solve the sinusoidal equation:


5sin(3x)-1=3

Answers

Answer 1

Answer:

[tex]x=0.3090984+\frac{2\pi n}{3},0.73809914+\frac{2\pi n}{3}[/tex]

Step-by-step explanation:

[tex]5sin(3x)-1=3[/tex]

[tex]5sin(3x)=4[/tex]

[tex]sin(3x)=\frac{4}{5}[/tex]

[tex]3x=0.92729521+2\pi n,2.21429743+2\pi n[/tex]

[tex]x=0.3090984+\frac{2\pi n}{3},0.73809914+\frac{2\pi n}{3}[/tex]


Related Questions

=
Given f(x) = -3x – 2 and g(x) = -2x - 4, find h(x) = g(x) – f(x).

Answers

Answer:

h(x) = x - 2

Step-by-step explanation:

h(x) = -2x - 4 -(-3x - 2)

-2x - 4 + 3x + 2

x - 2

A rule for creating a pattern is given below.
Rule: Subtract 7 from 2 to get y.
Which ordered pair, (x, y), works for the rule?

Answers

Answer:

(any real number, 5)

Step-by-step explanation:

Well given that y=7-2 and that y=5, we do not know the value of x, therefore x could be any real number with y being 5. I'm pretty sure that answered your question. So, a example of an ordered pair that would fit this rule would be say (5,5) or (7,5)

Write the phrase "one more than the product of six and nine" as a mathematical expression.

Answers

Answer:

6.9+1

Step-by-step explanation:

hope it helps

[tex]\huge\mathfrak\blue{ ☃ }[/tex]

Answer:

the product of six and nine is fifty five

Convert the equation to polar form. (Use variables r and as needed.)
x2 − y2 = 12

Answers

In converting to polar coordinates, we take

x = r cos(t)

y = r sin(t)

Then in the given equation,

x² - y² = 12

(r cos(t))² - (r sin(t))² = 12

r² cos²(t) - r² sin²(t) = 12

r² (cos²(t) - sin²(t)) = 12

r² cos(2t) = 12

r² = 12 sec(2t)

Which equation correctly uses the law of cosines to solve for y? 92 = y2 + 192 – 2(y)(19)cos(41°) y2 = 92 + 192 – 2(y)(19)cos(41°) 92 = y2 + 192 – 2(9)(19)cos(41°) y2 = 92 + 192 – 2(9)(19)cos(41°) PLS HELP!!

Answers

Answer:

[tex]Fourth \: option: y^2=9^2+19^2-2(9)(19) cos(41°)[/tex]

[tex]The \: law \: of \: cosines \: to \: solve \: for \: one \: side  \: is:[/tex]

[tex]c^2=a^2+b^2-2ab \: cos \: C[/tex]

We must know the other two sides (a and b) and the angle between these sides (angle C, the opposite to the side that we want to determine)

In this case c=y, a=9, b=19, and C=41°, then:

[tex]y^2=9^2+19^2-2(9)(19) \: cos \: (41°)[/tex]

please help for brainliest!!!!

Answers

Answer:

d)

[tex] {i}^{740} [/tex]

Step-by-step explanation:

i¹= i

i²= -1

i³= -i

i⁴= 1

i¹²⁴= i^(124 +0)

i^124 . i^0

i^(4×31) . i^0 = 1³¹. i^0

1.i^0= i^0

= 1

a) i^179= i^(176+3)

i^176 . i³ = i^(4×44) . i³

1⁴⁴. i³ = 1. i³

= -i

b) i^582 = i^(580 + 2)

i^580 . i²= i^(4×145) . i²

1^145 . i²= 1.i²

= -1

c) i^165= i^(164+1)

i^164 . i¹ = i^(4×41) . i¹

1⁴¹ . i¹ = 1.i

= i

d) i^740= i^(740+0)

i^740 . i^0 = i^(4×185) . i^0

1^185 . i^0 = 1. i^0

= 1

i¹²⁴= i^740 = 1

Determine if the two triangles are congruent. If they are, state how you know

Answers

Yes they’re congruent as they have exactly the same angles and sides

some help, I need some answers

Answers

Step-by-step explanation:

here

10^2=8^2+X^2

X^2=100-64

X=√36

X=6

hii
l have some dought

Answers

Answer:

I'm sorry what?

really need help with this

Answers

Answer:

Step-by-step explanation:

You have 2 sides given in a right triangle. You can make an equation that will solve for x. In fact the tangent will do. There's no need to solve for the third side.

Tan(x) = opposite / adjacent

opposite = 39

adjacent = 76

Tan(x) = 39/76

Tan(x) = 0.5132

When finding an angle, you need to use the inverse tan.

x = tan-1(0.5132)    Use 2nd function tan(x)

x = 27.16 degrees.

Step-by-step explanation:

first we need the length of the Hypotenuse (UW).

Pythagoras :

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90 degree angle).

UW² = 76² + 39² = 5,776 + 1,521 = 7,297

UW = sqrt(7297) = 85.42247948...

now we get x from the law of sine :

sinA/a = sinB/b = sinC/c

with the angles always being opposite of the sides.

so, we have

sin(x)/39 = sin(90)/sqrt(7297) = 1/sqrt(7297)

sin(x) = 39/sqrt(7297) = 0.456554296...

x = 27.16498506...° ≈ 27.2°

we could have done it without the Hypotenuse first.

as the angle W is 90-x

sin(x)/39 = sin(90-x)/76 = cos(x)/76

sin(x)/cos(x) = 39/76 = tan(x) = 0.513157895...

x = 27.16498506...° ≈ 27.2°

as expected, it is precisely the same result.

please help me on this one would be great help.

Answers

t = 60

please mark me brianliest

Answer:

60

Step-by-step explanation:

3. Solve the formula A = 1/2 (b1+ b2))h for h. Show your work. ​

Answers

[tex]A = \dfrac 12 (b_1 + b_2)h\\\\\implies 2A = (b_1+b_2) h\\\\\implies h =\dfrac{2A}{b_1+b_2}[/tex]

In 2000, there were 285 cell phone subscribers in the small town of Centerville. The number of subscribers increased by 65% per year after 2000. How many cell phone subscribers were in Centerville in 2020?

Answers

To determine the total number of cell phone subscribers that were in Centerville in 2020 is 5,928,227 people.

Given the following data:

Number of subscribers = 285Percentage increase = 65% Starting year = 2000Ending year = 2020

Increment rate = 165% = 1.65

To determine the total number of cell phone subscribers that were in Centerville in 2020:

First of all, we would calculate the difference in years:

[tex]Year = 2020 - 2000[/tex]

Year = 20 years

Mathematically, the growth rate of cell phone subscribers that were in Centerville in 2020 is given by the formula:

[tex]A_n = Pr^t[/tex]

Substituting the given parameters into the formula, we have;

[tex]A_{20}=285(1.65)^{20}\\\\A_{20}=285 \times 22370.67\\\\A_{20}=5,928,227.55[/tex]

Subscribers = 5,928,227 people.

Read more: https://brainly.com/question/24731714

Johnny has a box filled with 10 black marbles and 5 purple marbles.What are the odd he pulls two purple marbles in a row without replacemnet

Answers

Answer:

2/21

Step-by-step explanation:

The first purple is 5/15 and the second is 4/14. Multiply them together to get 2/21.

?/5 =8/10 type the missing number that makes this fraction equal

Answers

- - - - - - - - - - - - - - - - - - [tex] \frac{?}{5} = \frac{8}{10} [/tex]Let's take the missing number as x.

[tex] \frac{x}{5} = \frac{8}{10} [/tex]Means = Extremes [tex]x \times 10 = 5 \times 8[/tex][tex]x = \frac{5 \times 8}{10} [/tex]___(Cancel by 2 table)[tex]x = \frac{5 \times4 }{5} [/tex]___(Cancel by 5 table, So that we cancel 5 in the denominator and numerator)[tex]x = 4[/tex]- - - - - - - - - - - - - - - - - -

Therefore, The missing number is 4.

Find the value for x.​

Answers

Answer:

4x + 22

Step-by-step explanation:

Are these shapes similar?
yes or no ​

Answers

Answer:

I’d say yes.

If you stretched the second shape then I think both shapes would look similar.

Yes ASA! so they are similar

The sum of 2x minus 2 is 8

Answers

I don’t know but it might be
2x-2=8
X=5

Express your answer in scientific notation. PLS HELP

Answers

10^2=100
3600-6.3-100= 3493.7

hope this helps!

Write the equation for the following sequence: 18, 15, 12,… Write the equation in terms of n (do not use Sn).

Answers

Answer:

18-3(n-1)

Step-by-step explanation:

Question 1
A number, w, is located to the left of 5 on the number line.
Which inequality represents this situation?
A
W> 5
B
w < 5
с
w > -5
D
w < -5

Answers

The answer is c because left side of number line is negative

Which of the following equations contains the point (8, 5) and is perpendicular to the line y = 2x − 3?

Answers

Answer:

[tex]y = \ -\displaystyle\frac{1}{2}x \ + \ 9[/tex]

Step-by-step explanation:

Given that the reference line is y = 2x - 3, with a slope of  [tex]m_{reference} \ = \ 2[/tex].

We know that two non-vertical lines are perpendicular if the slope of one line is the negative reciprocal of the slope of the other. In other words, both slopes can be multiplied together to yield -1. Let [tex]m_{1}[/tex] be the slope of one line and [tex]m_{2}[/tex] be the slope of its corresponding perpendicular line,

[tex]m_{1} \ \times \ m_{2} \ = \ -1 \ \ \ \ \ \ \ \ \ \ \ \mathrm{or} \ \ \ \ \ \ \ \ \ \ \ m_{1} \ = \ \displaystyle\frac{-1}{m_{2}}[/tex].

Thus,

[tex]m_{reference} \ \times \ m_{perpendicular} \ = \ -1 \\ \\ \-\hspace{2.26cm} m_{perpendicular} \ = \ \displaystyle\frac{-1}{m_{reference}} \\ \\ \-\hspace{2.26cm} m_{perpendicular} \ = \ \displaystyle\frac{-1}{2} \\ \\ \-\hspace{2.26cm} m_{perpendicular} \ = \ -\displaystyle\frac{1}{2}[/tex]

Therefore, using the point-slope form for the equation of a line passing through the point [tex](x_{1}, \ y_{1})[/tex] is [tex]y \ - \ y_{1} \ = \ m(x \ - \ x_{1})[/tex]. Given that the perpendicular line passes through the point [tex](8,\ 5)[/tex], the equation of the perpendicular line is

[tex]y \ - \ 5 \ = \ -\displaystyle\frac{1}{2}(x \ - \ 8) \\ \\ y \ - \ 5 \ = \ -\displaystyle\frac{1}{2}x \ + \ 4 \\ \\ \-\hspace{0.85cm} y \ = \ -\displaystyle\frac{1}{2}x \ + \ 9[/tex]

Solve the system of equations by the substitution method.
y = 2x + 1
5y-7x = 11
.....
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is (Simplify your answer. Type an ordered pair.)
OB. There are infinitely many solutions.
O C. There is no solution.

Help

Answers

Answer:

(2,5) -- that is, x is 2, and y is 5, so it would be choice A.

Step-by-step explanation:

5(2x+1)-7x=11

10x+5-7x=11

3x=6

x=2

y=2(2)+1=5

108 is what percent of 72

Answers

108/72  x 100% = 150%

There is an array under. what is the last number?
1 2 4 7 13 24 ?

Answers

Answer:

Here's one possible solution

Step-by-step explanation:

Double the number and subtract the corresponding value from the sequence

0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5...

        1 + 1 - 0 = 2

      2 + 2 - 0 = 4

       4 + 4 - 1 = 7

       7 + 7 - 1 = 13

   13 + 13 - 2 = 24

 24 + 24 - 2 = 46      ←←←

 46 + 46 - 3 = 89

 89 + 89 - 3 = 175

175 + 175 - 4 = 346

Market for flat-screen TVs:
Demand: Qd=2,600-5P
Supply: Qs=-1000 +10P
What would be the amount of shortage if a price ceiling is imposed at price of $205?
Your Answer: 1100
Answer

Answers

Answer:

  525

Step-by-step explanation:

The demand at a price of 205 is ...

  Qd = 2600 -5(205) = 2600 -1025 = 1575

The supply at a price of 205 is ...

  Qs = -1000 +10(205) = 2050 -1000 = 1050

The demand exceeds the supply by ...

  1575 -1050 = 525

The shortage is 525 units.

Determine if the two triangle are congruent. If they are state how you know

Answers

Answer:

aas

Step-by-step explanation:

angle angle and the middle is side

Please help mee!
no links :(

Answers

Answer:

a=0.62, b=7/9, c=10/9

Step-by-step explanation:

Brainliest would be appreciated

Answer:

B, if its not b then its C.

Step-by-step explanation: hope this is correct and helps you!

How can a person best reduce the risk of sustaining permanent injuries?

Wear protective clothing while sleeping at home.
Secure a seat belt only when riding in the front seat.
Wear a cracked bicycle helmet while riding a bicycle.
Put away guns in a lockbox that is secure and in a discrete location.

Answers

Answer:

Put away guns in a lockbox that is secure and in a discrete location.

Have a good day <3

pls help it is math for 7th grade.

Answers

Answer:

36.8   *36 8/10 of 36 4/5

Step-by-step explanation:

2/5x(-1/2)= -2/10

37+(-2/10)=36.8

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