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Gennadij [26K]
3 years ago
5

The water level of a tank every minute since it began filling is indicated by segments A, B, and C on the graph below.

Mathematics
1 answer:
pshichka [43]3 years ago
7 0

Answer:

B C A

Step-by-step explanation:

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44.47 cm² (nearest hundredth)

Step-by-step explanation:

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⇒ AB² + BC² = AC²

⇒ 7² + 6² = AC²

⇒ AC² = 85

⇒ AC = √85 cm

Cosine rule to find length AD:

      c² = a² + b² - 2 ab cosC

⇒ DC² = AD² + AC² - 2(AD)(AC)cos(DAC)

⇒ 9.2² = AD² + (√85)² - 2(AD)(√85)cos 73°

⇒ AD²  - 5.39106...AD + 0.36 = 0

⇒ AD = 5.323442445, 0.06762541414

⇒ AD = 5.323442445

Area of a triangle ADC: (1/2)absinC

(where a and b are adjacent sides and C is the angle between them)

⇒ area = (1/2) × AC × AD × sin(DAC)

⇒ area = (1/2) × √85 × 5.323442445 × sin(73°)

⇒ area =23.4675821... cm²

Area of quadrilateral = area of ΔABC + area of ΔADC

                                   = 21 + 23.4675821...

                                   = 44.47 cm² (nearest hundredth)

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Hey there
75/2=37.5
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The other orange from farmer B is 1.1 more oz than farmer A’s oranges
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