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Alex777 [14]
3 years ago
7

A roof on a castle tower is shaped like a cone with a diameter of 12 feet and has a slant height of 13 feet one bundle of Shingl

es covers 32 ft.² how many bundles should you buy to cover the roof
Mathematics
1 answer:
marissa [1.9K]3 years ago
8 0

Answer:

  8

Step-by-step explanation:

The lateral area of a cone is ...

  LA = (π/2)ds

where d is the diameter, and s is the slant height.

The area of this tower roof is about ...

  LA = (π/2)(12 ft)(13 ft) = 78π ft² ≈ 245 ft²

About 245/32 = 7.7 bundles of shingles will be required for coverage.

You should buy 8 bundles of shingles to cover the roof.

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lesantik [10]

The formula for volume of a hemisphere is: V = 2/3 * π * r³

Volume = 2/3 x 3.14 x 150^3

Volume = 7,065,000 cubic feet.

Multiply the cost per cubic foot by the volume:

7,065,000 x 0.05 = 353,250

The total cost was $353,250

6 0
3 years ago
Hi, I don't feel very confident about my work in this calculus problem and I would appreciate it if anyone else could note any c
Lostsunrise [7]
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A. Correct.

B. Correct.

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3 years ago
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Answer:

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Read 2 more answers
A recent study of 26 city residents showed that the time they had lived at their present address has a mean of 10.3 years with t
svetlana [45]

Answer:

The 95% confidence interval is  9.15<  \mu < 11.45

Step-by-step explanation:

From the question we are told that

     The sample size is  n =  26

      The mean is  \= x =  10.3

       The standard deviation is  s =  3

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

=>   E =  1.96 *  \frac{3}{\sqrt{26} }

=>   E = 1.1532

Generally 95% confidence interval is mathematically represented as  

      \= x -E <  \mu <  \=x  +E

=>   10.3  -1.1532 <  \mu < 10.3  +  1.1532

=>    9.15<  \mu < 11.45

7 0
3 years ago
What is the slop and y-intercept of this line y = x - 5
raketka [301]

Answer:

The slope is  

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y -intercept is  

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Step-by-step explanation:

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