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andreyandreev [35.5K]
3 years ago
13

The Toblerone company packages chocolate candy in a container that is a triangular prism. The base is an

Mathematics
1 answer:
dolphi86 [110]3 years ago
8 0

Answer:

76017.69 mm²

631000 mm³

295045.04 mm³

Step-by-step explanation:

Surface area = bh + 2ls + lb

Since the sides of the triangular prism are equal (equilateral triangle) = 60 mm each

Height = 405 mm

The surface area of triangular = 76017.69 mm

The volume of triangular prism :

1/2 * base * height * length

Volume = 631000 mm³

If amount of chocolate inside = 335954.96 mm3

Empty space =

Volume of triangular prism - amount of chocolate inside

631000 - 335954.96

= 295045.04 mm³

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So hmm notice the graph below

based on where the focus point is at, and the directrix, then, the parabola is opening upwards, meaning the squared variable is the "x"

\bf \begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})}\\
\end{array}
\qquad 
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now, keep in mind, the vertex is at coordinates h,k
the vertex itself is half-way between the focus and directrix
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so, half-way will then be \bf \cfrac{17}{8}-\cfrac{15}{8}=\cfrac{2}{8}\iff \cfrac{1}{4}

well, so is 1/4 between the focus point and the directrix, half of that is 1/8
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what's the "p" distance? well, we just found it, is just 1/8

so, the x-coordinate is obviously -4, get the y-coordinate by 17/8 - 1/8   or 15/8 + 1/8

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4 0
3 years ago
Write an expression y+3y-2y=​
nasty-shy [4]

Answer:

3y=2y

Step-by-step explanation:

Im not sure if this is the answer your looking for but I hope this helped. I tried tho lol :)

4 0
2 years ago
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Marianna [84]

Answer: P=130

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Step-by-step explanation:

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2(L-3) + 2L=130

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4L=136

4L/4=136/4

L=34

W=L-3

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3 years ago
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