IA triangular parking lot is paved outside a new shopping center. The lengths of the sides of the parking lot are 100 meters, 113 meters, and 86 meters. What is the area of the parking lot..Step by step explanation..Please..

Step-by-step explanation:

I believe the only way to solve this is by Heron's Formula.

Add up all the sides and divide by 2 to get the semi-perimeter:

113+100+86 = 299

299/2 = 149.5

Now fill in the rest, which looks like this:

where s is your semiperimeter value, a is the length of one side, b the length of another side, and c the length of the third side:

which simplifies to

which simplifies further to

which, on your calculator, is 4141.49 meters squared (that's rounded to the nearest hundredth).

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