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Paladinen [302]
3 years ago
11

Explain how u got the answer

Mathematics
1 answer:
valentina_108 [34]3 years ago
7 0

Answer:

Volume of square and rectangle:

L*W*H

square:

12*6*12 = 864 inches

rectangle:

18*8*10 = 1,440 in

Add

1,440 + 864 = 2,304 in^3

Hope this helped

Step-by-step explanation:

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\text{substitute to the second equation}\\\\a(a+9-a)(a+2(9-a))=585\\\\a(9)(a+18-2a)=585\\9a(18-a)=585\ \ \ |:9\\a(18-a)=65\\18a-a^2=65\ \ \ |\text{change the signs}\\a^2-18a=-65\\a^2-2a\cdot9=-65\ \ \ |+9^2\\\underbrace{a^2-2a\cdot9+9^2}_{(a-b)^2=a^2-2ab+b^2}=-65+9^2\\(a-9)^2=16\to a-9\pm\sqrt{16}\\a-9=-4\ \vee\ a-9=4\ \ \ |+9\\a=5\ \vee\ a=13\\\\d=9-5=4\ \vee\ d=9-13=-4
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