use a sum or difference formula to simplify the expression Sin (x+π)

Answers

Answer 1

Answer:

- sin (x)

Step-by-step explanation:


Related Questions


I need a serious help!

Answers

I hope I can help you:)

Historians have commonly believed that paint used before the year 1500 did not contain copper. However, lab techniques have shown that copper is present in the paint of both the Mona Lisa painted by Leonardo da Vinci (1452-1519), a widely-renowned and timeless piece that is one of the most valuable pieces in the Louvre today, and in that of another painting known as the Sine Nomine, also from the same time period, whose painter is unknown—but not found in the paint of any other Renaissance painting analyzed. This is strong evidence that the Sine Nomine was painted by da Vinci, as well as evidence that the presence of copper in the paint of a recently resurfaced map by Fra Mauro, ostensibly from the year 1450, cannot be used as an argument against the map's authenticity.

The reasoning in the passage is vulnerable to criticism on the grounds that:

A) both the Sine Nomine and the Fra Mauro Map are objects that can be appreciated on their own merits whether or not the precise date of their creation or the identity of the person who made them is known
B) it is unreasonable to suppose that determination of the date and location of an art piece’s painting or drawing can be made solely on the basis of the presence or absence of a single element in the paint used in the document
C) the results of the analysis are interpreted as indicating that the use of copper as an ingredient in fifteenth-century paint both was, and was not, extremely restricted
D) the discovery of copper in the paint of the Fra Mauro Map must have occurred before copper was discovered in the paint of the Sine Nomine and Mona Lisa
E)if the technology that makes it possible to detect copper in paint has only recently become available, it is unlikely that cartographers or artists in the fifteenth century would know whether their paint contained copper or not

Answers

The reasoning in this text is vulnerable to criticism because works such as Sine Nomine and the map can be appreciated on their own (option A).

What is the reasoning behind this text?

The author of this text explains copper has been found in the Mona Lisa painting by Da Vinci that dates back to 1450. This evidence is used to conclude a similar painting known as the Sine Nomine belongs to the same painting and that a similar map belongs to the same period.

What is the problem with this reasoning?

The reasoning fails at considering each artwork is unique and can be appreciated on its own without jumping to conclusions about the period and author of them.

Learn more about reasoning in: https://brainly.com/question/11478756

Jose weighs 12 pounds less than twice what his sister maria weighs. If w respesent maria weight. Which expression shows jose weight

Answers

Answer:

2w-12

Step-by-step explanation:

Jose = 2x(Maria's weight) -12

j = 2w -12

​Out-of-pocket spending in a country for health care increased between 2003 and 2008. The function f(x) = 2573e^0.0359x models average annual expenditures per​ household, in dollars. In this​ model, x represents the​ year, where x = 0 corresponds to 2003 .
​(a) Estimate​ out-of-pocket household spending on health care in 2008 .
​(b) Determine the year when spending reached ​$2783 per household.

Answers

Answer:

(a) The total expenditures per household in the year 2008 were approximately $3,080.

(b) The spending reached $2875 per household in 2006.

Step-by-step explanation:

Note: This question is not complete, and the part c is not another question but the same question as part a. The complete question is therefore provided before answering the question as follows:

Out of-pocket spending in a country for health care increased between 2003 and 2008. The function f(x) = 2574e^(0.0359x) models average annual expenditures per household, in dollars. In this model, x represents the year, where x = 0 corresponds to 2003.

(a) Estimate out-of-pocket household spending on health care in 2008.

(b) Determine the year when spending reached $2875 per household

The explanation to the answer is now given as follows:

(a) Estimate out-of-pocket household spending on health care in 2008.

Given;

f(x) = 2574e^(0.0359x) ........................ (1)

Since x = 0 corresponds to 2003; by counting from 2003 to 2008, it implies that x = 5 corresponds to 2008.

Substituting x = 5 into equation (1) to estimate out-of-pocket household spending on health care in 2008, we have:

f(6) = 2574e^(0.0359 * 5)

f(6) = 2574 * 1.19661890406748

f(6) = 3,080.09705906969

Rounding to the nearest dollar as needed, we have:

f(6) = $3,080

Therefore, the total expenditures per household in the year 2008 were approximately $3,080.

