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drek231 [11]
3 years ago
7

For the function y=-2+5sin(pi/12)(x-2) what is the maximum value

Mathematics
1 answer:
alexira [117]3 years ago
5 0
The maximum value of the sine function is 1. Therefore the maximum value of y is:
y(max) = -2 + 5 = 3
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Please help will mark brainliest for the right answer
hodyreva [135]

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a).  x + y + 90° = 180°

b).  x = 67°

    y = 23°

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The sum of all angles in a triangle is 180°.

One of the angles in the figure is a right angle, or 90°.  Therefore the sum of the three angles in the figure is:

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We are also told that x + 2 = 3y.  

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Thake the first equation and substitute the above expression of in place of x:

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4 0
2 years ago
There are 135 people in a sport centre. 77 people use the gym. 62 people use the swimming pool. 65 people use the track. 27 peop
umka21 [38]

Answer:

The correct answer is \frac{2}{9}.

Step-by-step explanation:

There are 135 people in a sport centre.

Let the experiment be to pick a person from the sport centre who only uses exactly one of the facilities.

Total number of possible outcomes = 135

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77 people use the gym.

27 people use the gym and the pool.

31 people use the gym and the track.

4 people use all three facilities.

Total number of people using only the gym are 77 - ( 27 + 31 + 4) = 15

For the swimming pool:

62 people use the swimming pool.

27 people use the gym and the pool.

23 people use the pool and the track.

4 people use all three facilities.

Total number of people using only the swimming pool are 62 - ( 27 + 23 + 4) = 8

For the tracks:

65 people use the track.

23 people use the pool and the track.

31 people use the gym and the track.

4 people use all three facilities.

Total number of people using only the tracks are 65 - ( 23 + 31 + 4) = 7

A person is selected at random.

Favorable outcomes = 7 + 8 + 15 = 30

Probability that the person uses exactly one of the facilities = \frac{Favorable}{Total} = \frac{30}{135}  = \frac{2}{9}.

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