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Len [333]
4 years ago
9

Calcule senx, sabendo que cosx= -√3/3 e π

Mathematics
1 answer:
exis [7]4 years ago
8 0
Sendo sen x= -3<span>/5 e </span>π<span> < x < 3π/2, </span>calcule:? ... Pedem-se várias funções trigonométricas,sabendo<span>-se que </span>senx<span> = -</span>3<span>/5 e que "x' está no seguinte intervalo: PI < x < 3PI/2 ---Veja que esse ... cosx = +-4/5 -----mas, como no 3º quadrante o </span>cosseno<span> é negativo, então temos que: .... Se </span>cos<span> x = </span>3<span>/5 e 3π/2 < x < 2π , </span>calcular<span> sen(</span>3x<span>)?.</span>
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Which of the following always passes through a vertex of a triangle . choose all that apply.
Helga [31]

Just finished the test and the write answers are :

1) A,D,E

2)A,B

3)B,E

4) D

5) A

6) C

7) A

8) B

9) part A is C

Part B is A

Score 100%

7 0
3 years ago
the scale of a model railroad set is 3.5 millimeters to one foot if the length of a model car in the set is 150 millimeters what
Montano1993 [528]

\bf \begin{array}{ccll} \stackrel{mm}{model}&\stackrel{ft}{actual}\\ \cline{1-2} 3.5&1\\ 150&x \end{array}\implies \cfrac{3.5}{150}=\cfrac{1}{x}\implies x=\cfrac{150\cdot 1}{3.5}\implies x\approx 42.86

6 0
4 years ago
Read 2 more answers
Mandy can buy 4 containers of yogurt and 3 boxes of crackers for $9.55. She can buy 2 containers of yogurt and 2 boxes of cracke
Anna11 [10]

Answer:

The cost of a box of crackers is $2.25.

Step-by-step explanation:

Let the cost of a containers of yogurt is $x and cost of a box of crackers is $y.

It is given that Mandy can buy 4 containers of yogurt and 3 boxes of crackers for $9.55.

4x+3y=9.55              .... (1)

She can buy 2 containers of yogurt and 2 boxes of crackers for $5.90.

2x+2y=5.90              .... (2)

On solving (1) and (2), using graphing calculator, we get

x=0.7

y=2.25

Therefore the cost of a box of crackers is $2.25.

6 0
3 years ago
Read 2 more answers
What is the result of substituting for y in the bottom equation<br> y=x+3<br> y=x^2+2x-4
8_murik_8 [283]

The solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

<em><u>Solution:</u></em>

Given that,

y = x + 3 ------- eqn 1\\\\y = x^2 + 2x - 4  ----- eqn 2

<em><u>We have to substitute eqn 1 in eqn 2</u></em>

x + 3 = x^2 + 2x - 4

\mathrm{Switch\:sides}\\\\x^2+2x-4=x+3\\\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\\\x^2+2x-4-3=x+3-3\\\\\mathrm{Simplify}\\\\x^2+2x-7=x\\\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\\\x^2+2x-7-x=x-x\\\\\mathrm{Simplify}\\\\x^2+x-7=0

\mathrm{Solve\:with\:the\:quadratic\:formula}\\\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=1,\:c=-7\\\\x =\frac{-1\pm \sqrt{1^2-4\cdot \:1\left(-7\right)}}{2\cdot \:1}

x = \frac{-1 \pm \sqrt{ 1 + 28}}{2}\\\\x = \frac{ -1 \pm \sqrt{29}}{2}

x = \frac{ -1 \pm 5.385 }{2}\\\\We\ have\ two\ solutions\\\\x = \frac{ -1 + 5.385 }{2}\\\\x = 2.1925

Also\\\\x = \frac{ -1 - 5.385 }{2}\\\\x = -3.1925

Substitute x = 2.1925 in eqn 1

y = 2.1925 + 3

y = 5.1925

Substitute x = -3.1925 in eqn 1

y = -3.1925 + 3

y = -0.1925

Thus the solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

6 0
4 years ago
Write the next three terms of the geometric sequence 2916,972,324,108
nikitadnepr [17]

Step-by-step explanation:

The common ratio is: r=0.3333333333333333

The sum of this series is: s_4=4320

The general form of this series is: a_n=2916*0.3333333333333333^(n-1)

3 0
2 years ago
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