(b) Determine the year when spending reached $2875 per household

This can be determined using equation (1) in part a by equating f(x) to $2875 solve for x as follows:

2875 = 2574e^(0.0359x)

2875 /2574 = e^(0.0359x)

1.11693861693862 = e^(0.0359x)

Taking the natural log of both sides, we have:

ln(1.11693861693862) = ln(e^(0.0359x))

0.110591565075382 = 0.0359x

x = 0.110591565075382 / 0.0359

x = 3.0805449881722

Approximating to a whole number, we have:

x = 3

Since x = 0 corresponds to 2003; by counting from 2003, x = 3 corresponds to 2006.

Therefore, the spending reached $2875 per household in 2006.

Write a proportion for the statement.
$118 per week is proportional to $472 per 4 weeks. The proportion is _____?

Answers

Writing Proportions

A proportion is a mathematical comparison between two ratios.

A ratio is a comparison between two numbers.

For instance, the ratio of apples to bananas in a fruit basket is 1 apple to 2 bananas:

[tex]\dfrac{1\hspace{3}apple}{2\hspace{3}bananas}[/tex]

This is proportional to the ratio of apples to bananas in another fruit basket, which is 2 apples to 4 bananas:

[tex]\dfrac{2\hspace{3}apples}{4\hspace{3}bananas}[/tex]

To write a proportion from this information, we can compare the ratios by makign them equal to each other:

[tex]\dfrac{1\hspace{3}apple}{2\hspace{3}bananas}=\dfrac{2\hspace{3}apples}{4\hspace{3}bananas}[/tex][tex]\dfrac{1}{2}=\dfrac{2}{4}[/tex]

Solving the Question

We're given:

$118 per week$472 per 4 weeksThese are proportional

$118 per week is one ratio:

[tex]\dfrac{118\hspace{3}dollars}{1\hspace{3}week}[/tex]

$472 per 4 weeks is another ratio:

[tex]\dfrac{472\hspace{3}dollars}{4\hspace{3}weeks}[/tex]

Now, set them equal to each other to create a proportion:

[tex]\dfrac{118\hspace{3}dollars}{1\hspace{3}week}=\dfrac{472\hspace{3}dollars}{4\hspace{3}weeks}\\\\\dfrac{118}{1}=\dfrac{472}{4}[/tex]

Answer:

Therefore, the proportion is [tex]\dfrac{118}{1}=\dfrac{472}{4}[/tex].

A workplace gave an “Employee Culture Survey” in which 500 employees rated their agreement with the statement, “I feel respected by those I work for.”The relative frequency of people who strongly agree with the statement is

Answers

Supposing that 400 people agree with this sentiment, the relative frequency is of 0.8.

What is a relative frequency?

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we suppose that out of 500 employees, 400 agree with the sentiment, hence the relative frequency is given by:

p = 400/500 = 0.8.

More can be learned about relative frequencies at https://brainly.com/question/14398287

Estimate the sum of the decimals below by rounding to the nearest whole
number. Enter your answer in the space provided.
3.145
1.824
+ 7.769

Answers

Answer:

12.738

rounded to the nearest hundred is 12.74

When a certain number is divided by 20, the result is same when number is decreased by 361. What is the number?

Answers

Answer:

The number is 380

Step-by-step explanation:

Let the number be 'x'

[tex]\sf \dfrac{x}{20}=x-361\\\\\text{multiply the entire equation by 20}\\\\20*\dfrac{x}{20}=20*(x-361)[/tex]

x  = 20x - 20*361

x = 20x - 7220

Now subtract '02x' from both sides

x - 20x = -7220

  -19x   =-7220

Divide both sides by (-19)

     x = (-7220) ÷ (-19)

    x = 380

Find the decimal expansion for 5/12

Answers

Hmmm I believe it would be 0.4167

Answer:

Answer would be 0.4166666667

Step-by-step explanation:

To measure the height of the Washington Monument, a student 5.5 ft tall measures his shadow to be 4.25 ft. At the same time of day, he measured the shadow of the Washington Monument to be 430 ft
long. Use a calculator to estimate the height of the monument to the nearest foot.
The Washington Monument is approximately ________ft tall?

Answers

Answer:

OK, Well to solve this first,

Set up a ratio:

height of the student/student shadow length = height of the monument/monument shadow length

height of the monument = x

6ft./4.75ft =  x/435ft.

cross multtiply

6 * 435 = 4.75x

2610 = 4.75x

divide by 4.75 to both sides

2610/4.75 = 4.75x/4.75

549.47 = x

There you go Slide Brainliest Please

Step-by-step explanation:

Is triangle ABC congruent to triangle DEC? If so, write an argument to prove you are right.

Answers

Answer:

If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then the triangles are congruent. Using labels: If in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D, then triangle ABC is congruent to triangle DEF  

Step-by-step explanation:

qwe

 

Simplify the expression. Write your answer as a power.
The simplified expression is

Answers

Because the 10+4= 14
therefore
8^14

Classify each of the following lines as parallel, transversal or perpendicular.

Answers

Answer:

5. Perpendicular

6. Parallel

7. Transversal

8. Perpendicular

9. Parallel

10.Transversal

Step-by-step explanation:

9. A home improvement store advertises 60 square feet of flooring for $253.00, plus an additional $80.00 installation fee. What is the cost per square foot for the flooring? A. $4.95 B. $5.25 C. $5.55 D. $6.06​

Answers

Answer:

C 5.55

Step-by-step explanation:

253/60 = 4.21

80/60 = 1.33

4.21 + 1.33 = 5.55

Have an amazing day!!

Please rate and mark brainliest!!

can anyone help with this?

Answers

Answer:

It's a 270 degree rotation or -90 degree rotation there the same thing all the other answer choices are wrong besides 270 degree rotation.

Step-by-step explanation:

Traveling in a fried-out Kombi

On a hippie trail, head full of zombie

I met a strange lady, she made me nervous

She took me in and gave me breakfast

And she said

Do you come from a land down under?

Where women glow and men plunder?

Can't you hear, can't you hear the thunder?

You better run, you better take cover

Buying bread from a man in Brussels

He was six-foot-four and full of muscle

I said, "Do you speak-a my language?"

He just smiled and gave me a Vegemite sandwich

And he said

I come from a land down under

Where beer does flow and men chunder

Can't you hear, can't you hear the thunder?

You better run, you better take cover, yeah

Lyin' in a den in Bombay

With a slack jaw, and not much to say

I said to the man, "Are you trying to tempt me

Because I come from the land of plenty?"

And he said

Oh, you come from a land down under? (Ooh, yeah, yeah)

Where women glow and men plunder?

Can't you hear, can't you hear the thunder?

You better run, you better take cover ('cause we are)

Living in a land down under

Where women glow and men plunder

(Can't you hear thunder) can't you hear, can't you hear the thunder?

You better run, you better take cover

Living in a land down under

Where women glow and men plunder

Can't you hear, can't you hear the thunder? (Ooh yeah)

Better run, you better take cover (we are)

Living in a land down under (ooh yeah)

Where women glow and men plunder

Can't you, can't you hear the thunder?

Better run, you better take cover

Living in a land down under (living in a land down under)

Where women glow and men plunder

Can't you, can't you hear the thunder?

Toni is 30 inches less than twice Jordan's height. Toni is 66 inches tall. How tall is Jordan?

Answers

Answer:

96 inches

Step-by-step explanation:

66 + 30 = 96

Select the correct answer.
What are the roots of this quadratic equation?

help

Answers

Answer:

A

Step-by-step explanation:

I took the test it was right

Pls help asap, have a great day

find, w: x: y: z:

Answers

Answer:

See below ↓

Step-by-step explanation:

Finding w and x [both are equal]

Take the cos function of one of the 45° angles, which is the ratio of the adjacent side to the hypotenusecos(45°) = [tex]\frac{1}{\sqrt{2} } = \frac{w}{6}[/tex]⇒ w = [tex]\frac{6}{\sqrt{2} } = \frac{6}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} } = \frac{6\sqrt{2} }{2}[/tex]⇒ w = 3√2 and x = 3√2

