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Irina-Kira [14]
3 years ago
7

Trig questions:

Mathematics
1 answer:
navik [9.2K]3 years ago
8 0
Question 1
Because the period is 2π, and the amplitude is 1obtain
f(x) = sin(x)
Because the horizontal shift is π, obtain
f(x) = sin(x - π)
Because the vertical shift is -4, obtain
f(x) = sin(x - π) - 4

Answer: 1. f(x) = sin(x - π) - 4

Question 2
The radius is 36/2 = 18 in.
1 revolution (360°) is the circumference, which is
2π(18) = 36π in
When the revolution is 62°, the distance traveled is
(62/360)*(36π) = (31/5)π in

Answer: 3. (31π)/5

Question 3.
Consider f(x) = 3cos(2x-π) - 1
f(0) = 3cos(-π) - 1 = -4
f(π/2) = 3cos(0) - 1 = 2
Rate of change = (2+4)/(π/2) = 12/π

From the graph, the rate of change of g(x)  is
3/(π/2) = 6/π

Consider h(x) = sin(x) - 4
h(0) = 0 - 4 = -4
h(π/2) = 1 - 4 = -3
Rate of change = (-3+4)/(π/2) = 2/π
Therefore h(x) has the smallest rate of change

Answer: h(x)

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3 years ago
There were 166 paid admissions to a game. The price was $2 for adults and $.75 for children. The amount of data taken in was $29
JulijaS [17]

Answer:the number of adults that attended the game is 135.

the number of children that attended the game is 31

Step-by-step explanation:

Let x represent the number of adults that attended the game.

Let y represent the number of children that attended the game.

There were 166 paid admissions to a game. This means that

x + y = 166

The price was $2 for adults and $.75 for children. The amount of data taken in was $293.25. This means that

2x + 0.75y = 293.25 - - - - - - - - - - 1

Substituting x = 166 - y into equation 1, it becomes

2(166 - y) + 0.75y = 293.25

332 - 2y + 0.75y = 293.25

- 2y + 0.75y = 293.25 - 332

- 1.25y = - 38.75

y = - 38.75/- 1.25

y = 31

x = 166 - y = x = 166 - 31

x = 135

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3 years ago
A running track has a straight stretch that measures 200m at the ends there are
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Step-by-step explanation:

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