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Mamont248 [21]
3 years ago
13

Weights of different sandwiches in two lengths are shown in the table.

Mathematics
1 answer:
Alexandra [31]3 years ago
6 0

Answer:

Egg salad sandwich is proportional to its length

Step-by-step explanation:

Weight of Sandwiches by Length of Roll

                                        6-inch Roll      12-Inch Roll

Cheese sandwich               \frac{1}{4}                      \frac{3}{4}

Chicken salad sandwich     \frac{3}{4}                     1\frac{3}{4}

Egg salad sandwich            \frac{2}{3}                   1\frac{1}{3}

For cheese sandwich proportion

\frac{6}{\frac{1}{4}}=\frac{12}{\frac{3}{4}}\\24 \neq 16

So, Cheese sandwich weight is not proportional to its length

For Chicken salad sandwich proportion

\frac{6}{\frac{3}{4}}=\frac{12}{\frac{7}{4}}\\8 \neq \frac{48}{7}

So, chicken salad sandwich is not proportional to its length

For Egg salad sandwich  proportion

\frac{6}{\frac{2}{3}}=\frac{12}{\frac{4}{3}}\\9=9

So, egg salad sandwich is proportional to its length

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Answer:

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Step-by-step explanation:

Let’s just look at the triangle on the top with the \sqrt{10} on the top and x on the bottom. (Basically the top half to the equilateral triangle)

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We know that \sqrt{10} is our hypotenuse, and therefore our c in our equation. Let’s say that x=a in our equation. Therefore we are left to find b. However, b is half the length of the side of the original equilateral triangle. An equilateral triangle means that all three sides are the same length. Therefore our side would also be \sqrt{10} units long. However we know that b is half of that value, so b=\frac{1}{2}(\sqrt{10}) or \frac{\sqrt{10} }{2}

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2 years ago
Read 2 more answers
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