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antoniya [11.8K]
2 years ago
7

(b) 2sin(theta) + 1/sin(theta) - 1 = 0 for 0 <_ x < 2x

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
8 0

Answer:

2 - 2 cos²x = sin x

2 = sin x + 2 cos² x

0 = -2 + sin x + 2(1 - sin² x)

0 = -2 sin² x + sin x + 2 - 2

0 = 2 sin² x - sin x 0 = sin x (2 sin x - 1)

sin x = 0 v sin x = 0.5

x10° + k.360° x1 = 0°, 360°

x2 = (180° - 0°) + k.360°

x2 = 180°

x3 = 30° + k.360°

x3 = 30°

x4 = (180° -30°) + k.360° x4 = 150°

HP: {x | 0°, 30°, 150°, 180°, 360°)

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Which expression is equivalent to −1/ 12x−1 /3?
alexandr402 [8]

Answer:

\frac{1}{12} (-x-4)

Step-by-step explanation:

the expression we have is:

-\frac{1}{12} x-\frac{1}{3}

To find an equivalent expression, it would be helpful to express 1/3 so that it has a 12 in the denominator:

\frac{1}{3}=\frac{4}{12}

so we substitute this:

-\frac{1}{12} x-\frac{4}{12}

and now we have 1/12 in both terms :

-\frac{1}{12}x-\frac{1*4}{12}

so we can factor it (we take it out of each term: in the first we are left with -x and in the second with -4):

\frac{1}{12} (-x-4)

the equivalent expression is: \frac{1}{12} (-x-4)

5 0
4 years ago
Cuáles de los siguientes experimentos son aleatorios. a) Número de personas que suben a un autobús en una parada. b) Aplicar el
ivanzaharov [21]

Answer:

<h2>a) Número de personas que suben a un autobús en una parada.</h2><h2>c) Conocer el ganador de la Liga de Campeones.</h2>

Step-by-step explanation:

This problem is about random experiments.

Random experiments are defined as experiments where the outcome can't be predicted. To ensure that result, the subjects are selected randomly. So, in this case, the right answer must be a situation where subjects are randomly present.

People taking the bus is a random experiment, because there's no the exact subjects in a bus at any time, it happens randomly.

Also, the winner of a sport league is also a random experiment, because it happens after several games which cannot be predicted.

Therefore, the right answers are a and c.

5 0
4 years ago
Can you please help me with this question? thank you!!!
Rufina [12.5K]

Answer:

The top box in the middle, should be 15.

The bottom box on the left should be 1.5

3 0
3 years ago
Read 2 more answers
X+3 &lt; -2 solve inequality
Delicious77 [7]
Take away 3 from both sides,

x+3<-2
   -3  -3 
=x<-5

answer=x<-5
hope this helps.......
8 0
3 years ago
Mhanifa can you please help? I need this done asap and i will mark brainliest!
Sveta_85 [38]

Answer:

#4

<u>Exterior angles of a polygon sum to 360</u>

  • 94 + 56 + 4.5x + x + 1.5x = 360
  • 150 + 7x = 360
  • 7x = 210
  • x = 30

#5

<u>Sum of interior angles of a pentagon is:</u>

  • (5 - 2)*180 = 540

<u>Sum of interior angles of a given pentagon:</u>

  • 72 + 3x + 89 + 99 + 2x = 540
  • 5x + 260 = 540
  • 5x = 280
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4 0
3 years ago
Read 2 more answers
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