Find COS Instructions: Find the value of the trigonometric ratio. Make sure to simplify the If needed

Find COS Instructions: Find The Value Of The Trigonometric Ratio. Make Sure To Simplify The If Needed

Answers

Answer 1

Answer:

Sin A = 15 / 17

Step-by-step explanation:

Given a right angled triangle, we are to obtain the Sin of the angle A ;

Using trigonometry, the sin of the angle A, Sin A is the ratio of the angle opposite A to the hypotenus of the right angle triangle.

Hence. Sin A = opposite / hypotenus

Opposite = 15 ; hypotenus = 17

Sin A = 15 / 17


Related Questions

there are 10 crates of eggs stacked in the corner. each crate of eggs holds 20 eggs. If there is only 1 broken egg in the entire stack of crates, what percent of the crates have broken eggs in them?

Answers

Answer: 5%

Step-by-step explanation: If there is one broken egg in each crate (1/20), you would change that to5%

And if there are ten crates, then you see how many eggs there a re total.

(10 × 20 = 200)

If there are 200 eggs and for every 20 eggs there is on broken one, then there will be 10 broken eggs total. or 10/200

convert the fraction to a decimal ( 10 ÷ 200 = .05)

then convert the decimal to a percent. .05 is equal to 5%

PLEAZE RATE BRAINLIEST!!!

What is the maximum amount of a loan you can get if you pay $700 each month at a yearly rate of 0.89% for 10 years?

Answers

Answer:

$785.17

Step-by-step explanation:

Given data

PV is the loan amount

PMT is the monthly payment

i is the interest rate per month in decimal form (interest rate percentage divided by 12)

n is the number of months (term of the loan in months)

PMT =$700

n = 10 years

i = 0.89%

The formula for the loan amount is

If a person invests $100 at 4% annual interest, find the approximate value of
the investment at the end of 10 years.

Answers

Answer:

$140

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + rt)[/tex]

P is principle amountr is ratet is time

Step-by-step explanation:

Step 1: Define

Identify variables

P = 100

r = 4% = 0.04

t = 10

Step 2: Find Interest

Substitute in variables [Simple Interest Rate Formula]:                                 A = 100(1 + 0.04 · 10)(Parenthesis) Multiply:                                                                                      A = 100(1 + 0.4)(Parenthesis) Add:                                                                                            A = 100(1.4)Multiply:                                                                                                             A = 140

!!!!!!!!PLEASE HELP NOW !!!!!!!!!!!!!!!!!!
What is the following product?
45 47 47.45
4(977)
O AN
74
7

Answers

Answer:

7

Step-by-step explanation:

You can convert the fourth square roots to [tex]7^{\frac{1}{4}}} * 7^{\frac{1}{4}}} * 7^{\frac{1}{4}}} * 7^{\frac{1}{4}}}[/tex]. Using the product of powers rule, we can add the four terms' exponents, resulting in [tex]7^1[/tex], which is 7.

2) Consider the quadratic sequence 72, 100, 120, 132

2.1.1) Determine Tn the nth term of the quadratic.​

Answers

Answer:

Tn = -4n²+40n+36

Step-by-step explanation:

A general quadratic sequence, Tn = an²+bn+c, where n is the term of the sequence.

So, when n = 1, Tn = 72, which means T1 = a+b+c=72.

when n = 2, Tn = 100, which means T2= 4a+2b+c = 100

when n = 3, Tn = 132, which means T3 = 9a+3b+c = 132.

Now, use a calcaulatot to solve the 3 variable simultaneous equation. According to my calculator, a = -4, b = 40, c = 36.

Hence, you a, b, and c in the Tn equation given above.

Therefore, Tn = -4n²+40n+36

Diane bought new headphones originally listed for $70.99. They are 25% off. Which equation can be used to find the amount Diane will save?

Answers

Step-by-step explanation:

100% = $70.99

there is a discount of 25%.

that means 75% (100 - 25) of the original price remains.

the equation to get any x% amount of a 100% total is simply

x% amount = 100% total amount × x/100

25% = 70.99 × 25/100 = $17.75

Your friend is studying for an exam. Based on your knowledge of your friend, you believe that if they study for the exam, there is an 80% probability they will be able to pass it. On the other hand, if they do not study, there is only a 30% probability they will be able to pass. Your friend is not a particularly industrious student, and you initially believe there is only a 60% probability your friend will study for the exam. A few days later your friend happily proclaims that they passed the exam. Thus, find the probability that they did in fact study for the test with this knowledge in hand.

Answers

Answer:

0.8 = 80% probability that they did in fact study for the test.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Passed the exam.

Event B: Studied.

Probability of passing the test:

80% of 60%(Studied).

30% of 100 - 60 = 40%(did not study). So

[tex]P(A) = 0.8*0.6 + 0.3*0.4 = 0.6[/tex]

Probability of passing the test studying:

80% of 60%, so:

[tex]P(A \cap B) = 0.8*0.6 = 0.48[/tex]

Find the probability that they did in fact study for the test with this knowledge in hand.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.48}{0.6} = 0.8[/tex]

0.8 = 80% probability that they did in fact study for the test.

Use the method of cylindrical shells to write out an integral formula for the volume of the solid generated by rotating the region bounded by the curve y = 2x - x^2 and the line y = x about the y-axis.

Answers

Answer:

The answer is "[tex]\frac{5\pi}{6}[/tex]"

Step-by-step explanation:

Please find the graph file.

[tex]h= y=2x-x^2\\\\r= x\\\\Area=2\pi\times r\times h\\\\= 2 \pi \times x \times (2x-x^2)\\\\= 2 \pi \times 2x^2-x^3\\\\volume \ V(x)=\int \ A(x)\ dx\\\\= \int^{x=1}_{x=0} 2\pi (2x^2-x^3)\ dx\\\\= 2\pi [(\frac{2x^3}{3}-\frac{x^4}{4})]^{1}_{0} \\\\= 2\pi [(\frac{2}{3}-\frac{1}{4})-(0-0)] \\\\= 2\pi \times \frac{5}{12}\\\\=\frac{5\pi}{6}\\\\[/tex]

The jury pool for the upcoming murder trial of a celebrity actor contains the names of 100,000 individuals in the population who may be called for jury duty. The proportion of the available jurors on the population list who are Hispanic is .40. A jury of size 12 is selected at random from the population list of available jurors. Let X = the number of Hispanics selected to be jurors for this jury.

a. What is the expected number of hispanic jurors being on the jury?
b. What is the expected value (or theoretical mean) of a great earthquake off the coast of Oregon in two years?
c. Use the poisson distribution to appropriate the probability that there will be at least one major earthquake in the next two years.

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Have a Spanish Jury possibility[tex]= 0.40[/tex]

Jury member No. to be chosen[tex]= n= 12[/tex]

Hispanic Juror Expected [tex]= np = 12\times 0.40 = 4.8[/tex]

The jury group will be constituted by Hispanic Jurors [tex]4.8[/tex]

OR

The binomial distribution defines the behavior of a count variable X, provided:

There are a set number of data points n.

Set [tex]n=12[/tex]

Each perception is independent. This will not affect others if your first juror is selected

One of two results is that each observation ("success" or "failure"). English or not

Each result has the same chance of "success" p. for every [tex]p=0.40[/tex]

Well by the binomial distribution. Mean[tex]=E(x)=np=4.8[/tex]

How many more combined faces and vertices does a prism have than edges

A.1
B.2
C.3
D.4

Answers

Answer:

1

Step-by-step explanation:

I hope my answer is write

Now suppose that not every player can play in every position. The outfielders (left field, center field, right field) can play any outfield position, the infielders (1st base, 2nd base, 3rd base, short stop) can play any infield position, the pitchers can only pitch, and the catchers can only catch. Suppose a certain team has 20 players, of whom 3 are catchers, 4 are outfielders, 6 are infielders, and 7 are pitchers.
How many ways can the team assign field positions to 9 of the 19 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled?

Answers

Answer:

The team can assign field positions to 9 of the 19 players in 181,440 different ways.

Step-by-step explanation:

Since the outfielders (left field, center field, right field) can play any outfield position, the infielders (1st base, 2nd base, 3rd base, short stop) can play any infield position, the pitchers can only pitch, and the catchers can only catch, supposing a certain team has 20 players, of whom 3 are catchers, 4 are outfielders, 6 are infielders, and 7 are pitchers, to determine how many ways can the team assign field positions to 9 of the 19 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled, the following calculation must be performed:

3 x 7 x 6 x 5 x 4 x 3 x 4 x 3 x 2 = X

21 x 30 x 12 x 24 = X

630 x 12 x 24 = X

181,440 = X

Therefore, the team can assign field positions to 9 of the 19 players in 181,440 different ways.

Which of the following statements is likely to be true?
a) The median personal income of California taxpayers would probably be near the mean.
b) For personal incomes in California, outliers in either tail would be equally likely.
c) The interquartile range offers a measure of income inequality among California residents.
d) For income, the sum of squared deviations about the mean is negative about half the time.

Answers

Answer:

c. The interquartile range offers a measure of income inequality among California residents.

Step-by-step explanation:

The range is the midspread which measures statistical dispersion. This is also known as H-spread which is equal to the difference between 75th percentile and 25th percentile. In the given scenario the interquartile range offers measure of income inequality among California residents.

URGENT!!!!!!! HELP PLEASE!!!!!!

Answers

Answer:

[tex]x^\frac{2}{3}[/tex]

Step-by-step explanation:

Using the power of power rule (multiply the exponents)

[tex]x^\frac{4}{3}[/tex] × [tex]^\frac{1}{3}[/tex]       [tex]x^\frac{2}{3}[/tex] × [tex]^\frac{1}{3}[/tex]

[tex]x^\frac{4}{9}[/tex]            [tex]x^\frac{2}{9}[/tex]

When exponents are multiplied, add the answers:

x ^ ( 4/9 + 2/9 )

x ^ ( 6/9 )

x ^ ( 2/3 )

What is the length of ef in the right triangle below 25 7

Answers

Answer:

Can we see the picture?

Step-by-step explanation:

I’ll mark u plz help

Answers

Answer:

A. 3/2

Step-by-step explanation:

I like to think of it as shift left or right by the numerator and shift up or down by the denominator. So I go over three and up two from (-3, -1) to reach (0, 1)

Answer:

3divided by 2 I think...

#16 What is the value of x?

Answers

Answer:

x = 25 , x = 136

Step-by-step explanation:

(15)

The opposite angles of a cyclic quadrilateral are supplementary , sum to 180°

3x + 105 = 180 ( subtract 105 from both sides )

3x = 75 ( divide both sides by 3 )

x = 25

(16)

The chord- chord angle is half the sum of the arcs intercepted by the angle and its vertical angle, then

x = [tex]\frac{1}{2}[/tex] (VW + UX) = [tex]\frac{1}{2}[/tex](115 + 157) = [tex]\frac{1}{2}[/tex] × 272 = 136

Line p and q are parallel lines. The slope of line q is -3. Determine the slope of line p

Answers

Answer:

-3

Step-by-step explanation:

since the lines are parallel, they have the same slope because they never intersect

3/4 divided by 1/2

multiple choices
2/3
1 1/4
1 1/2
3

please hurry and choose between those

Answers

Answer:

Step-by-step explanation:

In the figure, L1 || L2. 2x=174º. Find Za+Zb.

Answers

9514 1404 393

Answer:

  12°

Step-by-step explanation:

We assume you mean ...

  ∠x = 174°

Angle a is supplementary to angle x, so is ...

  ∠a = 180° -174° = 6°

Angle b is a vertical angle with respect to angle 'a', so is the same measure.

  ∠a +∠b = 6° +6° = 12°

(6 + 8) (3 - 2) = help plz

Answers

Answer:

Step-by-step explanation:

(6+8i)(3-2i)

use FOIL

18 - 12i + 24i - (16[tex]i^{2}[/tex])

18 + 12i - (-16)

18 + 12i + 16

34 + 12i

Consider the sequence {an}={3n+13n−3n3n+1}. Graph this sequence and use your graph to help you answer the following questions.

Answers

Part 1: You can simplify [tex]a_n[/tex] to

[tex]\dfrac{3n+1}{3n}-\dfrac{3n}{3n+1} = \dfrac1{3n}+\dfrac1{3n+1}[/tex]

Presumably, the sequence starts at n = 1. It's easy to see that the sequence is strictly decreasing, since larger values of n make either fraction smaller.

(a) So, the sequence is bounded above by its first value,

[tex]|a_n| \le a_1 = \dfrac13+\dfrac14 = \boxed{\dfrac7{12}}[/tex]

(b) And because both fractions in [tex]a_n[/tex] converge to 0, while remaining positive for any natural number n, the sequence is bounded below by 0,

[tex]|a_n| \ge \boxed{0}[/tex]

(c) Finally, [tex]a_n[/tex] is bounded above and below, so it is a bounded sequence.

