Find all solutions of the equation in the interval [0, 2π). 2cosθ+ 1= 0

Answers

Answer 1

Hello!

[tex]\large\boxed{\frac{2\pi}{3} \text{ and } \frac{4\pi}{3}}[/tex]

2cosФ + 1 = 0

Begin by isolating for cosФ. Subtract both sides by -1:

2cosФ = -1

Divide both sides by 2:

cosФ = -1/2

Using the unit circle, we know that from [0, 2π), values that have a cosine of -1/2 are 2π/3 and 4π/3.

Therefore, the solutions of this equation are:

Ф = 2π/3 and 4π/3


Related Questions

help me in this too pls​

Answers

Answer:

Area Of Rectangle : l×b ( length × breadth)

Step-by-step explanation:

Hope it helps you

Answer:

to find the area u need to multiply the base and the height

and I'll just use the numbers which you have as an example

20 x 10

200cm^2

help please!!!!thankss

Answers

The last one should be correct
Sorry if wrong

Answer:

translation, the reflection

Step-by-step explanation:

because from 1 to 2 it is a translation the 2 to 3 is a reflection because you can draw a line through it


Which fraction is in simplest form?
17
51

19
30

21
24

21
35

Answers

19/30 is already in simplest formed
I think it’s 19/30 !!!!!!

Pls help I’ll brainlest ASAP pls

Answers

Answer:

128

explanation:

cross multiply whereby 8*-112

it gives u -896 which u divide by -7 to get value of m as 128

hope it helps

which statement is correct,
A.-1.5 <-2
B -2.5 < -3
C -3.5<-2.5

Answers

Answer:

c

Step-by-step explanation:

Answer:c

Step-by-step explanation: bc the smaller the negative the bigger the value


An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession
and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event A: The sum is greater than 9.
Event B: The sun is divisible by 3.
Round your answers to two decimal places.
I need the answers fast

Answers

Answer:

A=11.1%

B=33.33%

Step-by-step explanation:

A.First Die        Second die

6                          5

5                          6

6                          4

4                          6

4/36=1/9=.11=11.1 %

12/36=0.3333=33.333 percent

Admission to the circus costs $4 plus $0.50 per ride. Ella spent $17.50 at the circus.

Answers

Answer:

Ella went on 27 rides.

Step-by-step explanation:

$17.50 - $4 = $13.50

0.5 km = M

Pls help me!!

Answers

Answer:

500

Step-by-step explanation:

Im not sure what you are asking but if it’s asking how many meters then here is your answer:

0.5 km = 500 meters

I don't understand exponents well best answer gets brainly ​

Answers

Answer:

i think its 125

Step-by-step explanation:

since 5^7 = 78,125 and 5^4 = 625

then it would be 78,125

                           ----------  = 125

                             625

sorry if im wrong ;-;

If x is a positive integer, and x = 3y = 6z, what is the value of x + y in terms of z?


F. 3z

G. 5z

H. 8z

J. [tex]\frac{25}{3} z[/tex]

K. [tex]\frac{31}{3}z[/tex]

Answers

5z is the correct answer for the question

el 2% que fraccion representa​

Answers

2/100 or 1/50 :p la respuesta


You use a 40% off coupon followed by a 30% off coupon. is that
this is the same as a 70% off coupon. Explain

Answers

Answer:

Yes since 40+30=70 so it would be the same

Step-by-step explanation:

Forty percent of all high school graduate work during the summer to earn money for college tuition for the upcoming fall term. Assuming a binomial distribution, if 6 graduates are selected at random, what is the probability that at least 2 graduates have a summer job

Answers

Answer:

0.7667 = 76.67% probability that at least 2 graduates have a summer job

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Forty percent of all high school graduate work during the summer to earn money for college tuition for the upcoming fall term.

This means that [tex]p = 0.4[/tex]

6 graduates.

This means that [tex]n = 6[/tex]

What is the probability that at least 2 graduates have a summer job

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{6,0}.(0.4)^{0}.(0.6)^{6} = 0.0467[/tex]

[tex]P(X = 1) = C_{6,1}.(0.4)^{1}.(0.6)^{5} = 0.1866[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0467 + 0.1866 = 0.2333[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.2333 = 0.7667[/tex]

0.7667 = 76.67% probability that at least 2 graduates have a summer job

1. The ratio of 2h to 30min is
A. 1:15
B. 4:1
C. none of these​

Answers

Answer:

B. 4:1

Step-by-step explanation:

Since its 2 hours:30 minutes, in hours that is 2:1/2. So then if you want it in whole numbers you just multiply 2:1/2× 2 which would be 4:1.

