If x= 19 feet and y = 12 feet, what is the area and perimeter of the figure above?

All we need to do to solve this problem is calculate the area of a rectangle and the area of a circle, then add them!

First, let's do the rectangle!

Area of a rectangle = length x width

or in this case... Area = "x" times "y"

Area = 19 × 12 = 228 square feet!

Now, let's do the circle!

Area of a circle = πr² ...      (r = radius)

* In this diagram, the diameter of the circle is also the same length as "y"!

* And remember that radius is half of the diameter.

radius = 6

Now, let's actually calculate the area

Area = π(6)² ⇒ 36π

Area = 113.1 (I rounded up the decimals!)

*But wait! Look at the figure! It looks like HALF of the circle's area was included when we calculated the area of the rectangle! This means that we should divide the area of the circle (that we just calculated) in half!

Area of the HALF CIRCLE = 113.1 ÷ 2 = 56.5

Now let's add the area of the rectangle to the area of the half-circle to find the area of THE ENTIRE FIGURE!

228 + 56.5 = 284.5

284.5 square feet is our answer!

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

c) the median for town a 30" is greater than the median for town b 25"

step-by-step explanation:

town a, median = q2 = 30

town b, median - q2 = 25

so the median for town a 30" is greater than the median for town b 25"