Part 2: Yes, [tex]a_n[/tex] is monotonic and strictly decreasing.

Part 3:

(a) I assume the choices are between convergent and divergent. Any monotonic and bounded sequence is convergent.

(b) Since [tex]a_n[/tex] is decreasing and bounded below by 0, its limit as n goes to infinity is 0.

Part 4:

(a) We have

[tex]\displaystyle \lim_{n\to\infty} \frac{10n^2+1}{n^2+n} = \lim_{n\to\infty}10+\frac1{n^2}}{1+\frac1n} = 10[/tex]

and the (-1)ⁿ makes this limit alternate between -10 and 10. So the sequence is bounded but clearly not monotonic, and hence divergent.

(b) Taking the limit gives

[tex]\displaystyle\lim_{n\to\infty}\frac{10n^3+1}{n^2+n} = \lim_{n\to\infty}\frac{10+\frac1{n^3}}{\frac1n+\frac1{n^2}} = \infty[/tex]

so the sequence is unbounded and divergent. It should also be easy to see or establish that the sequence is strictly increasing and thus monotonic.

For the next three, I'm guessing the options here are something to the effect of "does", "may", or "does not".

(c) may : the sequence in (a) demonstrates that a bounded sequence need not converge

(d) does not : a monotonic sequence has to be bounded in order to converge, otherwise it grows to ± infinity.

(e) does : this is true and is known as the monotone convergence theorem.

help with num 9 please. thanks​

Answers

Answer:

See Below.

Step-by-step explanation:

We want to show that the function:

[tex]f(x) = e^x - e^{-x}[/tex]

Increases for all values of x.

A function is increasing whenever its derivative is positive.

So, find the derivative of our function:

[tex]\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right][/tex]

Differentiate:

[tex]\displaystyle f'(x) = e^x - (-e^{-x})[/tex]

Simplify:

[tex]f'(x) = e^x+e^{-x}[/tex]

Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of x.

I’m so confused. Need the help

Answers

1.621 kN

Step-by-step explanation:

Let the centerline of the canal be the x-axis. Because the forces exerted by the horses are symmetric to the centerline, only the x-components of these forces contribute to the resultant force on the barge, i.e., the y-components cancel out. Each x-component is equal to [tex]F_x = 839\cos 15[/tex] = 810.4 N. Therefore, the resultant force on the barge is twice this:

[tex]F_{net} = 2(839\:\text{N})\cos 15 = 1620.8\:\text{N}[/tex]

[tex]= 1.621\:\text{kN}[/tex]

A researcher is studying the effect of 10 different variables on a critical measure of business performance. In selecting the best set of independent variables to predict the dependent variable, the stepwise regression technique is used. How are variables selected for inclusion in the model?
A. Smallest regression coefficient.
B. Largest p-value.
C. Smallest p-value.
D. Highest increase in the multiple R2.

Answers

Answer:

D. Highest increase in the multiple R2.

Step-by-step explanation:

Included variables in a multiple regression model are those variables which have the most effect on the model ; variables which have no effect on the performance of the model ar discarded. Model performance are based on the variables affect the multiple R² value of the model. The R² value is the coefficient of determination which gives the proportion of change in predicted value based on the regression line. Higher R² value means the variable has greater effect in the model performance. Therefore, variables which have the highest increase on the multiple R² value , are included.

(752+158)-625
Compute in most convenient way

Answers

Answer:

285

Step-by-step explanation:

First, you would add 752 and 158. The sum is 910. Then, you subtract 625 and get 285.

Hi can someone reply me I am not sure how to factorise (2x+3)(4x-1)-(3+2x)(x-5)

Answers

I hope this is a real answer

Find a33 of the arithmetic sequence given a1=17 and d=6.

Answers

Answer:

209

Step-by-step explanation:

Given the following:

[tex]a_{1} = 17\\d=6[/tex]

The nth term of an arithmetic sequence is expressed as:

[tex]a +(n-1)d[/tex]

a is the first term = 17

d is the common difference =6

Get the 33rd term:

[tex]n=33\\a_{33}=17+(33-1)*6\\a_{33} =17+32(6)\\a_{33}=17+192\\a_{33}=209[/tex]

Hence the 33rd term is 209

If angle ACB is congruent, and angle BAC=3x-10, angle ECD=45 and angle EDC=2x+10 what is x?

