Answer:
The y-axis.
Step-by-step explanation:
Answer:
Steps to simplifying fractions
Therefore, 9/9 simplified to lowest terms is 1/1.
Reduce 9/8 to lowest terms
9/8 is already in the simplest form. It can be written as 1.125 in decimal form (rounded to 6 decimal places).Step-by-step explanation:
Answer:
Arccos(0.9272) =0.383929333 radian
0.383929333 radian =(0.383929333*57.2957795)degrees
so, 21.99 degrees
Step-by-step explanation:
Rounding to the nearest we get 22 degrees
We know that,
1 radian is equal to 57.2957795
so we multiply the radian value 0.383929333 with it
Answer:

Step-by-step explanation:
We are given that a function

We have to find the average value of function on the given interval [1,e]
Average value of function on interval [a,b] is given by

Using the formula

By Parts integration formula

u=ln x and v=dx
Apply by parts integration
![f_{avg}=\frac{1}{e-1}([xlnx]^{e}_{1}-\int_{1}^{e}(\frac{1}{x}\times xdx))](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7Be-1%7D%28%5Bxlnx%5D%5E%7Be%7D_%7B1%7D-%5Cint_%7B1%7D%5E%7Be%7D%28%5Cfrac%7B1%7D%7Bx%7D%5Ctimes%20xdx%29%29)
![f_{avg}=\frac{1}{e-1}(elne-ln1-[x]^{e}_{1})](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7Be-1%7D%28elne-ln1-%5Bx%5D%5E%7Be%7D_%7B1%7D%29)

By using property lne=1,ln 1=0

Answer:

Step-by-step explanation:
let length of calble = L
distance from 10-foot pole = x ft
Moving from the top of the 10-foot pole to point x, we have
From the diagram that

Take the square root of both sides

Moving from point x to the top of the 12-foot pole, we have
From the diagram that

Take the square root of both sides

Amount of cable used, L = L1 + L2
