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3 years ago

Can someone help me to find length CD

Mathematics

1 answer:

uysha [10]3 years ago

7 0

Answer:

CD = 3.602019190339

Step-by-step explanation:

CD = DA - CA

DA = DB×Cos(29) = 18.7×cos(29) = 16.355388523507

BA = BA×cos(43) = 18.7×cos(43) = 13.676314220278

CA = BA÷tan(47) = 13.676314220278÷tan(47) = 12.753369333168

Then

CD = 16.355388523507 - 12.753369333168 = 3.602019190339

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Find a point on the ellipsoid x2+y2+4z2=36x2+y2+4z2=36 where the tangent plane is perpendicular to the line with parametric equa

Anvisha [2.4K]

Answer:

A point on the ellipsoid is (-4,2,2) or (4,-2,-2)

Step-by-step explanation:

Given equation of ellipsoid f(x,y,z) : $x^2+y^2+4z^2=36$

Parametric equations:

x=-4t-1

y=2t+1

z=8t+3

Finding the gradient of function

$\nabla f(x,y,z)=\\\nabla f(x,y,z)=$

So, The directions vectors=(-4,2,8)

Now the line is perpendicular to plane when direction vector is parallel to the normal vector of line

$\nablaf(x,y,z)=(2x,2y,8z)=\lambda(-4,2,8)$

So, $2x=-4\lambda$

$\Rightarrow x=-2\lambda$

$2y=2\lambda\\\Rightarrow y=\lambda\\8z=8\lambda\\\Rightarrow z=\lambda$

Substitute the value of x , y and z in the ellipsoid equation

$(2\lambda)^2+(\lambda)^2+4(\lambda)^2=36\\9(\lambda)^2=36\\\lambda^2=4\\\lambda=\pm 2$

With $\lambda = 2$

x=-2(2)=-4

y=2

z=2

With $\lambda =- 2$

x=-2(-2)=4

y=-2

z=-2

Hence a point on the ellipsoid is (-4,2,2) or (4,-2,-2)

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3 years ago

What is the cosecant of angle C?

pishuonlain [190]

Cosecant = hypotenuse / opposite side ( that is 1 / sine)
csc C = AC / 8

AC = sqrt (6^2 + 8^2) = sqrt 100 = 10

so cosecant of C is 10/8 = 1.25

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3 years ago

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Maksim231197 [3]

Answer:

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Explanation:

To find the value of the expression when x = -3, we simply put in -3 wherever we find x - doing this gives

$2(-3)-17$ $=-6-17$ $=-23$

which is our answer!

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1 year ago

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maks197457 [2]

Answer:

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Step-by-step explanation:

basically you just plug in all of the x values shown in the table into the equation, to find the matching y values.

i hope this helps :)

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2 years ago

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RUDIKE [14]

Answer:

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Step-by-step explanation:

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