Answers

Answer:

x=20

Step-by-step explanation:

Since BAC and EDC are the same (ACB and DCE are congruent), 2x+10=3x-10, x=20

please answer all the questions and get 15 pts

Answers

Answer:

Here you go

Ans is in pictures.

What is the vertex of the graph of y = 2(x + 5)2 - 2?

Answers

Answer:

The vertex is (-5, -2)

Step-by-step explanation:

y = 2(x + 5)^2 - 2

The vertex form of a parabola is

y =a(x-h)^2 +k  where (h,k) is the vertex

y = 2(x  -  -5)^2 - 2

The vertex is (-5, -2)

(0,18) might be correct
Other Questions
Which quadrilateral has equal diagonalsSelect one:a. trapezoidb. rectanglec. parallelogramd. rhombus A recipe requires 500 mL of milk. You will make the recipe once a month for the next 4 months. You do not use milk other than for cooking. Which container of milk should you buy? (1L=1000 mL) * Amanda has 1 3/4yds of red ribbon and 7/8yds of greenribbon. What is the total amount of ribbon thatAmanda has? (write answer as a fraction) What can the reader infer about the importance the discovery of the shipwrecks has to archaeologists Please answer ASAP!!! A ski store has 60 different boots available, 30 different pairs of skis, and 40 different hats. If a customer were to only buy ONE item, how many different ways can a customer purchase an item from the store? Fill in the blank:Mucho ____, Pablo. if A ={1,2,3,4} and B={3,4,5,6} find A-B. Which text uses the word travesty in its traditional sense?In 1687, John Phillips published a controversial English translation ofCervantes's Don Quixote. Phillips's translation, a travesty of the originalstory, was filled with vulgar humor.John Milton's epic poem Paradise Lost was first published in 1667. It's atravesty that only thirty-three pages of the original manuscript havesurvived.ThingSubmit What animal makes pepperoni? Robert Burns, Scotlands greatest poet, (0) was born (1) 25th January, 1759. (2) an early age he had to help his father on his farm as well as attend lessons given by a teacher who was employed by his father and a (3) neighbours.When he was twenty-two, he (4). to Irvine, where he began to learn about making cloth. Shortly after (5) arrival, the factory in which he was training was destroyed by fire so he started a farm with his younger brother Gilbert.While he (6) living on the farm, he concentrated (7) writing poems and fell in love (8) a local girl, Jean Armour. Robert wanted to marry her but her father (9).. not allow him to do so, probably because he thought Burns was not wealthy enough. Her fathers refusal took Robert (10) surprise and since he could not (11).. used to the idea of being unable to marry her, he decided to leave the country. (12) very little money, Robert had to obtain the fare for the voyage by selling some poems. Just as he was about to leave he was given (13) advice-to publish a new edition of the poems he (14).. written. He received a large sum of money for the poetry and was able to get married to Jean Armour. During his marriage he continued to write the expressive poetry .He became famous (15)., Robert Burns died in 796 from rheumatic fever. What is The Drug Classification For The Medication Buspar / Xanax What is generation of computer ? please helpEvaluate 3^x for x = 2, x = 1, and x = 3.A)13, 0, 9B) 9, 3, 27C) 19, 3, 27D)19, 9, 27 Which is the graph of y = [x]-2?PLEASE HELP TIMED PLEASE account question started business with cash rs 2,00,000 A girl who normally gets A's didn't do the first assignment given on the first day of school and now has 0%. How many 95% grades will she need to achieve an average of 90% overall? The points for each assignment are based on what she scores. What are advantages and disadvantages of gender equality ? Please write a paragraph summarizing this paragraph below. I will mark brainliest for the best paragraph!!As each person, accordingly, attempts however much he can both to utilize his capital in the help of homegrown industry, thus to coordinate that industry that its produce might be of the best worth; each individual essentially works to deliver the yearly income of the general public as extraordinary as possible. He for the most part, to be sure, neither means to advance the public interest, nor knows the amount he is advancing it. By inclining toward the help of homegrown to that unfamiliar industry, he expects just his own security; and by coordinating that industry in such a way as its produce might be of the best worth, he plans just his own benefit, and he is in this, as in numerous different cases, driven by an invisible hand to advance an end which was no essential for his expectation. Nor is it generally more regrettable for the general public that it was not essential for it. By seeking after his own advantage he every now and again advances that of the general public more practically than when he truly plans to advance it. A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.What is the total distance the monkey has traveled when she completes her 25th swing? Round your final answer to the nearest meter. vitamin d sources food and fruits