Answer:

Step-by-step explanation:
Let Kat reads k pages of the book.
Miguel reads 5 times as many  pages of the book as Kat. So,
m = 5k ...(1)
Together they read 54 pages. i.e.
m+k = 54 ...(2)
From equation (1),

Hence, the equation that can be used to find how many pages Kat read is equal to  .
.
 
        
             
        
        
        
Answer:
100 degrees
Step-by-step explanation:
It's going through 140 and 40, 180 - 40 = 140
180 cause a flat line is 180 degrees
 
        
                    
             
        
        
        
First, rewrite the equation so that <em>y</em> is a function of <em>x</em> :

(If you were to plot the actual curve, you would have both  and
 and  , but one curve is a reflection of the other, so the arc length for 1 ≤ <em>x</em> ≤ 8 would be the same on both curves. It doesn't matter which "half-curve" you choose to work with.)
, but one curve is a reflection of the other, so the arc length for 1 ≤ <em>x</em> ≤ 8 would be the same on both curves. It doesn't matter which "half-curve" you choose to work with.)
The arc length is then given by the definite integral,

We have

Then in the integral,

Substitute

This transforms the integral to

and computing it is trivial:

We can simplify this further to

 
        
             
        
        
        
5-10(|0.8-3/6|)
5-10(|1/5|)
5-(10)(0.2)
5-2
=3, so C would be your best answer.