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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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Solve the system of equations by using the addition method
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How do you solve this system of equations using the addition method:
4
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−
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Algebra
1 Answer


IDKwhatName
Jun 30, 2017
x
=
−
2
,
y
=
−
4
Explanation:
Right now, you have:
4
x
−
y
=
−
4

5
x
+
2
y
=
−
18
To make this easier, you must get rid of one variable, in this case I will remove
y
, to do this you must make the y-values in both equations the same.
To do this, I will multiply the whole of
4
x
−
y
=
−
4
by 2 to give
8
x
−
2
y
=
−
8
We now have:
8
x
−
2
y
=
−
8

5
z
+
2
y
=
−
18
All we need to do now is
(
8
x
−
2
y
+
5
x
+
2
y
)
=
(
−
18
−
8
)
≡
13
x
=
−
26
.
Divide both sides by 13 to find
x
:
13
x
=
−
26

13
x
13
=
−
26
13

x
=
−
2
Now put your value for
x
into either equation:
4
(
−
2
)
−
y
=
−
4

−
8
−
y
=
−
4

y
=
−
8
+
4

y
=
−
4
x
=
−
2
;
y
=
−
4
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7 0
2 years ago
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