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katrin [286]
3 years ago
12

A house is 46.0 ft long and 50 ft wide, and has 8.0-ft-high ceilings. what is the volume of the interior of the house in cubic m

eters and cubic centimeters
Mathematics
1 answer:
I am Lyosha [343]3 years ago
4 0
Volume of house = 46*50*8=18400 ft^3
Each foot equals 0.3048 m. (exactly).
Therefore 1 ft^3 = 0.3048^3 m^3
Therefore volume of the interior of the house 
= 18400 ft^3 * .3048^3 m^3/ft^3
=18400*.3048^3 m^3
=521.0299772928 m^3
=521 m^3 (nearest m^3) ................(a)
or, in cubic centimeters
=521 m^3 * (100cm/m)^3
=521.0299772928 * 100^3 cm^3
=521029977.2928 cm^3
=521029977 cm^3  (nearest cm^3) .........(b)

Answer: see (a) and (b).
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Paul bags of raisin bars in a pan shaped like a rectangle or prism the volume of the pan is 252 in.³ the length of the pants 12
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Answer:

The height of the pan is 2 inches.

Step-by-step explanation:

Given : Paul bags of raisin bars in a pan shaped like a rectangle or prism the volume of the pan is 252 in.³ the length of the pants 12 inches and it's with is 10\frac{1}{2} inches.

To find : What is the height of the pan ?

Solution :

The volume of a rectangle or prism is

V=l\times w\times h

Where, l=12 inches is the length

w=10\frac{1}{2} inches is the width

V=252 in.³ is the volume

h is the height

Substitute the value,

252=12\times 10\frac{1}{2}\times h

252=12\times \frac{21}{2}\times h

h=\frac{252\times 2}{12\times 21}

h=2

Therefore, the height of the pan is 2 inches.

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Sladkaya [172]

Answer:

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Step-by-step explanation:

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P_5(x)=g(-1)+g'(-1)\,(x+1)+g"(-1)\, \frac{(x+1)^2}{2!} +g^{(3)}(-1)\, \frac{(x+1)^3}{3!} + g^{(4)}(-1)\, \frac{(x+1)^4}{4!} +g^{(5)}(-1)\, \frac{(x+1)^5}{5!}

and when you do its derivative:

1) the constant term renders zero,

2) the following term (term of order 1, the linear term) renders: g'(-1)\,(1) since the derivative of (x+1) is one,

3) all other terms will keep at least one factor (x+1) in their derivative, and this evaluated at x = -1 will render zero

Therefore, the only term that would give you something different from zero once evaluated at x = -1 is the derivative of that linear term. and that only non-zero term is: g'(-1)= 7 as per the information given. Therefore, the function has derivative larger than zero, then it is increasing in the vicinity of x = -1

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Answer:

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Step-by-step explanation:

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