Square root 3 sin theta = -3 cos theta

Answers

Answer 1

Answer:

Step-by-step explanation:

hello : the equation is : √3 sinθ= -3 cosθ means :

sinθ/cosθ = -3/√3

sinθ/cosθ = - √3 because : 3 =√3 ×√3

but : sinθ/cosθ = tan θ

tan θ = - √3 and - √3 = tan( π - π/3) = tan(2 π/3)

you have : tan θ = tan(2 π/3)

note : tanx=tany means : x= y + k π ... k in Z

so : all solutions in R are θ = 2 π/3+k π ... k in Z


Related Questions

WALLAHI HELP ME PLEASE

Answers

Answer:

The answer is D) dotted line, shaded above

Step-by-step explanation:

Hope this helpsss :)

someone please help me i’ll give you brainliest

Answers

Answer:

its b

can i have brain im about to level up

B because it is u feel me it just is u have to trust me deep down from your gut

Can someone help me pls

Answers

Answer:

64

Step-by-step explanation:

Answer:

64 Is the answer easy

Step-by-step explanation:

64 is the answer

on a recent hike through riverbend park antoinette traveled 2/3 mile in 1/3 hour . Which unit rate describes antoinettes speed in miles per hour

Answers

Answer:

Her speed is of 2 miles per hour.

Step-by-step explanation:

Velocity:

The velocity is given by the following formula:

[tex]v = \frac{d}{t}[/tex]

In which v is the velocity, d is the distance and t is the time.

2/3 mile in 1/3 hour .

This means that [tex]d = \frac{2}{3}, t = \frac{1}{3}[/tex]

Which unit rate describes antoinettes speed in miles per hour?

This is v. So

[tex]v = \frac{d}{t} = \frac{\frac{2}{3}}{\frac{1}{3}} = \frac{2}{3}*\frac{3}{1} = 2[/tex]

Her speed is of 2 miles per hour.

1.) The function g is related to one of the parent functions
g(x) = x^2 + 6
The parent function fis:
f(x)= x^2
Use function notation to write g in terms of f.​

Answers

Answer:

g is terms of f is given by: [tex]g(x) = f(x) + 6[/tex]

Step-by-step explanation:

We are given these following function:

[tex]g(x) = x^2 + 6[/tex]

And

[tex]f(x) = x^2[/tex]

Use function notation to write g in terms of f.​

We can see that function g(x) is f(x) added by 6. So

[tex]g(x) = f(x) + 6[/tex]

g is terms of f is given by: [tex]g(x) = f(x) + 6[/tex]

Find the solution(s) to (x + 2)^2 = 49. Check all that apply.

Answers

Take the square root of both sides of the equation to get (x+2)=7

Then subtract 2 on both sides to get
x=5

Please help I’ll mark you as brainliest if correct!

Answers

Answer: 200+50m>1,250

Step-by-step explanation:

It starts with 200 so that is by itself. The m is added to the number that is changing every so often, in this case $50 a month. They need more than $1,250 so we use the greater than sign.

Bailee plots two points on the coordinate grid. She put point J at (3,9) and (8,2)

Answers

Answer:

B. 8.6 units

Step-by-step explanation:

I've plotted both points on the picture below. The distance between the two points is 8.6023252670426 units, which is closest to B, 8.6 units. As a result, B is the answer to this question.

mike ran 1/2 mile during gym class . how many feet did he run.

Answers

2640 feet . i it hope it’s right

PLEASE HELP


Quality Cab charges $1.50 for the first mile
and $0.30 for each additional mile. Comfy
Cab charges $2.40 for the first mile and $0.20
for each additional mile. At what distance
do the two charge the same?



And please add how you did it

Answers

Answer:

£4.40

Step-by-step explanation:

you

just

add

it

all

up

I think

Answer: 1.5 + .3m = (20-2)

1
2. Which line has a slope of 4? Real answers and explanations please, NO LINKS
Line A
5
Line B
Line C
o
5
10
A line A
Cline C
D None
Bline B

Answers

9514 1404 393

Answer:

  D  None

Step-by-step explanation:

The steepest line shown is line A, which has a rise/run = 5/2. It is not a slope of 4.

No line shown has a slope of 4.

Tarzan leaned a 100-foot ladder against the side of a building. The
hase of the ladder is 18 feet from the base of the building. The top of
the ladder is 16 feet from the top of the building How tall, to the
narest tenth of a foot, is the building?
16
100
18

Answers

Answer:

is 16 foot a part from the building

what is the slope of a line with one point at (6,3) and another point at (8,2)

Answers

Heyoo. I hope this helps you! If you don’t understand, feel free to ask me anything so I can help. There is a formula that I used to solve it (it is included in the picture and properly labelled).

Keep in mind that it even though I labelled (6,3) as x1 and y1 respectively, you can also label them x2 and y2 and label (8,2) as x1 and y1 and still get the same answer.

: )

The sum of all digits of some number is 210. The number is always divisible by:
A. 3
B. 2
C. 5
D. 9
E. 10
Please show work and I will mark brainlist.

