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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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Factor the polynomial completely. Use synthetic division. <br><br> F(x) = x^3-7x-6
aleksklad [387]

Answer:

The factors of given polynomial    x =-1 , -2 and x =3

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given the polynomial  

                    f(x) =  x³ - 7x -6

 put x =-1

               f(-1) = (-1 )³- 7(-1) - 6 = -1+7-6=0

(x+1) is a one factor

By using synthetic division

                   x³    x²      x      constant

     x=-1  ↓   1      0      -7        -6

             <u>↓   0     -1      1          6</u>

            <u>       1       -1      -6       0     </u>

<u />

<em>The polynomial    x² - x - 6 </em>

<u><em>Step(ii):-</em></u>

The factors ( x+1)(x² - x - 6 ) = 0

     x = -1 and x² - x - 6 =0

    x =-1    and  x² - 3x + 2 x - 6 =0

   x =-1     and  x (x -3) + 2( x-3) =0

   x =-1     and  (x+2)(x-3) =0

<u><em>Final answer:-</em></u>

The factors of given polynomial    x =-1 , -2 and x =3

6 0
3 years ago
Find the cube root of 27d3 + 54a2b + 36ab2 + 8b3​
enot [183]

Answer:

 (3a + 2b)3

Step-by-step explanation:

STEP 1  :

Equation at the end of step 1

 (((27•(a3))+((54•(a2))•b))+(36a•(b2)))+23b3

Step 2:

(((27•(a3))+((54•(a2))•b))+(22•32ab2))+23b3

Step 3:

(((27•(a3))+((2•33a2)•b))+(22•32ab2))+23b3

Step 4:

 ((33a3 +  (2•33a2b)) +  (22•32ab2)) +  23b3

Step 5:

 Factoring:  27a3+54a2b+36ab2+8b3

8 0
3 years ago
The function f is given by f(x) = 3x² - 5<br> -<br> a) Work out f '(43)
Lana71 [14]

Answer:

5236

Step-by-step explanation:

let x=43

f(43)=3(43)^2-5

f(43)=3(1749)-5

f(43)=5241-5

f(43)=5236

4 0
3 years ago
Evaluate the expression when m = 4 and n = 6.<br><br> (3m−n)^2+4m
alexira [117]

Answer:

yor answer is 52

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the answer please? ​
natka813 [3]

Answer:

omg that question is impossible to answer

5 0
3 years ago
Read 2 more answers
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