the area of a trapezium is 240 cm² 97 the parallel side is 24 and 36 cm long find the distance between them.

 8 cm

Work Shown:

Let's solve for h in the formula below

A = 0.5*h*(b1+b2)

240 = 0.5*h*(24+36)

240 = 0.5*60*h

240 = 30h

30h = 240

h = 240/30

h = 8

The height of the trapezium is 8 cm. This is the distance between the two parallel sides.

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

40 minutes

step-by-step explanation:

add the time and multiply by 2