Answer:
54.5 Sq. cm
Step-by-step explanation:
<em>area of a right angled triangle = 1/ 2 × base × height </em>
(here, the base is 8 and height is 6)
= 1/ 2 × 6 × 8
= 4 × 6
<u>= 24 Sq. cm</u>
<em>area of a circle</em> =
r²
(r is the radius that is diameter/ 2, and the value of
is 3. 14)
= 3. 14.× (5)²
= 3.14 × 25
<u>= 78.5 Sq. cm</u>
area of the shaded region = area of Circle - area of triangle
= 78.5 - 24
<h3>= 54.5 Sq. cm</h3>
that is option 3
Answer:
The answer is the second one
The 6 should be 30 in step two.
Step-by-step explanation:
Hope this helps, Please mark brainliest
Answer:
a) 
b) 10
Step-by-step explanation:
a) Here 
Since the case
= ∇
holds, then
∇
= 
So, 
If we integrate
with respect to x, we will get an integration constant C which is also a function that depends to y and z.
Hence,

Now we need to find g(y,z).
So first let's take the derivative of g(y,z) with respect to y.

Hence, 
So now, if we integrate
with respect to y to find g(y,z)

Thus,

And since
, then 
Thus,

b) By the Fundamental Theorem of Line Integrals, we know that
![\int\limits^a_b F. dr = F[r(b)]-F[r(a)]](https://tex.z-dn.net/?f=%5Cint%5Climits%5Ea_b%20F.%20dr%20%3D%20F%5Br%28b%29%5D-F%5Br%28a%29%5D)
Hence,
![\int\limits^a_b F. dr = F(1,1,1)-F(0,0,0) =[(5+1+4)-(0+0+0)]=10](https://tex.z-dn.net/?f=%5Cint%5Climits%5Ea_b%20F.%20dr%20%3D%20F%281%2C1%2C1%29-F%280%2C0%2C0%29%20%3D%5B%285%2B1%2B4%29-%280%2B0%2B0%29%5D%3D10)