Emily made a sketch of an octogonal window on a 27-inch square piece of paper. first she cut four identical isosceles triangles from the corners of the paper. then she cut a square from the center of the octagon. each leg of a cut off triangle in 1/3 the length of the paper. the dude length of the cut out square is also 1/3 the length of the paper. what’s the area of the sketch after she removed he triangles and the square?

the area of the piece of paper =   27- inch square.

so, the length of the square piece of paper = = .

the side of the triangle cut = =

also the side of the small square cut =

so, the area of each triangle cut = 1/2 * .

so, the area of 4 triangles cut =

area of a small square cut =

total area of 4 triangles cut and a small square cut = 6+3 = 9 square inches.

reaming area of the octagonal window   = 27 - 9 = 18 square inches.

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: about 22.67

step-by-step explanation: