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3 years ago

What is the sine value of 2pi/3

Mathematics

2 answers:

seraphim [82]3 years ago

3 0

Sin (2 pi/3) = sqrt(3)/2
you can get this from the unit circle

soldier1979 [14.2K]3 years ago

3 0

(3)/2.................

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Infotron Inc makes electronic hockey and soccer games. Each hockey game requires 2 labor-hours of assembly and 2 labor-hours o

OlgaM077 [116]

Answer:

Infotron should produce each day 13 hockey and 6 soccer games

Step-by-step explanation:

x = Number of hockey games Infotron should produce

y = Number of soccer games Infotron should produce

Number of labor-hours for assembly = 2x + 3y

Number of labor-hours for testing = 2x + y

Now we can write our equations system, this way:

2x + 3y = 44

2x + y = 32

*********************

Expressing y in terms of x in the 2nd equation:

2x + y = 32

y = 32 - 2x

********************

Substituting y and solving for x in the 1st equation:

2x + 3y = 44

2x + 3 * ( 32 - 2x) = 44

2x + 96 - 6x = 44

-4x = 44 - 96

-4x = - 52

x = -52/-4

x = 13

*****************

Solving for y in the 2nd equation:

2x + y = 32

2 * 13 + y = 32

26 + y = 32

y = 32 - 26

y = 6

Infotron should produce each day 13 hockey and 6 soccer games

7 0

3 years ago

Marcus is building a fence around his rectangular backyard. The length of his backyard is 75 3/4 ft, and the width is 81 1/4 ft.

Allisa [31]

Answer:

Step-by-step explanation:

Answer:

4,923.75ft²

Step-by-step explanation:

The area of the backyard = Length * width \

Area of the backyard = 75 3/4 * 81 1/4

Area of the backyard = 303/4 * 325/4

Area of the backyard = 6,154.6875ft²

If 3/4 of the fence is finished, the area of the finished part is expressed as;

Finished part = 1/5 * 6,154.6875

Finished part = 1,230.9375ft²

Part left unfinished = 6,154.6875-1,230.9375

Part left unfinished = 4,923.75ft²

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