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Marianna [84]
1 year ago
8

The most economical proportion for a right circular cone is to have its height three times long as its base diameter. What later

al area of the cone would produce a volume of 100m^3.
Mathematics
1 answer:
defon1 year ago
5 0

9514 1404 393

Answer:

  ∛(2500π)√37 m² ≈ 120.911 m²

Step-by-step explanation:

If the height is 3 times the diameter, it is 6 times the radius. Then the volume is ...

  V = 1/3πr²h

  V = 1/3πr²(6r) = 2πr³

For a volume of 100 m³, the radius is ...

  100 m³ = 2πr³

  r = ∛(50/π) m

The lateral area of the cone is computed from the slant height. For this cone, the slant height is found using the Pythagorean theorem:

  s² = r² +(6r)² = 37r²

  s = r√37

Then the lateral area is ...

  LA = πrs

  LA = π(∛(50/π) m)(∛(50/π) m)√37

  LA = ∛(2500π)√37 m² ≈ 120.911 m²

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Answer:

The BJ Electrical Company

The BJ Electrical Company should hire:

8 master electricians and

22 apprentices

in order to accomplish the project and still meet the contract safety requirements.

Step-by-step explanation:

Number of workers needed = 30

Class of workers:

Master electrician, with per week salary = $750 per worker

Apprentices, with per week salary = $350 per worker

Number of inspection hours required from each master electrician = 3 hours

Total inspection hours for the project = 25 hours

Average number of master electricians needed = 25/3 = 8.333 = 8

Number of each type of worker needed:

Master electricians = 8

Apprentices = 22 (30 - 8)

Cost to be incurred for workers:

Master electricians = $6,000 (8 * $750)

Apprentices =               7,700 (22 * $350)

Total labor cost =      $13,700

5 0
1 year ago
What is the mode of the following numbers?<br> 67, 76, 67, 76, 67, 23, 32, 23, 32<br> 0
AleksAgata [21]

Answer:

67

Step-by-step explanation:

67, 76, 67, 76, 67, 23, 32, 23, 32 ,0

Put the numbers in order from smallest to largest

0,23,  23, 32,32, 67, 67, 67, 76, 76,

The mode is the number that appears most often

67 appears 3 times so it is the mode

5 0
2 years ago
In politics, marketing, etc. We often want to estimate a percentage or proportion p. One calculation in statistical polling is t
inessss [21]

Answer: |p-72% |≤ 4%

Step-by-step explanation:

Let p be the population proportion.

The absolute inequality about p using an absolute value inequality.:

|p-\hat{p}| \leq E , where E = margin of error, \hat{p} = sample proportion

Given:  A poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% .

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⇒  68%  ≤ p ≤  76%.

i.e. p is most likely to be between 68% and 76% (.

6 0
1 year ago
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ElenaW [278]
K(-1+1.01)+0.03=-2.45-1.81k
0.01k+1.81k=-0.03-2.45
1.82k=-2.42
k=-2.45\1.82=1.3
7 0
1 year ago
A high school drama teacher organizes a musical production. He wants to record the number of students involved in each part of t
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I’m can’t freakin stay up I need to sleep and I need to get 4 papers done for my portfolio I can’t help but I wish you luck

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