cot²3x - 3cot3x +2 = 0
cotx = t
what equation for t

Answers

Answer 1

Answer:

Step-by-step explanation:

cot²(3x)=y

y²-3y+2=0

y²-y-2y+2=0

y(y-1)-2(y-1)=0

(y-1)(y-2)=0

y=1,y=2

cot3x=1

tan 3x=1=tan (π/4)=tan (nπ+π/4)

3x=nπ+π/4=(4nπ+π)/4=(4n+1)π/4

x=(4nπ+1)π/12,n is an integer.

cot 3x=2

tan 3x=1/2

3x=tan^{-1}(1/2)≈26.57°+360n

x≈8.86°+120n


Related Questions

What is the slope of the line? Hint: Note the scales for the x and y axis.
What is the y - intercept of the line?
What is the equation of the line? y = x +
Use the equation to predict the number of visits per week to a coffee shop that is 3 blocks away.

Answers

Answer:

y = (-1 visit/block)x + 9 visits

6 visits

Step-by-step explanation:

The y-intercept is 9 (meaning 9 visits per week).

Note that (1, 8) is a point on the line.

To find the equation of this line, start with the slope-intercept form y = mx + b.  We know that when x = 1, y = 8 and that the y-intercept, b, is 9.  Therefore:

8 = m(1) + 9.

Solve this by subtracting 9 from both sides.  We get:

-1 = m

The slope is m = -1 visits/block

and the desired equation is y = (-1 visit/block)x + 9 visits

If a particular coffee shop is 3 blocks away, we predict that the number of visits per week made to this shop is y = -1(3) + 9, or 6 visits

Solve {2x — y = 13; 3x + y = 12

Answers

Answer:

{x,y}={5,-3}

Step-by-step explanation:

Can someone else me with this

Answers

Answer:

8

Step-by-step explanation:

Answer:

Hi, there your answer is 4

Step-by-step explanation:

y= x+4 what is the answer?

Answers

Answer:

x = y − 4

Step-by-step explanation:

y=x+4

Step 1: Flip the equation.

x+4=y

Step 2: Add -4 to both sides.

x+4+−4=y+−4

x=y−4

Answer:

x=y−4

The answer is x+(8-7)

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

29.9

Step-by-step explanation:

tan x = 5.6/9.7

tan x = 0.57732

x = 29.9 to nearest tenth

I hope I'm correct if not I tried my best

bye :-)

Hello I need the answer fast pls The tennis courts are 3 blocks west and 2 blocks south of Miguel’s house. The bike path is 5 blocks east and 2 blocks south of Miguel’s house. How many blocks are the tennis courts from the bike path?

Answers

Answer:

8

Step-by-step explanation:

If its correct please give brainliest

I need to know how to solve this anyone?

Answers

I can't make out what the radius of the sphere is, but the equation you're looking for is:

[tex]V=\frac{4}{3}\pi r^3[/tex]

For example:

If the radius of a sphere is 5 m, it's volume would be,

[tex]V=\frac{4}{3}\pi (5)^3[/tex]

[tex]V=\frac{4}{3} (3.14)(5)^3[/tex]

[tex]V=\frac{4}{3}(3.14)(125)[/tex]

[tex]V=523.6 m^3[/tex]

BRAINIEST AND 15 POINTS HELP FAST!!!

In the square below, the two semi-circles are congruent. Find the area of the
shaded region. If necessary, round your answer to two decimal places.

Answers

Answer:

3.44.

Step-by-step explanation:

We can see that in this square, the radii of the semicircles are 2. Using that, we can calculate that the area of each one is 6.58. Both combined is 12.56. Now, the original area of the circle was 16. 16 minus 12.56 is equal to 3.44, so the area of the shaded region is 3.44.

Answer:

3.44

Step-by-step explanation:

enter it just like that in ape x

One floor is randomly taken from a
vase containing 5 red flowers,
2 white flowers, and 3 pink flowers.
Find the probability of taking a red
or a pink flower.

Answers

First count the total flowers. 10 total, that is you bottom number or denominator. 5 red + 3 pink = 8
8/10 or 8 out of 10 chance.
Both numbers are divisible by 2.
8/2= 4 & 10/2= 5
4/5 chance in picking red or pinks flowers. You have an 80% chance which are pretty high odds.

PLSSS HELP ME I DONT HAVE MUCH TIME

Answers

Answer:

- 12 and - 187

Step-by-step explanation:

To evaluate f(- 7) substitute x = - 7 into f(x)

f(- 7) = 2(- 7) + 2 = - 14 + 2 = - 12

Similarly for g(- 4)

g(- 4) = 3(- 4)³ + 5 = 3(- 64) + 5 = - 192 + 5 = - 187

Find the least number which must be added to 2000 to make the sum a perfect square​

Answers

add 25 to 2000 = 2025

sqrt 2025 = 45

A container is 1/3 full pf water and 1/4 full of oil. What fraction of the container is empty?

