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grigory [225]
3 years ago
7

Toni’s table is 96 inches in diameter. If she covers her circular table with a table cloth that extends 6 inches over the edge o

f the table, what is the area of the table cloth? Leave your answer in terms of π.
Mathematics
1 answer:
viktelen [127]3 years ago
4 0

Answer:

2916π in^2

Step-by-step explanation:

Step one:

given data

initial table diamter= 96in

we are told that the extension is 6 in over the edge

the new diameter is = 96+6+6= 108in

the radius is = 108/2=54in

we added 6 twice because it will be on the two sides of the diameter

Step two:

the expression for the area is

Area= πr^2

Area=  π*54^2

Area= 2916π in^2

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Let angle b be x

Therefore angle c will also be  x [as given b and c are equal] and angle a will be x - 42°.
Now as we know that the sum of the measures of the angles of a triangle is 180° therefore,

x + x + x - 42° = 180°

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8 0
1 year ago
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Ciao, come stai?

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