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umka21 [38]
3 years ago
13

What is the area of a sector with a central angle of 2π9 radians and a diameter of 20.6 mm? Use 3.14 for π and round your answer

to the nearest hundredth.
Mathematics
1 answer:
sleet_krkn [62]3 years ago
7 0
The answer to this is 37.01
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Consider the following polynomial functions.<br> f(a) = (2a - 7 + a?) and g(a) = (5 – a).
mote1985 [20]

Answer:

1 false

2 true

3 true

4 false

5 true

Step-by-step explanation:

f(a) = (2a - 7 + a^2) and g(a) = (5 – a).

1 false f(a) is a second degree polynomial and g(a) is a first degree polynomial

When added together, they will be a second degree polynomial

2. true  When we add and subtract polynomials, we still get a polynomial, so it is closed under addition and subtraction

3.  true  f(a) + g(a) = (2a - 7 + a^2) + (5 – a)

Combining like terms = a^2 +a -2

4.  false   f(a) - g(a) = (2a - 7 + a^2) - (5 – a)

Distributing the minus sign (2a - 7 + a^2) - 5 + a

Combining like terms  a^2 +3a -12

5.  true  f(a)* g(a)  = (2a - 7 + a^2)  (5 – a).

Distribute

                       (2a - 7 + a^2)  (5)  – (2a - 7 + a^2)  (a)

                        10a -35a +5a^2 -2a^2 -7a +a^3

Combining like term

-a^3 + 3 a^2 + 17 a - 35

4 0
3 years ago
Read 2 more answers
The diagram represents 6x2 – 7x + 2 with a factor of 2x – 1.
masha68 [24]
6x^2 -7x + 2 with a factor of 2x -1

If you divide the trinomial by the factor you will get the other factor.
See attachment

4 0
3 years ago
Read 2 more answers
Explain why graphing the solutions of an inequality is more efficient than listing all the solutions of the inequality.
Nadya [2.5K]
The saying "A picture is worth a thousand words" comes to mind here. You can list all of the possible points in a solution region, or you can list a few points to give the general pattern. Though this method requires a bit more work than simply graphing and showing the solution shaded region. A visual is often more efficient at conveying a message especially to those who aren't proficient with algebra. I'm sure there are other reasons why graphs are the better choice, but that's all I could think of really.
6 0
3 years ago
Read 2 more answers
Find the solution to the system of equations.<br> 1 + 3y = 4<br> 2r + 5y = 12
ivann1987 [24]

Answer: {x,y}={-1,2}

step-by-step explanation:

// Solve equation [2] for the variable  x

 [2]    2x = 5y - 12

 [2]    x = 5y/2 - 6

// Plug this in for variable  x  in equation [1]

  [1]    2•(5y/2-6) + 3y = 4

  [1]    8y = 16

// Solve equation [1] for the variable  y

  [1]    8y = 16

  [1]    y = 2

// By now we know this much :

   x = 5y/2-6

   y = 2

// Use the  y  value to solve for  x

   x = (5/2)(2)-6 = -1

Solution :

{x,y} = {-1,2}

5 0
2 years ago
What equals to 20 and 84
Charra [1.4K]
Two is equivalent to twenty and 84
4 0
3 years ago
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