Answers

Answer

IS 2/4

Step-by-step explanation:

1/3 = 4/12  1/4 = 3/12  4/12+3/12= 6/12 = 2/4

answer plz answer plz​

Answers

Answer:

C. [tex] 2 y^2 [/tex]

Step-by-step explanation:

[tex]( {3} \degree {y}^{2} ) \times \: 2(xy) \degree \\={3} \degree {y}^{2} \times \: 2\times x \degree\times y \degree \\=1 {y}^{2} \times \: 2\times 1\times 1 \\ = {y}^{2} \times 2 \\ = 2 {y}^{2} [/tex]

C is correct 2y^2 :) enjoy ur day

Kiran's father is 65 years old. He is 8 years older than three
times Kiran's age. Find Kiran's age?​

Answers

Answer:

let kiran's age be x

kiran's father's age is 65

acc.to ques

kiran's father is 8 years older than 3 times kiran's age ....which gives us the equation as follows

8+3x =65

therefore

3x =65-8

3x =57

x =57/3

x= 19 ans

so kiran's age is 19 years.

Answer:

kiran is 19 years old.

Step-by-step explanation:

kiran's father age = 65

let kiran's age be x

kiran's father is 8 years older than three times kiran's age means 8 + 3x

so according to the question equation is

65 =  8 + 3x

65 - 8 = 3x

57/3 = x

19 = x

therefore kiran's age is 19 years.

Hello, Please help me :D thank you!

Answers

Answer:

6a. 26

6b. 60%

6c. 33.3% or just one-thrid

7. 80.925 rounded is $80.93

8. 240

9. 25

10. 54%

Step-by-step explanation:

brainliest please!

Answer:

Step-by-step explanation:

chocolate donuta= 35% of 40

=[tex]\frac{35}{100} *40[/tex]

=[tex]\frac{1400}{100}[/tex]

=14

chocolate donuts=14

a.donuts that are not chocolates=40-14

=26

b.donuts with sprikles=24

percent of donjts with sprikles=24/40 *100%

=(2400/40)%

=60%

c.donuts that have cream filling out of donut that have sprikles=8

percent of donuts which have sprikles with cream filling=8/24*100%

=(800/24)%

=33.33%

7.final cost=35% of $124.50

=35/100 *$124.50

=$4357.5/100

=$43.575

8.48% 0f 500

=48/100 *500

=48*5

=240

9.let the number be x

15=60% 0f number

15=60/100 *x

15/x=60/100

do cross multiplication

x*60=15*100

x=1500/60

x=25

therefore the number is 25.

10.let the percent be y%

90=y% of 60

90=y/100 *60

90*100=60y

9000/60=y

y=150 %

therefore 150% 0f 60 is 90

The probability model based on experimental probability for randomly selecting a marble from a bag is P(green)=18/40, P(Blue)=14/40, and P(white)=8/40. About how many marbles of each color are in the bag if there are 60 total marbles.

A. 27 green, 12 blue, 21 white
B. 12 green, 27 blue, 21 white
C. 27 green. 21 blue, 12 white
D. 27 white, 12 blue, 21 green

Answers

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

it the only one that make sense

The dolphin is 20 feet below the serface of the ocean.

Answers

Answer: we wont be able to answer if there is no fill out box

Step-by-step explanation:

Answer:

Can you complete the sentence?

A square with an area of A2 is enlarged to a square with an area of 25A2. How was the side of the smaller square changed?

The side length was increased by 5.
The side length was multiplied by 5.
The side length was increased by 10.
The side length was multiplied by 10.

Answers

Answer:

second option : the side length was multiplied by 5.

Step-by-step explanation:

a = side length of the original square

A² = a×a

(a+5)×(a+5) = a² + 10a + 25

and that should be equal to a²×25

a² + 10a + 25 = 25a² ?

10a + 25 = 24a²

no, that is not true for all a

a×5 × a×5 = a²×25 = 25A²

this is the correct solution, as it is true for all a.

For the area to be  25a², the side length was increased by 5.

How to calculate the area of a square

Let a be the side length of the original square, hence:

A = a²

Increasing the length by 5 will give:

(a+5)×(a+5) = a² + 10a + 25

Factorizing the result

a² + 10a + 25 = (a+5)²

a² + 10a + 25 = 25a²

This shows that for the area to be  25a², the side length was increased by 5.

Learn more on area of square here: https://brainly.com/question/25092270

Which ordered pair is located on the X-axis? A) (0,-5) B) (-2) C) (3,0) D) (-1,5)

Answers

Answer:

(3 , 0 )

Step-by-step explanation:

At x-axis, y-co ordinate is 0

So, (3,0)

Answer: (3, 0)

Step-by-step explanation: The x-intercept is a point where a line crosses the x-axis and it's important to understand that all x-intercepts have a y-coordinate of zero. So the point (3, 0)  is the x-axis.

In the picture below, I have plotted a few points including the point

in this problem to show you that all x-intercepts have a y-coordinate of zero.

find the indicated side of the triangle 60 30

Answers

Answer:

7√3

Step-by-step explanation:

tan 60° = x/7

√3 = x/7

x = 7√3

EASY GEOMETRY PLS HELP!!!!

Answers

Answer:

D

Step-by-step explanation:

It is a 30, 60, 90 triangle

if the leg on the same side as the 90 degree angle is [tex]14\sqrt{3}[/tex], then:

The base is 14, and the hypotenuse is 28

In this type of triangle:

the base [tex]\sqrt{3}[/tex] is the other leg

and 2 times the base is the hypotenuse

so x=14, and y=28

Answer D

Byron is 3 years older than Doug. The product of their ages is 40. How old Doug?
A. 10
B. 8
C. 5
D. 4

Answers

Answer:

Option B is correct

Step-by-step explanation:

Doug is x years old, so Byron is x+3 years old. The product of their ages would then be x times x+3:

x(x+3) = 40

x2 + 3x = 40

x2 + 3x + 40 = 0

Now, factor the equation:

(x+8)(x-5) = 0

Then, solve for both values of x:

x+8 = 0

x = -8

x-5 = 0

x = 5

As no one can have a negative age, we simply disregard x=-8 as invalid. Therefore, Doug is 5 years old & Byron must be 5+3 - or 8 years old.

Hope it is helpful...

Answer:

Doug is 10 years old; option A

Step-by-step explanation:

set up expressions using the information you already know:

B (byron)

D (doug)

B = D + 3

B * D = 40

you can now solve by plugging in an expression for the variable B in the second equation.  

D + 3 * D = 40

D + 3D = 40

(combine like terms)

4D = 40

(divide by 4 on both sides to isolate the variable and balance the equation)

4D/4 = 40/4

D = 10

So, the answer is A; Doug is 10 years old

Evaluate the expression below when x = 7 and y = 8.
5x2−3y

Answers

Answer:

221

Step-by-step explanation:

Substitute x = 7 and y = 8 into the expression

5(7)² - 3(8)

= 5(49) - 24

= 245 - 24

= 221

Which of the following are interior angles in the figure below?

Answers

Answer:

C

Step-by-step explanation:

The interior angles means the angles inside the triangle

the answer is c
hope that helps

The school is having a bake sale. It costs $6 to make a cake. The school wants to make a 25% profit on each cake. How much should the school charge for each cake?​

Answers

Answer:

$1.50

Step-by-step explanation:

25% of 6 is basically just 6/4, which is 1.5.

This is money we're talking about, so the answer is $1.50

Please please help with this no links please

Answers

Answer:

f/9

Step-by-step explanation:

n + 5/5 = f + 9/9

do cross multiplication

5(f+9)=9(n+5)

5f+45=9n+45

5f=9n+45-45

5f=9n+0

f/9 = n/5

Malcolm planted two trees in his yard. One tree is 50 inches tall and grows
at a rate of 2 inches per month. The other tree is 59 inches tall and grows
at a rate of 1 inch per month. How many months will it take until both
trees are the same height?

Answers

First make an equation for first tree
Y=2x+50
Then second tree
Y=1x+59
Then put them equal to eachother
2x+50=1x+59
Solve by subtracting 1x and then subtracting 50
Answer= x=9
9 months

Evaluate.



−8125−−−−√3




−425​

−25

425​

​25​

Answers

Answer:

-2/5

Step-by-step explanation:

( -8/ 125) ^ 1/3

We know (a/b) ^ 1/3 = a^ 1/3  / b^1/3

( -8) ^ 1/3  / ( 125) ^ 1/3

Rewriting

( -2^3) ^ 1/3  / ( 5^3) ^ 1/3

We know that a^b^c = a^(b*c)

-2^(3* 1/3)  / 5^(3 * 1/3)

-2 / 5

Answer:

-2/5

Step-by-step explanation:

PLEASE HELP 50 POINTS

What is the inverse of y= 1/3 * 7^x-1

Answers

Answer:

I think its C

Step-by-step explanation:

What is the square inches

A.51 square inches

B. 90 square inches

C.100 square inches

D.190 square inches

Answers

Answer:

8*8+12*3=100 is the answer

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