21. A Figure is shown below.
What is the area of the figure, in square inches?

Step-by-step explanation:

The figure consists of a square and a sector. We can add the areas of the square and sector to get the total area of the figure.

The area of a sector with measure in a circle of radius is equal to . Since there are 360 degrees in a circle and 90 degrees in each corner of a square, the measure of the sector is .

Thus, its area is:

.

The area of a square with side length is given by . Therefore, the area of the circle is and the total area of the figure is

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.