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Feliz [49]
3 years ago
8

Find the area of the missing piece of the polygon and explain your process for finding it:

Mathematics
1 answer:
rusak2 [61]3 years ago
6 0

Answer:

The area of the polygon is 42cm^{2}.

Step-by-step explanation:

A polygon is a shape that has three or more sides. They are named with respect to the number of their sides. Example, an octagon has 8 sides, hexagon has 6 sides etc.

From the given figure, the area of the shaded polygon can be calculated by;

Area of polygon = Area of square - Sum of areas given

Sum of areas given = 24 + 30 + 48

                                = 102cm^{2}

The four sides of the figure are equal, thus it is a square. The length of each side is 12 cm, so that:

Area of square = length × width

                        = 12 × 12

                       = 144cm^{2}

Area of polygon = 144 - 102

                           = 42cm^{2}

The area of the polygon is 42cm^{2}.

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y ≤ –6x + 21

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Without multpilying tell which is greater 4/5 x 45 or 2/3 x 45. Explain
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2 years ago
When a number is doubled, the result is 48. What is the number
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The number u looking for is 28
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3 years ago
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A new American graduate is contemplating buying a
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Answer:

The best option is to buy Japanese Car.

Step-by-step explanation:

Fuel usage per year is 150000/ 8 = 18750 miles per year

Fuel cost (year 1 -8) = $3.0, $3.06, $3.12, $3.18, $3.25, $3.312, $3.38, $3.5

Japanese Car:

Fuel usage 18750 / 23 = 815 * $3 = $2446

Fuel charges (year 1 -8) = $2445, $2494, $2623, $2758. $2900, $3050, $3207, $3372

Repair Cost (year 1 - 8) = $700, $721, $742, $764, $787, $811, $835, $860

Insurance cost (Year 1 - 8) = $700, $714, $728, $742, $757, $772, $788, $804

Present value of cost at 5% = 24674.07

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Total cost = $54674.07

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Cost $35,000

Fuel usage 18750/20 = 937.5 * $3 per gallon = $2812.5.

Fuel charges (year 1 -8) = $2812, $2913, $2986, $3011. $3098, $3124, $3176, $3208

Repair Cost (year 1 - 8) = $800, $894, $921, $978, $1109, $1176, $1207, $1301

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Cost of car is $35,000

Total cost = $60302.

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Cost = $45,000

Fuel usage 18750 / 21 = 892 * $3 = $2678

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Repair Cost (year 1 - 8) = $1000, $1040, $1081, $1124, $1169, $1216, $1265, $1316

Insurance cost (Year 1 - 8) = $850, $867, $884, $902, $920, $938, $957, $976

Present value of cost at 5% = 27105.73

Cost of car is $45,000

Total cost = $72105.

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