Answer:
Step-by-step explanation:
the sum of angles in a triangle is 180 degrees
18 + 72 + X = 180
90 + X = 180
X = 180 -90
X = 90
Answer:
See below.
Step-by-step explanation:
1)
So we have the limit:

This is equivalent to:

To solve, we can use the following property:

Therefore, our limit is the same as:

We are already given that the limit as x approaches 4 of g(x) is -2. Therefore:

You simply need to evaluate this to solve the limit. I don't have enough information to solve this, so maybe you have something more.
Similarly, for the second one:
2)
We have:

Using the same property:

And we are told that this is 16, so:

And we just need to evaluate this to find the limit.
I hope you find this helpful!
I'll assume that what was meant was

.
The exponent in the funny place is just an abbreviation:

.
I hope that's what you meant. Let me know if I'm wrong.
Let's start from the old saw

Squaring both sides,



So now the original question

becomes


Now we use the sine double angle formula

We square it to see

Taking the square root,

Not sure how you want it; we'll do it in degrees.
When we know the sine of an angle, there's usually two angles on the unit circle that have that sine. They're supplementary angles which add to

. But when the sine is 1 or -1 like it is here, we're looking at

and

, which are essentially their own supplements, slightly less messy.
That means we have two equations:


integer


or



We can combine those for a final answer,

integer

Check. Let's just check one, how about




The answer is 8,372 for the final.
To find the area og a trapezoid: (base 1+ Base 2)h divided by 2