Answer:

Step-by-step explanation:
This limit can be written as follows

Direct substitution means that we substitute in the value for x to get our limit

We are given that the angle a is the right angle. So let
us work from this.
ab = 12 (the vertical side of the triangle)
bc = 13 (which if drawn can be clearly observed to be the
hypotenuse) = the side opposite to angle a
ca = 5 (the horizontal side of the triangle)
Since we are to find for the cosine ratio of angle c or
angle θ, therefore:
cos θ = adjacent side / hypotenuse
cos θ = ca / bc
cos θ = 5 / 13
Check out the attached image below for the illustration
of the triangle.
Answer:

Step-by-step explanation:
ΔJKL ~ ΔMNP
So, the sides of both of the triangles are proportional.
Taking proportionality of their sides.

=> 
Cross Multiplying
20 * 30 = 25(4x-4)
600 = 100x - 100
Adding 100 to both sides
600+100 = 120x
700 = 100x
Dividing both sides by 100
700/100 = x
x = 7
I believe she would need to stain 548 inches of the surface.
Excluding the top and bottom, you are left with two panels that are 10 by 7.4, and two panels that are10 by 20, so
10•7.4= 74•2 =148
10•20= 200•2 =400
148 + 400= 548
Please correct me if I am wrong, have a good day!
Answer:
y=4sin[2(x-π/2)]-6
Step-by-step explanation:
/ means over for a fraction
hope i did this right