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Aleks [24]
3 years ago
13

What is the value of n? Enter your answer in the box. n = cm Circle with two intersecting chords forming an x shape in the circl

e. The top left side of the x shape is labeled 4 centimeters. The top right side of the x shape is labeled 3 centimeters. The bottom left side of the x is labeled n. The bottom right side of the x is labeled 6 centimeters.
Mathematics
1 answer:
Zinaida [17]3 years ago
4 0

Answer:

n= 8 cm

Step-by-step explanation:

According to the intersecting theorem, A*B=C*D is always equal as no matter where the chords intersect.

In this case, A=4,B=6,C=3 and D=n hence

4*6 = 3*n

24=3 n

24/3 = n

8= n

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3 years ago
Evaluate the spherical coordinate integral
expeople1 [14]

Rewrite the equations of the given boundary lines:

<em>y</em> = -<em>x</em> + 1  ==>  <em>x</em> + <em>y</em> = 1

<em>y</em> = -<em>x</em> + 4  ==>  <em>x</em> + <em>y</em> = 4

<em>y</em> = 2<em>x</em> + 2  ==>  -2<em>x</em> + <em>y</em> = 2

<em>y</em> = 2<em>x</em> + 5  ==>  -2<em>x</em> + <em>y</em> = 5

This tells us the parallelogram in the <em>x</em>-<em>y</em> plane corresponds to the rectangle in the <em>u</em>-<em>v</em> plane with 1 ≤ <em>u</em> ≤ 4 and 2 ≤ <em>v</em> ≤ 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:

-3x+4y=-3\cdot\dfrac{u-v}3+4\cdot\dfrac{2u+v}3=\dfrac{5u+7v}3

The integral is then

\displaystyle\iint_R(-3x+4y)\,\mathrm dx\,\mathrm dy=3\iint_{R'}\frac{5u+7v}3\,\mathrm du\,\mathrm dv=\int_2^5\int_1^45u+7v\,\mathrm du\,\mathrm dv=\boxed{333}

5 0
3 years ago
What is the greatest common factor of 52x5 and 12x4
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"A. 4x^4 is the answer so try that."
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3 years ago
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arlik [135]
Distributive Property ( A number, n, is multiplied to the expression in parentheses)

4( \frac{2}{5}  \times 10) =  \\ 4( \frac{20}{5} ) =  \\ 4(4) = 16
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3 years ago
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