A 3 cm x 3 cm rectangle sits inside a circle with radius of 4 cm.

What is the area of the shaded region?

Round your final answer to the nearest hundredth.

3 cm

4 cm

3 cm

cm2

41.24cm²

Step-by-step explanation:

See attachment for the figure

First is to find area of rectangle

Given:

Length of rectangle 'l'= 3cm

breadth of rectangle 'b'= 3cm

Area of rectangle= l x b= 3 x 3=> 9cm²

Next is to find the area of the circle

Given:

radius 'r'= 4cm

Area of circle= πr² => π4² =>50.24cm²

Required:

area of the shaded region=?

area of the shaded region=  area of the circle - area of the rectangle

area of the shaded region= 50.24 -9 =>41.24cm²

Therefore, area of the shaded region is 41.24cm²

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation:

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.