Answers

Answer:

2

Step-by-step explanation:

so so that you could get both halves, we had to divide by two then I got 105 +105 meaning 210 could be divided by 2

Jamal purchased a truck for $10,000. The truck depreciates 10% each year. What is the value of
the truck after 8 years? Round 2 decimal places.

Answers

Answer:

Step-by-step explanation:

Uui

In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34). If one ticket is purchased, what is the probability of winning the jackpot? Testir​

Answers

This can be found by finding 44 chosen 5 at a time times 1/32.
That would be
44! / (44-5)!(5!) * 32 =
1 chance in 34,752,256

The probability of winning the jackpot is 1/32728332.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34).

Total number of white balls = 43

Number of combinations of selecting 5 from 43 = 43C₅  

                                                                                = 43! / (5! × 38!)

                                                                                = 962598

Total number of gold balls = 34

Number of combinations of selecting 1 from 34 = 34C₁

                                                                               = 34

Total number of ways of selecting 5 white balls and 1 gold ball = 962598 × 34 = 32728332

There is only 1 way for which the player wins the jackpot.

Probability of winning the jackpot = 1/32728332

Hence the required probability is 1/32728332.

Learn more about Combinations here :

https://brainly.com/question/13027684

#SPJ2

which expression can you substitute for x in 5x+y=8 to solve the system below?
5x+y=8
x+4y=2

Answers

Answer:

x =30/19 and y =2/19

Step-by-step explanation:

5x + y = 8

x + 4y = 2

then

5x + y = 8

-5(x +4y =2)

5x + y = 8

-5x - 20y = - 10

0 +y - 20y = -2

- 19y = -2

y = 2/19 then

5x + 2/19 = 8

5x = 152-2/19

5x/5 =150/19 *1/5

x =30/19

Solve the system
y= 17x – 6
y= 12x + 44

Answers

Answer:

×=10 y= 164

Step-by-step explanation:

we take the first equation and replace it on the second equation where there is y

1. You have applied for two scholarships: the TRIO Opportunity Grant (TOG) and the Vermont Opportunity in Education (VEOP) scholarship. From data collected over the years, the probability that you receive the VEOP scholarship is 0.25, the probability that you receive both scholarships is 0.15, and the probability that you get at least one of these scholarships is 0.37. a. What is the probability that you receive the TOG

Answers

Answer:

0.27 = 27% probability that you receive the TOG scolarship.

Step-by-step explanation:

I am going to solve this question treating these probabilities as Venn probabilities.

I am going to say that:

Event A: TOG scolarship

Event B: VEOP scolarship

The probability that you receive the VEOP scholarship is 0.25

This means that [tex]P(B) = 0.25[/tex]

Probability that you receive both scholarships is 0.15

This means that [tex]P(A \cap B) = 0.15[/tex]

The probability that you get at least one of these scholarships is 0.37.

This means that [tex]P(A \cup B) = 0.37[/tex]

What is the probability that you receive the TOG?

This is P(A). These measures are related by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A) = P(A \cup B) + P(A \cap B) - P(B)[/tex]

Replacing with the values in this question

[tex]P(A) = 0.15 + 0.37 - 0.25 = 0.27[/tex]

0.27 = 27% probability that you receive the TOG scolarship.

Jasmine conducted a survey of 83 people. 17/of them chose fish as their favorite dinner. How many would you expect to
choose fish out of the population of 250 people?

Answers

Answer:

52

Step-by-step explanation:

Ok, so first, we should find the fraction and turn that into a decimal. Do this by dividing the numerator by the denominator.

17/83 = 0.2048192771.

Now, we simply multiply our decimal by the new amount of people.

0.2048192771 x 250 = 51.2048192771.

Lastly, we should round our number up, as you can't possibly have a fraction of a person.

Our final answer is that roughly 52 people will be choosing fish, according to this sample

Find the indicated term of the given geometric sequence.

a1 = 11, r = 3.4, n = 7

Answers

Answer:

a₇ = 16992.84

Step-by-step explanation:

Given that,

a₁ = 11, r = 3.4 and n = 7

The geometric sequence is given by :

[tex]a_n=a_1\cdot r^{n-1}[/tex]

Put all the values,

[tex]a_7=11\times (3.4)^{7-1}\\\\=11\times (3.4)^6\\\\=16992.84[/tex]

So, the seventh term is equal to 16992.84.

130% of what number is 75.4?

Answers

58 message me if i’m wrong i’ll try to fix my answer <3

4. Which set is an example of like fractions?
O A. 10/10 and 5/5
O B.74 and 4
O C.2/1 and 23
OD.72 and 32
A

Answers

A, they both equal to 1 when simplified
Answer is A. 10/10=1 and 5/5=1
Also, when simplified by 2, 10/10 equals 5/5. 10:2/10:2=5/5

A local brewery distributes beer in bottles labeled 24 ounces. A government agency thinks that the brewery is cheating its customers. The agency selects 50 of these bottles, measures their contents, and obtains a sample mean of 23.7 ounces and sample standard deviation of 0.8 ounces. . Test the claim by the government agency that the population mean is less than 24 ounces at the 0.01 level of significance.

