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nekit [7.7K]
3 years ago
8

Given a line segment that contains the points A,B,& C in order, if AB = x + 12, and Bo2.4, and AC = 26, find x.

Mathematics
2 answers:
julia-pushkina [17]3 years ago
5 0

Answer:

According to the angle addition postulate, if B lies on AC, than AB+BC=AC.

We can use this to create this equation.

x+12+2.4=26 Where x+12 is the value of AB and 2.4 is BC.

The next step is to combine like terms, so we add 12 to 2.4 to get

x+14.4=26. When trying to find the value of a variable, you must isolate it. To do this for this equation, we must subtract 14.4 from both sides which will give you.

x=11.6

Step-by-step explanation:

jonny [76]3 years ago
4 0
The answer is x=11.6
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Fill out the tables for each scenario and answer the question that follows. Use $7.25 as the minimum wage and remember that empl
hichkok12 [17]

Answer:

  • see below for the table values
  • US labor cost: $115275 per year

Step-by-step explanation:

The labor charge is for (6 days/week). In Mongolia, the charge per laborer is then ...

  (6 days/week)($1.10/day) = $6.60/week

The three laborers working 50 weeks/year will have a labor cost of ...

  (3 laborers)($6.60/week/laborer)(50 weeks/year) = $990/year

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In the US, the labor charge per person per week is ...

  (14 hr/day)(6 day/week) = 84 hr/week

That's 40 hours of straight pay and 44 hours of overtime pay, or ...

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For 150 person-weeks per year, the total US labor charge is ...

  ($768.50/person/week)(3 persons)(50 weeks/year) = $115,275/year

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The materials cost for a year is ...

  ($50/rug)(12 rugs/year) = $600/year

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The revenue is ...

  ($2000/rug)(12 rugs/year) = $24,000/year

Profit is the difference between revenue and the total of costs:

  profit = $24,000 -($990 +600 +10000) = $12410 . . . made in Mongolia

__

So, the table gets filled as follows:

  (labor, material, fixed cost, revenue, profit)

<u>Mongolian-made</u>

  ($990, $600, $10000, $24000, $12410)

<u>US-made</u>

  ($115275, $600, $10000, $24000, -$101,875)

The US labor cost would be $115,275.

_____

<em>Comment</em>

For the given selling price, the break-even labor cost is about $1.06 per hour (on average). At US labor rates, the break-even selling price is about $10,490 per rug.

7 0
3 years ago
Can you help me solve this please ​
OLga [1]

Answer:

-22+27i

Step-by-step explanation:

i =  \sqrt{ - 1}  \\ (3 - 4i)( - 6 + i) \\  = (3 - 4 \sqrt{ - 1} )( - 6 +  \sqrt{ - 1} ) \\  = 3( - 6 +  \sqrt{ - 1)}  - 4 \sqrt{ - 1} ( - 6 +  \sqrt{ - 1} ) \\  =  - 18 + 3 \sqrt{ - 1}  + 24 \sqrt{ - 1}  - 4 \\  =  - 22 + 27 \sqrt{ - 1} \\ putting \:  \:  \:  \sqrt{ - 1 }  = i \\  =  - 22 + 27i

Hope it helps.

Don't forget to click the Brainliest button if you like my answer.

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