Find the area of the Composite Shape:

Please Help!

151.27 cm^2

Step-by-step explanation:

We can tell that the radius of the semicircle is 5 cm. This is because the diameter is 10 cm (16 cm - 6 cm).

Area of Circle:

A(c) = π/2 = π(5 cm)^2/2 = 25π cm^2/2 = 78.54 cm^2/2 = 39.27 cm^2

Area of Rectangle:

A(r) = 16 cm * 7 cm = 112 cm^2

A = A(c) + A(r) = 39.27 cm^2 + 112 cm^2 = 151.27 cm^2

Option A is the answer.

Step-by-step explanation:

Parent function of the given parabola is y = x² which passes through origin (0,0).

If we convert this function in the form of inequality y > x² then the outlines of the graph will be dotted and shaded part will be inside the parabola upwards.

Now we shift this parabola 2 unit upwards on y axis then inequality becomes y > x² + 2 ( shaded in orange color )

when we shift the parent function 6 units downwards then inequality formed will be y > x² - 6 as shown in other color.

Therefore, system of inequalities are y > x² + 2 and y > x²- 6

Option A is the answer.