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arlik [135]
2 years ago
5

The perimeter of a quarter circle is 10. 71 yards. What is the quarter circle's radius?

Mathematics
1 answer:
Ahat [919]2 years ago
4 0

Answer:

r = 3 yds

Step-by-step explanation:

The perimeter of a quarter circle is 1/4 of a circumference of the circle AND two straight edges that are the length of the radius. see image.

The circumference is given and using 3.14 for pi, we'll then solve for r. see image.

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Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 i. Which statement describes the number and nature of al
bagirrra123 [75]

The correct option is f(x) has three real roots and two imaginary roots.

Given

Three roots of a fifth-degree polynomial function f(x) are –2, 2, and 4 i.

<h3>Complex conjugate</h3>

The complex conjugate of a complex number is the number with an equally real part and an imaginary part equal in magnitude but opposite in sign.

It is given that the roots of the fifth-degree polynomial function are -2, 2, and 4+i.

Since the degree of f(x) is 5, therefore there are 5 roots of the function either real or imaginary.

According to the complex conjugate root theorem, if a+ib is a root of a polynomial function f(x), then a-ib is also a root of the polynomial f(x).

Since 4+i is a root of f(x), so by complex conjugate rot theorem 4-i is also a root of f(x).

From the given data the number of real roots is 2 and the number of 2. The number of complex roots is always an even number, so the last root must be a real number.

Therefore, the correct option is f(x) has three real roots and two imaginary roots.

To know more about imaginary roots click the link given below.

brainly.com/question/1375079

3 0
2 years ago
Can someone help me please
Komok [63]

Answer:

What is the question?it is not clear?

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Are the two terms on each tile like terms?
Zepler [3.9K]

Answer:

1 like

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3 like

4 like

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6 unlike

Step-by-step explanation:

For terms to be like terms, they must have exactly the same variables and the same exponents.

1 like

2 unlike

3 like

4 like

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5 0
2 years ago
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Solve for x: X^2 = 4/16
Rainbow [258]

We know that

x = \sqrt{\frac{4}{16}}

So:

x = \frac{2}{4}

6 0
3 years ago
A cable pole casts a shadow that is 12 feet long . If a 6ft tall man casts a shadow thats is 4 feet long how tall is the cable p
shepuryov [24]

Answer:

18ft

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6ft -> 4ft shadow

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4 0
3 years ago
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