Finding y

Take the cos ratio of the 60° angle to find ycos(60°) = [tex]\frac{1}{2} = \frac{y}{x} = \frac{y}{3\sqrt{2} }[/tex]⇒ y = [tex]\frac{3\sqrt{2} }{2}[/tex]

Finding z

Take the sin ratio of 60° angle of the triangle, which is the ratio of the opposite side to the hypotenusesin(60°) = [tex]\frac{\sqrt{3} }{2}= \frac{z}{x} = \frac{z}{3\sqrt{2} }[/tex]⇒ z = [tex]\frac{3\sqrt{6} }{2}[/tex]

I WILL GIVE BRAINLY
Rectangle ABCD is plotted on a coordinate plane. The coordinates of A are (2, 3) and the coordinates of B are (– 2, 3). Each unit on the coordinate plane represents 3 centimeters, and the perimeter of Rectangle ABCD is 48 centimeters. Find the coordinates of Points C and D given these conditions:aPoints C and D are below Points A and B.bPoints C and D are above Points A and B.7Rectangle PQRS is plotted on a coordinate plane.

Answers

mark as brainliest please :)

Allowing 20% discount on the marked price if a watch, the value of the watch will be Rs. 2376. If the VAT of 10% is added, find its marked price.

Ans: Rs. 2700​

Answers

original price be x

x-0.2x=23760.8x=2376x=2970

VAT 10%

So new price is 10% less

2970-0.10(2970)2970-297Rs 2673≈2700

13. Use the graph of a piecewise function with three equations. 25,000 $21,197 20,000 15,000 Tax 10,000 $5.448 -5,000 $1,045. 0 80,000 20,000 $10,450 40,000 60,000 $39,800 Taxable Income 100,000 S102,800 a. A taxpayer has a taxable income of $39,800. What is her tax? b. A taxpayer will owe $21,197. What is his taxable income?​

Answers

Answer:

A. $5,448

B. $102,800

If you need the rest of the parts:

C. $4,500

D. $20,500

E. $68,000

The income tax of $5,448.

The taxable income is $102,800

What is Income Tax?

The tax that is imposed on all people and corporations is called income tax. The amount of individual income taxes is determined by the individual's income. Because the burden is assumed to fall on the payers, it is typically characterised as a direct tax. Corporate income tax is charged on net profits, which are determined as the difference between allowable costs and receipts.

From the graph,

it can be observed that the taxpayer who has the taxable income of $39,800 has to pay income tax of $5,448.

Also, a taxpayer owing $21,197 means that he has to pay income tax of $21,197.

His taxable income is $102,800 as shown in the graph below.

Learn more about Income tax here:

brainly.com/question/30157668

#SPJ2

The sum of squares of lengths of the two sides of a rectangular field is 25m2.Their difference is 1m .what is the length of each side of the field

Answers

Answer:

Perimeter of a rectangle = 2×(Length+Breadth)

(i) Length = 16.8 cm

Breadth = 6.2 cm

Perimeter = 2×(Length+Breadth)

= 2×(16.8+6.2) =46 cm

(ii) Length = 2 m 25 cm

=(200+25) cm (1 m = 100 cm )

= 225 cm

Breadth =1 m 50 cm

= (100+50) cm (1 m = 100 cm )

= 150 cm

Perimeter = 2×(Length+Breadth)

= 2×(225+150) =750 cm

(iii) Length = 8 m 5 dm

= (80+5) dm (1 m = 10 dm )

= 85 dm

Breadth = 6 m 8 dm

= (60+8) dm (1 m = 10 dm )

= 68 dm

Perimeter = 2×(Length+Breadth)

= 2×(85+68) =306

|x+3/4|= 5 6/7 please help with this question from 6.2 russian mathemetics school

Answers

Answer:

143/28 or -185/28

Step-by-step explanation:

Negative case

-(x+3/4))=(41/7)

-x-(3/4)=(41/7)

-x=(185/28)

x=-(185/28)

Positive case

(x+(3/4))=(41/7)

x=(143/28)

lol this was easy r u sure its 6 grade?

Answer:

143/28 or -185/28

help me please



I couldn't solve it​

Answers

[tex]\text{L.H.S}\\\\=\dfrac{\sin^4 A - \cos^4 A}{ \sin A + \cos A}\\\\\\=\dfrac{(\sin^2 A)^2-(\cos^2 A)^2}{\sin A + \cos A}\\\\\\=\dfrac{(\sin^2 A + \cos^2 A)(\sin^2 A-\cos^2 A)}{\sin A + \cos A}\\\\\\=\dfrac{1\cdot(\sin A+\cos A)(\sin A - \cos A)}{\sin A +\cos A}\\\\\\=\sin A - \cos A\\\\\\=\text{R.H.S}~~~ \\\\\text{Proved.}[/tex]

Answer:

heya! ^^

[tex] \\ \frac{ \sin {}^{4} (A) - \cos {}^{4} (A) }{ (\sin \: A + \cos \: A) } = ( \: sin \: A\: - \: cos \: A \: )\\[/tex]

[tex] \\LHS = \frac{ \sin {}^{4} (A) - \cos {}^{4} (A) }{ (\sin \: A + \cos \: A) } \\ \\ \frac{( \sin {}^{2} \: A + \cos {}^{2} \: A)( \sin {}^{2} A - \cos {}^{2} A) }{ (\sin \: A + \cos \: A) } \\ \\ we \: know \: that \: - \: sin {}^{2} A + cos {}^{2} A = 1 \\ \\ \therefore \: \frac{(1)(\sin {}^{2} \: A - \cos {}^{2} \: A)}{(\sin \: A + \cos \: A)} [/tex]

now , we're well aware of the algebraic identity -

[tex]a {}^{2} - b {}^{2} = (a + b)(a - b)[/tex]

using the identity in the equation above ,

[tex]\dashrightarrow \: \frac{(sin \:A - \: cos \: A)\cancel{(sin \:A + \: cos \: A )}}{\cancel{(sin \: A\: + \: cos \: A)}} \\ \\ \dashrightarrow \: (sin \: A \: - \: cos \: A) = RHS[/tex]

hence , proved ~

hope helpful :D

Find the simple Intrest for
​$ 2000 at 4​% for 3 months

Answers

Answer:

Simple interest: 240, Final amount: 2240

hope im right

Step-by-step explanation:

Stacy is making a scale model of the Eiffel Tower for French class. Her model is 500 times smaller than the actual tower, which is 300 meters tall. How many millimeters tall is Stacy's model?

Answers

Answer: 600 mm

Step-by-step explanation:

Let height of her model be x meters

So,

500x = 300

[tex]\begin{aligned}&\rightarrow x=\frac{300}{500} \\&\rightarrow x=\frac{3}{5}=0.6 \text { meters } \\&\rightarrow x=0.6 \times 1000 \text { millimeters } \\&\rightarrow x=600 \text { millimeters }\end{aligned}[/tex]

Therefore, Stacy's model is 600 millimeters tall

Round your answer to the nearest hundredth.

Answers

Answer:

67.98°

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

On August 31, 2021, Cullumber Company had a cash balance per its books of $26,420. The bank statement on that date showed a balance of $16,780. A comparison of the bank statement with the Cash account revealed the following.

1.The August 31 deposit of $17,220 was not included on the August bank statement.
2.The bank statement shows that Cullumber received EFT deposits from customers on account totalling $2,050 in August. Cullumber has not recorded any of these amounts.
3.Cheque #673 for $1,230 was outstanding on July 31. It did not clear the bank account in August. All of the cheques written in August have cleared the bank by August 31, except for cheque #710 for $2,330, and #712 for $2,220.
4.The bank statement showed on August 29 an NSF charge of $187 for a cheque issued by R. Dubai, a customer, in payment of their account. This amount included an $10 service charge by Cullumber’s bank. The company’s policy is to pass on all NSF service charges to the customer.
5.Bank service charges of $27 were included on the August statement.
6.The bank recorded cheque #705 for $137 as $173. The cheque had been issued to pay for freight out on a sale. Cullumber had correctly recorded the cheque.

Prepare a bank reconciliation at August 31

Prepare the necessary adjusting entries on August 31.

Answers

a) The preparation of the bank reconciliation statement on August 31 for Cullumber Company is as follows:

Bank Reconciliation Statement

Balance as per bank statement            $16,780

Add uncredited deposits of 17,220

       Check #705 overstated                         36

Less uncashed checks                            (5,780)

Adjusted bank statement balance of $28,256

b) The preparation of the necessary adjusting entries on August 31 is as follows:

Debit Cash $2,050

Credit Accounts Receivable (EFT deposits) $2,050

Debit Accounts Receivable (R. Dubai) $197

Credit NSF charges $187

Credit Service charges $10

Debit Bank service charges $27

Credit Cash $27

What is bank reconciliation?

Bank reconciliation is the comparison of an entity's records with those of its bank, to uncover any differences between these two sets of records of bank transactions.

Bank reconciliation is carried out by the preparation of a bank reconciliation statement, which outlines the deposits, withdrawals, and other activities affecting a bank account for a specific period.

Data and Calculations:

Cash balance per books on August 31, 2021 = $26,420

Bank statement balance = $16,780

Analysis of Discrepancies:

1. Uncredited deposit = $17,220

2. EFT deposits = $2,050

3. Outstanding checks:
Check #673 = $1,230

Check #710 = $2,330

Check #712 = $2,220

Total outstanding checks = $5,780 ($1,230 + $2,330 + $2,220)

4. NSF charge = $187

Service charge = $10

5. Bank service charges = $27

6. Check #705 overstated = $36 ($173 - $137)

Adjusted Cash Account:

Balance as per Cash Book        $26,420

EFT deposits                                $2,050

Less:

NSF charge                 187

Bank service charges 27                (214)

Adjusted cash book balance $28,256

Learn more about bank reconciliation statements at https://brainly.com/question/15525383

The basketball team has four players who can play the center position. Their heights (in
inches) are 78, 80, 77, and 80.
a) List all 6 possible SRSs of size n = 2, calculate the mean height for each sample.
b) Display the sampling distribution of the sample mean on a dotplot.
c) If the sample size was increased to n = 3, what would happen to the sampling distribution?

(statistics)

Answers

The mean height for each sample from the basketball team will be 79, 77.5, 79, 78.5, 80, and 78.5

How to calculate mean?

For sample 1, the mean will be:

= (78 + 80)/2 = 79.

For sample 2, the mean will be:

= (78 + 77)/2 = 77.5

For sample 3, the mean will be:

= (78 + 80)/2 = 79

For sample 4, the mean will be:

= (80 + 77)/2 = 78.5

For sample 5, the mean will be:

= (80 + 80)/2 = 80

For sample 6, the mean will be:

= (77 + 80)/2 = 78.5

When the sample size was increased to n = 3, the shape of the sampling distribution becomes bell shaped on the population mean.

Learn more about the mean on:

https://brainly.com/question/1136789

3. Evaluate the following:
a.) What value of Syields the coordinate point (1, 3)?
b.) What value of Syields the coordinate point (3, 1)?
c.) x(710)=
d.) y(V10+ V5)= = B С
e.) x(2)=
f.) y(2.5)= ​

Answers

Answer: See below

Step-by-step explanation:

Question 3:

[tex]a) \ $S=1$ \ yields \ $(1,3)$ \\ \\b) \ $S=3$ \ yields \ $(3,1)$ \\ \\ c) \ $x(\sqrt{10})=\sqrt{10}$ \\ \\d) $y(\sqrt{10}+\sqrt{5})=1$ \\ \\e) $x(2)=2$ \\ \\f) $y(2,5)=1$ \\[/tex]

Challenge:

[tex]\begin{aligned}&x(s)=s \quad ,s \in[0,4] \\&y(s)=\left\{\begin{array}{cc}3 s & , s \in[0,1] \\5-2 s &, s \in[1,2] \\1 & s \in[2,4]\end{array}\right.\end{aligned}[/tex]

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