Which step contains an error?
A.) Step 2
B.) Step 4
C.) Step 6
D.) Step 8

Which Step Contains An Error?A.) Step 2B.) Step 4C.) Step 6D.) Step 8

Answers

Answer 1
It’s step 6. They said 1+cos(theta) it’s supposed to be 1-cos(theta)
Answer 2

Step 6 contains an error. Option C is correct

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

The incorrect step is;

\(\rm 1 + cos \theta = 2 sin^2\frac{\theta}{2}\)

The correct step is;

\(\rm 1 - cos \theta = 2 sin^2\frac{\theta}{2}\)

Because when you multiply the whole equation the cosΘ will be negative and in the given solution it is positive. Step 6 contains an error.

Hence, option C is correct

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Related Questions

Find the value of the sine cosine and tangent for angle A

Find the value of the sine cosine and tangent for angle A

Answers

A)  sin A = 2√13 / 13

cos A = 3√13 / 13

tan A = 2/3

Carolyn has 20 biscuits in a tin.
She has
12 plain biscuits
5 chocolate biscuits
3 ginger biscuits
Carolyn takes at random two biscuits from the tin.
Work out the probability that the two biscuits were not the same type.

4 Marks​

Answers

Answer:

Approximately 58.4%

Step-by-step explanation:

The probability that they are different is the opposite of the probability that they are the same.

The probability that they are the same is:

P(plain, plain) = (12/20) (11/19) = 132 / 380

P(chocolate, chocolate) = (5/20) (4/19) = 20 / 380

P(currant, currant) = (3/20) (2/19) = 6 / 380

P(same) = 132/380 + 20/380 + 6/380

P(same) = 158/380

P(same) = 79/190

Therefore, the probability that they are different is:

P(different) = 1 − 79/

\(\frac{111}{190}\)  is the  probability that the two biscuits were of not the same type.

What is Probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

According to question, Carolyn has 20 biscuits in a tin.

She has 12 plain biscuits, 5 chocolate biscuits and 3 ginger biscuits

Carolyn takes at random two biscuits from the tin.

We have to find out  the probability that the two biscuits were of  not the same type.

             P(plain biscuit, plain biscuit)  \(=(\frac{12}{20} )(\frac{11}{19} )=\frac{132}{380}\)

P(chocolate biscuit, chocolate biscuit)\(=(\frac{5}{20})(\frac{4}{19} )=\frac{20}{380}\)

          P(ginger biscuit, ginger biscuit)\(=(\frac{3}{20}) (\frac{2}{19})=\frac{6}{380}\)

Probability of same type of biscuits

\(=\frac{132}{380} +\frac{20}{380}+\frac{6}{380}\)

\(=\frac{79}{190}\)

The probability that the two biscuits were not of the same type.

\(=1-\frac{79}{190}\)

\(=\frac{111}{190}\)

Hence, we can conclude that \(\frac{111}{190}\)  is the  probability that the two biscuits were not of the same type.

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What is the perimeter of the parallelogram? 12 cm 6 cm 5 cm 7 cm

Answers

We dont know this
You need to have only 2
For ex: 4 cm and 7 cm
So, P=2• (a•b)
2•(4•7)
P=56cm

Answer:

12

Step-by-step explanation:

name something in your everyday life or something that you watch for entertainment (Like sports...) that involves understanding proportional relationships

Answers

Answer:

One thing that I watch almost everyday that can help me understand proportional relationships is ads after I've watched an important event of the show. For example, I've just watched a good episode of {Show Name} and an ad about Shoprite appears. A graph, with a red line shows you how many people prefer to go to their shop than Walmart. They put their numbers in bigger numbers, making it seem that a lot of people go there compared to Walmart, so it must be good. This involves understanding proportional relationships because it shows how many people show up to Shoprite in {number of weeks}. So, the more weeks that Shoprite shows their ad, that more people come in that week.

Step-by-step explanation:

You have to think about x and y axis, and compare it to real life situations. For example, You're pouring gas into your car. The x axis is how many gallons of gas you poured in and the y is how much money you spent. The more you pour in gallons of gas, the more money you spend.

So, now all you have to do it compare it to something you do everyday.

Please don't copy this, we are in the same class. :(

someone come look at this I don't understand

someone come look at this I don't understand

Answers

Answer:

Step-by-step explanation:

is an obtuse

someone come look at this I don't understand

Answer: Obtuse angle

Step-by-step explanation:

Obtuse is an angle that is more than 90º. A obtuse angle is 180º
Right angle that's ONLY 90º.
Acute angle is less than 90º.

Please answer these thank u​

Please answer these thank u

Answers

1. 3*3 + 3*8 = 9+24=33

2. 4*4+.5*2*4+5*5= 16+4+25=45

3. 5*10+4*10= 90

4. 24+.5*4*4 = 32

Please help asap! This is due soon and i don’t know what I’m doing

Please help asap! This is due soon and i dont know what Im doing

Answers

Answer: B

Step-by-step explanation:

What you are actually paying is 100%-20% = 80%

So it's 80% of the price =

.8p

Write 1.27x 10^-3 as an ordinary number

Answers

Answer:

0.00127

................

Answer:

the answer is 27/1000. I think

Step-by-step explanation:

i need help with this and if you can give me work to show cuz i need to show my work but i can’t if i don’t know how to do it

i need help with this and if you can give me work to show cuz i need to show my work but i cant if i

Answers

Answer:

x = 9

Step-by-step explanation:

i need help with this and if you can give me work to show cuz i need to show my work but i cant if i

Looking for an answer to this: Every non zero number can be used twice, between two same non zero numbers is as many zeros as how large is the non zero number example is 40001041 and 300103100. How many 7 digit numbers are there that have two 1s and two 2s and not defined number 0s?
Thank you for any responses.​

Answers

Answer:

50000

Step-by-step explanation:78473294724829384739284732984739824

5

A system of equations is shown.

y = 2x – 7

y = -x + 5

What is the solution to the system of equations?

5A system of equations is shown.y = 2x 7y = -x + 5What is the solution to the system of equations?

Answers

Answer:

x = 4

Step-by-step explanation:

Eliminate y by setting the first equation equal to the second:

2x - 7 = -x + 5

Combining like terms, we get:

3x = 12, so that x must be 4.

Need help asap will give brainly

Need help asap will give brainly

Answers

Answer:

d is the answer

Step-by-step explanation:

have a great day :D

Answer:

D is the answer

Step-by-step explanation:

180-(65+50)=

 65+50=115

 180-115=65

       

The least preferable and reliable method of selecting people to participate in a research study is:_____.

Answers

The least preferable and reliable method of selecting people to participate in a research study is convenience sampling.

Convenience sampling is a type of sampling in which you include people who are easy to reach. Convenience sampling is included in non-probability sampling because it doesn't include a random selection of the participants. Convenience sampling can be used when you need to conduct a study quickly or when you are on a shoestring budget as it is inexpensive compared to other methods of sampling.

It is the least preferable method because of the inability to generalize the result of the survey to the population as a whole. In addition to this, there is a possibility of under or over-representation of the population as a whole. The biggest problem with convenience sampling is dependence as the sample items are connected to each another in some way. This dependency interferes with statistical analysis.

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need help please its a missing assignment and i need to turn it in at midnight

need help please its a missing assignment and i need to turn it in at midnight

Answers

C=pi*d

Where pi is 3.14 and d is the diameter, in this case is 14ft. Find the circumference

\(\begin{gathered} C=\pi\cdot d \\ C=3.14\cdot14ft \\ C=43.96ft \end{gathered}\)

I'm confused how to use statistical questions for the first one I have is what is your favorite food for the second one is what is your favorite color of the sixth grade students at your school and then number 3 is what is the height of the Empire State Building and I'm confused on that

Answers

Answer:

1. No

2. Yes

3. No

Explanation:

Statistical questions are questions that require statistical data to solve.

