The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance
between them is 0.8 m.
1.

0.88m²

Step-by-step explanation:

Area of a trapezium = 1/2(a+b)h

a and b are the parallel sides

h is the height

Given

a = 1m

b = 1.2m

h = 0.8m

Substitute

Area of the trapezium = 1/2(1+1.2)(0.8)

Area of the trapezium = 1/2(2.2)(0.8)

Area of the trapezium = 1.1 * 0.8

Area of the trapezium = 0.88m²

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: