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Setler [38]
3 years ago
7

What is the maximum area of a right triangle whose legs have a combined length of 10cm?

Mathematics
1 answer:
AnnZ [28]3 years ago
7 0
1/2ab is the area
a+b=10
minus a both sides
b=10-a
sub for b in other equation
1/2a(10-a)=max vol
5a-1/2a²=max vol
take deritivive
5-a=max vol dy/dx
so it is 0 at a=5
it changes from positive to negative slope at a=5
a=5 is the max vol

then
b=10-a
b=10-5
b=5

the area is 1/2*5*5=25/2=12.5 square cm
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At the afternoon matinee movie, 2 adult tickets and 4 child tickets cost $32, and 4 adult tickets and 3 child tickets cost $44.
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Step-by-step explanation:

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3 years ago
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Given:

4x + 7 = 23

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Next Step:

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ANSWER:

x = 4

4 0
1 year ago
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