If sine of the quantity x plus y end quantity equals one half times sine of x plus radical 3 over 2 times cosine of x. What is the value of y?


A. pi over 2

B. pi over 3

C. pi over 4

D. pi over 6

If Sine Of The Quantity X Plus Y End Quantity Equals One Half Times Sine Of X Plus Radical 3 Over 2 Times

Answers

Answer 1

The value of y from the given trig expression is pi/3 rad

Trigonometry identity

These identities are expressed in terms of sine, cosine and tangent

Given the expression

[tex]sin(x+y)=\frac{1}{2}sinx+\frac{\sqrt{3}}{2} cosx[/tex]


Expand sin(x+y)

sin(x+y) = sinxcosy + cosxsiny

Compare both equations

cosy = 1/2

y = arccos(1/2)

y = 60 degrees

y = pi/3 rad

Hence the value of y from the given trig expression is pi/3 rad

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Answer 2

Answer:

The answer is pi/4

When you input all the other values into the equation, they aren't true. When you input pi/4 the equation is true.


Related Questions

Solve the equation. 2ª = 0.36 O + or - 0.5 O+ or - + or - 0.6 + or -0.7 06 please answer quickly ​

Answers

Answer:

2nd answer is correct.

Step-by-step explanation:

z² = 0.36

z² = [tex]\frac{36}{100}[/tex]

z² = [tex]\frac{6 * 6}{ 10 *10}[/tex]

z = ± √ ( [tex]\frac{6 * 6}{ 10 *10}[/tex] )

z  = ± [tex]\frac{6}{10}[/tex]

z = ± 0.6

Therefore,

z = + or - 0.6

An internet cafe charges $3.75 to use a computer and $.45 per minute while accesing the internet. What function rule describes this situation?

Answers

Answer:

y = $3.75(x)  + .45$

Step-by-step explanation:

Take the input and subsitute

The hull speed of a boat is approximated by the function

v = 1.34 StartRoot l EndRoot ,

where l is the hull length in feet and v is the hull speed in knots.

Suppose the Santa Monica has a hull length that is 10 ft shorter than that of the Nina Pinta. What expression represents the hull speed of the Santa Monica in terms of the length, ln of the Nina Pinta?

v Subscript s Baseline = a StartRoot b EndRoot

Where a =
and b = ln

What are the restrictions on ln?

ln >

Answers

The hull speed of the Santa Monica in terms of the length, ln of the Nina Pinta is given as a√b where a = 1.34 and b = ln - 10

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that:

v = 1.34√l

where l is the hull length in feet and v is the hull speed in knots.

Santa Monica has a hull length that is 10 ft shorter than that of the Nina Pinta and ln is the length of Nina. Hence:

v = 1.34√(ln - 10) = a√b

The hull speed of the Santa Monica in terms of the length, ln of the Nina Pinta is given as a√b where a = 1.34 and b = ln - 10

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Answer:

What are the restrictions on ln? the answer is 10

Step-by-step explanation:

did it on edge

13 × (11 + 11) - (4 × 17) - 6 = X​

Answers

Answer: 212

Step-by-step explanation:

13 * 22 - 68 - 6 = X

286 - 68 - 6 = X

286 - 74 = X

X = 212

a teacher gets a bag of lollipops for her class. She buys a large bag of 84 lollipop. If she wants each child to have 3 lollipops how many students must be in her class?

Answers

If she buys 84 lollipops and each student wants three the she has 28 students.
84 ➗ 3 = 28
28 x 3 = 60 + 24 = 84

Use long division method to solve & following.
5 on 8

Answers

Answer:

0.625

Step-by-step explanation:

12(5-5)+3x5 evaluate the expression

Answers

Answer:

Using PEMDAS we can see that P or parenthesis is first so we would subtract 5 from 5 in the beginning.  That would result in a 0 which would then get multiplied with 12 to still have 0.

[tex]12(5-5) + 3 * 5[/tex]

[tex]12(0) + 3 * 5[/tex]

[tex]0 + 3 *5[/tex]

Now that we completed that part, the only thing that we have left to do is to multiply the last two numbers, 3 and 5.

[tex]3*5[/tex]

[tex]15[/tex]

Therefore, our final solution is 15.

Hope this helps!


A chemist is using 354 milliliters of a solution of acid and water. If 19.8% of the solution is acid, how many milliliters of
acid are there? Round your answer to the nearest tenth.
milliliters

Answers

354 x 0.198 = 70.092

rounded = 70.1

Circle O has a radius of 5 centimeters and central angleAOB with a measure of 60°.

Answers

The arc length can be found using the formula, ∅ × r, which is: (5π)/3.

What is the Arc Length?

Arc length = ∅ × r, where ∅ is the central angle in radians, and r is the radius of the circle.

Given the following:

∅ = 60° = 60° × π/180 (in radians)r = 5 cm

Length of the arc = 60° × π/180 × 5 = (60 × π × 5)/180

Length of the arc = (300π)/180 = (5π)/3

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HELP PLEASE - 50 POINTS - The ceiling of Stacy's living room is a square that is 30 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 30 ft, but she doesn't know how long it is. Solve for the length of the diagonal of Stacy's ceiling in two ways: (a) Using the Pythagorean Theorem.

Answers

Answer:

The length of the diagonal of Stacy’s ceiling is 30√2 or 42.43

Step-by-step explanation:

a² + b² = c²

30² + 30² = c²

900 + 900 = c²

√1,800 = √c²

30√2 = c

Need help with this question p

Answers

Answer:

4x² + 12x + 9

Step-by-step explanation:

Using identity:

(a +b)² = a² + 2ab + b²

Here, a = 2x  & b = 3

(2x +3 )² = (2x)² +  2*2x*3 + 3²

              = (2x*2x)  + 12x + 3*3

             = 4x² + 12x + 9

what is circumference?​

Answers

The distance/measurement around a circle.

Measurement around the circle

nth term for 300,250,200

Answers

The nth term of the arithmetic sequence 300,250,200 is 350-50n if the common ratio is -50

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have an arithmetic sequence:

300,250,200

The first term a = 300

Common difference d = 250-300 = -50

nth term:

A(n) = a + (n-1)d

A(n) = 300 + (n-1)(-50)

A(n) = 300 -50n + 50

A(n) = 350—50n

Thus, the nth term of the arithmetic sequence 300,250,200 is 350-50n if the common ratio is -50

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please please help! i need to submit in 15 minutes!!!

Answers

Answer:

Step-by-step explanation:

I need the question to answer please :)

Question 9 of 40
Factor this polynomial completely.
6x² + 7x-20
O A. (3x-4)(2x + 5)
OB. (6x- 5)(x+4)
O C. (2x-4)(3x + 5)
OD. (6x-4)(x+5)

Answers

Answer:

6x² + 7x-20

A. (3x-4)(2x + 5)

2.38 Baggage fees: An airline charges the following baggage fees: $25 for the first bag and $30 for the second. Suppose 54% of passengers have no checked luggage, 30% have only one piece of checked luggage and 16% have two pieces. We suppose a negligible portion of people check more than two bags.

Answers

The average baggage-related revenue per passenger is $16.30 per passenger.

Expected value

Expected value formula: x×p(x)

First step

No passenger=0×.54

No passenger=0

Second step

One checked luggage for first bag=.30×$25

One  checked luggage for first bag=$7.50

Third step

Two piece  for the first and second bag=.16×($25+$30)

Two piece  for the first and second bag=.16×$55

Two piece  for the first and second bag=$8.80

Last step

Expected value=$7.50+$8.80

Expected value=$16.30

Therefore the average baggage-related revenue per passenger is $16.30 per passenger.

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QUESTION 1 - 1 POINT
Graph the linear inequality -15x - 6y < 30.
Select the correct answer below:

Answers

Answer + Step-by-step explanation:

the inequality by finding the boundary line, then shading the appropriate area.

y > − 5/2x − 5

(anything in shaded region)

Among black respondents to the 2008 GSS, 167 had no small children at home, and 44 did have small children at home. Among those black respondents who had no small children at home, 62 of them had been to a zoo in the past year. Among those black respondents who did have small children at home, 23 of them had been to a zoo in the past year. Build a crosstab with these results, percentage it, run a chi-square test, and explain your results.

Answers

Answer:

Step-by-step explanation:

20 + 549+ 48574 - 46567476 x 987665 +1 if a apple is a shoo wath is a ñ

Answers

if (20 + 549+ 48574 - 46567476 x 987665) is the calculations of a number of apples, its total value is mathematically given as

X=−4.59930662*10^13

What is the number of apples?

Generally, the equation for the statement is mathematically given as

20 + 549+ 48574 - 46567476 x 987665 +1

Let's equate it to x, Therefore

X= 20 + 549+ 48574 - 46567476 x 987665 +1

Using BODMAS

X= 20 + 549+ 48574 - 4.59930662*10^13 +1

X=49143-4.59930662×10^13

X=−4.59930662×10^13

In conclusion, the number of apples

X=−4.59930662*10^13

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pls help
tomorrow exam that's why

Answers

Answer:

Step-by-step explanation:

a) Four points

        A, T , B , U

b) A ray has a fixed starting point but no end point. It extends infinitely in one direction

      PA  ;  PB  ; QT ; QU

c) A line segment  is a part of a line that is bounded by two distinct end points.

  PQ , PR

d) Parallel lines are two lines in the same plane that are at equal distance from each other and they never intersect.

AP // TQ  and PB // QU

e) Two or more lines which share exactly one common point are called intersecting lines.

AB &  PQ

f) ∠QPB  and ∠BPR


1. Total spending in the US on lotteries in 2017 was about $75 billion. Given a US Population of 325
million of which 23% are under age 18, and the fact that about half of American adults play the
lottery in any given year, about how much does the average American spend on lotteries each
year?

Answers

Based on the statistics, an average American spends $299.7 on lotteries each year

How to determine the amount an American spend on lotteries?

The population is given as:

Population = 325 million

23% are under the age of 18.

This means that this category is not eligible to play lotteries.

The eligible population is:

Eligible = (1 - 23%) * 325 million

Evaluate

Eligible = 250.25 million

The total amount is given as:

Total = $75 billion

So, the amount spent by each is:

Amount = Total/Eligible

This gives

Amount = $75 billion/250.25 million

Evaluate

Amount = $299.7

Hence, an average American spends $299.7 on lotteries each year

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what’s 826,125 to the nearest ten thousand ?

Answers

Answer:

830000.

Step-by-step explanation:

Given number is 825125

The number at the thousands place is 5 which is equal or above 5. So, round up the value.

rounded value of 825125 is 830000.

Therefore, 825125 rounded to the nearest Ten Thousands is 830000.

Answer:

830,000

Step-by-step explanation:

bbbvxxbbbdhdhdvdvshdbsbskzi99999999

Cos (pi/5) + cos (2pi/5)+ Cos (3pi/5)
+ Cos (4pi/5)

Answers

Answer:

0

Keys:

When going over functions like this, we must use these cosine rules:

[tex]\cos \left(s\right)+\cos \left(t\right)=2\cos \left(\frac{s+t}{2}\right)\cos \left(\frac{s-t}{2}\right)[/tex][tex]\cos \left(-x\right)=\cos \left(x\right)[/tex][tex]\cos \left(\frac{\pi }{2}\right)=0[/tex]

Step-by-step explanation:

[tex]=\cos \left(\frac{\pi }{5}\right)+2\cos \left(\frac{2\cdot \frac{\pi }{5}+3\cdot \frac{\pi }{5}}{2}\right)\cos \left(\frac{2\cdot \frac{\pi }{5}-3\cdot \frac{\pi }{5}}{2}\right)+\cos \left(4\cdot \frac{\pi }{5}\right)\\=\cos \left(\frac{\pi }{5}\right)+2\cos \left(\frac{\pi }{2}\right)\cos \left(-\frac{\pi }{10}\right)+\cos \left(\frac{4\pi }{5}\right)\\=\cos \left(\frac{\pi }{5}\right)+2\cos \left(\frac{\pi }{2}\right)\cos \left(\frac{\pi }{10}\right)+\cos \left(\frac{4\pi }{5}\right)[/tex]

[tex]cos\left(\frac{\pi }{5}\right) = \frac{\sqrt{5} + 1}{4}\\=\frac{\sqrt{5}+1}{4}+2\cdot \:0\cdot \frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}-\frac{1+\sqrt{5}}{4}\\=0[/tex]

0

by using the cosine rule you can find this

A store manager wants to estimate the proportion of customers who spend money in this store. How many customers are required for a random sample to obtain a margin of error of at most 0.075 with 80% confidence?

Answers

The 73 customers who spend money in this store if a MOE of at most 0.075 with 80% confidence.

What is the margin of error(MOE)?

MOE is an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

MOE = z x s/√n

Where ,

Z = the z-score at the confidence interval

s =  the standard deviation

n = the number of samples.

We have p = 0.50 MOE = 0.075

Z = 1.282 at 80% confidence

0.075 = 1.282 x √0.50(1- 0.50)/ n

After solving,

n = (0.5)(0.5)/(0.0585)²

n = 73

Thus, the 73 customers who spend money in this store if a MOE of at most 0.075 with 80% confidence.

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ORDER OF OPERATIONS.
Simplify each expression using the order of operations.

Answers

Answer:

PEMDAS.

1. PARENTHESIS

2. EXPONENTS

3. MULTIPICATION

4. DIVISION

5. ADDITION

6. SUBTRACTION

Follow the steps of BEDMAS:

B = Brackets

E = Exponents

D = Division

M = Multiplication

A = Addition

S = Subtraction

Let's try 1) with these steps.

5 - 6 + 2(3)

We can see there are brackets. When a number is placed near a bracket, it means we need to multiply.

2 x 3 = 6

Let's check our expression.

5 - 6 + 6

We can see that there is addition and subtraction. When we have addition and subtraction together we can solve left to right. The same applies to multiplication and division.

So let's solve the rest of it.

5 - 6 = -1

-1 + 6 = 5

5 is the answer to 1).

Now I hope you can solve the rest accordingly with my help. If you are in a time constraint or genuinely don't feel like doing math, understandable. In that case, simply use any online scientific calculator :)

Good Luck!!!

In the given figure, ΔABC is a right triangle.
What is true about ΔABC?
(file is attached below!)

Answers

Answer:

its an isosceles triangle which means that the sides a and c are the same

so C is the correct answer!!

Step-by-step explanation:

Which of the following linear functions have a y-intercept of 4? Select all that apply.
y = 4
x=4
Ug=2z 8
y=x+4
y=-2 +4

Answers

Answer:

y=4

y=x+4

y=-2+4

Step-by-step explanation:

the trick is to consider x as 0.

f(x) = 3x2²2 = 13
Find f(2)
Enter the number that belongs in the green box.
Simplify completely.

Answers

Answer: 5/13

Step-by-step explanation:

[tex]f(2)=\frac{3(2)^{2}-7}{4(2)^{2}-3}=\boxed{\frac{5}{13}}[/tex]

Providing for doubtful accounts
At the end of the current year, the accounts receivable account has a debit balance of $844,000 and sales for the year total $9,560,000.
a. The allowance account before adjustment has a debit balance of $11,400. Bad debt expense is estimated at 1/4 of 1% of sales.
b. The allowance account before adjustment has a debit balance of $11,400. An aging of the accounts in the customer ledger indicates estimated doubtful accounts of
$36,500.
c. The allowance account before adjustment has a credit balance of $4,700. Bad debt expense is estimated at 1/2 of 1% of sales.
d. The allowance account before adjustment has a credit balance of $4,700. An aging of the accounts in the customer ledger indicates estimated doubtful accounts of
$39,000.
Determine the amount of the adjusting entry to provide for doubtful accounts under each of the assumptions (a through d) listed above.

Answers

Based on the account receivable balance and the adjustments, the adjusting entries for doubtful debt under various assumptions is:

a. $23,900b. $47,900c. $47, 800d. $34,300

What are the entries for doubtful debt?

a. Bad debt is 1/4 of 1% of sales:

= 9,560,000 x 0.25%

= $23,900

b. Debit balance of $11,400:

= Estimated doubtful accounts + Debit balance

= 36,500 + 11,400

= $47,900

c. Credit balance of $4,700 and 1/2 of 1% of sales:

= Sales x 0.50%

= 9,560,000 x 0.50%

= $47,800

d. Credit balance of $4,700 and estimated doubtful of $39,000:

= Estimated doubtful accounts - credit balance

= 39,000 -  4,700

= $34,300

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If g(x) =2x^2-4 and g(x)=10 find .g(-8)​

Answers

Functions are written in terms of variables. The value of the function when x  is -8 is 124

Functions and values

Functions are written in terms of variables. Given the function below;

g(x) = 2x^2 - 4

If the value of x is -8, substiute

g(-8) = 2(-8)^2 -4

g(-8) = 2(64) - 4

g(-8) = 124

Hence the value of the function when x  is -8 is 124

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Which point is located at (3, -1)? A. point A B. point D C. point E D. point F Which of the following statements must be true about parallelogram ABCD? I. Complete the sentences. What type of conditional is each sentence? (8 points)Ex: If I were a bird, Iwould fly over the rainbowIf the weather gets better,If I found a wallet in the street,If I had won the competition,If I have enough time, ......... A group of students measured the lengths of their shoes. The lengths are listed in the table. Use the table to locate the incorrect data in the line plot. A spinning satellite begins to fold two solar panels inward as shown. How does satellite's angular velocity change as the panels fold in completely?A. It remains constant.B. It increases.C. It drops to zero.D. It decreases. 7x Labor costs that are clearly associated with employees who directly convert materials to finished product are called: 1. When conducting this experiment, some procedures call for heating the substance several times and recording the mass after each heating, continuing until the mass values are constant. Explain the purpose of this process and how it might reduce errors. Which resistors in the circuit must have the same amount of charge passing through each second? Help will name brainliest How would you conduct a book club discussion about shirley jackson's "the lottery"? give specific examples of ways to handle reactions to the story. Which of the following is a direct result of deforestation? (4 points)Fewer stormsHabitat lossIncreased oxygen levelsSevere weather increase Select the correct answer. which type of set would be suitable for a television talk show discussing election results? a. hard-wall set b. symbolic set c. replica set d. representational-supportive set e. soft-wall set Five factors that caused the fall of the roman empire include: dishonesty violence decrease in trade natural disasters decrease in value of money war between countries collapse of road system overworked soil and poor crop harvest next question Determine the value of x. : A) B) 4 C) 4 D) 8 If the population of an alien race doubles every two minutes, how long will it take for the population to grow from 1,000 to 32,000 ? x+y=5 3x-y=7 solve this equation The cultural and artisticmovement that focused onportraying life and society as itactually was is known as whichof the following?A. romanticismB. realismC. impressionism Disciplinary action in an ethics hearing can include. The citizens in community wants the City Council to build in their neighborhood because the closest park is a mile away. Decide at which level is responsible for fixing the problem.A. FederalB. LocalC. State