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bearhunter [10]
3 years ago
12

Which set of numbers could represent the lengths of the sides of a triangle? A. {3,4,8} B. {8,11,19} C. {11,5,5} D. {19,16,20}

Mathematics
2 answers:
ruslelena [56]3 years ago
7 0
D

To form a triangle, the sum of any two sides must be greater than the third side. And for D, 19+16 is greater than 20
choli [55]3 years ago
4 0

Answer:

19, 16, 20

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Aka the highest number - the next highest number = lowest possible number.

3+4 is not greater than 8.

8 + 11 is not greater than 19.

5 + 5 is not greater than 11.

16+19 is greater than 20.

19+20 is greater than 16.

16+ 20 is greater than 19.

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Irina18 [472]

Option a: 4x^{3} -\frac{2}{x}

Option b: 2y^{3} +5y^{2} -5y

Option c: 3y^{3} -\sqrt{4y}

Explanation:

The highest degree of a polynomial is the largest exponent of that variable.

Now, we shall determine the polynomial with degree 3.

Option a: 4x^{3} -\frac{2}{x}

From the expression 4x^{3} -\frac{2}{x}, the highest degree of the polynomial is 3.

Hence, 4x^{3} -\frac{2}{x} is a polynomial with a degree of 3.

Hence, Option a is the correct answer.

Option b: 2y^{3} +5y^{2} -5y

From the expression 2y^{3} +5y^{2} -5y, the highest degree of the polynomial is 3.

Hence, 2y^{3} +5y^{2} -5y is a polynomial with a degree of 3.

Hence, Option b is the correct answer.

Option c: 3y^{3} -\sqrt{4y}

From the expression 3y^{3} -\sqrt{4y}, the highest degree of the polynomial is 3.

Hence, 3y^{3} -\sqrt{4y} is a polynomial with a degree of 3.

Hence, Option c is the correct answer.

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From the expression -xy\sqrt{6}, the highest degree of the polynomial is 1.

Hence, -xy\sqrt{6} is a polynomial with degree 1.

Hence, Option d is not the correct answer.

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