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bearhunter [10]
4 years ago
6

The graph shows the number of lawns Mark mowed over six weeks.

Mathematics
2 answers:
givi [52]4 years ago
5 0

Answer:

y=20x is correct, i took the quiz

please mark the other answer brainliest now

vaieri [72.5K]4 years ago
4 0

y = 20x

The graph passes through the origin , hence is of form

y = mx ( m is the slope )

to calculate m use the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁) = (2, 40) and (x₂, y₂) = (4, 80) ← 2 points on the graph

m = \frac{80-40}{4-2} = \frac{40}{2} = 20

y = 20x


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Answer:

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By applying Sine rule in the ΔLMN,

\frac{\text{Sin}M}{\text{NL}}=\frac{\text{Sin}N}{\text{ML}}

\frac{\text{Sin}M}{7.2}}=\frac{\text{Sin}38}{\text{4.8}}

SinM = \frac{\text{Sin}38\times 7.2}{4.8}

SinM = 0.9235

M = \text{Sin^{-1}}(0.9235)\text{Sin}^{-1} (0.9235)

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m(∠L) = 180 - 105.44

m(∠L) = 74.56°

Area of ΔMNL = \frac{1}{2}(\text{ML})(\text{NL})\text{Sin}(74.56)

                        = \frac{1}{2}(4.8)(7.2)(0.96391)

                        = 16.66 square units

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