It can't be simplified, but the decimal form is 0.4.
Conversions aren't bad until you have to deal with the cubed and squared versions of them!! Remember that there are 100 cm in 1 meter. If that be the case, then there are 100cm*100cm*100cm (100cm^3) in m*m*m (1 meter cubed). We will use that in our conversion then:
. The cm^3 cancels out leaving m^3 over m^2 which is what we want. Doing the math now we get
, or
Now, we know the 4th term is 5.... ok... now, what's the
common difference? well, we dunno, but notice, from the 4th to the 13th term, you do have to use it 9 times to hop over to the 13th term, let's say is "d", then
we also know that the 13th term is -1
now, recall above what the 8th term is
Is these 41/2,2/3,1/4,1/2,21/3 The first thing, calculate m.c.m of these denominator
2=2
3=3
4=2.2
12
246/12,8/12,3/12,3/12,6/12,84/12, In order is like this
246/12,84/12,8/12,6/12,3/12
41/2>21/3>2/3>1/2>1/4 0r
1/4<1/2<2/3<21/3<41/2
6. Expand the left side:
Recall the Pythagorean identity,
which leaves us with
Recall the angle sum formula for cosine:
which gets us to where we need to be:
and we're done.
7. A. The formulas you need are
This gives
7. B. Solving for gives
which holds for
where is any integer.
7. C. Factorize as
From here, we have
which hold for
where is any integer.