This is easy. The formula for the sum of a set of consecutive numbers is, when starting from one, (1+n)n/2. Here n equals 200. 200*201/2=100*201=20100
the sum of the angles in a pentagon is 540. let the measure of the smallest angle be x.
x+x+d+x+2d+x+3d+x+4d=540. x+4d-x=44. 4d=44. d=11. 5x+10d=540. x+2d=108. x+22-108. x=86
there are 10 ways I believe.
so actually, the answer is 17
oh c**p you're right. I forgot about that.
ok, now I know. its the sum of 2 geometric series: (1/7+1/7^3+1/7^5...) + (2/7^2+2/7^4+2/7^6...)
the first part is equal to 7/48, the second part is equal to 2/48, and they add to 9/48, which is 3/16.
argh, still don't know how to do this!
oh, to start on the first one, name the 6 students Anne, Bethany, Cass, David, Evelyn, and Frank. then, just try out different groups of students
im not super sure how to do the first one,
but to start on the second one: 0.93x=43100. x=46344.0860215, which is about $46,344
so, 0 is a whole number
so 6 ways
for the first one, it is 3*5=15
for the second one, it is 3*5*7=105
or even easier, you could just use the pythagorean theorem: AB=sqrt(4^2-2^2)=sqrt12=2sqrt3
yes, but 98.25*3 is much easier, and you can round from 294.75 to 295.
I like the second way better.
x+4x=180. 5x=180. x=36.
Then using knowledge that the number of sides of a regular polygon is equal to 360/exterior angle measure, we see that 360/36=10, so there are 10 sides
oops didn't see the post before that
i think there are 14 ways
cormier is right. the weird absolute value thing is NOT absolute value, it represents the greatest integer less than or equal to x. so yeah, thus x would be 8.75
i believe the 2 players are included in the 7 people, so the answer would be 7
if the 2 players weren't included, then the answer would be 5
which is 29.93 m^2, electrivpavlov