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Harlamova29_29 [7]
4 years ago
11

Find an expression (where you have to multiply polynomials) to represent the shaded region of #33 and if you could also include

how that would be great!

Mathematics
1 answer:
Brrunno [24]4 years ago
4 0
First, find the area of the circle using the formula A=pi r^2. 
A=pi (2x+3)^2 = pi(4x^2 + 12x + 9) 
Second, find the area of the rectangle inside by multiplying the polynomials. 
(X+1)*(3x+2) = 3x^2 + 5x +2 
Third, subtract the area of the rectangle from the area of the circle to find the area of the shaded region. 
pi(4x^2 + 12x + 9) - 3x^2 + 5x +2 =area of shaded region 
Or 
(pi (2x+3)^2) - ((X+1)(3x+2)) = area of shaded region


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Given: sin theta=2/3 and is in the second quadrant; evaluate the following expression. sin 2 theta
Dmitry [639]

Answer:The answer to your question is 3. 0

Step-by-step explanation:

Process

1.- Find the cos a

  Opposite side = 5

  Hypotenuse = 13

  Adjacent side = ?

  Adjacent side² = 13² - 5²

                          = 169 - 25

                          = 144

 Adjacent side = 12

cos a = 12/13

2.- Find the sin b

sin b = 5/13

3.- Use the formula below to find sin(a + b)

              sin (a + b) = sina cosb  + sin b cos a

- Substitution

              sin (a + b) = (5/13)((-12/13) + (5/13)/12/13)

- Simplification

              sin (a + b) = -60/169 + 60/13

- Result

              sin(a + b) = 0                        

Step-by-step explanation:

4 0
3 years ago
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3 years ago
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KIM [24]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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since the shaded area is inside the larger circle,

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Step-by-step explanation:

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