566/2.44948974278

= 0.903 +/- 0.045

The lower end of the confidence interval is 0.903 - 0.045 =0.858

The upper end of the confidence interval is 0.903 + 0.045 =0.948

Therefore, with 95% confidence interval, the mean lead concentration of the sea water is between 0.858 cc/cubic meter and 0.948 cc/cubic meter

7 0
3 years ago
Can someone explain INTERQUARTILE RANGE for me, and please give an example. Thank you!
Novosadov [1.4K]
Https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th/v/calculating-interquartile-range-iqr This is a link that I gave to my little sister that helped her understand what interquartile range is. It has an example as well! I hope this helps!
7 0
2 years ago
Read 2 more answers
A spinner is divided into 8 equal sections, and each section contains a number from 1 to 8. What is the probability of the spinn
alukav5142 [94]

Answer:

more than likely none

Step-by-step explanation:

because the is no number higher than 8 that can go into 8 evenley

8 0
3 years ago
Read 2 more answers
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