geno3141

You'll need to give some dimensions ...

sin and csc are reciprocals.

So if  csc(A)  =  √3   then  sin(A)  =  1/√3 

2√x  =  x

Square both sides:  ( 2√x  )²  =  x²

                                     4x  =  x²

Solving for x:                    0  =  x² - 4x

Factoring:                         0  =  x(x - 4)

So:          either     x = 0     or     x - 4  =  0

                            x  =  0       or      x  =  4

x² - 12x + c

To find the value of c:

-- since the coefficient of the squared term is 1,

      --  divide the coefficient of the linear term by 2     ( -12 ÷ 2  =  6 )

      --  square this answer                                         ( 6²  =  36 )

So, the value of c is 36

And,  x² - 12x + 36, when factored, is:  (x - 6)²

To calculate the percent discount, divide the amount of discount by the original price and multiply by 100.

Amount of discount =  $55.00                      Original price =  $100.00

Amount of discount / Original price x 100   ===>   $55.00 / $100.00 x 100  =  .55 x 100  =  55%

If, "by better", you mean the cheapest per item:

Apples:    $10.00 / 17  =  $0.59  per apple.        <---  cheapest per item!

Oranges:  $17.00 / 20  =  $0.85  per orange.

                                    4 + m/5  =  -1

Subtract 4 from both sides:  m/5  =  -5

Multiply both sides by 5:          m  =  -25

Sorry, it's not that easy ...

1,000,000  =  10⁶

10,000,000  =  10⁷

Thus, any number between 1,000,000 and 10,000,000, in scientific notation, will end with  " x 10⁶ ".

20log(x)  =  -45        --->      log(x)  =  -2.25

Finding the antilog of both sides:  x  =  10^-2.25  =  0.0056234133...