Step-by-step explanation:
In figure:
∠PRT+∠RTP+∠TPR=180 
O
 (angle sum property of triangle)
⇒x+(180 
O
 −∠RTQ)+60 
O
 =180 
O
 (linear pair)
⇒x+(180 
O
 −97 
0
 )+60 
o
 =180 
O
 
⇒x=31 
o
 
Now, ∠PRT+∠TRQ+∠QRS=180 
O
 (angle of straight line)
⇒x+48 
o
 +y=180 
O
 
⇒31 
o
 +48 
o
 +y=180 
O
 
⇒y=101 
0
 
        
             
        
        
        
Answer:
8 dollars
Step-by-step explanation:
First, convert the yards to decimals, 1/8 is equivalent to .125, therefore 1 1/8 yards is 1.125
Next, since we know that 1 1/8 yards of fabric is $9, we can divide 9 by 1.125 in order to find the cost of one yard of fabric
9/1.125=8, therefore your final answer is $8 
Don't forget to put units if this is a test question (or practically in any case), the unit in this case is $(dollars)
 
        
             
        
        
        
Answer:
 
 
Step-by-step explanation:
Let's use the definition of the Laplace transform and the identity given:![\mathcal{L}[t \cos 5t]=(-1)F'(s)](https://tex.z-dn.net/?f=%5Cmathcal%7BL%7D%5Bt%20%5Ccos%205t%5D%3D%28-1%29F%27%28s%29) with
 with ![F(s)=\mathcal{L}[\cos 5t]](https://tex.z-dn.net/?f=F%28s%29%3D%5Cmathcal%7BL%7D%5B%5Ccos%205t%5D) .
. 
Now,  . Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that
. Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that  .
.
Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that
  .
.
Solving for F(s) on the last equation,  , then the Laplace transform we were searching is
, then the Laplace transform we were searching is  
 
 
        
             
        
        
        
Answer:
7/10
0.70
Step-by-step explanation:
BETH- 4.30
JOSE- 3.60
4.30 - 3.60 = .70
.70 = 7/10
 
        
             
        
        
        
Answer:
A.) -84
B.) -6
Step-by-step explanation:
I hope I helped! ^-^