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erastova [34]
4 years ago
5

T= [4 2]

Mathematics
2 answers:
Ulleksa [173]4 years ago
6 0

Answer:

a_{13}

Step-by-step explanation:

The address of an element is the row and column number of the element in the matrix.

If the matrix is \left[\begin{array}{ccc}4&2\\5&0\\11&-1\\8&3\end{array}\right]

Then element 11 is row 3 and column 1. Its address is the column followed by the row. 11 is a_{13}.

Nina [5.8K]4 years ago
3 0

\bf T= \begin{bmatrix} 4&2\\5&0\\\underset{row~3,col~1}{11}&-1\\8&3 \end{bmatrix}\impliedby \textit{11 is at 3,1}

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3 years ago
A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate
sdas [7]

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

x^2 + 1^2 = y^2

Differentiate w.r.t time (t)

2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}

2x\frac{dx}{dt} = 2y\frac{dy}{dt}

Divide both sides by 2

x\frac{dx}{dt} = y\frac{dy}{dt}

From the question, we have that the plan travels are 510mi/h.

This implies that:

\frac{dx}{dt} = 510mi/h

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

y = 2mi

Apply Pythagoras theorem

x^2 + 1^2 = y^2

x^2 + 1^2 = 2^2

x^2 + 1 = 4

x^2 = 4-1

x^2 = 3

x = \sqrt 3

So, the expression becomes:

x\frac{dx}{dt} = y\frac{dy}{dt}

\sqrt 3 * 510 = 2* \frac{dy}{dt}

\frac{\sqrt 3 * 510}{2} =  \frac{dy}{dt}

\sqrt 3 * 255 =  \frac{dy}{dt}

\frac{dy}{dt} = 255\sqrt 3

\frac{dy}{dt} = 255 * 1.7321

\frac{dy}{dt} = 441.655

\frac{dy}{dt} = 442

<em>Hence, the distance is 442 miles</em>

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lisabon 2012 [21]
Let the number = x
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