All categories

3 years ago

Solve the following equation on the interval [0,2 \pi) Cot(3x)=\sqrt{3}

1 answer:

4 0

Cot(3x)=3^(1/2)

cot(x)= cos(x)/sin(x)

cot(3x)= cos(3x)/sin(3x)

look at a unit circle chart

find a value for cos that has sqrt(3) in it

which one will reduce so that the cos/sin will equal sqrt(3)?

pi/6 radians

now cot(3x) implies that x is one third this value

pi/18 is the answer

You might be interested in

Question<br><br> Express the inequality x > -1 using interval notation

Nimfa-mama [501]

Step-by-step explanation:

x > -1

x = {0,1,2,...}

$\lang -1,+\infty \rang$

4 0

2 years ago

What is the solution of 9x-8=34x-12

Cerrena [4.2K]

Answer: x = 2/13

Step-by-step explanation:

9x-8=34x-12

Add 12 on both sides and you get

9x+4=34x

Subtract 9x from both sides and you get

4=26x

Divide 26 from both sides to get

X= 4/26

Simlify

x = 2/13

4 0

3 years ago

How do i get the method on how to solve this x+5(-2)-1

galben [10]

Answer:

I forgot the name but I can show you how to do it lol

Step-by-step explanation:

x+5(-2)-1

x-10-1 we multiplied 5 and -2

x-11

x=11

how I did the last one is there is a non-existent 0 with an equal sign like my teacher says so we added 11 to both sides.

8 0

2 years ago

a triangle with a perimeter of 36 inches is dilated with a scale factor of 2. what will be the perimeter of the image

sweet [91]

Answer:

Step-by-step explanation:

36/4=9 9/2=4.5 4.5+4.5+4.5+4.5=18

7 0

3 years ago

Please assist me with this problem

n200080 [17]

Answer:

The answer to your question is 90 dB

Step-by-step explanation:

Data

I = 10⁻³

I⁰ = 10⁻¹²

Formula

Loudness = 10log ( $\frac{I}{Io}$ )

Process

1.- To solve this problem, just substitute the values in the equation and do the operations.

2.- Substitution

Loudness = 10 log $(\frac{10^{-3}}{10^{-12}} )$

3.- Simplify

Loudness = 10log (1 x 10⁹)

Loudness = 10(9)

Loudness = 90

7 0

3 years ago