Aradio tower that is 34m tall is mounted on top of a building. the combined height of the building and the radio tower is 130m. how tall is the building?

The height of Building = 96m

Explanation:

Given:

The height of Radio Tower = 34m  

The height of building and height of radio tower is 130m

To find:

The height of the building=?

Solution:

Height of building+ height of radio tower = 130m

Now substituting the value of height of radio tower in the above equation

Height of building +34m = 130m

Height of building = 130-34

Height of building = 96m

Hence the height of Building  is  96m

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

many reason,

step-by-step explanation: