A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building. A right triangle with side length 6 feet, hypotenuse 14 feet, and side h. In feet, how high up the side of the building is the top of the ladder? Round to the nearest tenth of a foot.

The ladder is approximately 12.65 feet high on the building.

Step-by-step explanation:

Since the ladder forms a right triangle with the building, we can apply Pythagora's theorem to calculate the last side, this is done below:

The ladder is approximately 12.65 feet high on the building.

12.6

Step-by-step explanation:

I rounded to the nearest tenth of a foot like it said to :)

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.

x/3-10=8

x/3=18

x=48