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frutty [35]
3 years ago
5

Durante uma atividade de Matemática, professora Julieta distribuiu a cada um de seus alunos 4 canudinhos com medidas 2 cm, 3 cm,

7 cm e 8 cm. Nessa atividade, os alunos de Julieta tinham que construir triângulos com esses canudinhos, sem cortá-los.
Quantos triângulos distintos cada um dos alunos de Julieta puderam formar com esses canudinhos?
Mathematics
1 answer:
notsponge [240]3 years ago
6 0

Answer:

  • 2 different triangles

Step-by-step explanation:

  • <em>During a mathematics activity, teacher Julieta distributed to each of her students 4 straws measuring 2 cm, 3 cm, 7 cm and 8 cm. In this activity, Julieta's students had to build triangles with these straws, without cutting them. </em>
  • <em>How many different triangles could each of Julieta's students form with these straws?</em>

==========================================================

  • <em>Triangle inequality theorem says that no any side of a triangle can be longer or equal to the sum the other two sides</em>

<u>Given measures:</u>

  • 2 cm, 3 cm, 7 cm, 8 cm

<u>We see that:</u>

  • 2+3 < 7 and 2+3 < 8

Therefore we can't make triangles with the sides of 2 cm, 3 cm and 7 cm or 8 cm

<u>Possible solutions are:</u>

  • 2 cm, 7 cm, 8 cm
  • 3 cm, 7 cm, 8 cm

So we can make two different triangles

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Answer:

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the guys handing put advirtiment flyers have handed out 4/5 of their total flyers what percentage of flyers has been handed out?
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Johnny has a box filled with 10 black marbles and 5 purple marbles what are the odds he pulls to black marbles in a row?
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The following table shows the number of feet a bird flies above the ground as a function of time: (In the picture)
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The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of
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Complete Question:

The deck that Amos is building is in the shape of a parallelogram, DGRY.  The measure of D is five-halves the measure of Y. Find the measure of  each angle of the deck.

Answer:

\angle G = \angle Y = 51.43 ^{\circ}

\angle D = \angle R = 128.57 ^{\circ}

Step-by-step explanation:

Given

Shape: Parallelogram DGRY

Dimension: \angle D = \frac{5}{2}\angle Y

Required

Find the measure of each angle

D and R are opposite sides & G and Y are also opposite sides.

So, we have:

\angle D = \angle R = \frac{5}{2}\angle Y

and

\angle G = \angle Y

The sum of angles is given as:

\angle D + \angle G + \angle R + \angle Y=360^{\circ}

Substitute values for \angle D, \angle G \ \&  \angle R

\frac{5}{2}\angle Y + \frac{5}{2}\angle Y + \angle Y + \angle Y = 360^{\circ}

Take LCM

\frac{5\angle Y + 5\angle Y + 2\angle Y+ 2\angle Y}{2}= 360^{\circ}

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Multiply both sides by \frac{2}{14}

\frac{2}{14} * \frac{14\angle Y}{2}= 360^{\circ} * \frac{2}{14}

\angle Y= 360^{\circ} * \frac{2}{14}

\angle Y= \frac{ 360^{\circ} *2}{14}

\angle Y= \frac{720^{\circ}}{14}

\angle Y= 51.43 ^{\circ}

So:

\angle G = \angle Y = 51.43 ^{\circ}

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\angle D = \frac{5}{2} * 51.43^{\circ}

\angle D = \frac{5* 51.43^{\circ}}{2}

\angle D = \frac{257.15^{\circ}}{2}

\angle D = 128.57 ^{\circ}

Hence:

\angle D = \angle R = 128.57 ^{\circ}

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