Cos x + square root 3 = -cos x

Answers

Answer 1

Answer:

[tex]\cos x + \sqrt{3} = -\cos x\\2\cos x = -\sqrt{3}\\\cos x =-\frac{\sqrt{3}}{2}\\x=\frac{\pi}{6}[/tex]

(the other solutions can be obtained by adding 2pi as many times as you want)


Related Questions

Peyton invested $300 into a savings account. The equation
A = 300(1.005)12t models the amount in Peyton's account A after t
years. How much will be in Peyton's account after 7 years?

Answers

Hey!
First let’s plug in 7 for t. 300(1.005)12(7), 12*7= 84
300*1.005= 301.5
301.5*84= 25,326

Peyton will have $25,326 in her account after 7 years.

WHAT IS THE PERIMETER OF THE TRIANGLE

GET THIS RIGHT AND YOU GET 100 POINTS

Answers

Answer:

40

Step-by-step explanation:

SO im guessing if its the full graph one box counts 1.

So the top side counts 8

The left one is 15

The perimeter means adding all the sides together.

We already have 2. But finding the hypotenuse would not be easy from graph so we will use Pythagorean theorem.

a^2+b^2=c^2

8^2+15^2 = c^2

64+225 = c^2

289 = c^2

c = 17

so the perimeter is 8+15+17 = 40

Please solve the equation​

Answers

Answer: x=15/2

Step-by-step explanation: Divide both sides by 4 so 64/4  Simplify 64/4 ​to  16. 2x=16−1 2x=15 Divide both sides by 2  x=  

15/2

HOPED THIS HELPED :))

​  

 

20 POINTS!!! Giving Brainliest
This figure consists of a rectangle and semicircle.

What is the area of this figure?

Use 3.14 for π.

Enter your answer as a decimal in the box.



Use 3.14 for pi.


Enter your answer as a decimal in the box. Round your answer to the nearest hundredth.

Answers

Answer:

Im not sure if my asnwer is right but i got 38.13

Step-by-step explanation:

Our formula is pi×r×2÷2+L+W

Solve. 2(2z + 5) = 50​

Answers

Answer:

z = 10

Step-by-step explanation:

Distribute 2 to the terms in the parentheses:

2(2z + 5) = 50​

4z + 10 = 50

Subtract 10 from both sides

4z = 40

Divide each side by 4

z = 10

So, the answer is z = 10

Answer:

10

Step-by-step explanation:

1. Factorize left side.

2*2z+2*5=50

4z+10=50

2. Subtract 10 from both sides

4z=50-10

4z=40

3. Divide both sides by 4

z=40/4

z=10

A ___ is a portion of __ that has a definite length and it is located between two points.
Ray
Line
Segment

Answers

Segment is a portion of line

The correct answer is segment and line.

The following information should be considered;

A segment should be the portion of the line that contains the definite length. Also, it should be located between two points. Therefore, the ray option should be ignored.

Learn more: brainly.com/question/17429689

you have a photo of a tool shed. in the picture the shed measures 2 inches wide and 1.3 inches tall. if the shed is actually 9 feet tall, how wide is the shed?

Answers

Answer:

70 1/5 inches or 70.2

Step-by-step explanation:

9x12 is 108 inches

108 divided by 2 is 54 inches

1 inch for every 54 inches

1.3x 54 is 70.2

BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

Skewed Left

Step-by-step explanation:

What is the equation of an exponential function with base=2 that has a vertical stretch by a factor of 3, a shift to the right 5 and a shift up 6 ?

Answers

Answer:

[tex]y=3(2)^{x-5}+6[/tex]

Step-by-step explanation:

Let the equation of the exponential function with base 2 is,

[tex]y=a(2)^{x+c}+d[/tex]

Here, a = vertical stretch

c = Horizontal shift

d = Vertical shift

If this function has a vertical stretch by a factor of 3,

Equation will be,

[tex]y=3(2)^{x+c}+d[/tex]

If this function has a shift of 5 to the right,

Equation of the function will be,

[tex]y=3(2)^{x-5}+d[/tex]

If this function has a shift of 6 units upwards,

[tex]y=3(2)^{x-5}+6[/tex]

125/95 as a decimal ill mark you brainliest

Answers

The answer would be 1.3157

If you are rounding to nearest tenth it would would be 1.3

If your rounding to nearest hundred then it would be 1.32

If your rounding to nearest thousand then it would be 1.316

Tell weather the function is linear or non-linear.

Answers

Answer:

non-linear i'm pretty sure

Step-by-step explanation:

it is non linear i think

Which statement is true?
Question 19 options:

A)

|–3| = 3 and –|–4| = –4

B)

|–3| = 3 and –|4| = 4

C)

–|3| = 3 and |4| = 4

D)

|–3| = 3 and |–4| = –4

Answers

Answer:

the first one is true and not sure 100% that the others are false all

willie runs 2 in 22 minutes. the same rate, how many miles can he run in 132 minutes? please help me as soon as possible

Answers

Answer:

He can run 12 miles in 132 minutes.

Step-by-step explanation:

2/22=x/132

simplify 2/22 into 1/11

1/11=x/132

cross product

11*x=1*132

11x=132

x=12

What do you think the value of represents in the function? How can you predict what the graph of a quadrati function will look like knowing the value of k in a vertex form y=(x-7) *?​

Answers

Answer:

Step-by-step explanation:

Parts of the question are missing.

y = a(x-h)² + k is a vertical parabola.

If a is positive, the parabola opens upwards.

If a is negative, the parabola opens downwards.

The vertex is at (h, k)

Harriet bought 3 gal. 2qt, of a paint for her living room. She used 2 gal, 3 qt. How many paint is left over?

Answers

Answer:

3 qt

Step-by-step explanation:

Let's stick to one unit to facilitate things. I'm going to use quarts as the unit.

1 gal = 4 qt

Initial value = 3 gal 2 qt = 14 qt

Change = 2 gal 3 qt = 11 qt

14 qt - 11 qt = 3 qt

I don’t get this Please help

Answers

Answer:

The second one! -5.99%

Step-by-step explanation:

Which data set could be represented by the box plot shown below?
I will mark brainliest!

Answers

Answer:

0,1,2,3,4,5,6,7,8,9,10,11

Step-by-step explanation:

starts at 0 and ends at 11

(i think)

The ages of six boys are given as 12years 3 months,18years 10months,18years 8months,13years 4months,17years 11month and 15years respectively, what is their average age?

Answers

7 yrs old


12+0.25+18+0.83+13+0.333+17+0.916+15=77.326
77.326/11=7.029 which rounds to 7

IF TWO ANGLES ARE CORRESPONDING ANGLES AND <1=59, WHAT IS THE MEASURE OF <2?

Answers

Answer:

72 degrees. Don’t copy me!!!!

Step-by-step explanation:

p is an odd number.
Explain why p^2 +1 is always even number

Answers

Answer:

every odd number that squares up and add 2 will give an even answer

Answer:

see explanation

Step-by-step explanation:

Given that p is an odd number , then

p² is always an odd number

Adding 1 to an odd number gives an even number.

So p² + 1 is always even for p odd

answer for brainliest and 20 points

Answers

Answer:

1. 729

2. 25

3. 513

4. 343

5. 1

Step-by-step explanation:

1.

3x3x3x3x3x3

9x9x9

81x9

729

2.

-5 x -5

5x5

25

3.

8-6=2

2x2x2x2x2=

4x4x2=

16x2=

32

-2x-2x-2x-2=

4x4=

16

32x16+1=513

4.

7x7x7x7=

49x49=

2401

2401x2401=

5764801

7x7x7x7x7=

2401x7=

16807

5764801/16807 = 343

5.

9-1=8

8x8x8=512

6+2=8

8x8x8=512

512/512=1

what is the image of (-4,-2) after a reflection over the y=-x​

Answers

Answer:

(2,4)

Step-by-step explanation:

because the coordinates change places and signs

Answer:

(- 4, - 2 )

Step-by-step explanation:

The volume of a rectangular prism is 473.2 cubic millimeters. If the length is 7 millimeters and the width is 10.4 millimeters, what is the height of the rectangular prism?

Answers

Answer:

c

Step-by-step explanation:

it is

Help me pls TwT I’m really suck at school

Answers

Answer:

The answer is A.

Step-by-step explanation:

question that i dont know

Answers

Answer:

A translation of 3 units to the right and a translation of one unit upwards.

Step-by-step explanation:

When we analyze translations of whole figures, all the points in the figure suffer the same translation, then we only need to analyze the translation of one of the points.

