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Mathematics

1 answer:

Simora [160]2 years ago

8 0

Answer:

Step-by-step explanation:

We want to compare the pot holder hole dimension to the pot dimension. The hole diameter is the overall pot holder diameter less the wall thickness on either side:

hole diameter = (20 1/5) -2(1 2/7) = 20 -2(1) +1/5 -(2)(2/7)

= 18 +(1/5 -4/7) = 18 +(7 -20)/35 = 18 -13/35

= 17 22/35 . . . . cm

We want to compare this to 17 4/5. We can do that by using a common denominator for the fractions.

17 4/5 = 17 + (4/5)(7/7) = 17 28/35 . . . . cm

The pot has a diameter of 17 28/35 cm; the pot holder has a hole diameter of 17 22/35 cm, so the hole is smaller than the pot.

The pot will not fit into the plant pot holder.

_____

You can use your calculator to find the free space around the pot by computing ...

20 1/5 -2(1 2/7) -17 4/5 = free space = -6/35 . . . . cm

Negative space means the pot is larger than the hole.

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