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3 years ago

Find the perimeter of the polygon.

Mathematics

1 answer:

V125BC [204]3 years ago

6 0

Answer: 100 cm.

Explanation: To find the perimeter of any 2-D shape, simply add all the sides together:

10+24+11+7+5+19+8+16=100
Perimeter=100

Hope that helps シ

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How does a degree of a number determine maximum number of zeros?

Brrunno [24]

Including all real and imaginary zeros and taking multiplicities into account, every equation of degree n has exactly n roots

5 0

3 years ago

Surface integrals using a parametric description. evaluate the surface integral \int \int_{s} f(x,y,z)dS using a parametric desc

DiKsa [7]

You can parameterize $S$ using spherical coordinates by

$\vec s(u,v)=\langle6\cos u\sin v,6\sin u\sin v,6\cos v\rangle$

with $0\le u\le2\pi$ and $0\le v\le\frac\pi2$ .

Take the normal vector to $S$ to be

$\dfrac{\partial\vec s}{\partial\vec v}\times\dfrac{\partial\vec s}{\partial\vec u}=36\langle\cos u\sin^2v,\sin u\sin^2v,\cos v\sin v\rangle$

(I use $\vec s_v\times\vec s_u$ to avoid negative signs. The orientation of the normal vector doesn't matter for a scalar surface integral; you could just as easily use $\vec s_u\times\vec s_v=-(\vec s_v\times\vec s_u)$ .)

Then

$f(x,y,z)=f(6\cos u\sin v,6\sin u\sin v,6\cos v)=36\sin^2v$

and the integral of $f$ over $S$ is

$\displaystyle\iint_Sf(x,y,z)\,\mathrm dS=\int_0^{\pi/2}\int_0^{2\pi}36\sin^2v\left\|\frac{\partial\vec s}{\partial v}\times\frac{\partial\vec s}{\partial u}\right\|\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^{\pi/2}\int_0^{2\pi}(36\sin^2v)(36\sin v)\,\mathrm du\,\mathrm dv$

$=\displaystyle2592\pi\int_0^{\pi/2}\sin^3v\,\mathrm dv=\boxed{1728\pi}$

7 0

3 years ago

Solve x2 - 4x + 1 = 0.<br> x = 2+ 21-25<br> X = 4+<br> X = 2+ 3<br> x = -2+

adelina 88 [10]

I think the answer is this
2x-4x+1=0
Combine like terms
-2x+1=0
Subtract 1 both sides
-2x=-1
Divide by -2 both sides
x=-1/2

5 0

3 years ago

¿Qué altura tiene un poste que proyecta una sombra de 21 metros, al mismo tiempo que una persona de 1.75 metros de estatura lo o

prisoha [69]

Respuesta:

27,22 metros

Explicación paso a paso:

Dado :

Sombra del poste = 21 metros

Altura de la persona = 1,75 metros

Sombra de la persona = 1,35 metros

Altura del poste =?

Usando la relación:

Altura de la persona / sombra de la persona = altura del poste / sombra del poste

1,75 / 1,35 = x / 21

Cruz multiplicar

1,35 * x = 1,75 * 21

x = (1,75 * 21) / 1,35

x = 27,22

3 0

3 years ago

Enrique and Yolanda collected 500 pieces of candy on Halloween. They gave half of their candy to charity. Yolanda took 180 piece

777dan777 [17]

The answer would be C. (He counted Yolanda's candy as his own).

This is found by multiplying 500 (starting number of candy) and .64 (percentage divided by a hundred). Thjs would guve you 320, which you would then subtract from the starting number of candy (500) to get 180. 180 is Yolanda's number of candy, which gives you the answer.

4 0

3 years ago