It will require collecting data from various samples and analyzing.

From the given options, let us identify the statistical and non-statistical questions.

1. what is your favorite food?

This is not a statistical question because it does need collecting any data it is a personal question and Non-statistical.

2. what is your favorite color of the sixth-grade students at your school?

This is a statistical question because it would involve collecting data samples from various sixth-grade students at your school and analyzing such data. So, it is a Statistical question.

3. what is the height of the Empire State Building?

There is only one empire state building, therefore it is a direct question that has a specific answer and does not require statistical data to solve. So, it is not a statistical question.

Write an equation in point-slope form of the line that passes through the point (1, 0) with slope -1/4

Answers

Answer:

y = -1/4(x-1)

Step-by-step explanation:

y - \(y_{1}\) = m(x - \(x_{1}\))  From the point given \(y_{1}\) = 0 and \(x_{1}\) = 1

m = slope -1/4  Plug these in and get

y - 0 = -1/4(x - 1)       y-0 is just y

help please i dont get this

help please i dont get this

Answers

Answer:

1. Not similar

2. Similar, ABC is similar to FED by SSS

Step-by-step explanation:

1. Not similar.

The interior angles of a triangle always have to add up to 180, and since the first triangle has angles 30 degrees and 90 degrees, you know the third angle will have to be 180 - 30 - 90 = 60 degrees.

The second triangle's third angle will have to be 50 degrees because 180 - 90 - 40 = 50 degrees.

Since the three angles of the triangle are not the same, they are not similar.

2. Similar, ABC is similar to FED by the SSS triangle similarity postulate.

First, AB is similar to FE because AB = 15 and FE = 5, so the scale factor is 3

Next, BC is similar to ED because BC = 9 and ED = 3, so the scale factor for these sides is also 3

Lastly, CA is similar to DF because CA = 12 and DF = 4, so the scal factor for this is also 3.

Since the scale factor for all of the sides is 3, these two triangles are similar.

Not similar. The interior triangles always have to add up to 180

answer the screenshot correctly and get 5 points and brainliest:)

answer the screenshot correctly and get 5 points and brainliest:)

Answers

Answer:

There is an EXPERT TUTOR in here you can tell him he knows everything's and that WXPERT TUTOR helps us a lot.

Max rode his bike 40 miles in hours.

Answers

Answer:

I don't know what you want to know so I assume you want to find out his miles in minutes:

Divide 40 with 60

Which is 2/3

So Max rode 2/3 miles in a minute

Step-by-step explanation:

Answer:

4 hours if going ten mph and 2 hours if going 20 mph

Which of these triangle pairs can be mapped to each other using a single translation?

Answers

Answer:

Im 90% sure its D the last one

Step-by-step explanation:

Comment whether if it was correct on edge

Answer:

katie stop deleting my answers!!!

Like i said it's D.

Step-by-step explanation:

Which of these triangle pairs can be mapped to each other using a single translation?

A salt mixture hss 7 parts water and 1 part salt. Suppose another part of salt is added. What is the new ratio of salt to water?
A) 7 to 1
B) 1 to 7
C) 2 to 7
D) 2 to 8 ​

Answers

Answer:a

Step-by-step explanation:

Answer:

C) 2 to 7

Step-by-step explanation:

1 part salt:7 parts water

Add 1 part salt

2 part salt: 7 Parts water

algebraic proofs

given: 12x + 4 (x-1) = 60

prove x=4

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[see below]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

\(12x + 4(x-1)=60\\\\\rightarrow 12x + 4x - 4 = 60 \\\\\rightarrow 16x - 4 = 60\\\\\rightarrow 16x = 64\\\\\rightarrow \frac{16x=64}{16}\\\\\rightarrow \boxed{x = 4}\)

⸻⸻⸻⸻

Given.Distributive property - 4 is distributive into the parentheses. Simplify - 12x and 4x are combined. Addition property of equality - "-4" is added to both sides.Division property -  "16" is divided on both sides to get 'x = 4'.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

who wants some points??
is it bad if I've never seen or read Harry Potter... and Star Wars?? lol

