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Diano4ka-milaya [45]
3 years ago
15

A local carpet company has been hired to carpet a planetarium which is in the shape of a circle. If the radius of the planetariu

m is six yards, and the cost of the carpet is $14 per square yard, find the total cost to carpet the planetarium. (use 3.14 for π )
Mathematics
1 answer:
lapo4ka [179]3 years ago
5 0
This is the concept of application of geometry and financial mathematics; To calculate for the total cost of the carpet we proceed as follows;
Total cost=[area of the carpet]*[price per square yard]
area of carpet is given by:
Area=πr^2
where;
radius,r=6 yeards
=π*6^2
=113.1 square yards
therefore the price of the carpet will be:
113.1*14
=$1,583.4
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To check for continuity at the edges of each piece, you need to consider the limit as x approaches the edges. For example,

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\displaystyle\lim_{x\to-3^-}g(x)=\lim_{x\to-3^+}g(x)=g(-3)

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4 0
3 years ago
A cell phone tower is anchored by two cables on each side for support. The cables stretch from the top of the tower to the groun
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