All categories

3 years ago

5 of 8

Mathematics

2 answers:

Marina86 [1]3 years ago

4 0

Answer:

51 because you find the area of both rectangles then add them

GuDViN [60]3 years ago

4 0

Answer:

51m^2

Step-by-step explanation:

First, separate the shape into two, the bottom half of the shape would have an area of 18 square meteres because the sides are 6 meters and 3 meters. You would find the area by multiplying those two sides.

For the top half of the shape, you would multiply the two sides as well and add teh totals together. The one side is clearly 3 meters, but to find the otehr side you would add 5 + 3 + 3 which would give you 11.

11 x 3 = 33

6 x 3 = 18

18 + 33 = 51

You might be interested in

Use Stokes' Theorem to evaluate C F · dr F(x, y, z) = xyi + yzj + zxk, C is the boundary of the part of the paraboloid z = 1 − x

Serggg [28]

I assume $C$ has counterclockwise orientation when viewed from above.

By Stokes' theorem,

$\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S$

so we first compute the curl:

$\vec F(x,y,z)=xy\,\vec\imath+yz\,\vec\jmath+xz\,\vec k$

$\implies\nabla\times\vec F(x,y,z)=-y\,\vec\imath-z\,\vec\jmath-x\,\vec k$

Then parameterize $S$ by

$\vec r(u,v)=\cos u\sin v\,\vec\imath+\sin u\sin v\,\vec\jmath+\cos^2v\,\vec k$

where the $z$ -component is obtained from

$1-(\cos u\sin v)^2-(\sin u\sin v)^2=1-\sin^2v=\cos^2v$

with $0\le u\le\dfrac\pi2$ and $0\le v\le\dfrac\pi2$ .

Take the normal vector to $S$ to be

$\vec r_v\times\vec r_u=2\cos u\cos v\sin^2v\,\vec\imath+\sin u\sin v\sin(2v)\,\vec\jmath+\cos v\sin v\,\vec k$

Then the line integral is equal in value to the surface integral,

$\displaystyle\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S$

$=\displaystyle\int_0^{\pi/2}\int_0^{\pi/2}(-\sin u\sin v\,\vec\imath-\cos^2v\,\vec\jmath-\cos u\sin v\,\vec k)\cdot(\vec r_v\times\vec r_u)\,\mathrm du\,\mathrm dv$

$=\displaystyle-\int_0^{\pi/2}\int_0^{\pi/2}\cos v\sin^2v(\cos u+2\cos^2v\sin u+\sin(2u)\sin v)\,\mathrm du\,\mathrm dv=\boxed{-\frac{17}{20}}$

6 0

3 years ago

What is the greatest common factor of 180 and 240

maria [59]

The GCF of 180 and 240 is 60

4 0

4 years ago

Read 2 more answers

Answer all of the questions below in order to determine the volume of the rectangular prism. 10 3 5 Press the play button: play

soldier1979 [14.2K]

Answer:

10, 50, 150

Step-by-step explanation:

i just did it lol.

7 0

3 years ago

WE ARE GONNA START A RIOT!! as you know, I wasted 310 points on an essay, counting, and all these bots do is put LINKS and do no

-Dominant- [34]

Answer:

ME LOL

Step-by-step explanation:

XDHJCVEFBV,RW

6 0

3 years ago

A horse farm is developing a new indoor arena in a rectangular buliding. They want the width of the building to be 3 wide feet a

erastovalidia [21]

Answer:

The area of the building in terms of y in its simplest form is 12(y + 2)

Step-by-step explanation:

Since the area of a rectangle is A = LW where L = length and W = width. From our question, the width of the rectangular building is 3 feet. So, W = 3 feet and its length is 4y + 8 feet. So, L = 4y + 8 feet.

So, the area of the building in terms of y is A = LW

= (4y + 8) × 3

Factorizing out 4 from the expression, we have

= 4(y + 2) × 3

= 12(y + 2)

So, the area of the building in terms of y in its simplest form is 12(y + 2)

8 0

3 years ago