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Shakspearian English I see...

aye, good sir

And do you always talk like this for fun...

If each dimension is increased by 20% that is a 1.2*1.2= 1.44= 44% area increase.

I have answered thine question your welcometh thee

Hope it helps!

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 Welcome

Yeah, that helped a LOT. Thanks again for your work! :D Have a great day! (x2 even more powerful)

No prob  !!!!

Let burgers be b and hotdogs be h. 2b+2h= $15.56 and 3b+5h= $29.92 

Solving the system of equations, we get b+h= $7.78 which means that 3b+3h= $23.34...we subtract this from the second equation and get 

3b+5h-(3b+3h)= $29.92- $23.34

2h= $6.58

Dividing by 2 we get hotdogs to cost $3.29

If we have this cost then we can find the cost of burgers by doing b+ $3.29= $7.78

Solving for b we get b= $4.49 so burgers cost $4.49.

Hope it helps!

Note  that  the  small  cone formed  by the water  is similar to the  larger cone

The scale  factor  for the small cone to the large cone =   2 / 6  =  1/3

The  fraction of the  volume of the cone when  filled to 2 in = scale factor^3 =  (1/3)^3  =  1/27

The fast way to do it is to realize that the ratio of corresponding side lengths is 1 to 3. The ratio of volumes of similar shapes is ration of sides cubed. So the ratio of the volumes would be 1^3 to 3^3 or 1 to 27.

So if the large cone has a volume of 648pi, then 648pi/27= 24pi. This is a neat trick to know and works with area as well.

Hope it helps!

The water will reach a height of 2 inches creating a similar cone. Since the ratio of the height of the smaller to the larger cone is 2:6 or 1:3, that means that the radius of the cones are in a ratio of 1:3 meaing the smaller cone has a radius of 6. Knowing this, the volume of a cone is 1/3Bh, where B is area of base and h is the height so we get 1/3*36pi*2= 24 pi.

Hope it helps!

BTW.....good to see you, GM  !!!!

LOL!!!!!!!

Good job  !!!!

Set up the equation b^2+6b+1+b^2+3b+4= 3b^2+b+5 and solve for b.

Simplifying the equation we get b^2-8b=0 so b= 8. 

Hope it helps!

Note  that  we  have  the points   (8,12)    and (53,22)

One leg  = ( 53 - 8)  =   45

The other  =  (22 - 12)  =  10

Proof

By the Pythagorean Theorem......PQ =  sqrt  [ 45^2 + 10^2 ]

And using the distance formula PQ   =sqrt [ (53 - 8)^2  + ( 22 - 12)^]  =  sqrt [ 45^2  + 10^2]

And  the  distance  PQ  is  =   sqrt   [ 2125]  ≈  46.1  units

Long leg   is   53-8      short leg   is    22-12  

If your salary was increase 16% to equal $55,680, we can set up the equation where x is your salary before the increase 1.16x= $55680, solving for x we get $48,000. 

Here is thy answereth. xD

Hope it helps!

1.16 x = 55680      solve for 'x'

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You're welcome   !!!

Floor function of sqrt 1= 1

Floor function of sqrt 2= 1

Floor function of sqrt 3= 1

Floor function of sqrt 4= 2

Floor function of sqrt 5= 2

Floor function of sqrt 6= 2

Floor function of sqrt 7= 2

Floor function of sqrt 8= 2

...

Floor function of sqrt 19= 4

3 * 1+ 5 * 2+ 7 * 3+ 4 * 4=50.

Hope it helps!

Blueprint diameter  =  18 cm

3cm  =  4 ft

So

18 cm = 24 ft  = actual diameter

So  12 ft is  the actual radius

So....area =   pi (12)^2   ≈  452.39 ft^2