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Contact [7]
3 years ago
10

PLEASE ANSWER, I WILL MARK BRAINLYEST. IF YOU PUT AN ABSURD ANSWER I WILL REPORT. 50+ POINTS

Mathematics
2 answers:
puteri [66]3 years ago
8 0

Answer:

The umbrella will fit in, but there will be a lot of extra room.

Step-by-step explanation:

Remember the Pythagorean theorem:

x^(2) + y^(2) = n^(2)

where "x" and "y" are the legs of the right triangle and "n" is the hypotenuse

In this problem it is given that the sides (legs) are:

38in, and 24in

and diagonally across is 29in

so the hypotenuse is 29in

therefore we can form the equation:

38^(2) + 24^(2) = 29^(2)

without solving it is clear that

38^(2) + 24^(2) > 29^(2)

because 38 is a leg, but it is greater than 29, which means that 38 - 24 - 29 is not a Pythagorean triple,

but because 38 > 29, then the 29 in umbrella will fit into the suitcase, but it will not be a snug fit, there will be a lot of extra room

nalin [4]3 years ago
6 0

Answer:

see below

Step-by-step explanation:

The umbrella should fit

The umbrella is the diagonal in a right triangle so we can use the Pythagorean theorem

a^2+b^2 = c^2

18^2 + 24^2 = c^2

324 + 576 = c^2

900 = c^2

Take the square root of each side

sqrt(900) = sqrt(c^2)

30 =c

As long as the umbrella is less than 30 inches, it should fit

The umbrella is 29 inches so it should fit

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Lets substitute those fractions and subtract:
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We have a negative fraction and have to subtract it from the whole part, we can convert the whole part to be divided by 48 as well, so the subtraction is easy:
6 = (48/48)(6) = (48*6)/(48) = 288/48
susbstitute:
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