Aladder is leaning against a building. the distance from the bottom of the ladder to the building is 44 ft shorter than the length of the ladder. how high up the side of the building is the top of the ladder if that distance is 22 ft less than the length of the ladder?

88 ft

Step-by-step explanation:

Let l = the length of the ladder and

l - 44 = the distance along the ground and

l - 22 = the height on the building

We have a right triangle, so we can apply Pythagoras' Theorem.

We must find numbers that multiply to make 2420 and add to make -132.

Some trial-and-error will give you the numbers -110 and  -22.

-110 × (-22) = 2420 and  

-110 + (-22) = -132

Then

l - 22 = 0     l - 122 = 0

      l = 22             l = 110

We reject l = 22, because that would make the height of the ladder equal to zero.  

Height of ladder = l - 22 = 110 - 22 = 88 ft.

the forst and 3rd

step-by-step explanation:

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: