Given the rectangular solid, rs = 6, st = 3, and sl = 4. solve for kt.

First thing is that you need to find the diagonal of the rectangle

but remember is it a horizontal rectangle.

So let's start it :)

d= √6²+3²

d= √36+9

d= √54

d= 6.7082

But wait.. we are not done yet

We need to solve KT

we have 6.7082 which is the base and we have SL=4 which is the height

so with this 2 information we can find KT

KT is the hypotenuse because when you draw the line from K to T you'll see that it is the longest line.

Use the hypotenuse formula which is

C = √a²+b²

Now replace C by KT since we are solving for KT instead of C. Got it ?:)

KT= √6.7080²+4²

KT= 7.81

I do it with decimals so it might be little bit confusing to you but I think you can solve that different ways :)

Well I hope that's help and if not I am so sorry.

i can you, i love poetry

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