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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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Who can answer this??
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2 years ago
An equilateral triangle with the perimeter of 90cm, what is the length of its side?
Vanyuwa [196]

Answer:

The length of its side is 30 cm

Step-by-step explanation:

<h3><u>Given</u><u>:</u></h3>

An equilateral triangle with the perimeter of 90cm.

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i.e., all 3 sides are equal

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Sumin bought a pen and a book for $x. the pen cost $5. (a) express the cost of the book in terms of x. (b) if x = 11, find the c
anygoal [31]

Answer:

a. x = total - $5

b. x = $6

c. x = $10

Step-by-step explanation:

a. pen + book = total

Let x = book

$5 + x = total

x = total - $5

b. pen + book = total

Total = 411

$5 + x = $11

x = $11 - $5

x = $6

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Total = $15

$5 + x = $15

x = $15 - $5

x = $10

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1 year ago
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