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diameter =   sqrt   ( 6- -2)^2  + (2-5)^2   )   

                = sqrt (8^2 + (-3)^2 )

                = sqrt (64 + 9 )

                  = sqrt 73

radius = sqrt 73   /2         r^2 =  73/4

Since the question only pertains to those who actually participated in the survery, you can add upp the two groups and then divide the number of people who choose zoo by the total number of participants. Multiply the answer by one hundred to get the percentage rather than fraction (this isn't necesarrily required just easier to read out for most)

X=100*(28/(28+33))
X= 45.9%

If the question was how many people chose zoo out of all the people, even those who didn't participate you simply do 100*(28/70)=40%

Cheers!


Edit: Paranthesis

Hi, can you please set up the diameter equation for me so I can solve it because I think I keep doing it wrong somehow

Find the diameter     sqrt (x1-x2)^2  + (y1-y2)^2  )       1/2 of this is r    the radius

Find the MIDPOINT ....this will be the center   (h,k)

    from 6 to -2 is  8 units     midpoint will be 4 units from either end    at       2

    from 2 to 5   is 3 units      midpoint will be  1 1/2 from either end  at      3 1/2      so (h.k) = (2, 3 1/2)

Standard form of a circle is

(x-h)^2 + (y-k)^2 = r^2       You now have all of the building parts....put it together and    done.

Assuming there are no birth defects

  kittens have 4 legs   and 1 head         4k    and     k     is kitten heads

Chickens have 2 legs    2c = chicken legs   c = chicken heads

4k + 2c = 46

k+c = 16                   two equations and two unknowns

Multiply second equation by -2

-2k - 2c = -32       and add it to the forst equation

to get

2k = 14

k = 7       then        k+ c = 16   means   c = 9  

7pi/6     is in the 2nd quadrant....   x will be negative and y will be positive....That should be enough of a clue !  

2+2*84+600-600+6220+00 = 6390

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 %

Which angles are coterminal with an angle measure of  2π/3 ?

  2π/3 - 2π = 2π/3 - 6π/3 = - 4π/3                  -4π/3 -2π = -4π/3 - 6π/3  = - 10π/3                 

  2π/3 + 2π = 2π/3 + 6π/3 = 8π/3            

Here's a link where you can learn the basic about coterminal positive and negative angles.

https://www.chino.k12.ca.us/site/handlers/filedownload.ashx?moduleinstanceid=5575&dataid=2608&FileName=NOTES%20COTERMINAL%20ANGLES.pdf

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 

thank uuuuu!

Egggxlnt!  

In triangle PQR, PQ=15 and QR=25 The circumcircle of triangle PQR is constructed.
The tangent to the circumcircle at Q is drawn, and the line through P parallel to this tangent intersects QR at S.
Find RS

General solution:

\(\text{Let $Center$ is the center of the circle }\\ \text{Let $P-Center =T-Center=v$ }\\ \text{Let $S-Center =w$ }\\ \text{Let $T-Center =w+k=v\qquad k=v-w$ }\\ \text{Let $ST = k =v-w$ }\\ \text{Let $PS = v+w$ }\\ \text{Let $RS = x$ }\\ \text{Let $QS = 25-x$ }\\ \text{Let $Q-Center = u $ }\)

Intersecting chords theorem:

\(\begin{array}{|rcll|} \hline RS*QS &=& ST*PS \\ x*(25-x) &=& (v-w)*(v+w) \\ \mathbf{x*(25-x)} &=& \mathbf{v^2-w^2} & (1) \\ \hline \end{array}\)

Pythagoras:

\(\begin{array}{|lrcll|} \hline & v^2+u^2 &=& 15^2 & (2) \\ & w^2+u^2 &=& (25-x)^2 & (3) \\ \hline (2)-(3): & v^2 -w^2 &=& 15^2-(25-x)^2 \quad | \quad \mathbf{x*(25-x)=v^2-w^2} \\ & x*(25-x) &=& 15^2-(25-x)^2 \\ &25x-x^2 &=& 15^2 -(25^2-50x+x^2) \\ &25x-x^2 &=& 15^2 -25^2+50x-x^2 \\ &25x &=& 15^2 -25^2+50x \\ &25^2-15^2 &=& 25x \\ & 25x &=& 25^2-15^2 \\ & 25x &=& 400 \quad |\quad :25 \\ & \mathbf{x} &=& \mathbf{16} \\ \hline \end{array}\)

Hi Melody: Your question to the poster is spot on! I think this question is meant as computer coding assignment. There is, however, a specific formula, from Mathworld, that is formulated just for this kind of problem and it comes from this link: http://mathworld.wolfram.com/Dice.html [Equation 10]. We can use it to calculate the totals of 6 primes in question and sum them up. Here is the formula in question:                S=17; N=7; sumfor(k, 0, ((S - N)/6), ((-1)^k * (N nCr k) * (S - 6*k - 1) nCr (N - 1))

Alan: I'm even more ignorant as to how this formula was derived in the first place, to specifically compute dice sums!!.

17 = 6,538, 19 =12,117, 23 =22,967, 29 =15,267, 31 =9,142, 37 = 462.
GRAND TOTAL =6,538 + 12,117 + 22,967 +15,267 + 9,142 + 462 =  66,493 / 6^7 = 23.75 % probability of getting a prime number.

i think this is all?

https://prnt.sc/qp6ued

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 sum of the solutions is 1/10.

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

Price you pay is : 399.99 - 50%  =   399 x .5  =

40% off means you pay 60% of original      then 20 % more off means you py 80% of THAT price

Price you pay is  :   399.99 x  .6   x .8   =        You can do the calcs and see which is better   (they are close to the same)

40 m/hr    x   5280 ft/ m   x  1hr /3600 s   =  ~~59 f/s