Most staircases in use today have 9−inch treads and 8 12 −inch risers. What is the slope of a staircase with these measurements? Give your answer as a fraction or rounded to four decimal places, if necessary

The value is  

Step-by-step explanation:

From the question we are told that

    The length of the treads is  

     The length of the risers is  

Generally the slope of the staircase is

=>      

=>      

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)