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SIZIF
20 days ago
11

Ruben has two congruent wooden dowels. He cuts one dowel in two in order to have three pieces to make a triangle. Explain why, d

espite having three sides, Ruben will not be able to make a triangle with his three pieces?
Mathematics
2 answers:
Inessa [9K]20 days ago
4 0
Let's apply the Pythagorean theorem to determine whether a triangle could be formed.

Assuming we have two wooden dowels each measuring 8 inches, we can break one dowel in half, resulting in two pieces of 4 inches each.

Now we have three wooden dowels with lengths of 4 inches, 4 inches, and 8 inches.

According to the Pythagorean theorem:

a² + b² = c²
4² + 4² = 8²
16 + 16 = 64
34 ≠ 64

To form a triangle, the length of the cut wooden dowel needs to exceed that of the uncut dowel.

I also visually attempted this exercise on paper, cutting according to the assumed dimensions. No triangle can be constructed with these pieces. 
Svet_ta [9.5K]20 days ago
3 0

The question states that

Ruben has a pair of identical wooden dowels. He divides one of these dowels into two segments to create three pieces for constructing a triangle.

To determine if this is possible, we must consider the triangle inequality theorem, which dictates that the sum of any two sides of a triangle must be greater than the length of the third side.

In this situation, however, the total length of the two segments from the cut dowel equals the full length of the original dowel.

Therefore, the triangle inequality theorem is not satisfied here.

Consequently, Ruben cannot form a triangle with the three pieces he has.

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Svet_ta [9518]

Answer:

The three errors are:

1) Incorrectly swapping the variables x and y.

2) Failure to use the ± symbol.

3) The domain is wrong; it should be x ≤ 0.

Step-by-step explanation:

Review the following steps.

y = x^2 + 12x

Step 1: x = y^2 + 12x

The initial step is incorrect because the variables x and y were switched improperly; it should be:

x=y^2+12y

Step 2: y^2= x-12x

Step 3: y^2= -11 x

Step 4: y=\sqrt{-11x}, for x ≥ 0

Step 4 contains an error as the ± sign is required. Additionally, the function's domain is inaccurately stated.

The radicand must be nonnegative, implying that x must satisfy x ≤ 0.

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1 month ago
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If 65% of a number is 1,105, what is 82% of the number?
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Calculating 82% of 1700:
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18 days ago
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Answer:

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Step-by-step explanation:

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Answer:

Comprehensive explanation:y=-30x+210

Let's denote

x -----> the number of days

and

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We know that

The linear equation in slope-intercept form can be represented as

y=mx+b

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In this scenario, we have

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