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ki77a [65]
3 years ago
13

Can i plz plz get some help with this

Mathematics
1 answer:
vitfil [10]3 years ago
3 0
Answer: -2/6 or -1/3
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the lateral area of a cone with a diameter of 15 yards is about 287.5 square yards. to the nearest tenth, what is the slant heig
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Lateral area of the cone is given by:
LA=πr√(h²+r²)
where:
h=height
r=radius
Given that LA=287.5 yd² and r=(15/2) yds, then the height will be:
287.5=7.5π√(h²+7.5²)
solving for h we get:
(287.5/7.5π)²=h²+7.5²
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 To get the slant height we use Pythagorean theorem.
c²=a²+b²
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thus
c²=h²+7.5²
c²=63.1851597+56.25
c²=119.4351597
c=10.92864~10.9 yards
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