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Nana76 [90]
3 years ago
9

Please help!! I need to know this by today

Mathematics
2 answers:
Lera25 [3.4K]3 years ago
8 0
X=18
y=17
hence sum is 35
mario62 [17]3 years ago
6 0
Answer=60

Since the base of the prism is a right triangle, we can use the pythagorean theorem to solve for x.

a²+b²=c²
plug in the data
a²+24²=30²
a²+576=900
subtract 576 from both sides
a²=324
sq root
a=18
So x=18


The formula for the volume of a triangular prism is...

V=(area of the base)*(height)
V=1/2bh*H      where b=base of triangle h=height of triangle, H=height of prism
plug in the data that we know
720=1/2*18*24*H
720=216*H
divide both sides by 216
3 1/3=H

So x=18 and y=3 1/3 or 3.33 repeating

The product of the two

18*3 1/3=60

Answer=60


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