Because the 2 sides of the triangle are the same, they are both 21, the two bottom angles would also be the same.
The 3 inside angles of a triangle must equal 180 degrees.
The top angle is given as 38, so the remaining two angles must equal 180 - 38 = 142 degrees.
Since the 2 bottom angles would be the same, divide 142 by 2 to get x.
X = 142 / 2 = 71 degrees.
Consider the closed region

bounded simultaneously by the paraboloid and plane, jointly denoted

. By the divergence theorem,

And since we have

the volume integral will be much easier to compute. Converting to cylindrical coordinates, we have




Then the integral over the paraboloid would be the difference of the integral over the total surface and the integral over the disk. Denoting the disk by

, we have

Parameterize

by


which would give a unit normal vector of

. However, the divergence theorem requires that the closed surface

be oriented with outward-pointing normal vectors, which means we should instead use

.
Now,



So, the flux over the paraboloid alone is
<span>x/900(pi) = 135/360
x = [900pi][135/360] = 337.5(pi) sq ft (area that receives water)
Hope this helps!
~{Oh Mrs.Believer}</span>
Answer:
- increase the sample size
- choose students from different grade levels
- choose every fourth student in all language arts classes
Your welcome :]
Answer:
1/4
GO GOOD LUCK
Step-by-step explanation:
U doing IXL? LOL
make me brainliest please