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 ![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 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 
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! ^-^
