Draw a right triangle ABC, with m(CAB)=∅.
Let CB=7 units, AC=8 units, so by the Pythagorean theorem:

(units)
so we have drawn a triangle where sin∅=7/8
in this triangle, cot∅=(adjacent side)/(opposite side)=

Answer: <span>square root of fifteen divided by seven</span>
Answer:
graph the line using the slope and y-intercept or two points
slope:-2/5
y-intercept:(0,-2)
x | y
-5 | 0
0 | -2
Answer:
yes
Step-by-step explanation:
25% of 42=25 divided by 100 x 42
25\100 x 42=10.5
Use Stokes' theorem for both parts, which equates the surface integral of the curl to the line integral along the surface's boundary.
a. The boundary of the hemisphere is the circle
in the plane
, where the curl is
. Green's theorem applies here, so that

which means the value of the line integral is 3 times the area of the circle, or
.
b. The closed sphere has no boundary, so by Stokes' theorem the integral is 0.