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4 years ago

laws of sines!!!!! find X. Round the the nearest tenth!!!! please help!!!!! asap!!!! trigonometry!!!!!

Mathematics

1 answer:

melomori [17]4 years ago

6 0

Answer:

21.4°

Step-by-step explanation:

Law of sines:

Triangle ABC:

sin A / a = sin B / b = sin C / c

In this case:

sin (x) / 12 = sin(42°) / 22

Multiply both sides by 12

sin (x) = (sin(42°)/22) x 12

sin (x) = 0.3650

Inverse Sine:

x = sin−1(0.3650)

x = 21.4°

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Read 2 more answers

Which table contains the vertex of the graph represented by y=x^2-6x+4?

notka56 [123]

Answer:

Table B

Vertex is (3,-5)

Step-by-step explanation:

We are given with an equation of a parabola $y=x^2-6x+4$

Let is convert it into standard form of a parabola

$y=x^2-6x+4$

adding and subtracting 9 in the right hand side of the =

$y=x^2-6x+9-9+4$

$y=x^2-2\times 3\times x+ 3^2-9+4$

the first three terms of the right hand side forms the expression of square of difference

$a^2-2 \times a \times b+b^2 = (a-b)^2$

Hence

$y=(x-3)^2-5$

adding 5 on both sides we get

$(y+5)=(x-3)^2$

Comparing it with the standard equation of a parabola

$X^2=4\times \frac{1}{4} \times Y$

where $X=x-3$ and $Y=y+5$

The vertex of $X^2=4\times \frac{1}{4} \times Y$ will be (0,0)

and thus vertex of

$(y+5)=(x-3)^2$ will be (3,-5)

Hence the Table B is our right answer

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laws of sines!!!!! find X. Round the the nearest tenth!!!! please help!!!!! asap!!!! trigonometry!!!!!​

laws of sines!!!!! find X. Round the the nearest tenth!!!! please help!!!!! asap!!!! trigonometry!!!!!