The only possibility if a number is not even is that it is odd. Thus, the event would be the product is an odd number.
perimeter = 20 +20 +24 = 64 feet
area = 12^2 + x^2 = 20^2
144 + x^2 = 400
x^2 = 256
x = sqrt(256) = 16 feet
area = 1/2 x 16 x 24 = 192 square feet
cost = 192 x $2 = $384
Answer:
the ratio is 7:17 you can simplify it but doing it this way is easier
follows from the fact that the cosine function is
-periodic, which means
. Roughly speaking, this is the same as saying that a point on a circle is the same as the point you get by completing a full revolution around the circle (i.e. add
to the original point's angle with respect to the horizontal axis).
If you make another complete revolution (so we're effectively adding
) we get the same result:
. This is true for any number of complete revolutions, so that this pattern holds for any even multiple of
added to the argument. Therefore
for any integer
.
Next, because
, it follows that
is also true for any integer
. So we have
The rest follows from considering either case and solving for
.
scale factor =2:3
x=16
y=15
z=18
area scale factor=4:9
volume scale factor =8:27
