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Archy [21]
2 years ago
6

Help, please!!! What is the mN?

Mathematics
1 answer:
lisov135 [29]2 years ago
8 0

Answer:

61°

Step-by-step explanation:

Given:

∆MNO,

Side MO (n) = 18

MN (o) = 6

m<O = 17°

Required:

m<N

Solution:

Using the sine rule, \frac{sin N}{n} = \frac{sin O}{o} , solve for N.

Plug in the values of M, n, and m

\frac{sin N}{18} = \frac{sin 17}{6}

Cross multiply

6*sin(N) = sin(17)*18

6*sin(N) = 0.292*18

Divide both sides by 6

\frac{6*sin N}{6} = \frac{0.292*18}{6}

sin N = \frac{0.292*18}{6}

sin N = \frac{5.256}{6}

sin N = 0.876

N = sin^-1(0.876)

N = 61.16

m<N ≈ 61°

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a)

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b)

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40.51x+12.45y=666.64
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Answer:

The graph of the equation 40.51x+12.45y=666.64 is attached with the answer where the horizontal axis represents the X axis and the vertical axis represents Y axis.

To plot the graph physically just find two points lying on the line. Mark the points on the graph sheet and then join them. This will give you the line represented by the equation.

To find points on the line assume the value of any one variable, substitute it in the equation, then solve the equation to find the value of other variable. For example : assume y = 1; substitute the value of y in the equation;

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