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Sladkaya [172]
4 years ago
13

the area of a triangle is 384 square feet. If its base is 8 feet longer than its altitude, find the length of the base and the a

ltitude
Mathematics
1 answer:
REY [17]4 years ago
6 0
A=1/2bh
b=8+h
A=384

384=1/2(bh)
times 2
768=bh
sub
768=b(8+b)
768=8b+b^2
minus 768 both sides
0=b^2+8b-768
factor
0=(b-24)(b+32)
set to zero
b-24=0
b=24

b+32=0
minus 32
b=-32
false, legnths cannot be negative

b=24
24=8+h
minus 8
16=h

base=24ft
altetude=16ft
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<h2><u></u></h2><h2><u>Average speed</u></h2>

Given that each week, Rosario drives to an ice-skating rink that is 60 miles away, and the round-trip takes 2.75 hours, to determine, if she averages 55 miles per hour on his way to the rink, what is her average speed to return to his house, the following calculation must be made:

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