ElectricPavlov

the ladder is the hypotenuse and the side of the building and distance from the building are the legs , so the Pythagorean Theorem applies

9.8^2 = 3^2 + d^2       d = 9.33 m = distance up the side of the building

 if Jost is able to stand most of the way up the ladder    he will be able to reach a bit less than  9.33 + 1.2  + his arm length =~~ 10.5 m

   the top of the window is at    9.8 m  + 1.2 = 11 m  

    it is unlikely Josh will be able to clean to the top of the windows without a tool extension handle of some kind !

Randy rate   1 job  20 minutes   = 1/20

Sandy = 1/30

1/30  + 1/20 = 1/x     x is the minutes for both of them to complete the job

                                       solve for 'x'    then you answer is   sandy time - x    = 30 - x

cos 3x = - sin 3x

let q = 3x

cos q = - sin q

q = 135 degrees           q = 3x        135/3 = 45 degrees = x

(3²)^2x = (3³)^(3x+1)

3^4x = 3^(9x+3)      equate the exponents

4x = 9x+3

5x = -3

x = - 3/5

U means    ' Union'

the upside down U  means 'Intersection'

5 out of (5+3)  = 5/8 is milk

5 /8 x 20 = 12.5   is milk    

   remove 4 liters of mix     remove   5/8 x 4 = 2.5 liters milk

      now there is 10 liters of milk..... now add 4 liters milk    then there is 14 liters of milk

and 6 liters of water

14:6 =    7:3

= sinx cosy + cosxsiny

     1/3  * 1/3   +   sqrt8/3  * sqrt8/3  =   1/9 + 8/9   = 1

Guess I could further say that if   sinx = cosy   the angles are compimentary and add to 90^o       sin (90) = 1

24 m   + 2.8   

The y component of the hit will be     Velocity * sin θ

   This has two unkonowns....were you given the initial velocity of the hit?

    the higher the initial velocity, the smaller the angle theta required  

  y = yo + vo t  - 1/2 a t^2     this will need the y velocity to calculate the time to the point it is 8 ft off of the ground

     then the time found will have to be plugged into           velocity * cos θ   t      to  calculate the fence clearance distance 425 ft