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babymother [125]
3 years ago
6

Plot the inequality on the number line. −6

Mathematics
2 answers:
tatiyna3 years ago
8 0
Is there any more to the problem?
Leokris [45]3 years ago
6 0

-6 would be behind the 0 and about 6 numbers away

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The floor of the entryway to an office building will be triangular. Two angles of the triangle will measure 40º, and the side be
ruslelena [56]

Answer:

The drawing in the attached figure

Step-by-step explanation:

we know that

An isosceles triangle, has two equal sides and two equal interior angles

In this problem, the floor of the entryway to an office building is in the shape of an isosceles triangle

step 1

Find the measure of the vertex angle

Remember that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

Let

x ---> the measure of the vertex angle of triangle

x=180^o-2(40^o)=100^o

step 2

Find the length of the congruent sides of triangle

Applying the law of sines

Let

c ----> the length of one congruent side

\frac{a}{Sin(A)}=\frac{b}{Sin(B)}

we have

a=8\ m\\A=100^o\\B=40^o

substitute

\frac{8}{Sin(100^o)}=\frac{b}{Sin(40^o)}

solve for b

b=\frac{8}{Sin(100^o)}(Sin(40^o))

b=5.22\ m

step 2

Make a scale drawing of the entryway

The scale drawing is 1 cm : 2 cm

That means

1 cm in the drawing represent 2 cm in the actual

or

1 cm in the drawing represent 0.02 m in the actual

Find the dimensions in the drawing

For a=8 m

8\ m=8/0.02=400\ cm

For b=5.22 m

5.22\ m=5.22/0.02=261\ cm

step 3

Draw the triangle

see the attached figure

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Step-by-step explanation:

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