Study the work shown to find the exact solutions of
this trigonometric equation.


Select all that are solutions of the equation over
the specified domain.

Study The Work Shown To Find The Exact Solutions Ofthis Trigonometric Equation.Select All That Are Solutions

Answers

Answer 1

Answer:

first and fourth options

x = pi/6

x= 11pi/6

Step-by-step explanation:

cos(30 degrees) = sqrt(3)/2

as pi stands for a half circle of 180 degrees

30 degrees = pi/6

cos(30) = cos(-30) = cos (330) =

cos(pi/6) = cos(-pi/6) = cos(11×pi/6)

Answer 2

Answer:

A and d

Step-by-step explanation:

Edge:)


Related Questions

Please help me in this! you get 30 points!

Answers

Answer:

y=3x-2

Step-by-step explanation:

You can verify it's not D because the y-intercept is at -2.

You can verify it's not A because that would mean the x-intercept is 2 despite it appearing to be closer to one.

You can verify it's not B because that would mean the x-intercept is 1.5

It’s C. If I’m wrong sorry

the ratio between length and breadth of a rectangle is 7 : 5 find its length and breadth if it its perimeter is 60 m ​

Answers

Answer:

length= 17.5 m , breadth = 12.5 m

Step-by-step explanation:

The ratio of length : breadth = 7 : 5 = 7x : 5x ( x is a multiplier )

Then

2l + 2b = perimeter ( l is length, b is breadth )

2(7x) + 2(5x) = 60

14x + 10x = 60

24x = 60 ( divide both sides by 24 )

x = 2.5

Then

length = 7x = 7 × 2.5 = 17.5 m

breadth = 5x = 5 × 2.5 = 12.5 m

Pls help as fast as u can pls...

Answers

Answer:

226=2×113

321=3×107

305=5×61

133=7×19

Dùng kiến thức về suy luận
3.1. Phát biểu các quy tắc suy diễn modus ponens, lựa chọn và bắc cầu.
3.2. Em hãy viết một đoạn văn ngắn (không quá 30 từ, không giống giáo trình) thỏa:
1) Quy tắc modus tollens.
2) Quy tắc
, ( )
( )
x p x
p a

.
3.3. Em hãy xem đoạn suy luận sau đây theo quy tắc logic nào, có hợp logic hay không?
1) Một đất nước muốn phát triển về nhiều mặt thì cần phải hội nhập quốc tế. Việt Nam muốn
phát triển về nhiều mặt. Vậy Việt Nam cần phải hội nhập quốc tế.
2) Nếu trường học không có thầy giáo tốt và không có cơ sở vật chất tốt thì không có chất
lượng giáo dục tốt. Trường X không có cơ sở vật chất tốt mà có chất lượng giáo dục tốt.
Vậy trường X có thầy giáo tốt.

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hagg

Name the types of angles shown.
Check all that apply

A supplementary angles
B straight angle
C complementary angle
D right angle

Answers

Answer: C) complementary angle and D) right angle

Step-by-step explanation:

A is wrong because supplementary angles add up to 180 and this shows a right angle not a straight line

B is wrong because this a right angle not a straight angle

C is correct because complementary angles are two angles that add up to 90 degrees. angle EFH is split into EFG and GFH which adds up to 90 degrees.

D is correct because you can see the right angle symbol for angle EFH

The given angles shown in the figure are right angles and complementary angles.

Supplementary angles are two angles that add up to 180 degrees.

A straight angle is an angle that measures exactly 180 degrees.

It is a straight line, so it forms a straight angle.

A complementary angle is a pair of angles that add up to 90 degrees.

∠EFG and ∠GFH together are complementary angles as their sum is 90 degrees.

A right angle is an angle that measures exactly 90 degrees.

∠EFH is a right angle.

To learn more on Angles click:

https://brainly.com/question/28451077

#SPJ7

Please help me with this question!!! I'm
desperate!

Answers

step 2: angle o and angle p are supplementary angles

Which statement correctly describes the end behavior of y = 3x8 + 5x2 +2x - 1
es
A)
The graph rises to the left and falls to the right.
B)
The graph falls to the left and rises to the right.
C)
The graph rises to the left and rises to the right.
D)
The graph falls to the left and falls to the right.

I need help with this last question plz

Answers

Answer:

C)  The graph rises to the left and rises to the right.

Step-by-step explanation:

The highest expone tis even and it's coefficient is positive

therefor

The graph rises to the left and rises to the right.

