Answer:
Y = 90
X = 52
Step-by-step explanation:
Y is on a straight line. The sum of the angles on a straight line is 180.
The only other angle (that is marked) on this straight line, is a 90 degree one. So, <y + 90 = 180.
<y = 90.
Now <x + 38 = 90
so, x = 52
Answer:
Domain: all real values of x
Range: all real values of y
Translation depends on the parent function
If the first function was:
y = cuberoot(x)
Then translation is:
Vertical translation 1 unit downwards
Since the angle 240° 240 ° is in the third quadrant, the reference angle formula is Ar=Ac−180°<span> A r = A c </span>- 180 °<span> .</span>
An alternating series

converges if

is monotonic and

as

. Here

.
Let

. Then

, which is positive for all

, so

is monotonically increasing for

. This would mean

must be a monotonically decreasing sequence over the same interval, and so must

.
Because

is monotonically increasing, but will still always be positive, it follows that

as

.
So,

converges.
Answer:

Step-by-step explanation:
Let x represent height of the prism.
We know that volume of rectangular is equal to product of its height, width and length.
, where w, h and l represents width, length and height respectively.
We have been given that the surface area of rectangular prism is equal to the volume of the prism. So we can set an equation as:

We are also told that the measurements of the rectangular prism is 9 inches long and 4 inches wide. Upon substituting these values in above equation, we will get:

Let us solve for x.






Therefore, the value of x is 7.2 inches.