Uca is designing a propeller system that consists of 3 blades, each of which is
identical. the blades are sectors of a circle that have radii of 4 inches and central
rangles of 20" the blades are to be made from steel that weighs 16 grams per square
inch. determine the weight of the three blades together to the nearest gram.
201

The weight of the three blades together is

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

we have

assume

substitute

step 2

Find the area of the 3 blades

we know that

The area of the 3 blades represent a central angle of 60 degrees, so

its a 1/6 of the area of complete circle

step 3

Find the weight of the three blades together to the nearest gram

360 different combinations

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.