Abookmark is shaped like a rectangle with a semicircle attached at both ends. the rectangle is 15 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
plz very confusing

72.56 square cm

Step-by-step explanation:

Area of rectangle = 15 · 4

Area of rectangle = 60

semi-circles at each end of rectangle equals one full circle

Area of circle = π · r²

Area of circle = π · 2²

Area of circle =  4π

Area of circle = 4(3.14) = 12.56

Add area of rectangle to area of circle:

60 + 12.56 = 72.56

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

80

step-by-step explanation: