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lisabon 2012 [21]
2 years ago
14

What type of relationship does this pair of angles have?

Mathematics
2 answers:
slava [35]2 years ago
5 0

Answer:

They are supplementary angles

Step-by-step explanation:

Note the sum of the 2 angles = 161° + 19° = 180°

Two angles with a sum of 180° are supplementary

avanturin [10]2 years ago
4 0

Answer:

Both add up to 180 degrees

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40 students make up her entire class
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Consider the right triangle below.
MaRussiya [10]

Answer:

15 feet, 7.5 square feet

Step-by-step explanation:

Perimeter = 6.5 + 2.5 + 6

= 15 feet

Area = ½ × 2.5 × 6

= 7.5 feet²

4 0
3 years ago
Read 2 more answers
In triangle ABC, a = 4, b = 6, and cos C = − 1/4. What is the length of side c?
shusha [124]

The length of side c would be 8.

Step-by-step explanation:

Given that,

a = 4

b = 6

cosC = -1/4

If we are given two sides and angle, the law of Cosines can be used to find the third side:

c^{2} = a^{2} + b^{2} - 2ab (cos(c))

By inserting the values in the formula, we get

c^{2} = 4^{2} + 6^{2} - 2.4.6 (-\frac{1}{4} )

c^{2} = 16 + 36 + 12

c^{2} = 64

\sqrt{c^{2} } = \sqrt{64}

c = 8.

Therefore, the length of side c would be 8.

7 0
3 years ago
En un polinomio P(x,y), homogéneo y completo en "x" e "y", la suma de los grados absolutos de todos sus términos es 420. ¿Cuál e
Mandarinka [93]

Answer:

the degree of homogeneity is 20.

Step-by-step explanation:

In a polynomial P (x, y), homogeneous and complete in "x" and "y", the sum of the absolute degrees of all its terms is 420. What is its degree of homogeneity?

A homogeneous polynomial is one in which all monomials have the same degree.

This is an example of a homogeneous polynomial of degree 4 (the degree of all monomials is 4):

x ^ 4 + 3x ^ 3y + 2x ^ 2y ^ 2 + xy ^ 3 + 8y ^ 4.

As you can see, the sum of the exponents of the variables x, y in each monomial is 4.

And the number of terms is 5, that is, it is the degree of homogeneity plus 1.

In relation to the sum of the absolute degrees of all monomials or terms it will be: 4 + 4 + 4 + 4 + 4 = 4 * 5 = 20.

In general, you can say that the sum of the absolute degrees in a homogeneous polynomial will be the degree of each monomial by the number of terms = degree * (degree + 1)

Calling n, the degree of our polynomial, it must be fulfilled:

n (n + 1) = 420

=> n ^ 2 + n = 420

=> n ^ 2 + n - 420 = 0

Factoring:

(n + 21) (n - 20) = 0

=> n = -21 and n = 20.

Only the positive value makes sense, therefore n = 20.

In other words, the polynomial is of the form (excluding the coefficients):

x ^ 20 + x ^ 19 y + x ^ 18 y ^ 2 + x ^ 17 y ^ 3 + .... x ^ 3 y ^ 17 + x ^ 2y ^ 18 + xy ^ 19 + y ^ 20

That polynomial has 21 terms.

So the sum of the degrees will be 20 * 21 = 420, as required in the statement.

Therefore, the degree of homogeneity is 20.

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3 years ago
Based on the information in the table, what is the price per sample ?
Julli [10]

Answer: $6

Step-by-step explanation:

8 0
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