Answer:
a8 = 0.004
Step-by-step explanation:
Q is abt a geometric series given by the eqn: an = a1*r^(n-1)
given a1 = 40000, r = 0.1
an = 40000*(0.1)^(n-1)
a8 = 40000*(0.1)^(8-1)
= 40000*(0.1)^7
= 0.004
N an acute angle is 90 degrees or less and 90 + 90 is 180 and an obtuse angle is always more than 90 and always less than 180
There would be 12 people at the party!
In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.
Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.
This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.
Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.
Hope this helps!
The standard form of a circle is
where h and k are the center and x and y are the coordinates you're given. We need to solve for the radius to finish this off correctly. Filling in, we have
and
, giving us that
. Therefore, our equation is