This means that we can only see the translation from A to A'

First, let's find the coordinates of each point:

A (2, 3)

A' (5, 4)

The translation is given if we calculate the difference between these coordinates:

A' - A =  (5, 4) - (2, 3) = (5 - 2, 4 - 3) = (3, 1)

The change in the x-value is 3.

The change in the y-value is 1.

Then we can conclude that:

A' is 3 units at the right of A

A' is 1 unit above A.

Then the translation is:

A translation of 3 units to the right and a translation of one unit upwards.

Find the area of each composite figure.
Round to the nearest TENTH if necessary.

Answers

Answer:

33

Step-by-step explanation:

split it in to two shape 3*7 and 6*2

7*3=21

6*2=12

21+12=33

Please help!
Above is the worlds largest pizza, coming in at a whopping 122ft in diameter. What is the area of the pizza? Round your answer to the nearest whole number.

Answers

Answer:

11,695 ft²

Step-by-step explanation:

Since the pizza is circular

Area of a circle = π r²

where r is the radius

but radius is the diameter divided by 2

[tex]r \: = \: \frac{122}{2} \\ r \: = \: 61ft[/tex][tex]area \: = \: \pi \: \: {r}^{2} \\ area \: \: = \: \frac{22}{7} \times {61}^{2} \\ area \: = \: 11695 \: {ft}^{2} [/tex]

Solve: 46, 56, 67, 78, 34, 46, 57 mean: Range: Median: Mode:

Answers

Answer:

mean:54.857142857143

Range:44

median:56

mode:46

Answer:

Mean: 54

Median: 56

Range: 44

Mode: 46

If you need any help revolving around this topic,feel free to ask and I will be happy to help. Good luck!

1)A System of equations is shown below . What is the solution to the system of equations? 5x+2y=-15 2x-2y=-6

Answers

Answer:

x= -3 and y= 0

Step-by-step explanation:

5x+2y=-15

2x-2y=-6    

7x        =-21

x= -3

Putting value of x in equation 1  

5(-3) +2y=-15

-15+2y= -15

2y= 0

y= 0

This can be solved with the help of matrices

In matrix form the above equations can be written in the form

[tex]\left[\begin{array}{ccc}5&2\\2&-2\/\end{array}\right][/tex]  [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]  = [tex]\left[\begin{array}{ccc}-15\\-6\\\end{array}\right][/tex]

Let

[tex]\left[\begin{array}{ccc}5&2\\2&-2\/\end{array}\right][/tex] = A  [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]  = X  and  [tex]\left[\begin{array}{ccc}-15\\-6\\\end{array}\right][/tex]= B

Then AX= B

or X= A⁻¹ B

where  A⁻¹= adj A/ ║A║   where mod A≠ 0

adj A=  [tex]\left[\begin{array}{ccc}-2&-2\\-2&5\/\end{array}\right][/tex]

║A║= ( 5*-2- 2*2)= -10-4= -14≠0

X= A⁻¹ B

 [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]    =- 1/14  [tex]\left[\begin{array}{ccc}-2&-2\\-2&5\/\end{array}\right][/tex]   [tex]\left[\begin{array}{ccc}-15\\-6\\\end{array}\right][/tex]

 [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]    =- 1/14     [tex]\left[\begin{array}{ccc}-2*-15&+ -2*-6\\-2*-15&+ 5*-6\\\end{array}\right][/tex]

 [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]  =- 1/14 [tex]\left[\begin{array}{ccc} 30&+12\\30&+-30\\\end{array}\right][/tex]

 [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]  =- 1/14 [tex]\left[\begin{array}{ccc}42\\0\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]  = [tex]\left[\begin{array}{ccc}-42/14\\0/-14\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]  = [tex]\left[\begin{array}{ccc}-3\\0\\\end{array}\right][/tex]

From here x= -3 and y= 0

Solution Set = [(-3,0)]

A bag contains 20 marbles: 5 red, 5 blue, and 10 yellow. What is the probability that a red is randomly selected?
A)
PIE
B)
6
C
12
D
1
24

Answers

Answer:

1/4

Step-by-step explanation:

The answer would be one fourth because the amount of red is 5/20 which is equal to 1 fourth.

Hope this helps

Consider Marking Brainliest

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