(-2-2i)(-4+6i)
=8-12i+8i-12i^2
=8-4i-12i^2
=4(2-i-3i^2)
=4((i-1)(3i+2))
=4(i-1)(3i+2)
The answer is 67
Add all the sides up and you get 67
The sum of the interior angles of a pentagon is 540 degrees. We find the measure of the fifth angle by summing up the four angles given and subtracting this to the total sum. We calculate as follows:
Fifth angle = 540 - (40+80+115+165) = 140 degrees
Hope this answers the question.
Do do this problem, you need to use the Law of Cosines!
You are trying to find length b, so
b^2 = a^2 + c^2 - 2ab cos B
b^2 = 22^2 + 28^2 - 2(22)(28) cos 34
b^2 = 484 + 784 - 1232 cos 34
b^2 = 1268 - 1232 cos 34
b^2 = 246.6257
b = 15.7 yards
Hope this helps!
ANSWER
$16,384
EXPLANATION
From the question we have that,
Nadir saves $1 the first day of a month, $2 the second day, $4 the third day, and so on.
This forms a geometric sequence,

The first term of this sequence is

The common ratio is

The general term of a geometric sequence is given by the formula:

To find the 15th term, we plug in a=1, r=2 and n=15.



The amount he will save on the 15th day is $16,384