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katrin2010 [14]
3 years ago
15

A cone has a height of 4 in and a radius of 6 in. What is the volume of the cone?

Mathematics
1 answer:
MatroZZZ [7]3 years ago
3 0

Answer:

48π in³

Step-by-step explanation:

V=\frac{1}{3} \pi r^2h

Plug in the radius 6 in and the height 4 in

V=\frac{1}{3} \pi (6)^2(4)\\V=\frac{1}{3} \pi (36)(4)\\V=\frac{1}{3} \pi (144)\\V=48\pi

Therefore, the volume of the cone is 48π in³.

I hope this helps!

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F(x) = 4x - 4, g(x) = - 3x² + 2x - 3, and h(x) = - 2x^2- 5, find f(-4)
tia_tia [17]

Answer:

-20

Step-by-step explanation:

f(x) = 4x - 4

f(-4) = 4*-4 - 4

f(-4) = -16 - 4

f(-4) = - 20

  • f(x) shares many of the properties of y so you could think of this question as y = 4x - 4
  • The difference is as in this question that f(-4) conveys the message that wherever you see an x on the right side of the equation, you put -4 in it's place.
  • That's what was done on the second step.
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Suppose there is a 1.6 degrees drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperat
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Answer:

43.6 degrees at 10,000 ft

Step-by-step explanation:

1.6 X 10= 16

59.6-16=43.6

7 0
3 years ago
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Answer: Only 57 percent of babies stay asleep for eight hours straight at the age of one year, Canadian researchers found

Step-by-step explanation:

8 0
2 years ago
What property is shown by the equation? Column A Column B 1. 0 ÷ (–6) = 0 2. (–1) • (–9) = 9 3. 1 • (–18) = –18 4. A. Reciprocal
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Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of
kirza4 [7]

Answer:

a

   P(X <  24 )=  21.186\%  

b

    x =  19.78 \  months

Step-by-step explanation:

From the question we are told that

 The mean is   \mu  =  26 \  months

 The standard deviation is  \sigma  =  4 \  months

 Generally 2 year is  equal to  24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

      P(X <  24 )=  P(\frac{X - \mu }{ \sigma} <  \frac{24 - 26}{4}  )

Generally  \frac{X - \mu}{\sigma } =Z (The  \ standardized \  value  \  of  \  X )

     P(X <  24 )=  P(Z <  -0.8  )

Generally from the z-table  

       P(Z <  -0.8) =  0.21186

So

       P(X <  24 )=  0.21186

Converting to percentage

      P(X <  24 )=  0.21186  * 100

=>    P(X <  24 )=  21.186\%  

Generally the duration that should be the guarantee period if  Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

    P(X <  x) =  P(\frac{X - \mu }{\sigma}  < \frac{x - 26}{4} )= 0.06

=> P(X <  x) =  P(Z < \frac{x - 26}{4} )= 0.06

From the normal distribution table the z-score for  0.06 at the lower tail  is

       z = -1.555

So

    \frac{x - 26}{4} = -1.555

=> x =  19.78 \  months  

7 0
3 years ago
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