Answers

Answer:

kinda lol

Step-by-step explanation:

Answer: i have watched harry potter but never read the book. and for star wars i have never read or watched it so your good <3

Step-by-step explanation:

Rickey bought a 35 pound bag of dog food . His dog eats an average of 3.5 pounds a day . How many pounds will remain in the bag after 8 days

Rickey bought a 35 pound bag of dog food . His dog eats an average of 3.5 pounds a day . How many pounds

Answers

Answer:

7 pounds

Step-by-step explanation:

3.5×8=28 pounds

35-28=7 pounds

so 7 pounds will b left

All of the following are measures of central tendency except the ________.
Select one:
A. None of the answers are correct
B. mode
C. range
D. mean
E. median

Answers

All of the following are measures of central tendency except the range.

The range is a measure of dispersion, representing the difference between the largest and smallest values in a dataset. It provides information about the spread or variability of the data but does not provide information about the central tendency.

On the other hand, measures of central tendency are statistical measures that aim to summarize the center or typical value of a dataset. They include the mode, median, and mean.

The mode represents the most frequently occurring value(s) in the dataset.

The median is the middle value when the data is arranged in ascending or descending order. It divides the dataset into two equal halves.

The mean is the arithmetic average of all the values in the dataset. It is calculated by summing all the values and dividing by the total number of values.

Therefore, option C, range, is not a measure of central tendency as it focuses on the spread or dispersion of the data rather than summarizing the central or typical value.

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Emilio and friends are in a submarine 500 feet below sea level. They continue to dive 35 feet each hour for 7 hours.

What is Emilio and friend’s current position, in feet, COMPARED TO SEA LEVEL after 7 hours?

Answers

You would write the equation out as x=35x+500

You substitute x for 7 so it’s x= 35(7)+500

So the answer will be 745 dollars

Which graph below does not represent a function of x? A B 5432 1 0 1 2 3 4 5 S43N 5 y 2 -5 -4 -3 -2 -1 0 -1 -2 24EN -4 -5 1 2 3 4 5 C D 5 3 2 0 1 2 3 4 5 5 737 7 4 2 1 -5-4-3 -2 -10 -1 N345 -2 -4 -5 DU 1 2 3 4 5​

Answers

The graph that represents the compound inequality –3 < n < 1 is option C.

What is inequality?

The two sides of a mathematical equation having an inequality must be equal. We compare two values via inequality rather than equations. The equal sign is replaced by the signs less than (or less than or equal to), greater than (or greater than or equal to), or not equal to.

The straight line from -3 to 1 with a hollow circle at the -3 point and the 1 point serves as the graph for the compound inequality -3 n 1. This is because n can only have values larger than -3, excluding -3, and less than -1, excluding -1, according to the symbol.

Therefore, the graph that represents the compound inequality –3 < n < 1 is option C.

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Which graph below does not represent a function of x? A B 5432 1 0 1 2 3 4 5 S43N 5 y 2 -5 -4 -3 -2 -1

*ANSWER FAST* x-1/x-2 + x-3/x-4 = 3 1/3 [x≠2 , x≠4] find

Answers

Answer:

x = 5, x = \(\frac{5}{2}\)

Step-by-step explanation:

Given

\(\frac{x-1}{x-2}\) + \(\frac{x-3}{x-4}\) = 3 \(\frac{1}{3}\)

\(\frac{(x-1)(x-4)+(x-3)(x-2)}{(x-2)(x-4)}\) = \(\frac{10}{3}\)

\(\frac{x^2-5x+4+x^2-5x+6}{x^2-6x+8}\) = \(\frac{10}{3}\)

\(\frac{2x^2-10x+10}{x^2-6x+8}\) = \(\frac{10}{3}\)  ( cross- multiply )

10(x² - 6x + 8) = 3(2x² - 10x + 10) ← distribute both sides

10x² - 60x + 80 = 6x² - 30x + 30 ← subtract 6x² - 30x + 30 from both sides

4x² - 30x + 50 = 0 ( divide through by 2 )

2x² - 15x + 25 = 0 ← in standard form

(2x - 5)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = \(\frac{5}{2}\)

x - 5 = 0 ⇒ x = 5

Answer:

Step-by-step explanation:

x-1/x-2+x-3/x-4=31/3

3(x²-4x-x+4)+3(x²-2x-3x+6)=31(x²-4x-2x+8)

3(x²-5x+4)+3(x²-5x+6)=31(x²-6x+8)

3x²-15x+12+3x²-15x+18=31x²-186x+248

3x²+3x²-31x²-15x-15x+186x+12+18-248=0

-25x²+156x-218=0

-(25x²-156+218)=0

By using quadratic equation

x=

the exam scores (out of 100 points) for all students taking an introductory statistics course are used to construct the following boxplot. about 75% of the students scores exceeded group of answer choices 25. 60. 50. 85.

Answers

The exam scores (out of 100 points) for all students taking an introductory statistics course are used to construct the following boxplot. 50 or 25 Student's scores 75% above.

The box represents the middle 50% of the data, with the lower edge of the box corresponding to the 25th percentile and the upper edge of the box corresponding to the 75th percentile.

The line inside the box represents the median, which is the value that separates the lower 50% of the data from the upper 50% of the data.

The whiskers extend from the edges of the box to the smallest and largest observations within 1.5 times the interquartile range (IQR) of the box. Any observations outside the whiskers are considered outliers.

From the given information, we know that about 75% of the students scored above the 25th percentile. This means that the lower edge of the box represents the 25th percentile, so we can estimate that the 25th percentile score is somewhere around 50.

Since the upper edge of the box represents the 75th percentile and the whisker extends to a maximum value of around 85, we can estimate that the 75th percentile score is somewhere between 75 and 85.

Similarly, since the lower edge of the box represents the 25th percentile and the whisker extends to a minimum value of around 25, we can estimate that the 10th percentile score is somewhere between 25 and 50.

Based on these estimates, we can eliminate the answer choice of 60, since it is not consistent with the estimated percentiles. We can also eliminate the answer choice of 25 since we know that about 75% of the students scored higher than this value. This leaves us with the answer choices of 50 and 85. Since we only have rough estimates of the percentiles, either of these answers could be correct.

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help pls what are the number of hours i need this before 11/20/22

help pls what are the number of hours i need this before 11/20/22
help pls what are the number of hours i need this before 11/20/22

Answers

a. Creating a system of equations, the length of each plan A's workout is 3/4 hour, while the length of each plan B's workout is 3/4 hour.

b. x = -8, y = 2.

How to Solve a System of Equations?

Write equations of a system that represents the information given and solve accordingly.

Let the length of plan A = x

Length of plan B = y

Equation for Monday would be:

9x + 7y = 12 --> eqn. 1

Equation for Tuesday:

3x + 5y = 6 --> eqn. 2

Multiply eqn. 1 by 3 and eqn. 2 by 9

27x + 21y = 36 --> eqn. 3

27x + 45y = 54 --> eqn. 4

Subtract the equations:

-24y = -18

y = -18/-24

y = 3/4

Plan B's length of workout is: 3/4 hour.

Substitute y = 3/4 into equation 2:

3x + 5(3/4) = 6

3x + 15/4 = 6

3x = 6 - 15/4

3x = 9/4

12x = 9

x = 9/12

x = 3/4

Length of plan A's workout is: 3/4 hour.

b. 2x + 4y = -8 --> eqn. 1

-2x + 3y = 22 --> eqn. 2

Add both equations together:

7y = 14

y = 2

Substitute y = 2 into equation 1:

2x + 4(2) = -8

2x + 8 = -8

2x = -8 - 8

2x = -16

x = -16/2

x = -8

The solution is: x = -8, y = 2.

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