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natita [175]
2 years ago
14

18. A glasscutter needs to cut rectangular pieces of

Mathematics
1 answer:
ololo11 [35]2 years ago
4 0

For the cut glass pieces to be rectangular in shape, the glass cutter should ensure:

  1. All four interior angles = 90° each.
  2. Opposite sides are parallel and equal to each other.
  3. Diagonals should be of the same length and should bisect each other.

<h3>Properties of a Rectangle</h3>
  • All four angles of a rectangle are 90° each.
  • There are two pairs of parallel sides that are equal in length.
  • The diagonals bisect each other and are of equal length.

Thus, to ensure the cut glass pieces are rectangular in shape, he should ensure the following:

  1. Make the four interior angles 90° each.
  2. The opposite sides should be parallel and equal to each other.
  3. The diagonals should be of the same length and should bisect each other.

Learn more about properties of rectangle on:

brainly.com/question/2835318

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Since in this particular scenario, the order of the numbers matter, we can use the Permutation Formula:–

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2 years ago
Sally bought some candy bars for $1.25 each and some sodas for $1.49 each. If she bought a total of 38 items and spent $50.38 ho
hammer [34]

Answer:

26 candy bars and 12 sodas

Step-by-step explanation:

This problem can be solved by a simple system of equations

I am going to call x the number of candy bars that Sally bought and y the number of sodas that Sally bought.

The fact that she bought 38 itens means the x + y = 38.

She spent $50.38. The value she spent is the sum of the number of candy bars multplied by the value of the candy bar and the number of sodas multiplied by value of a soda. So 1.25x + 1.49y = 50.38

So we have to solve the following system:

1)x + y = 38

2)1.25x + 1.49y = 50.38

From 1), we have that x = 38 - y. I am going to replace it in 2)

1.25(38-y) + 1.49y = 50.38

-1.25y + 1.49y = 50.38 - 47.5

0.24y = 2.88

y = 12.

Sally bought 12 sodas.

In 1: x = 38-y = 38-12 = 26

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Answer:

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Step-by-step explanation:

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