by the double angle identity for sine. Move everything to one side and factor out the cosine term.
Now the zero product property tells us that there are two cases where this is true,
In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of
, so
where
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which occurs twice in the interval
for
and
. More generally, if you think of
as a point on the unit circle, this occurs whenever
also completes a full revolution about the origin. This means for any integer
, the general solution in this case would be
and
.
$1.75 + $0.25x <span>≤ $15; x < 53
So the first one. Because you must pay the flat fee, and then for x miles you must pay $0.25. When you do (15-1.75) / 0.25 the answer is 53.</span>
Answer:
6/5 miles per hour or 1.2 miles per hour
Step-by-step explanation:
If Natalie walked 3/5 miles in 1/2 hour, then in 1 hour she would have walker 6/5 miles(3/5 * 2). You can write 6/5 as 1.2 (6 divided by 5). Thus, Natalie walked 1.2 miles per hour
Let
be the amount of parts the student answered correctly. Suppose that
is a function between
and the score of a student's project. As the student initially receives a fixed
points for turning the project in and
points for each correct part, the function is initially:
When the students receive
points for each correct part, the coefficient of
changes, as the amount of points received per correct answer increases. Thus:
.
Step-by-step explanation:
Set M = {20,22,24,26,28,30,32,34}
n(M) = no. of elements in set M
i.e.
n(M) = 8
