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Ainat [17]
3 years ago
15

What is the volume. Round to the nearest hundredth if necessary.

Mathematics
1 answer:
PtichkaEL [24]3 years ago
6 0

Answer:

\pi\cdot25\cdot\frac{12}{3} = 314.1592654

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How do I solve this equation and check the solutions?
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<h3>SOLUTION :-</h3>
  • <u>By squaring on both sides :</u>

: \implies  \sf {\big( \sqrt{20 - 8x}  \:\big)}^{2}  = x^2 \\   \\

:\implies  \sf {20 - 8x}  =  {x}^{2}  \\  \\

  • <u>Solving quadratic equation :</u>

: \implies\sf{ {x}^{2} + 8x  - 20 = 0 }   \\  \\

: \implies\sf{ {x}^{2} + (10 - 2)x -  20 = 0 }   \\  \\

: \implies\sf{ {x}^{2} + 10x - 2x -  20 = 0 }   \\  \\

: \implies\sf{ x(x + 10) - 2(x  + 10 )= 0 }   \\  \\

:\implies\sf{( x + 10 )(x - 2)= 0 } \\  \\

: \implies\sf x + 10 = 0 \:  or \: x  - 2 = 0 \\  \\

: \implies\sf x  = 0  - 10\:  or \: x  = 0  + 2\\  \\

: \implies  \underline{\boxed{ \bf{x = - 10 \: or \: x = 2}}}

\huge {\therefore} The roots of this equation are -10 and 2.

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1. the belief in one god.

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