A triangle has sides with lengths of 7 yards, 8 yards, and 9 yards. Is it a
right triangle?

Answers

Answer:

No, it is not a right triangle.

Step-by-step explanation:

A right triangle will follow the Pythagorean Theorem: a² + b² = c²

c is the hypotenuse, or the longest side. In this case, it is 9.

That means a and b are 7 and 8.

Now let's plug in the values to see if they simplify correctly.

(7)² + (8)² = (9)²

Simplify the exponents.

49 + 64 = 81

Add the left side.

113 = 81

The above expression is not true; therefore, this triangle is not a right triangle.

Thirty security personnel need to be hired. They will work one week on and one week off for 20 hours per week. If they are paid $15/hour, what is the security labor cost for a four-week month?

Answers

Answer:

$18,000

Step-by-step explanation:

Step 1.

Figure out how much it costs to hire one security personal for a month

2×20×15

=600

$600 per person per month

Step 2.

Multiply that number by the no. of people needed to be hired

600×30

=18000

∴ The security labor cost for a four-week month is $18,000

I’m stuck please help me

Answers

Answer:

7

Step-by-step explanation:

→ First find the hypotenuse of length 2 and 3

√2² + 3² = √13

→ Use it to find the length of d

√6² + (√13)² = 7

Can someone help me, please????

Answers

Answer: -12

Step-by-step explanation:

if you'd like to convert a Fahrenheit temperature to an approximate Celsius temperature: Start with the temperature in Fahrenheit

Answer:

-12 degrees

Step-by-step explanation:

Fahrenheit and Celsius

10 degree fahrenheit

What is the celsius?

____________________

Take a look at the picture with the information provided, we see that f is the vertical line while c is the horizontal line. Since we are looking for 10 degree fahrenheit, let's find it on the vertical line. If we look at the red line, when it goes across 10 fahrenheit, the approximate part that it hits celsius is -12 degrees.

Y=1/3x+14 in point slope form

Answers

Answer:

ok so.. whats the question?

Step-by-step explanation:

Answer:

y = 1/3x + 14

Step-by-step explanation:

The REASON THAT IS AN SLOPE INTERCEPT FORM IS BECAUSE IT IS ALREADY IN SLOPE INTERCEPT FORM.

Determine whether each of the properties described applies to volumetric or graduated glassware.

a. Used for applications in which great accuracy is needed __________
b. Capable of measuring a range of volumes of liquid _________
c. Designed to measure one specific volume of liquid _________

Answers

Answer:

a. volumetric glassware

b. Graduated glassware

c. volumetric glassware

Step-by-step explanation:

The graduated glassware and the volumetric glassware is the factory  calibrated used to deliver such as the graduated cylinders and pipettes and it contains the volumetric flask of a known amount of the liquid.

A volumetric glassware is a type of the laboratory flask and a graduated glassware is mostly of the cylinder shape and is also known as the measuring cylinder.

In the context,

a). The volumetric glassware is used in the applications where much accuracy is needed to perform the experiment.

b). Graduated glassware is used for measuring a wide range of volume of the liquid used in the laboratory,

c). The volumetric glassware is used to measure one specific amount of the volume of the liquid to be used.

This year, John played in 10 baseball games. In these games he had hit the ball 2,3,1,1,3,2,4,6,2, and x times. The mean is 3 hits per game. Find the missing value

Answers

Answer:

x = 3

Step-by-step explanation:

The mean is the average so set up an equation that adds up all the points and divides them by the total, set equal to 3, and solve for x

(2+3+1+1+3+2+4+6+2+x)/10 = 3

(24 + x)/10 = 3

24 + x = 30

x = 6

To check if this is correct, add up all the numbers and divide by 10.

