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It's always better to draw the diagram first.

The answer is sixty-degrees.

I get a little different result  from tertre

Note  that   the

10th person    shakes  9  hands

9th person      shakes  8  hands

8th person      shakes  7  hands

   .....

2nd person     shakes  1   hand

So.....the  number of handshakes  seems just to be  the  sum of the  first 9 positive integers =

9 * 10  / 2    =     45 handshakes 

Correct!

Hint:

The common denominator will be 60.

Hope this helps!

The place values can be anything, anything, odd

7*7*4=196 odd-five digit numbers.

OK, Mathisgood   !!!

Thx, tertre...answer corrected  !!!

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the common difference is five.

-33+5(y)=57

5y=90

y=18

1+18=19 terms in the sequence.

Note that it states  "thousand" not "thousandths"

Thank you CPhill

I'M Sso sorryyyyy

it should be 20*5=100

sorry again

Note  that the  area  of  the red region is  just the area  of the larger circle - area of the smaler circle  = 

(8.01^2 - 4.02^2) pi  

So.....the probability  that  a point fals into the red  area  =  

red area  /  area of large circle  =     

(8.01^2 - 4.02^2) pi                 8.01^2  - 4.02^2

________________  =          ______________   ≈   .748 =   74.8  % 

     8.01^2 pi                                 8.01^2

Find a common denominator for the fractions and then compare them. 

40-12=28 people had to like some flavor.

Let y be the people who like both...

Thus, we have

(18-y)+(15-y)+y=28

33-y=28

y=5

Thus, there are five(5) students in the classroom who liked both apple pie and chocolate cake.

All ten people shake hands with everyone except his/jher spouse and themseves.

Since there are 10 people(five(5) married couples), the answer should be 10 * 8  /  2  = 40 handshakes were exchanged,

Note that dividing by two cleared the overcounting of the handshakes.

Not quite

500^2  - pi (250)^2   =   

366850. 275  m^2 =    367000 to the nearest thousand

The probability is 4/6=2/3  (number of blue faces)/(number of total faces).

Since the lines intersect, we can set solve for x and y using systems of equations.

3x=4y+7

y=2/5x

3x=8/5x+7

7/5x=7

x=5

y=2

Thus, (5,2)=5+2=7.

The measure of the interior angle of any polygon is \((180(n-2))/n\) For a decagon, it is 144 and for a pentagon, it is 108. The difference is 36 degrees.