Bob's Gift Shop sold 650 cards for Mother's Day. One salesman, Scarlett, sold 10% of
the cards sold for Mother's Day. How many cards did Scarlett sell?

Answers

Answer:

65

Step-by-step explanation:

To find the amount of something given a percentage, we first must translate the percentage into a fraction or decimal. One way to do this is to divide the percentage by 100. In this case, we can divide 10% by 100 to get 0.1

We can then multiply the percent by the total, or 100%. In this case, we have 0.1 of 650, so we multiply the two to get 0.1 * 650 = 65 as 10% of 650, or how many cards Scarlett sold

Answer:

65

Step-by-step explanation:

650 x .10 (or 10%)=65

Given the functions below,find (f -g) (-1).
f(x) = x2 + 3
g(x) = 4x - 3

Answers

Answer:

f(x)=-1,(-1)2+3=-2+3=1g(x)=-1 4(-1)-3=4-3=1(

Step-by-step explanation:

(f-g)=1

How many ways can a person toss a coin 16 times so that the number of heads is between 7 and 14 inclusive

Answers

Answer:

50626 ways with a probability of 0.77

Step-by-step explanation:

If a coin is tossed once, there are two possible results - a head or a tail. i.e 2¹ = 2

If the coin is tossed twice, there are four possible results - 4 heads no tail, 4 tails no head, 1 head 3tails or 2 heads 2 tails. That is 2² = 4

If the coin is tossed thrice, there are eight possible results. That is 2³ = 8.

Now, if the coin is tossed 16 times, there are 2¹⁶ = 65536 likely results.

From these 16 tosses, let's calculate the number of ways of achieving or selecting 7, 8, 9, 10, 11, 12, 13 or 14 heads. We use the combination formula given as follows;

Cₙ, ₓ = n! ÷ [ (n-x)! (x)! ]

Where;

n = number of tosses

x = number of selection

number of ways of getting 7 heads;

n = 16

x = 7

=> C₁₆, ₇ = 16! ÷ [ (16-7)! (7)! ]

=> C₁₆, ₇ = 16! ÷ [ (9)! (7)! ]

=> C₁₆, ₇ = 11440

number of ways of getting 8 heads;

n = 16

x = 8

=> C₁₆, ₈ = 16! ÷ [ (16-8)! (8)! ]

=> C₁₆, ₈ = 16! ÷ [ (8)! (8)! ]

=> C₁₆, ₈ = 12870

number of ways of getting 9 heads;

n = 16

x = 9

=> C₁₆, ₉ = 16! ÷ [ (16-9)! (9)! ]

=> C₁₆, ₉ = 16! ÷ [ (7)! (9)! ]

=> C₁₆, ₉ = 11440

number of ways of getting 10 heads;

n = 16

x = 10

=> C₁₆, ₁₀ = 16! ÷ [ (16-10)! (10)! ]

=> C₁₆, ₁₀ = 16! ÷ [ (6)! (10)! ]

=> C₁₆, ₁₀ = 8008

number of ways of getting 11 heads;

n = 16

x = 11

=> C₁₆, ₁₁ = 16! ÷ [ (16-11)! (11)! ]

=> C₁₆, ₁₁ = 16! ÷ [ (5)! (11)! ]

=> C₁₆, ₁₁ = 4368

number of ways of getting 12 heads;

n = 16

x = 12

=> C₁₆, ₁₂ = 16! ÷ [ (16-12)! (12)! ]

=> C₁₆, ₁₂ = 16! ÷ [ (4)! (12)! ]

=> C₁₆, ₁₂ = 1820

number of ways of getting 13 heads;

n = 16

x = 13

=> C₁₆, ₁₃ = 16! ÷ [ (16-13)! (13)! ]

=> C₁₆, ₁₃ = 16! ÷ [ (3)! (13)! ]

=> C₁₆, ₁₃ = 560

number of ways of getting 14 heads;

n = 16

x = 14

=> C₁₆, ₁₄ = 16! ÷ [ (16-14)! (14)! ]

=> C₁₆, ₁₄ = 16! ÷ [ (2)! (14)! ]

=> C₁₆, ₁₄ = 120

Therefore, the total number of ways of achieving 7, 8, 9, 10, 11, 12, 13 or 14 heads is the sum of the results above. i.e

11440 + 12870 + 11440 + 8008 + 4368 + 1820 + 560 + 120 = 50626 ways

P(getting number of heads between 7 and 14 inclusive) = [number of ways of achieving 7, 8, 9, 10, 11, 12, 13 or 14 ] ÷ [total number of possible outcomes]

= [tex]\frac{50626}{65536}[/tex]

= 0.77

$1400 is invested at 4% per annum simple interest. How long will it take for the amount to reach $1624? Show you working.​

Answers

Answer:

4 years

Step-by-step explanation:

I = prt

F = p + prt

F = 1400 + 1400 * 0.04 * t

1624 = 1400 + 1400 * 0.04 * t

224 = 56t

t = 4

Answer: 4 years

what is 5.73 as a mixed number​

Answers

Answer:

[tex]5 \ \frac{73}{100} [/tex]

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are

2 numbers to the right of the decimal point, place the decimal number over 10^2 (100). Next, add the whole number to the left of the decimal.

Answer:

5 73/100

Step-by-step explanation:

5.73 = 573

100

= 573

100

as a fraction

To convert the decimal 5.73 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

5.73 = 5.73

1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

5.73

1

= (5.73 × 100)

(1 × 100)

= 573

100

.

(This fraction is alread reduced,

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 573

100

is also equal to 5 73/100

when expressed as a mixed number.

What is the measure of angle O in parallelogram LMNO?

Answers

Answer:

O=74

Step-by-step explanation:

L=N

180-106=74

M=O

You work no more than 12 hours a week at your two jobs. The first job pays you $8 an hour, and the second job pays you $10 an hour. You must earn at least $100 each week. Which graph represents this situation (let x represent hours at job 1 and y represent hours at job 2)?

Answers

Answer:

10 hours at job (1)

2 hours at job (2)

Step-by-step explanation:

As per the given information, one earns ($8) dollars at one of their jobs, and ($10) hours at the other. One must earn a total of ($100) dollars, and can work no more than (12) hours. Let (x) be the hours worked at job 1 and (y) be the hours worked at job two.

Since one can work no more than (12) hours, the sum of (x) and (y) must be (12), therefore the following equation can be formed;

[tex]x+y=12[/tex]

One earns ($8) dollars at one of their jobs and ($10) at the other, but one earns a total of (100) one can form an equation to represent this situation.  Multiply the hours worked by the money earn per hour for each job, add up the result and set it equal to (100).

[tex]8x+10y=100[/tex]

Now set up these equations in a system;

[tex]\left \{ {{x+y=12} \atop {8x+10y=100}} \right.[/tex]

Use the process of elimination to solve this system. The process of elimination is a method of solving a system of equations. One must first manipulate one of the equations in the system such that one of the variable coefficients is the additive inverse of the other. That way, when one adds the equation, the variable cancels, one can solve for the other variable then back solve to find the value of the first variable,

[tex]\left \{ {{x+y=12} \atop {8x+10y=100}} \right.[/tex]

Manipulate,

[tex]= \left \{ {{(*-8)(x+y=12)} \atop {8x+10y=100}} \right.\\\\[/tex]

Simplify,

[tex]= \left \{ {{-8x-8y=-96} \atop {8x+10y=100}} \right.\\[/tex]

Add,

[tex]=2y=4[/tex]

Inverse operations,

[tex]y=2[/tex]

Backsolve for (x), use equation one to achieve this,

[tex]x+y=12\\[/tex]

Substitute,

[tex]x+2=12[/tex]

Inverse operations,

[tex]x=10[/tex]

1. My number has two digits.
2. Double my number is less than 150.
Follo
ther
3. I am not divisible by 12.
4. My digits are different from each other.
5. The second digit in my number is divisible
by an odd number.
6. My first digit is less than my second digit.
7. My digits add up to 14.
way.

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {Your\:answer\:is\:59.}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

1. My number has two digits.

59 is a two-digit number. ✔

2. Double my number is less than 150.

Double of 59 is 118, which is less than 150. ✔

3. I am not divisible by 12.

Since 59 is an odd number, hence it is not divisible by 12. ✔

4. My digits are different from each other.

The digits 5 and 9 are different. ✔

5. The second digit in my number is divisible by an odd number.

9 is divisible by an odd number, i.e. 3. ✔

6. My first digit is less than my second digit.

5 is less than 9. ✔

7. My digits add up to 14.

5 + 9 gives us 14. ✔

Therefore, the required number is [tex]\sf\pink{59}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

59

Step-by-step explanation:

two digits, 59=118, unable to divide by twelve since its an odd number, 9÷3=3, 5<9, 5+9=14

You deposit $ 755 each month into an IRA earning 1.3 % interest compounded monthly
How much will you have in the account in 23 years?

Answers

Answer:

FV= $242,731.14

Step-by-step explanation:

Giving the following information:

Annual investment (A)= $755

Number of periods (n)= 23*12= 276 months

Interest rate (i)= 0.013/12= 0.0010833

To calculate the future value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {755*[(1.0010833^276) - 1]} / 0.0010833

FV= $242,731.14

Solve the system of equations.
y = 3x
y = x2 - 10
A. (2,6) and (5, 15)
B. (2,6) and (-5, -15)
C. (-2,-6) and (-5, -15)
D. (-2,-6) and (5, 15)

Answers

Answer:

D. (-2, -6) and (5,15)

Step-by-step explanation:

When you set the equations together, you get x^2-3x-10. You then set this equation equal to zero and get (x-5)(x+2) or x=-2 and x=5. Then, plug these x-values into each equation to get your y-values.

4. Steven drove from place A to place B at an average speed of 50 km/h. At the same
time, Joseph drove from place B to place A at an average speed of 60 km/h using
the same route. If the distance between A and B were 300 km, what is the distance
between Steven and Joseph after one and one half hours?

5.An owner jeep traveling at an average speed of 70 km/h left the town at 2:00 pm
If it arrived in another town at 6:00 p.m., how far are the two towns?

Answers

Answer:

1. 10 km

2.280 km

please mark my answer as brainliest answer.

the answer is surely correct

4. Steven and Joseph distance between them is 162.5km
5. Two towns are 280km away

If one dog eats 5 pounds of food each week, how many dogs will 65 pounds of food feed for a week

Answers

Answer:

It will feed 13 dogs.

Step-by-step explanation:

1 dog = 5 lbs

Set up an equation:

Variable x = number of dogs

1/5 = x/65

Cross multiply:

1 × 65 = 5 × x

65 = 5x

Divide both sides by 5:

13

Check your work:

13 dogs × 5 lbs = 65 lbs

65 = 65

Correct!

PLEASE HELP I WILL GIVE BRAINLIEST AND 25 POINTS!!!
The following function represents the value of a truck, in dollars, after x years:

f(x) = 29,000(0.88)x

What does 0.88 represent?

The decrease in the value of the truck, which is 12%
The present value of the truck
The value of the truck after x years
The decrease in the value of the truck, which is 88%

Answers

9514 1404 393

Answer:

  (a) The decrease in the value of the truck, which is 12%

Step-by-step explanation:

The only reasonable choice among the offered answers is the one shown above.

__

We would describe the value 0.88 as the annual multiplier of the truck's value, which decreases 12% each year.

Select the correct answer.

Roger works part-time as a waiter at a pizza joint. He earns $9 per hour. How much does he earn for 20 hours of work?


A.

$100

B.

$120

C.

$150

D.

$180

Answers

Answer:

180

Step-by-step explanation:

9x20= 180

Answer:

Step-by-step explanation:

Well You Know you have to multiply

multiply 9 times 20

9 times 2 18

then add the zeros

The answer is 180

Please answer question 4

Answers

Answer:

53

Step-by-step explanation:

33. A labourer is engaged for 20 days on the condition that he will receive 120 for each day he
works and will be fined 10 for each day he is absent. If he receives 1880 in all, for how
many days did he remain absent?
thind of his nronerty to his son one-fourth to his daughter and​

Answers

Answer:

false

Step-by-step explanation:

g The downtime per day for a computing facility has mean 4 hours and standard deviation 0.9 hour. What assumptions must be true to use the result of the central limit theorem to obtain a valid approximation for probabilities about the average daily downtime

Answers

Answer:

To obtain a valid approximation for probabilities about the average daily downtime, either the underlying distribution(of the downtime per day for a computing facility) must be normal, or the sample size must be of 30 or more.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

To obtain a valid approximation for probabilities about the average daily downtime, either the underlying distribution(of the downtime per day for a computing facility) must be normal, or the sample size must be of 30 or more.

which of the following statements is true

Answers

Answer: B ACE is similar to DCB

Step-by-step explanation:

A state sales tax of 6% and a local sales tax of 1% are levied in Tampa, Florida. Suppose the price of a
particular car in Tampa is $15,000, and an oil change at a certain auto center is $29.
Which statement is true about the total cost of the car and the oil change after sales tax has been
calculated?

Answers

Answer:

16050, 31.03

Step-by-step explanation:

15000x1.07 (adds 7% tax)=16050

29x1.07(adds 7% tax to price)=31.03

I need help with this math problem please

Answers

Answer is A) 8xyz
Since each of the three factors contain a number divisible by 8, that would make it the numerical GCF (greatest common factor). Then when we look at the variables, we see that we can only take our one x, one y, and one z.

Here are the first three terms of a different sequence.
1
3
9
Write down two numbers that could be the 4th term and the 5th term of this sequence.
Give the rule you have used to get your numbers.


please helpp

Answers

Step-by-step explanation:

everything can be found in the picture

Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95¢​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.50. During one busy​ period, Kyle served 14 cups of​ coffee, using 204 ounces of​ coffee, while collecting a total of ​$16.70. How many cups of each size did Kyle​ fill?
Kyle filled ___ ​10-oz cup(s), ___ 14-oz cup(s), and ___ ​20-oz cup(s).

Answers

Answer:

Step-by-step explanation:

Lets assume that Kyle fill "a" 10-oz cups of coffee, "b" 14-oz cups of coffee and "c" 20 oz cups of coffee.

 

a + b + c = 16     (1)

10*a + 14*b + 20*c = 224       (2)

0.95*a + 1.15*b + 1.50*c = 18.60    (3)

Now, multiplying equation (1) by 10 and subtracting it from equation (2), we get

4b + 10c = 64  (4)

Again, multiplying equation (1) by 0.95 and substracting it from equation (3), we get,

0.2b + 0.55c = 3.4    (5)

Now,

Multiplying equation (5) by 20 and subtracting it from equation (4), we get

-c = -4,

Hence, c= 4

Putting this value in equation (4),

4b + 40 = 64

Hence, 4b = 24

So, b = 6

Again, putting the values of b and c in equation (1),

a + 6 + 4 = 16

Thus,

a = 6

Hence, the solution is

a = 6, 10oz cups of coffee

b = 6, 14 oz cups of coffee

c = 4, 20 oz cups of coffee

What is the standard form of 14587.25​

Answers

Answer:

fourteen thousand five hundred and eighty seven point twenty five.

Step-by-step explanation:

The given number is 14587.25.

We need to write it in standard form.

7 is in ones place, 8 is in tens place, 5 is in hundreds place, 4 is in thousands place and 1 is in ten-thousands place.

So,

14587.25 = fourteen thousand five hundred and eighty seven point twenty five.

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The Germans will have to work hard and incessantly for foreign masters, without any chance of personal gain, or any prospect of regaining liberty or economic independence.This peace offered to Germany is a mockery of President Wilsons principles. Trusting in these, Germany surrendered and accepted peace. That confidence has been betrayed in such a manner that all Germans must now feel that they wish to shake off the heavy yoke imposed on them by the cajoling Entente. And we fear very much that they will soon find the opportunity to do so. Chained and enslaved, Germany will always remain a menace to Europe.Algemeen Handelsblad, Dutch liberal newspaper, editorial on the Treaty of Versailles, June 1919The mention of President Wilsons principles is most directly significant to understanding the editorials point of view about the Treaty of Versailles because of the United States presidents commitment toestablish an international organization to prevent future conflictsAnswer A: establish an international organization to prevent future conflictsAwork to create nation-states for ethnic minorities that had been under imperial controlAnswer B: work to create nation-states for ethnic minorities that had been under imperial controlBbroker a peace agreement on liberal principles that would not be motivated by revengeAnswer C: broker a peace agreement on liberal principles that would not be motivated by revengeCresist the spread of Bolshevism following the Russian Revolution Choose the word that has the underlined part pronounced differently from others. 1. A. Teacher B. Children C. Lunch D. School 2. A. Languages B. Dresses C. Watches D. Becomes Mark the letter A, B, C or D on your answer sheet to indicate the word that differs from the other 3. A. Cartoon B. Channel C. Racket D. Palace 4. A. Worker B. Hotel C. Listen D. Happy If ATM is 102 kPa, what force does the atmosphere exert on the palm of your hand which has an area of 0.016 meters? Please please help me please please help 852 pounds of grapes were packed equally into 3 boxes for shipping. How many pounds of grapes were there in 2 boxes? Which of the following situations is an example of voting fraud?A.A citizen must pay a large tax before voting.B.A citizen is fired from his or her job for voting.C.A citizen impersonates others in order to vote multiple times.D.A citizen must pass a reading test before voting. i need help with this question on my homework Name the function for output in python.