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Vladimir [108]
3 years ago
7

What is the determinant ? ANS : -2 plz help me with process​

Mathematics
1 answer:
WITCHER [35]3 years ago
6 0

Answer:

(-2)

Step-by-step explanation:

We have to find the determinant of the given matrix,

A=\begin{bmatrix}(a-1) & (a^2-a+1)\\ (a+1) & (a^2+a+1)\end{bmatrix}

det A = (a - 1)(a² + a + 1) - (a + 1)(a² - a + 1)

         = a(a² + a + 1) - 1(a²+ a + 1) - a(a² - a + 1) - 1(a² - a + 1)

         = a³ + a² + a - a² - a - 1 - a³ + a² - a - a² + a - 1

         = (a³ - a³) + (-a² + a² - a² - a²) - 1 - 1

         = -2

Therefore, determinant of the given matrix is (-2).

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Answer:

The measure of arc EF = 41°

Step-by-step explanation:

Given:

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Now, we know from central angle theorem that the measure of central angle by an arc is twice that of the angle made by the same arc at the circumference. Therefore,

\textrm{Major Arc DGF}=2\times \angle FED\\\textrm{Major Arc DGF}=2\times 123\\\textrm{Major Arc DGF}=246\°

Now, we know that sum of all arcs on a circle is equal to 360°.

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4 years ago
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3 years ago
Find missing angle.
Vsevolod [243]
I don’t really know exactly to what degree you need to put in your solution. But I rounded to the nearest tenth degree.
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c= 19.2 (side opposite c)

HOW TO SOLVE:
c= law of sines, so c/sin(40) = 14/sin(28), multiply both sides by sin(40) so c can be isolated and solved for. c = 14sin(40)/sin(28). Plug into calculator then get answer. c is approximately 19.2.
a = law of sines again, so a/sin(112) = 14/sin(28). Multiply both sides again by sin(112) then solve. a = 14sin(112)/sin(28). Calculator again. a is around 27.6
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Aleksandr [31]
So the answer is D hope this would help you

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3 years ago
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