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3 years ago

5

in Triangle uvw, the measure of angle W equals 90°, UW equals 60, WV equals 11, and Vu equals 61. What ratio represents tan (v)?

1 answer:

joja [24]3 years ago

4 0

Answer:

g

Step-by-step explanation:

gg

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G find the area of the surface over the given region. use a computer algebra system to verify your results. the sphere r(u,v) =

Svetach [21]

Presumably you should be doing this using calculus methods, namely computing the surface integral along $\mathbf r(u,v)$ .

But since $\mathbf r(u,v)$ describes a sphere, we can simply recall that the surface area of a sphere of radius $a$ is $4\pi a^2$ .

In calculus terms, we would first find an expression for the surface element, which is given by

$\displaystyle\iint_S\mathrm dS=\iint_S\left\|\frac{\partial\mathbf r}{\partial u}\times\frac{\partial\mathbf r}{\partial v}\right\|\,\mathrm du\,\mathrm dv$

$\dfrac{\partial\mathbf r}{\partial u}=a\cos u\cos v\,\mathbf i+a\cos u\sin v\,\mathbf j-a\sin u\,\mathbf k$
$\dfrac{\partial\mathbf r}{\partial v}=-a\sin u\sin v\,\mathbf i+a\sin u\cos v\,\mathbf j$
$\implies\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}=a^2\sin^2u\cos v\,\mathbf i+a^2\sin^2u\sin v\,\mathbf j+a^2\sin u\cos u\,\mathbf k$
$\implies\left\|\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}\right\|=a^2\sin u$

So the area of the surface is

$\displaystyle\iint_S\mathrm dS=\int_{u=0}^{u=\pi}\int_{v=0}^{v=2\pi}a^2\sin u\,\mathrm dv\,\mathrm du=2\pi a^2\int_{u=0}^{u=\pi}\sin u$
$=-2\pi a^2(\cos\pi-\cos 0)$
$=-2\pi a^2(-1-1)$
$=4\pi a^2$

as expected.

6 0

3 years ago

two planes take off at a new york airport. the first plane climbs at an angle of 45 degree with respect to the ground amd reache

vaieri [72.5K]

The answer is fully given in the picture below. Hope it helps!

6 0

3 years ago

What is the angle measure of 2x+1°

Ray Of Light [21]

Answer:

25 degrees

Step-by-step explanation:

Haha, awesome! Just did a problem like this!

All angles add up to 180, so set it up like this:

2x + 1 + 5x + 5 + 90 = 18

Combine like terms.

7x + 96 = 180

7x = 84

x = 12

Plug x back into 2x + 1

2(12) + 1

24 + 1

= 25 degrees

While we're at it...

5(12) + 5

60 + 5

= 65 degrees (for the other angle)

25 + 65 + 90 = 180

Math checks out & we're good to go!

Hope this helped. :) <3

5 0

2 years ago

Please andwer this for me <3

mina [271]

Answer:

C

Step-by-step explanation:

16 : 12

x : 6

- multiply 16*6 and divide by the number multiplying with the unknown (12)

(16*6)/12 = 8

- area of triangle is 1/2 h*b

so 1/2 * (16*8) = 64

7 0

3 years ago

Plzzz help me math sucks <br> 84 + 45 = 3(28 + 15) No Yes

IRINA_888 [86]

Yes because 84+45 is 129 and 3(28+15) is 129

5 0

3 years ago

Read 2 more answers