Answer:
Step-by-step explanation:
a. sin^-1(sin theta) = theta
(1/sin)(sin theta) = theta
<em>the sines cross out</em> theta = theta
b. cos(cos^-1x) = x
cos(x/cos) = x
<em>the cosines cross out </em>x = x
I believe the answer is D. because -12 + -1 equal -13
Here's how to do this problem:
6+ x= 55
-6 -6
x=49
Answer: The missing length is 120 {option C}
Step-by-step explanation: What we have in the question is a triangle placed on top of another triangle and as shown in the attached diagram we can separate them into triangles BFC and GFH.
A close observation shows that line BC is parallel to line GH. Hence we have two similar triangles, and we can determine their similarity ratios as follows;
BF/FC = GF/FH
Similarly BF/BC = GF/GH
We can also express the following ratio
FC/FH = BC/GH
Therefore to calculate the missing side, which is GF, we can use the ratio
FC/FH = FB/FG
30/100 = 36/FG
By cross multiplication we now have 30 (FG) = 100 (36)
30FG = 3600
Divide both sides of the equation by 30
FG = 120
Answer:

Step-by-step explanation:
First, notice that:



We proceed to use the chain rule to find
using the fact that
to find their derivatives:

Because we know
then:
We substitute in what we had:

Now we put in the values
in the formula:

Because of what we supposed:

And we operate to discover that:


and this will be our answer