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Similar to the other water pumping problem

Mass of 1000 liters of water = 1000 kg

F = mg   =   1000 kg * 9.81 m/s² = 9810 N

W = F * d = 9810 N * 20 m = 196200 j

Power = work /time = 196200j / 60 sec = 3270 watts

50% efficient means 50% is wasted..... it will take twice as much power to pump the water =   2 * 3270 = 6540 watts

80% efficient  :    3270 / .8 = 4087.5 watts

Leg  of right triangle  =  L

Using the Pythagorean Theorem

2^2  = 2L^2

4 = 2L^2

2 = L^2

sqrt (2)  =  L

Area of right  triangle =   L^2  / 2   =   (sqrt 2)^2   2  =  2  / 2    =  1

Total area    1  + (1 * 2)  =   3

Area of triangle  / Area of Pentagon  =   1 / 3  =  33%

12 gms / 6.023 * 10 ²³ atoms    =    1.99 x 10^-23    gram per atom

2.5 cubic meters of water has a mass of    2500 kg

Force = mg =  2500 kg   *  9.81 m/s^2  = 24525 N

work = f * d   =   24525 N * 12.5 m = 306562.5 j

power = work / time     =   306562.5 j / 30 sec      watts

First one  

Total paid = 4 (7.05)  =   28.20

This  is  the  same  price   as  3 paid tickets and a  free one

So.....the  normal price would  be    28.20  / 3  =  9.40

Second  one

a   -17   - 13

b   25 - (-37)

c   you  should be able to do this one

a      31     50

b      Working backwards

           3rd   term =  33  - 19   =   14

           2nd term =    19  - 14   =   5

           1st term  =  14  -  5   =  9  

c   

1st term  =  n -  m

4th term =  m + n

5th term  =   n + ( m + n)  =   m + 2n

work = force x distance

work = 750 x 15   j

here is the scren shot

Thanks 

Can you send the Equation or the screenshot?

3x + 2/x - 4 = 2x + 18 - 7 + 1/x

3x - 2x + 2/x - 1/x = 4 + 18 - 7

x  + 1/x = 4 + 18 - 7

x + 1/x = 15

Area  of original circle =  pi * 40^2  =  1600pi  m^2

1/2 of this  = 800 pi  m^2

So

800 pi =  pi ( 40 - x)^2

800 = (40 - x)^2              take the positive root

sqrt (800)  =  40 - x              simplify

20sqrt (2)  =  40 - x           rearrange  as

x  = 40  - 20sqrt (2)   =  20  [  2 - sqrt (2) ]  m  ≈  11.7  m

We  have  the following relationship

(1/2) hypotenuse length  / 8   =  8 / ( 1/2) hypotenuse length

cross-multiply

[(1/2) hypoenuse  length] ^2  = 8 * 8

 [(1/2) hypotenuse ]^2  =  64         take  the  sqrt  of both sides

(1/2) hypotenuse length  =  8

Area  =  (1/2) hypotenuse length * altitude =   8 * 8  =   64

You will have to have the height of the helicopter to solve this....but you didnt supply that info in your post ! 

   if your answer 5880 m is correct, then the helicopter is approx 5897 m high ?   Yes?

nerd

See the following :

We can  split the  area  into  two figures

Triangle BCD  with  a height  of 3 and a  base of 5

Area  =  (3 * 5)  / 2    =  7.5

Trapezoid ABDE  with a height of 5  and bases of 8 and 5

Area = (1/2) (5) ( 5 + 8)  =  65/2   = 32.5

Total area  =  ( 7.5  + 32.5)  =  40

1/2  of the base length =   6 /sqrt (3)

Area  =  6 /sqrt (3)  * 6   =  36 / sqrt (3)   =  12 sqrt (3) units^2

Circle-insribed angles intercept an arc which is twice as big as the angle    so QRS = 57*2 = 114

    then arc SPQ = 360 - 114 = 246 degrees     this arc is intercepted by angle QRS and is TWICE the angle QRS

        and then angle QRS =   1/2  * 246 = 123 degrees

A carpenter builds a rectangular bookcase that is 40 inches long and 55 inches tall. The carpenter uses two braces along the diagonals to support the bookcase.      

If you draw this, or just picture it in your mind, you recognize that the diagonal brace forms the hypotenuse of a right triangle whose legs are 40 inches and 55 inches.  So, it's possible just to use Pythagoras' Theorem.  

Call the 40 inch side as "a"     Call the 55 inch side as "b"     Call the brace (hypotenuse) as "c"   

By the theorem, a² + b²  =  c²   

So                      c²  =  40² + 55² 

                          c²  =  1600 + 3025  =  4625   

                          c   =  sqrt(4625)   

                          c   =  +68.007   

Thus, the length of each brace is 68 inches   

_.

1:24    means there is   1 out of (1+24 =25)    or  1/25 saline in the first dilution

then mix this 1/25     in a ratio of 1:3     meaning   1/4    of     1/25   is now saline =  1/100 is saline

1/100th of 200 =  1/100   * 200 = 2 ml saline in 200 ml of the twice diluted mix .

The braces are the hypotenuse of a right triangle with legs of 40 and 55 in

brace² = 40²  + 55²

brace =~~ 68 in

80  x 80  =  6400 m^2

40 x  40  =  1600 m^2

1600  / 6400  =  1/4  hr  =  15 min

If it  loses 3%  of  its value  every year, it is  worth  onl 97% of its value from the previous year.....so....

100  =  500 (.97)^N            divide  both sides  by  500

1/5  = .97^N                      take the log of both sides

log (1/5) =  log .97^N           and we can write

log (1/5) = N * log .97           divide both sides by log .97

log (1/5)  /log .97  = N ≈   52.8   ≈  53    years

Perfect squares  < 1000

0 , 1, 4 , 9 , 16 , 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256. 289, 324, 361, 400. 441. 484, 529. 576, 625, 676, 729, 784, 841, 900, 961

There are 32  perfect squares < 1000

6  end  in a "6"

So

6  / 32 = 3/ 16   = 18.75 %