A quarter past two means 2:15. So if it took her 25 minutes to get there, the latest she could leave would be 1:50.
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
The first thing that you have to do is line it up from least to greatest: 98,104,104,105,111,117,120,121. Then you add all of the numbers and divide the total of all the number of scores she has. 880/8=110. 110 is the answer of your question. ( I got 8 because I had to count all the numbers and I got 880 because I added all the numbers).
a. Parameterize
by

with
.
b/c. The line integral of
over
is




d. Notice that we can write the line integral as

By Green's theorem, the line integral is equivalent to

where
is the triangle bounded by
, and this integral is simply twice the area of
.
is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.