It snowed 72 cm in 24 hours

Mathematics

2 answers:

stiv31 [10]3 years ago

8 0

Answer:2953

Step-by-step explanation:

zimovet [89]3 years ago

5 0

Answer:

Step-by-step explanation:

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To divide the sector into two congruent sectors we can use the _________________ construction. A) angle bisector B) copy and ang

12345 [234]

Answer:

Option A) angle bisector

Step-by-step explanation:

Angle Bisector:

An angle bisector is a line that divides an angle into two equal parts.
The angle bisector divide the angle in two equal parts.
An angle bisector is equidistant from the sides of the angle when measured along a segment perpendicular to the sides of the angle.
It cuts the angle into half.
Thus, a sector can be divided into two equal sectors by drawing an angle bisector.

To divide the sector into two congruent sectors we can use the angle bisector construction.

Thus, the correct answer is

Option A) angle bisector

4 0

3 years ago

Calculate the flux of the vector field F⃗ (x,y,z)=(exy+9z+4)i⃗ +(exy+4z+9)j⃗ +(9z+exy)k⃗ through the square of side length 3 wit

ikadub [295]

The square (call it $S$ ) has one vertex at the origin (0, 0, 0) and one edge on the y-axis, which tells us another vertex is (0, 3, 0). The normal vector to the plane is $\vec n=\vec\imath-\vec k$ , which is enough information to figure out the equation of the plane containing $S$ :

$(x\,\vec\imath+y\,\vec\jmath+z\,\vec k)\cdot(\vec\imath-\vec k)=0\implies x-z=0\implies z=x$

We can parameterize this surface by

$\vec s(x,y)=x\,\vec\imath+y\,\vec\jmath+x\,\vec k$

for $0\le x\le\frac3{\sqrt2}$ and $0\le y\le3$ . Then the flux of $\vec F$ , assumed to be

$\vec F(x,y,z)=(e^{xy}+9z+4)\,\vec\imath+(e^{xy}+4z+9)\,\vec\jmath+(9ze^{xy})\,\vec k$ ,

$\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\iint_S\vec F(\vec s(x,y))\cdot\vec n\,\mathrm dx\,\mathrm dy$

$=\displaystyle\int_0^3\int_0^{3/\sqrt2}\left((4+e^{xy}+9x)\,\vec\imath+(9+e^{xy}+4x)\,\vec\jmath+(e^{xy}+9x)\,\vec k\right)\cdot(\vec\imath-\vec k)\,\mathrm dx\,\mathrm dy$