Find the area of the shaded region. oh=12.3 inches and ot=16.7 inches

The area of the dark region is found by determining the area of the larger circle and that of the smaller, and then subtracting the area of the larger from the area of the smaller.

This works out to π(16.7 in)^2 - π(12.3 in)^2, or

π(278.89 in^2 - 151.29 in^2) = 127.6π in^2 (answer)

D.

Step-by-step explanation:

We have been given an image of two concentric circles. We are asked to find the area of shaded region.

The area of shaded region would be area of bigger circle minus area of smaller circle.

Therefore, the area of shaded region is 400.7 square inches and option D is the correct choice.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true