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AlladinOne [14]
4 years ago
9

In ΔKLM, k = 1.8 inches, ∠M=27° and ∠K=116°. Find the length of l, to the nearest 10th of an inch.

Mathematics
2 answers:
irina [24]4 years ago
6 0

Answer:

1.2 inches

Step-by-step explanation:

Since total angle in a triangle is 180,

∠L = 180 - ∠K - ∠M

∠L = 180 - 116 - 27

∠L = 37°

Using sine law:

k/sinK = l/sinL

1.8/sin(116) = l/sin(37)

l = sin(37) × 1.8/sin(116)

l = 1.205245013

irina [24]4 years ago
4 0

Since total angle in a triangle is 180,

∠L = 180 - ∠K - ∠M

∠L = 180 - 116 - 27

∠L = 37°

Using sine law:

  • k/sinK = l/sinL

1.8/sin(116) = l/sin(37)

l = sin(37) × 1.8/sin(116)

l = 1.205245013

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The point which is not included in the solution set for the inequality of the two-variable inequality shown in the graph is (-1,3).

<h3>How to graph the inequality?</h3>

Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.

A two-variable inequality is shown in the graph. It is a parabola.  The vertex form of parabola is the equation form of quadratic equation which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.

The standard equation of the vertex form of parabola is given as,

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Here, (h, k) is the vertex point. In the graph, vertex points are (1,2). Thus, the equation become,

y=a(x-1)^2+2\\

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Thus, the equation become,

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The graph of this line is attached below. In this graph only point (-1,3), does not fall hence, does not satisfy the equation.

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Learn more about the graph of the inequality here;

brainly.com/question/62792

#SPJ1

5 0
2 years ago
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4 years ago
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8 0
3 years ago
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White raven [17]
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Here:

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