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pogonyaev
3 years ago
9

Tamara needs to buy motor oil to fill the 3 empty cylindrical barrels at her oil service center. Each barrel is 7 ft deep and ha

s a radius of 4 ft. What is the volume of oil needed? Use Test Image = 3.14.
Mathematics
1 answer:
aev [14]3 years ago
7 0
The total volume of the three cylinders is given by:
 V = (3) * (pi) * (r ^ 2) * (d)
 Where,
 r: cylinder radius
 d: cylinder depth
 Substituting values we have:
 V = (3) * (3.14) * (4 ^ 2) * (7)
 V = 1055.04 feet ^ 3
 Answer:
 the volume of oil needed is:
 V = 1055.04 feet ^ 3
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Answer:

Formular for coordinate length:

length =  \sqrt{ {(x_{1}  - x _{2} )}^{2}  +  {(y_{1}  - y_{2})}^{2} }

In considerance of coordinates given of A and B

x _{1} \: \:  is \:  \: 2 \\ x_{2} \:  \: is \:  \:  - 2 \\ y_{1}  \: \: is \:  \: 3 \\ y_{2} \:  \: is \: \:  0

therefore substitute:

length =  \sqrt{ { \{2 - ( - 2) \}}^{2}  +  {(3 - 0)}^{2} }  \\  \\  =  \sqrt{ {(2 + 2)}^{2} +  {3}^{2}  }  \\  =  \sqrt{ {4}^{2} +  {3}^{2}  }  \\  =  \sqrt{16 + 9}  \\  =  \sqrt{25}  \\  \\ { \boxed{ \boxed{length  \:  \: is \:  \: 5 \: units}}}

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

NA = √[(- 4 - 1 )² + (- 3 - 2)²] = 5√2

AT = √[(8 - 1 )² + (1 - 2)²] = 5√2

TS = √[(3 - 8 )² + (- 4 - 1)²] = 5√2

NS = √[(- 4 - 3 )² + (- 3 + 4)²] = 5√2

NA = AT = TS = NS = 5√2

m_{NA} = (- 3 - 2) / (- 4 - 1) = 1 ........ <em>(1)</em>

m_{TS} = (- 4 - 1) / (3 - 8 ) = 1 ......... <em>(2)</em>

From (1) and (2) ⇒ NA║TS

m_{AT} = ( 1 - 2) / ( 8 - 1) = - 1 / 7 .......... <em>(3)</em>

m_{NS} = ( - 4 + 3) / ( 3 + 4) = - 1 / 7 .... <em>(4)</em>

From (3) and (4) ⇒ AT║NS

Thus, NATS is rhombus.

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