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aleksandr82 [10.1K]
3 years ago
13

Can someone help me with geometry! PLEASE!

Mathematics
1 answer:
Anastaziya [24]3 years ago
5 0
Well, the sum of the angles in a triangle equals 180 degrees.
So you do 180 minus the two angles to get the third angle.
180 - 78.4 - 57.2 = 44.4
44.4 degrees

To find AC, use the law of sines.
Length A / sin (angle a) = length b / sin(angle b)

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The sixth grade art students are making a mosaic using tiles in shapes of right triangles. Each tiles has the leg measures of 5.
Drupady [299]

Given:

Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.

There are 150 tiles in the mosaic.

To find:

The area of the mosaic.

Solution:

We know that, the area of a triangle is:

A=\dfrac{1}{2}\times Base\times height

So, the area of Each right triangular tile is:

A=\dfrac{1}{2}\times 5.2\times 6

A=\dfrac{1}{2}\times 31.2

A=15.6

There are 150 tiles in the mosaic. So, the area of the mosaic is:

Area=15.6\times 150

Area=2340

Therefore, the total area of the mosaic is 2340 cm ².

5 0
2 years ago
Better Products, Inc., manufactures three products on two machines. In a typical week, 40 hours are available on each machine. T
Kaylis [27]

Answer:

z (max)  =  1250 $

x₁  = 25    x₂  =  0   x₃  =  25

Step-by-step explanation:

                                Profit $    mach. 1      mach. 2

Product 1     ( x₁ )       30             0.5              1

Product 2    ( x₂ )       50             2                  1

Product 3    ( x₃ )       20             0.75             0.5

Machinne 1 require  2 operators

Machine   2 require  1  operator

Amaximum of  100 hours of labor available

Then Objective Function:

z  =  30*x₁  +  50*x₂  +  20*x₃      to maximize

Constraints:

1.-Machine 1 hours available  40

In machine 1    L-H  we will need

0.5*x₁  +  2*x₂  + 0.75*x₃  ≤  40

2.-Machine 2   hours available  40

1*x₁  +  1*x₂   + 0.5*x₃   ≤  40

3.-Labor-hours available   100

Machine 1     2*( 0.5*x₁ +  2*x₂  +  0.75*x₃ )

Machine  2       x₁   +   x₂   +  0.5*x₃  

Total labor-hours   :  

2*x₁  +  5*x₂  +  2*x₃  ≤  100

4.- Production requirement:

x₁  ≤  0.5 *( x₁ +  x₂  +  x₃ )     or   0.5*x₁  -  0.5*x₂  -  0.5*x₃  ≤ 0

5.-Production requirement:

x₃  ≥  0,2 * ( x₁  +  x₂   +  x₃ )  or    -0.2*x₁  - 0.2*x₂ + 0.8*x₃   ≥  0

General constraints:

x₁  ≥   0       x₂    ≥   0       x₃     ≥   0           all integers

The model is:

z  =  30*x₁  +  50*x₂  +  20*x₃      to maximize

Subject to:

0.5*x₁  +  2*x₂  + 0.75*x₃  ≤  40

1*x₁  +  1*x₂   + 0.5*x₃       ≤  40

2*x₁  +  5*x₂  +  2*x₃        ≤  100

0.5*x₁  -  0.5*x₂  -  0.5*x₃  ≤ 0

-0.2*x₁  - 0.2*x₂ + 0.8*x₃   ≥  0

x₁  ≥   0       x₂    ≥   0       x₃     ≥   0           all integers

After 6 iterations with the help of the on-line solver AtomZmaths we find

z (max)  =  1250 $

x₁  = 25    x₂  =  0   x₃  =  25

6 0
3 years ago
Determining a tangent ratio. what is the value of tan(60) ?
olasank [31]

Answer: (b) square root of 3

Step-by-step explanation:

7 0
2 years ago
Solve the problem please
Molodets [167]

Answer:

x = 9±sqrt(7)

Step-by-step explanation:

3(x-9)^2 =21

Divide each side by 3

3/3(x-9)^2 =21/3

(x-9)^2 =7

Take the square root of each side

sqrt((x-9)^2) =±sqrt(7)

x-9 =±sqrt(7)

Add 9 to each side

x = 9±sqrt(7)

4 0
2 years ago
2, 7, 7, 2, 2, 4<br> Mean<br> Median
maxonik [38]

Answer:

Mean= 4

Median= 3

Step-by-step explanation:

Mean

add all the numbers together (24)

and divide them by the number of numbers (6)

gives you 4

Median

put them in order from least to greatest

2,2,2,4,7,7

2,2  2,4   7,7

it leaves you between 2 and 4

which the middle is 3

so there

4 0
2 years ago
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