Here is the answer with explanation
Answer:
C.
Step-by-step explanation:
p(x)=sin(x) is an odd function since sin(-x)=-sin(x).
q(x)=cos(x) is an even function since cos(-x)=cos(x).
r(x)=tan(x) is an odd function since tan(-x)=-tan(x).
s(x)=csc(x) is an odd function since csc(-x)=-csc(x).
So the only contender seems to be C.
Let's check. To check we have to plug in (-x) in place of (x) and see if we get the same function back since we are looking for an even function.
Replace (x) with (-x):
since cosine is even; that is cos(-u)=cos(u) where u in this case is 
.
So f is even.
Hello from MrBillDoesMath!
Answer:
-1/16
Discussion:
Rewrite
((1/4 + 1/x)/(4+x)) as
(1/4 + 1/x) * (1/(4+x)) = => put num. over common denom,
( (x+4)/4x) * (1/(4+x)) = => cancel (x+4) from num. and denom.
(1/4x)
So as x ->-4, (1/4x) approaches ( 1/ ( 4 * (-4) ) ) = -1/16
Thank you,
MrB
Start by distributing the - 1/3 which is the same as dividing the entire parentheses by 3 which results in (3x+10)
Hello!
As you can see, 22 is the opposite angle. We are looking for the adjacent angle. Let's just call it x. Using SOH CAH TOA, we see that the tangent is the opposite divided by the adjacent side. Let's use that.
tan54≈1.38
This gives us the equation below.
1.38=22/x
Let's solve this equation for x.
1.38x=22
x=22/1.38
x=15.94
Therefore, the length of the shadow is about 15.94 meters.
I hope this helps!
