ElectricPavlov

First let's find out how high up Sandra is

Tan 22 = .404

.404 = opp/adj = h₁/200

h₁ =  .404 (200) = 80.8 ft

Now we'll calculate how  high the building is ABOVE Sandra

Tan 36 = .7265

.7265 = opp/adj = h₂/200

h₂   = .7265 (200) = 145.3 ft

Add the tw h's together to get neighboring building height....

209 out of 230 completed   that is   209/230 x 100% = 90.869 %     the rest did NOT complete   100% - 90.8% = 9.13 %

First find out how much is cranberry

1 - 3/4 - 1/10 =  1 - 15/20 - 2/10 =  3/20 is cranberry

then the ratio of c:a:o    is    3/20 : 3/4 : 1/10      coverting to lowest common denominator

                                             3/20   15/20   2/20      then elimnating the denominator

                                             3 :15: 2

Assuming only integer dimensions

The SUM of the heights can be  2 4 6 8 10 12 14....48  50 

    at 50 the sum of the widths is 50   at 52 the sum of the widths is 48  ...this would be a  rectangle we already had with heights of 48

    so 25   

I THINK this is the answer

total socks 26    total black or brown = 10

10/26   for a black or brown sock  x  16/26 for a white sock       10/26 x 16/26 = 160/676 = 40/169     (not positive)

This is just the sine funtion......but 7 times taller

at x = 0     sin = 0           (x,y) = (0,0)

at x = pi/2     sin = 1    7 sinx =7     (x,y) = (pi/2 , 7)

at x = 3pi/2   sin = -1   7 sinx = -7   (x,y) = 3pi/2 , -7 

Egggxlnt!  

Standard form of circle    (x-h)^2 + 9y-k)^2 = r ^2    where (h,k) is the center ....

the DIAMETER is 18    so the radius is 9 INCHES   9 INCHES = 3/4 ft       r^2 = 9/16 

                         now look at the answers that have this part   1st or 3rd one

                       (remember to keep everything in feet    or in inches (feet is easier) )

The CENTER of the circle is now at  (x,y) =   (11, 5 2/3)         because 5 ft 8 in =   5 2/3 ft      (this was given in the Q)

        this will be  (h,k)     which equation fits this  (the first or third)????

This should get you started........ 

Going around in a circle  2 pi    lands you at the same spot you started...... so add or subtract multiples of 2 pi   from  2pi/3   to find which of the answers is coterminal

2 pi   =   6 pi /3              add  or subtract multiples of this from  2 pi/3

2 pi/3  +   6pi/3   = 8 pi/3    is an answer.....  do you see any more?

The amount of salt in the finished product equals the amount of salt from the ingredients

Finished product salt = 40% x 15 qt =   .4 x 15 = 6

20% solution  volume   x        amount of salt     =   .2x

80% solution  volume = 15-x    amount of salt   = .8 (15-x)    added together   = 6

.2x + .8(15-x) = 6

-.6x +12 =6

-.6x = -6

x = 10 qt     amount of 20% solution

15-x =    5 qt = amount of 80% solution