a cross-section is taken parallel to the bases of a general cylinder and has an area of 18. If the height of the cylinder is H, what is the volume of the cylinder? Explain your reasoning.

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Answer 1
Answer: ∵ the cross-section is parallel to the bases of the cylinder, then it is congruent to the bases thus, the area of the base of the cylinder is 18.
The volume of a general cylinder is the product of the area of the cylinder’s base times the height of the cylinder,
So the volume of the general cylinder is = 18 H


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First of all, your second term is already wrong.  When you divided  8x²  by  4 ,
you should have written  2x² , not  4x² .

Make that correction, and then divide the whole thing by  'x'.

Then you'll have    x² - 2x + 1 = 0 .

You should have no trouble solving that one,
(especially since it's a perfect square)

That gives you two (equal) solutions.  But you should also ask yourself:
"Self !  Where is the third solution ?  A cubic equation like the original
one needs three solutions."

I'll give you that one:
Look over the original equation, and look at what happens to it when  x = 0 . 
Then the left side becomes zero, and the equation is  0 = 0 .  Since that's a
true statement, " x = 0 "  is another solution of the cubic equation, and now
you have all three of them.
divide both sides by 4x:
x^2-2x+1=0
You can either factor, complete the square, or use the quadratic formula.
I'll factor this into (x-1)(x-1)=0
x-1=0, so x=1

Sins = 8x2 and = 2x + a find 5- o

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(f × g ) (w)          (Please note that I have used w in place of x)
∴((8w²) × (2w+8) × w
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   16w^(4) × 64w³
   1024w^(7) 

terrence finished a word search in 3/4 the time it took frank. charlotte finished the word search in2/3 the time it took terrence.frank finished the word search in 32 min. how long did it take charlotte to finish the word search

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yeah i think the answer could be ;

     2/3 of the time it took Terrence to finish the word search

   time for Terrence; 3/4*32 = 24 min

   time for Charlotte;  2/3*24= 16 min
  
  therefore it took Charlotte 16 min to finish the word.....thx

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What number divided by 2 will give 12 as quotient

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