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3 years ago

How will fit in the box

Mathematics

2 answers:

liubo4ka [24]3 years ago

8 0

I think 9 I'm not for sure..

r-ruslan [8.4K]3 years ago

6 0

12 will fit in the box for number 1

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If the sum of the legs of a right triangle is 49 inches and the hypotenuse is 41 inches, find the length of the other two sides

german

The length of one leg is x inches.
The sum of the legs is 49 inches, so the length of the other leg is 49-x inches.
The length of the hypotenuse is 41 inches.

Use the Pythagorean theorem:
$(\hbox{one leg})^2 + (\hbox{the other leg})^2=(\hbox{hypotenuse})^2 \\ x^2+(49-x)^2=41^2 \\
x^2+2401-98x+x^2=1681 \\
2x^2-98x+2401=1681 \ \ \ |-1681 \\
2x^2-98x+720=0 \\ \\
a=2 \\ b=-98 \\ c=720 \\ b^2-4ac=(-98)^2-4 \times 2 \times 720=9604-5760=3844 \\ \\
x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-(-98) \pm \sqrt{3844}}{2 \times 2}=\frac{98 \pm 62}{4} \\
x=\frac{98-62}{4} \ \lor \ x=\frac{98+62}{4} \\
x=\frac{36}{4} \ \lor \ x=\frac{160}{4} \\
x=9 \ \lor \ x=40$

$
49-x=49-9 \ \lor \ 49-x=49-40 \\
49-x=40 \ \lor \ 49-x=9$

The lengths of the legs are 9 inches and 40 inches.

4 0

4 years ago

Graph a parabola whose vertex is at (3, 5) with y-intercept at y= 1

astraxan [27]

Step-by-step explanation:

Substituting into vertex form, the equation is:

y = a(x-3)^2 + 5

The y-intercept is when x=0, so substituting this in,

1=a(0-3)^2 + 5

-4 = 9a

a=-4/9

4 0

2 years ago

HELP ASAP with this question

mihalych1998 [28]

A, the student failed to distribute. In his step one, he got 3x + 2 =y, but it's actually 3x + 6 = y

I got this by distributing 3 to both x and 2, which is 3x and 6.

8 0

3 years ago

The mariana trench in the pacific ocean is about 36,201 feet deep. the puerto rico trench n the atlantic ocean is about 27,493 f

sleet_krkn [62]

Do you know how to draw a bar graph?
Or model.
It's not something I can draw on this. But for purposes of helping you find how many feet deeper the Marina to the Puerto Rico trench

36,201 minus 27,493

8 0

4 years ago

Read 2 more answers

Please help 22 points

disa [49]

Answer:

8/15

Step-by-step explanation:

4/5 x 2/3 = 8/15

4/5 x 2/3 = 0.5333

hope this helps ^w^

3 0

3 years ago

Read 2 more answers