Answer:
There are 52 possible outcomes when you draw one card from a standard deck. Hence, 52 is the denominator of your probability fraction.
Answer:
80in 2
Step-by-step explanation:
9514 1404 393
Answer:
32.9
Step-by-step explanation:
The ratio of long side to hypotenuse is the same for all of the triangles in the figure.
AD/AB = AB/AC
AB^2 = AD·AC = 30·36
AB = 6√30 ≈ 32.863
To the nearest tenth, AB ≈ 32.9.
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.