What is the answer to this?

Mathematics

2 answers:

Sever21 [200]3 years ago

8 0

Answer:

$\frac{12}5$

Step-by-step explanation:

The easiest way to find the tangent is to calculate the ratio of opposite side over the adjacent, or $\frac{12}5$

morpeh [17]3 years ago

6 0

We know

$\\ \sf{:}\Rrightarrow tan\Theta=\dfrac{Perpendicular}{Base}$

Now

$\\ \sf{:}\Rrightarrow tanT=\dfrac{SU}{TU}$

$\\ \sf{:}\Rrightarrow tanT=\dfrac{12}{5}$

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Evaluate the spherical coordinate integral

expeople1 [14]

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y = -x + 1 ==> x + y = 1

y = -x + 4 ==> x + y = 4

y = 2x + 2 ==> -2x + y = 2

y = 2x + 5 ==> -2x + y = 5

This tells us the parallelogram in the x-y plane corresponds to the rectangle in the u-v plane with 1 ≤ u ≤ 4 and 2 ≤ v ≤ 5.

Compute the Jacobian determinant for this change of coordinates:

$J=\begin{bmatrix}\frac{\partial u}{\partial x}&\frac{\partial u}{\partial y}\\\frac{\partial v}{\partial x}&\frac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&1\\-2&1\end{bmatrix}\implies|\det J|=3$

Rewrite the integrand:

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The integral is then

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4 years ago

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4 years ago

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rosa works north of her home. her husband works east they leave at the sane time. by the time rosa is 7 miles from home, the dis

Gennadij [26K]

This problem requires the Pythagorean therom.

The distance between them is 7.

Since the distance between them is one more mile than ray's distance from home ray is 6 miles from home.

So rosa is $\sqrt{7^2-6^2}$