Answer:
1/3
Step-by-step explanation:
There are 12 tiles. There are 4 numbers less than 5, so the probability would be 4/12 so we simplify it to 1/3
(i) The product of the two expressions is equal to the product of their factors. (ii) The product of the two expressions is equal to the product of their H.C.F. and L.C.M. 2.
3(4+n)=18+n
distribute
12+3n=18+n
minus n both sides
12+2n=18
minus 12 both sides
2n=6
divide by 2
n=3
the number is 3
equation is
3(4+n)=18+n
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.
Answer:
95.49°
Step-by-step explanation:
The arc length formula is s = rФ, where r is the radius and Ф is the central angle in radians. Here, r = 9 ft and s = 15 ft. Thus, the central angle Ф is
Ф = (15 ft) / (9 ft) = 5/3 radians, or
5 rad 180°
------- * ---------- = 95.49°
3 π rad
