Find the area of each figure. Round to the nearest hundredth where necessary. Only 1 and 5 please!

Mathematics

1 answer:

Alex787 [66]3 years ago

6 0

Answer:

See below

Step-by-step explanation:

To begin, it is volume, not area

1. 8 x 12 x 17 = 1632 in ^3

5. 9 x 9 x 13.5 = 1093.5 in^3

If you want to find SURFACE AREA:

1. 2(8 x 12) + 2(8 x 17) + 2(17 x 12) = 872 in^2

5. 2(9 x 9) + 4(9 x 17) = 774 in^2

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sveticcg [70]

We want to check how many intersections line A and B have, that is, we want to check how many common solutions do these equations have:

i) 2x + 2y = 8

ii) x + y = 4

use equation ii) to write y in terms of x as : y=4-x,

substitute y =4-x in equation i):

2x + 2y = 8
2x + 2(4-x) = 8
2x+8-2x=8
8=8

this is always true, which means the equations have infinitely many common solutions.

Answer: There are infinitely many solutions.

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3 years ago

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LuckyWell [14K]

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about the second one... well, is a "fait accompli" that using the pythagorean theorem, if x = 8 and y = 5, the hypotenuse must be √(8² + 5²) = √(89), which is neither of those choices.

5, 8, 13 are no dice, namely 5² + 8² ≠ 13

25, 64, 17 is are no dice too, because 25² + 17² ≠ 64²

however, 5,12 and 13 are indeed a pythagorean triple

also is 39, 80, 89.

when looking for a pythagorean triple, recall that c² = a² + b².

so the longest leg is the sum of the square of the small ones.

so what you'd do is, check the small legs, square them, add them up, if they're indeed a pythagorean triple, they "must" add up to the longest leg.

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3 years ago

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Orlov [11]

Answer: $A=944\ ft^2$