The floor of the entryway to an office building will be triangular. Two angles of the triangle will measure 40°, and the side between them will have a length of 8 meters. Make a scale drawing of the entryway using a scale of 1 cm : 2 m. Explain how you made your drawing.

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

step 2

Find the length of the congruent sides of triangle

Applying the law of sines

Let

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

we have

substitute

solve for b

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

For b=5.22 m

step 3

Draw the triangle

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

answer: i guess 105 degrees?

step-by-step explanation: