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aleksandr82 [10.1K]
2 years ago
6

Given the triangle below, find the length of XW . Round your answer to the nearest tenth.

Mathematics
1 answer:
Ghella [55]2 years ago
4 0

Check the picture below.

so let's use the law of sines then

\textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1.9}{sin(Z)}~~ = ~~\cfrac{XZ}{sin(Y)}\implies \cfrac{1.9}{sin(89^o)}~~ = ~~\cfrac{XZ}{sin(70^o)}\implies \cfrac{1.9\cdot sin(70^o)}{sin(89^o)}=XZ \\\\[-0.35em] ~\dotfill

cos(21^o)=\cfrac{\stackrel{adjacent}{XW}}{\underset{hypotenuse}{XZ}}\implies XZ\cdot cos(21^o)=XW \\\\\\ \cfrac{1.9\cdot sin(70^o)\cdot cos(21^o)}{sin(89^o)}=XW\implies 1.7\approx XW

quick observation, the picture of the triangle is very misleading, since those angles as drawn are not good representers of the angles values.

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postnew [5]
If it has a line on top of the last number then it is considered repeating.

therefore, the first two are repeating and the last two are non-repeating.

Hope that helps!
4 0
3 years ago
2. A canoe travels 3 kilometers in
Dmitry_Shevchenko [17]
The average speed of the canoe is 5 1/4 in kilometers per hour
8 0
3 years ago
52÷2= ?? find the quotient and remainder
vodomira [7]
52/2= 26

The quotient is 26, but there are no remainder.

Hope this helps!
7 0
3 years ago
Read 2 more answers
Please help me thank you and show all work
AleksAgata [21]
Proportional:
82.8 / 92 = 0.9
73.8 / 82 = 0.9
so
FG / 47 = 0.9
FG = 47 * 0.9
FG = 42.3

answer

The distance between 2 campsites is 42.3 m.



8 0
3 years ago
The length of a rectangle is 4 centimeters more than twice its width of the perimeter of the rectangle is 86centimeters find the
lana66690 [7]

Answer:

Width= 13 cm

length=30cm

Step-by-step explanation:

Let the length of the rectangle be 'L'

And the width of the rectangle be 'W'

Perimeter= 86 cm

According to the statement:

        Length= 2*Width+4\\L=2W+4

Perimeter of a rectangle= 2(Length+Width)

86=2(2W+4+W)\\86/2=3W+4\\43=3W+4\\3W=43-4\\3W=39\\W=39/3\\W=13 cm\\\\Length(L)=2W+4\\=2(13)+4=26+4=30 cm\\Length=30 cm

                               Width= 13 cm

                                length=30cm

6 0
3 years ago
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