2+3+1+1+3+2+4+6+2+6 = 30/10 = 3

Answer:

Step-by-step explanation:

To solve this problem, we need to use the formula for calculating the mean or average of a set of data, which is:mean = sum of all values / number of valuesLet's first find the mean of John's hits in the 10 games he played this year:mean = (2+3+0+1+3+2+4+0+2+3) / 10 = 2.0So, John's mean hits per game in the 10 games he played this year is 2.0.To increase his mean by 0.5 in the first 10 games he plays next year, John needs to achieve a mean of 2.5 hits per game. Let's call the total number of hits John needs to achieve this mean "x".To find "x", we can use the formula for calculating the mean again:2.5 = (total number of hits in the next 10 games + total number of hits in the previous 10 games) / 20Multiplying both sides by 20, we get:total number of hits in the next 10 games + total number of hits in the previous 10 games = 50Substituting the total number of hits in the previous 10 games with the sum of all hits John had in those games, we get:total number of hits in the next 10 games + (2+3+0+1+3+2+4+0+2+3) = 50Simplifying this equation, we get:total number of hits in the next 10 games = 50 - 20 = 30Therefore, John needs to achieve a total of 30 hits in the first 10 games he plays next year to increase his mean hits per game by 0.5. So, the answer is (3) 20.

The bottom of a swimming pool is 10 feet below the surface of the water in the pool. The surface of the water is represented by the number 0, and the bottom of the pool is represented by the number -10. The pool’s diving board is the same distance above the surface of the water as the bottom of the pool is below the surface of the water.

What number represents the location of the diving board?

Answers

Answer:

10

Step-by-step explanation:

diving board = distance of bottom of pool to surface = 10

diving board 10

| 9

| 6

| 3

surface 0

| -3

| -6

| -9

bottom -10

The number 10 represent the location of the diving board from the surface of the water in the pool.

Given that, the bottom of a swimming pool is 10 feet below the surface of the water in the pool.

What is an Integer?

Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.

The pool’s diving board is the same distance above the surface of the water as the bottom of the pool is below the surface of the water.

That is , 10 feet

The diving board is 10 feet above the surface of water

The diving board is 20 feet above the bottom of a swimming pool

Therefore, the number 10 represent the location of the diving board from the surface of the water in the pool.

To learn more about an integers visit:

https://brainly.com/question/15276410.

#SPJ2

The distance from the origin to the point (-6, 8) is

Answers

Answer:

10

Step-by-step explanation:

[tex]\sqrt{(-6-0)^2+(8-0)^2} =10.[/tex]

what is the answer to -1x3+4

Answers

Answer:

Your answer is 1, look below please

Step-by-step explanation:

ASSUMING that the x is a variable your equation is -1x=3+4 which would be...

-1x=7, then divide by -1 which gives us -7

I used a calculator and it said it the answer is 1

Which expression is a factor of
g(x) = 36x2 + 23x - 3

Answers

I believe it is 3......

Can you please help me thanks

Answers

Answer:

34.1x

Step-by-step explanation:

Each hour adds 34.1 more earnings. 4 x 34.1 = 136.4. 16 x 34.1 = 545.6 and so on and so forth.

Answer:

The cost per hour is 34.1

Step-by-step explanation:

136.40/4=34.1

545.60/16=34.1

716.10/21=34.1

the proportional is 34.1 in the earnings and time in an hour.

A liter of water contains about 3.35 * 10 ^ 25 molecules. A certain river discharges about 2.4 * 10 ^ 7 of water every second. About how many molecules does the river discharge every minute?

Answers

Answer: 3.6791719e+46

Step-by-step explanation :

3.35 * 10 = 33.5 ^25

molecules per litre = 33.5 ^ 25

2.4 * 10 = 24 ^ 7 = 4,586,471,424  ( we'll assume this is ml as the question doesn't specify ) so thats 4,586,471,424ml discharged every second which is 4,586,471 litres per second. 4,586,471 * 60 seconds in a minute = 275,188,260 litres discharged every minute.

molecules per litre is 33.5 ^ 25 and litres discharged per minute is 275,188,260  

so the answer would be : 275,188,260  *  33.5 ^ 25 = 3.6791719e+46 (in other words a big number)

Check yourself ^

Vie
What is the y-intercept of the line with the equation y = 4x+ 2?
a-2
C. 2
b 4
d.
NIN
Please select the best answer from the choices provided
A
D
Mark this and retum
Save and Exit
Next

Answers

Answer:

c. 2

Step-by-step explanation:

the Y- intercept is 2 because it says +2

Match the term to its definition
Brainlessly and 25 points
Definitions on picture
•wages
•stock
•gross domestic product
•credit
•standard of living
•stock
•market crash
•interest
•great depression
•consumer
•surplus

Answers

Chicken nsnsnsndbd bhzhx

The circumference of the earth is approx. 40,000 km.

a) What is the diameter of the earth?

b) Calculate the volume of the soil​

Answers

I believe the answer you are look for is A
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