In a circle with radius 2, an angle measuring pi/3 radians intercepts an arc. Find the

Mathematics

1 answer:

Alex73 [517]3 years ago

8 0

Sá pá tha da ahupl mor na o phu tha

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http://misterkmath.weebly.com/uploads/1/3/8/0/13802304/8-2d_answers.pdf

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lutik1710 [3]

Answer:

WX = 8 mm

Step-by-step explanation:

To be able to solve for WX, we need to first find the size of angle $\angle z$ .

We use the law of sines in the blue triangle to do such:

$\frac{sin(z)}{11} =\frac{sin(133)}{20} \\sin(z)=\frac{11\,sin(133)}{20} \\sin(z)=0.4022$

Now we can use this value in the larger right angle triangle where WX is the opposite side to angle $\angle z$ , and the 20 mm side is the hypotenuse:

$sin(z)=\frac{opposite}{hypotenuse} \\sin(z)=\frac{WX}{20}\\0.4022=\frac{WX}{20}\\WX=20\,(0.4022)\\WX=8.044\,\,mm$

which rounded to the nearest integer gives

WX = 8 mm

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According to Home Water Works, the average American shower uses 17.2 gallons and lasts about 8.2 minutes. To the nearest tenth o

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Home Water Works says that in most homes, showers are the third-largest user of water after toilets and clothes washers. The average American shower water usage is 17.2 gallons with the average shower length being 8.2 minutes. The average flow rate is 2.1 gallons per minute.

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