Afloor tile is a regular hexagon with 6-inch sides and area of 93.5 square inches. to fit against a wall, one tile must be cut in half as shown below. what is the length of the vertical cut? round your answer to the nearest tenth.

The length of the vertical cut is 10 cm.

Step-by-step explanation:

Firstly we will divide our triangle into 6 equilateral triangles by making the 3 diagonals of  a hexagon.

and then finding the height of any one of the triangle by using the Pythagorean theorem and hence calculating the vertical length by doubling the calculated height.

Here we are given an hexagon which each side equal to 6 inches.

Hence from the figure we will calculate the length of the side AC using Pythagorean theorem.

since AB=3 in. , BC=6 inches.

Hence,

Hence length of AC=5 inches.

hence, the length of the vertical cut is 10 cm.

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: