Abookmark is shaped like a rectangle with a semicircle attached at both ends. the rectangle is 14 cm long and 4 cm wide. the diameter of each circle is the width of the rectangle. what is the area of the bookmark? use 3.14 for π. pls due tommorrow.

Area of the bookmar = 68.56 sq.cm.

Step-by-step explanation:

It is given that the diameter of each circle is the width of the rectangle.

Therefore, each radius = = 2 cm.

Area of the 2 semi circles = 2 × 0.5 × 3.14 ×

= 4 × 3.14

= 12.56 sq.cm.

Now, area of the rectangle = length × width

= 14 × 4

= 56 sq.cm

Area of the bookmark = Area of the rectangular part + 2 × (area of the semicircular part)

= 56 + 12.56

= 68.56 sq.cm.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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