Answer:
Option A.

Step-by-step explanation:
The given sequence in the question is 6,-24,96,-384.......n
and we have to give the recursive formula for this arithmetic sequence.
We can re write the sequence to make it more simpler
6,6(-4),(-24)(-4),(96)(-4).......n terms
Now we can say 
and 
Therefore the recursive formula of the sequence is
Answer:
The exact values of the tangent, secant and cosine of angle theta are, respectively:



Step-by-step explanation:
The components of the unit vector are
and
. Since
, then
and
. By Trigonometry, tangent and secant can be calculated by the following expressions:


Now, the exact values of the tangent, secant and cosine of angle theta are, respectively:



Answer:
66 m²
Step-by-step explanation:
A = ½ (a + b) h
A = ½ (10 + 12) (6)
A = 66
The area is 66 m².
Answer:
56 trees will make 10000 newspapers.
Step-by-step explanation:
Given:
One tree makes approximately 230 newspapers.
Now, for estimating how many newspapers will be made with 56 trees.
By multiplying
trees with
newspapers we get,
.
And, rounding
to one significant number (1 S.F.) is
.
Therefore, 56 trees will make 10000 newspapers.