Answer:
the solution set is -11 > 1 + a?
a > -10
a -12
a < -10
Answer:
x=30° y=150°
Step-by-step explanation:
The inside angles of a triangle always add up to 180. So 65+85+x=180. x would equal 30. Next a line is always 180 degrees. So to two angles on the line must total to 180 degrees. We know x is 30 degrees, so y is the remaining angle. 30 + y = 180. y is 150.
Answer:
see the attached table
Step-by-step explanation:
We assume the formula of interest is ...
residual = (initial amount)(1 -k)^t . . . . . . assuming k is a positive number
Where T is the half-life, this formula can also be expressed as ...
residual = (initial amount)(1/2)^(t/T)
Then the relationship between k and T is ...
(1 -k)^t = (1/2)^(t/T)
or ...
1 -k = (1/2)^(1/T)
This lets us write k in terms of T as ...
k = 1 -(1/2)^(1/T)
and it lets us write T in terms of k as ...
log(1-k) = (1/T)log(1/2)
T = log(1/2)/log(1-k)
__
The attached spreadsheet table implements these formulas to compute T from k and vice versa. Formatting is in % and to four decimal places as required by the problem statement.
The radius of circle is r = 6 cm.
The formula for the circumference of circle is,

For exact circumference take pi = 3.14.
Substitute 6 for r in the formula to determine the circumference of circle.

So exact circumference of circle is 37.68 or 12 pi .
2(2,1)(14,10)
(4,2) - (14,10)= (-10, -8)
The coordinates of K are (-10, -8).