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sabrinarasull1pe6s61
29.09.2019 •
Mathematics
Someone explain to me how i do this law of sines problem
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Ответ:
44.1 cm
Step-by-step explanation:
In order to find the length of side "a", you need to know the measure of angle A. That is found by making use of the fact that the sum of angles in a triangle is 180°.
102° + 28° + A = 180°
A = 180° -130° = 50°
Now, you can fill in the given information in the given equation and solve for "a":
sin(A)/a = sin(B)/b
sin(50°)/a = sin(28°)/(27 cm)
Multiplying by a(27 cm) gives ...
sin(50°)(27 cm) = a·sin(28°)
Dividing by the coefficient of "a", we get ...
a = (27 cm)sin(50°)/sin(28°) ≈ 44.0563 cm
Rounded to the nearest tenth, this is ...
a ≈ 44.1 cm
Since we're looking for a side length (not an angle), I prefer to write the Law of Sines formula "upside down" from that shown:
a/sin(A) = b/sin(B) = c/sin(C)
Then it is one step to get to ...
a = b·sin(A)/sin(B) . . . . . . multiply by sin(A)
Ответ:
we are given
step-1: Factor terms
now, we can plug these values
and we get
=![\frac{(x+3)(x-2)}{(x-2)(x+2)}*\frac{(x-3)(x+3)}{(x+3)^2}](/tpl/images/0148/9756/02019.png)
step-2: Cancel common terms
we get
=![\frac{(x+3)}{(x+2)}*\frac{(x-3)}{(x+3)}](/tpl/images/0148/9756/c5eba.png)
we can again cancel numerator and denominator
and we get
=
.............Answer