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harkovskaia [24]
3 years ago
13

What is the area of the sector having a radius of 8 and a central angle of 5pi/3 radians?

Mathematics
1 answer:
Naya [18.7K]3 years ago
8 0

Answer:

  160π/3 units² ≈ 167.55 units²

Step-by-step explanation:

The appropriate area formula is ...

  A = (1/2)r²θ

Filling in the numbers, you have ...

  A = (1/2)(8²)(5π/3) = 160π/3 ≈ 167.55 . . . . square units

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Which angles form a linear pair?
Igoryamba

A linear pair of angles has a common side, and the vertex is on the line designated by the points denoting the non-common sides.

Consider the first choice:

... the common sided is RL, and the other two points are P and M. Point R (the vertex of the angles) is not on line PM. (In fact, line PM is not shown on the diagram.)

In the second choice, the given angles do not have a common side. (They are actually "vertical" angles.)

In the 3rd choice, the common side is RN, and vertex point R is found on line MO. These angles <em>are</em> a linear pair:

... - MRN and NRO

8 0
3 years ago
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The degree of the polynomial function f(x) is 4.
Lyrx [107]

Answer:

Option A

Step-by-step explanation:

Degree of the polynomial function = 4

That means highest degree term of the given polynomial has power = 4

If the roots of a quadratic polynomial are a, b, c, d then the polynomial function will be,

f(x) = (x - a)(x - b)(x - c)(x - d)

It's given in the question that roots are x = -2, -1, 1 and 3

Therefore, polynomial function will be,

f(x) = (x + 2)(x + 1)(x - 1)(x - 3)

From the given options, graph A shows that the graph intersects the x-axis at x = -2, -1, 1 and 3

Therefore, Option A will be the answer.

3 0
3 years ago
Plz help me answer this question
Oksana_A [137]

Answer:

The answer to your question is distance = 3500000 km

Step-by-step explanation:

Data

Scale  1 : 500000

7 cm

Process

1.- To solve this problem use direct proportions or rule of three.

                          1 : 500 000 :: 7 : x

2.- Multiply the middle numbers and the result divide it by the edge.

                x = (7 x 500000) / 1

Simplification

                x = 3500000 km                            

7 0
3 years ago
Please help me out with this
AVprozaik [17]

Answer:

6 in^2.

Step-by-step explanation:

The area of 2 similar figures are in the ratio of the squares of corresponding sides. So we have the equation:

3^2 / 6^2 = x / 24

9/36 = x /24

1 / 4 = x / 24

x =  24/4 = 6 in^2 (answer).

8 0
3 years ago
PLEASE HELP I GIVE THANKS
aleksandrvk [35]
4x+(3x-8)=90

4x+3x-8=90

7x=98

x=98/7

x=14

If x=14,

angle CDJ is:

(3(14)-8) degrees

=34 degrees
3 0
3 years ago
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