Answers

Answer:

We reject H₀ . We support the feeling of people from a government agency

Step-by-step explanation:

Population information:

Population mean   μ  =  24 ou

Sample information:

Sample size   n  =  50    then   degree of fredom df = n - 1 = 49

Sample mean   x  = 23,7

Sample standard deviation   s = 0,8

Hypothesis Test:

Null Hypothesis                          H₀                x  = μ

Alternative hypothesis              Hₐ                 x < μ

Significance level   α  = 0,01

We can conclude from the alternative hypothesis that we should develop a one tail-test ( to the left " if a local brewery is cheating its customers that mean,  they are selling less beer than they are supposed to)

With α  = 0,01 and df  =  49 we get from t-student table t(c) = - 2,4

To calculate t(s)

t(s) =  (  x  -  μ  ) / s/√n

t(s)  = ( 23,7  - 24  ) / 0,8/√50

t(s)  =  - 0,3* 7,07 / 0,8

t(s)  = - 2,12 / 0,8

t(s) = - 2,65

Comparing t(c) and t(s)

|t(c)| < |t(s)|

2,4 < 2,65

Then t(s) is in the rejection region we reject H₀ , and agree with a government agency in the fact that at 99 % of confidence interval shows that local brewery is cheating customers

Many employers screen by GPA, in addition to a variety of skills. Suppose a student is in the last semester of college and has a 2.78 GPA after 105 credit hours. If he is taking 15 credit hours in his last semester and gest a perfect 4.0 GPA, what will his overall GPA be? Round to the nearest 2 decimal places. Is it possible to get his GPA up to a 3.0 by graduation?​

Answers

Answer:

um?

Step-by-step explanation:

Step-by-step explanation:

15*4 = 60 and

105 + 15 =120 and then

x/105 = 2.78

x = 291.9+60

total credit = 351.9 then

351.9/120 =2.9325

Round 2 decimal place is

2.93

Solve each of the following equations. Show its solution set on a number line. 5− p+6 =−8

Answers

5-|p+6|=-8

5-distance=-8= distance of them= 13

|p+6|=13

distance between/from p and -6

= -19 or 7,

So

Please Make me the brainliest pls

Find the discounted price, to the nearest cent, for a portable CD player that sells for
$59.95 and is on sale for 30% off. (3 points) help pls

Answers

Answer:

41.96$

Step-by-step explanation:

To find the discounted price we need to calculate the 30% of the $59.95

and to do that we need to multply 59.95 with 30 and divide it by 100

59.95 x 30 ÷ 100 = 17.985

59.95 - 17.985 = 41.965 and 41.96 is the discounted price

A shipping company charges an oversize package fee if the sum of the
dimensions of the package are more than 60 in. The length of the package you
want to send must be twice its width. What are the dimensions of a package
with maximum volume that avoids the oversize fee?​

Answers

Answer: Length = 40 inches

Width = 20 inches

Step-by-step explanation:

Let the width of the package be represented by x.

Since the length of the package must be twice its width, therefore the length will be: = 2 × x = 2x

Since the sum of the dimensions equals 60 inches. This will then be:

x + 2x = 60.

3x = 60

x = 60/3

x = 20

Therefore, the width = 20 inches

Length = 2x = 2 × 20 = 40 inches

The dimensions should be 40 by 20 inches.

The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied).
Job Satisfaction Score Probability
IS Senior Executives IS Middle Managers
1 0.06 0.04
2 0.09 0.10
3 0.03 0.13
4 0.42 0.45
5 0.40 0.28
(a) What is the expected value of the job satisfaction score for senior executives?
(b) What is the expected value of the job satisfaction score for middle managers (to 2 decimals)?

Answers

Answer:

a) The expected value of the job satisfaction score for senior executives is:

= 4.01

b) The expected value of the job satisfaction score for middle managers is:

= 3.83

Step-by-step explanation:

a) Data and Calculations:

Job Satisfaction             Probability

Score  

                IS Senior Executives    IS Middle Managers

1                          0.06                             0.04

2                         0.09                             0.10

3                         0.03                             0.13

4                         0.42                             0.45

5                         0.40                             0.28

Low of 1 = very dissatisfied

High of 5 = very satisfied

Job Satisfaction     IS Senior Executives             IS Middle Managers

      Score       Probability  Expected Value   Probability  Expected Value

1                      0.06               0.06 (1 * 0.06)      0.04           0.04 (1 * 0.04)

2                     0.09               0.18 (2 * 0.09)      0.10            0.20 (2 * 0.10)

3                     0.03               0.09 (3 * 0.03)      0.13            0.39 (3 * 0.13)

4                     0.42               1.68 (4 * 0.42)       0.45           1.80 (4 * 0.45)

5                     0.40               2  (5 * 0.40)         0.28            1.40 (5 * 0.28)

Expected value                    4.01                                          3.83

Can someone help me pls

Answers

Answer:

AB = 18

Step-by-step explanation:

tan 45° = 18/AB

1 = 18/AB

AB = 18

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