To the lovers of math: challenge :
a company manufactures high-powered fountains that can be used to create elaborate water shows set to light and music. the company makes three models of
fountains, each of which can launch a vertical stream of water to a different height, as indicated in the table below. model a model b model c
height 77 100 240
time to fall (s) 2.194,
initial velocity 70.2 , 123.9
complete the following tasks, filling in the missing values in the table as you find them: (1)find the time water would take to fall from each height in the table back to its starting level.(2)find the initial upward velocity required for fountain b to launch the water to its maximum height(3)create a function that will give you the minimum initial upward velocity ,v ,required to launch water to any given height , h. you

I am only in the seventh grade so it might not be right, but this is what I would do:

Set up a proportion: 77/2.194/70.2 = 100/x/y = 240/z/123.9

Then solve for x: if 77 equals 100, that means 2.194 is 77% of x. So x equals 2.849350649

*the 350649 repeats

Then solve for y: Like mentioned before 70.2 is going to only be 77% of y, so if you set that up in a proportion, it is: 70.2/77 = y/100. So when you solve you get 91.16883116883117...

Then finally we solve for z: 100 is only 41.6% of 240, so that means 2.849350649 is only 41.6% of z. So then we set it up as a proportion: 141.6/100 = z/2.849350649, then we solve. It equals 4.034680518984.

Sorry if my answer was redundant, but hope this helped!

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.