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tatyana61 [14]
3 years ago
6

If tan x = m, what is sin x in terms of m?​

Mathematics
1 answer:
zubka84 [21]3 years ago
5 0

Answer: m/sqrt(m^2)+1

Step-by-step explanation: if tan x = m, then the opposite angle is m and the adjacent angle is 1 so 1 squared plus m squared equals c squared. c = sqrt (1 + m^2)

sin x = opposite/hypotenuse = m/sqrt(m^2)+1

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Write 5,256 divided into 52 and show your work
Angelina_Jolie [31]
Set up you question 5256 divided by 56 then write the answer. Finally if you get a remainder put the answer then the remainder
8 0
3 years ago
Form a sequence that has two arithmetic means between -13 and 89. a. -13, 33, 43, 89 c. -13, 21, 55, 89 b. -18, -36, -72, -144 d
iogann1982 [59]
<span>Form a sequence that has two arithmetic means between -13 and 89. a. -13, 33, 43, 89 c. -13, 21, 55, 89 b. -18, -36, -72, -144 d. -18, -81, -144

Solution:

Since  it has to be between -13 and 89, letter d and b are not anymore considered to be the answer.

for a:
33-(-13)=46=d
43-33=10=d the value for this d is different from the two sequence,
89-43=46=d
they have different value for d, thus this is not the answer!

for c:
21-(-13)=34=d
55-21=34=d
89-55=34=d

they have the same value for d, thus the correct answer is </span><span> c. -13, 21, 55, 89</span>
8 0
3 years ago
Can you guys help me? The questions is... A soccer team eats lunch at a restaurant on the way to a tournament total cost of the
mr Goodwill [35]

Answer: The tip left for the servers was  $14.80

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • <em>Total cost of the food (before tax) = $82.25 </em>
  • <em>Tip = 18% of the amount before the tax </em>

So, to calculate the tip we have to multiply the cost of the food before tax ($82.25) by the 0.18 (percentage in decimal form, 18/100= 0.18).

Mathematically speaking:

82.25 x 0.18 = $14.80

The tip left for the servers was $14.80

3 0
3 years ago
Read 2 more answers
1. Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants.
german

Answer:

Step-by-step explanation:

1.

To write the form of the partial fraction decomposition of the rational expression:

We have:

\mathbf{\dfrac{8x-4}{x(x^2+1)^2}= \dfrac{A}{x}+\dfrac{Bx+C}{x^2+1}+\dfrac{Dx+E}{(x^2+1)^2}}

2.

Using partial fraction decomposition to find the definite integral of:

\dfrac{2x^3-16x^2-39x+20}{x^2-8x-20}dx

By using the long division method; we have:

x^2-8x-20 | \dfrac{2x}{2x^3-16x^2-39x+20 }

                  - 2x^3 -16x^2-40x

                 <u>                                         </u>

                                            x+ 20

So;

\dfrac{2x^3-16x^2-39x+20}{x^2-8x-20}= 2x+\dfrac{x+20}{x^2-8x-20}

By using partial fraction decomposition:

\dfrac{x+20}{(x-10)(x+2)}= \dfrac{A}{x-10}+\dfrac{B}{x+2}

                         = \dfrac{A(x+2)+B(x-10)}{(x-10)(x+2)}

x + 20 = A(x + 2) + B(x - 10)

x + 20 = (A + B)x + (2A - 10B)

Now;  we have to relate like terms on both sides; we have:

A + B = 1   ;   2A - 10 B = 20

By solvong the expressions above; we have:

A = \dfrac{5}{2}     B =  \dfrac{3}{2}

Now;

\dfrac{x+20}{(x-10)(x+2)} = \dfrac{5}{2(x-10)} + \dfrac{3}{2(x+2)}

Thus;

\dfrac{2x^3-16x^2-39x+20}{x^2-8x-20}= 2x + \dfrac{5}{2(x-10)}+ \dfrac{3}{2(x+2)}

Now; the integral is:

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\mathbf{\int \dfrac{2x^3-16x^2-39x+20}{x^2-8x-20} \ dx =  x^2 + \dfrac{5}{2}In | x-10|\dfrac{3}{2} In |x+2|+C}

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Please check to the attached image below for the solution to question number 3.

4 0
3 years ago
Help Me PLEASE!! Urgent! Marking Brainliest!!
denis-greek [22]

Answthe 2 at the bottom go to Not a polynomial

Step-by-step explanation:

5 0
3 years ago
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