Please show work if you can so I can fully understand the problem thanks

area = 1539√3 in²

Step-by-step explanation:

three hexagons and one triangle:

each of the three hexagons are composed of 6 equilateral triangles just like the center triangle.

So you have 19 equilateral triangles with each side being 18 inches long.

The height (h) of a triangle will be:

h² = 18² - 9² = 324 - 81 = 243

h = √243

h = 9√3

area of one triangle = 1/2bh = (1/2)(18)(9√3) = 81√3

81√3(19 triangles) = 1539√3 in²

all three statements are true

step-by-step explanation:

a shipping fee of 5% is charged online with every item purchased online

first let's just take each option and calculate them based on this, to see if the answers matched

keith buys a 40 dollar book

40 x 0.05 = 2

therefore there will be a two dollar fee on keith's book

40 + 2 =42

the first statement is true

a chair costs $80

80 x 0.05 = 4

80 + 4 = 84

the second statement is true

george buys a 20 dollar calculator

20 x 0.05 = 1

20 + 1 = 21

the third statements are true

all three statements are true