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Bas_tet [7]
3 years ago
9

Jameel drew circle A and found that the measure of the is 58°. He knows that he can use this measure to determine the measure of

many of the other angles shown in the circle.

Mathematics
1 answer:
Anestetic [448]3 years ago
6 0

Answer:

There is an incompletion here

"FOUND THAT THE --------- IS 58

Step-by-step explanation:

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Use Cramer’s rule to solve for x: x + 4y − z = −14 5x + 6y + 3z = 4 −2x + 7y + 2z = −17
V125BC [204]

Looks like the system is

x + 4y - z = -14

5x + 6y + 3z = 4

-2x + 7y + 2z = -17

or in matrix form,

\mathbf{Ax} = \mathbf b \iff \begin{bmatrix} 1 & 4 & -1 \\ 5 & 6 & 3 \\ -2 & 7 & 2 \end{bmatrix} \begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} -14 \\ 4 \\ -17 \end{bmatrix}

Cramer's rule says that

x_i = \dfrac{\det \mathbf A_i}{\det \mathbf A}

where x_i is the solution for i-th variable, and \mathbf A_i is a modified version of \mathbf A with its i-th column replaced by \mathbf b.

We have 4 determinants to compute. I'll show the work for det(A) using a cofactor expansion along the first row.

\det \mathbf A = \begin{vmatrix} 1 & 4 & -1 \\ 5 & 6 & 3 \\ -2 & 7 & 2 \end{vmatrix}

\det \mathbf A = \begin{vmatrix} 6 & 3 \\ 7 & 2 \end{vmatrix} - 4 \begin{vmatrix} 5 & 3 \\ -2 & 2 \end{vmatrix} - \begin{vmatrix} 5 & 6 \\ -2 & 7 \end{vmatrix}

\det \mathbf A = ((6\times2)-(3\times7)) - 4((5\times2)-(3\times(-2)) - ((5\times7)-(6\times(-2)))

\det\mathbf A = 12 - 21 - 40 - 24 - 35 - 12 = -120

The modified matrices and their determinants are

\mathbf A_1 = \begin{bmatrix} -14 & 4 & -1 \\ 4 & 6 & 3 \\ -17 & 7 & 2\end{bmatrix} \implies \det\mathbf A_1 = -240

\mathbf A_2 = \begin{bmatrix} 1 & -14 & -1 \\ 5 & 4 & 3 \\ -2 & -17 & 2 \end{bmatrix} \implies \det\mathbf A_2 = 360

\mathbf A_3 = \begin{bmatrix} 1 & 4 & -14 \\ 5 & 6 & 4 \\ -2 & 7 & -17 \end{bmatrix} \implies \det\mathbf A_3 = -480

Then by Cramer's rule, the solution to the system is

x = \dfrac{-240}{-120} \implies \boxed{x = 2}

y = \dfrac{360}{-120} \implies \boxed{y = -3}

z = \dfrac{-480}{-120} \implies \boxed{z = 4}

5 0
2 years ago
A sailboat has a mast that holds a triangular sail.The sail has a base of twelve meters and a height of nine meters. The cost of
nikdorinn [45]
First since it is a triangle and it says meter square that means its an area
so the area is 1/2hb h stands for height and b stands for base
so
a=1/2bh
a=1/2(12)(9)
a=1/2(108)
a=54m^2

It says the cost of sail is $15 per square meter
so
$15*54
=$810

Why times by 54 because if 1 piece is $15 how about 54pcs?
thats why we will multiply it
5 0
4 years ago
Read 2 more answers
Help help needed for composition of function
dimulka [17.4K]

Answer:

\circledast \ \ f\circ f\left( x\right) = x

\circledast \ \ g\circ g\left( x\right)  =4x - 21

Step-by-step explanation:

f(x)=\frac{5}{2x}

g(x) = 2x - 7

==============

f\circ f\left( x\right)  =\frac{5}{2\left( f\left( x\right)  \right)  }

             =\frac{5}{2\left( \frac{5}{2x}  \right)  }

             =\frac{5}{\left( \frac{5}{x}  \right)  }

             =5\times\frac{x}{5}

             =x

_____________

g\circ g\left( x\right)  =2(g(x)) - 7

            = 2(2x - 7) - 7

           = 4x - 14 - 7

           = 4x - 23

3 0
2 years ago
Someone answer this please!
Savatey [412]

B.) Square

I used Math-way for this answer cause if you type in the following points it is shown to be a square..

I hope this helps!

3 0
4 years ago
Find the least<br>common denominator<br>3/5+4/7​
Levart [38]

Answer:

35

Step-by-step explanation:

<h3>5*1=5  5*2=10  5*3=15  5*4=20 5*5=25  5*6=30  <u>5*7=35</u></h3><h3>7*1=7  7*2=14  7*3=21  7*4=28  <u>7*5=35</u></h3>
5 0
3 years ago
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