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hodyreva [135]
3 years ago
13

Look at the figure and answer

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
7 0

Answer:

\cos x=\dfrac{8}{f}

Step-by-step explanation:

Given that,

\tan x=\dfrac{e}{8}\\\\\sin x=\dfrac{e}{f}

We need to find the value of cos x.

We know that,

\tan\theta=\dfrac{\sin\theta}{\cos\theta}

Using the above relation,

\dfrac{e}{8}=\dfrac{\dfrac{e}{f}}{\cos x}\\\\\cos x=\dfrac{\dfrac{e}{f}}{\dfrac{e}{8}}\\\\=\dfrac{e}{f}\times \dfrac{8}{e}\\\\=\dfrac{8}{f}

So, the value of cos x is equal to \dfrac{8}{f}.

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Find y.<br> Help me please thanks
valina [46]

Answer:

Step-by-step explanation:

Discussion

First draw FH

<FOH and <FGH share the end points of the chord FH

<FOH is a central angle.

<FGH touches the circumference of the circle in the on the same side of the point of angle <FOH is closest to

Therefore <FGH  is 1/2 <FOH. That is always true of central angles and the smaller angle touching the circumference that <FOH points to

Conclusion

<FGH = 1/2 < FOH

58 = 1/2 <FOH

Therefore <FOH = 2 * 58 = 116

y = < FOH

Answer

y = 116

7 0
2 years ago
Use Cramer's rule to find the solution to the following system of linear equations.
slavikrds [6]

Answer:

x = 53

y = 30

Step-by-step explanation:

Step(I):-

Given equations are

x -2y =-7 ...(I)

5x-9y =-5 ..(ii)

The matrix form  AX = B

                    \left[\begin{array}{ccc}1&-2\\ 5  & -9\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}-7\\-5\\\end{array}\right]

The determinant

= \left|\begin{array}{ccc}1&-2\\5&-9\\\end{array}\right| = -9+10 =1

By using Cramer's Rule

Δ₁ =      \left[\begin{array}{ccc}-7&-2\\\\-5&-9\end{array}\right]



The determinant is     Δ₁ = -9 X -7 - (10 ) = 53

x = Δ₁ / Δ

x = 53

The determinant

Δ₂ =



Δ₂ = -5 +35

     

 

y = Δ₂/Δ =  30

     

5 0
3 years ago
Read 2 more answers
. Trisha walked 9/10 of a mile to school. Write the decimal to show<br> how far Trisha walked.
Mandarinka [93]

Answer:

.9

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Select the correct answer.
Sati [7]
The answer would be A because if you combine all the like terms you will get A as a result.

-2x^2+8x-9+4x+7x^2+2
-2x^2+7x^2 combine both of these and it will get you 5x^2
And then you would do 8x+4x which would be 12x and lastly you would -9+2 which would be -7 so the answer is A.

Hope this helps!!
3 0
3 years ago
Read 2 more answers
-3+9x&gt;87 or -x-9&gt;-17​
Alex_Xolod [135]

Answer:

\large\boxed{x\in(-\infty,\ 8)\ \cup\ (10,\ \infty)}

Step-by-step explanation:

-3+9x>87\qquad\text{add 3 to both sides}\\\\9x>90\qquad\text{divide both sides by 9}\\\\\boxed{x>10}\to(1)\\\\-x-9>-17\qquad\text{add 9 to both sides}\\\\-x>-8\qquad\text{change the signs}\\\\\boxed{x10\ or\ x

7 0
3 years ago
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