Use a calculator to find a value of θ between 0° and 90° that satisfies the statement. Write your answer in degrees and minutes rounded to the nearest minute.


csc(theta)= 4.1191

Answers

Answer 1

Answer:

[tex]\theta = 14.1\ degrees[/tex]

[tex]846\ minutes[/tex]

Step-by-step explanation:

Given

[tex]csc(\theta) = 4.1191[/tex]

Required

Solve for [tex]\theta[/tex]

[tex]csc(\theta) = 4.1191[/tex]

[tex]csc(\theta) = \frac{1}{sin(\theta)}[/tex]

So, we have:

[tex]\frac{1}{sin(\theta)} = 4.1191[/tex]

Invert both sides

[tex]sin(\theta) = \frac{1}{4.1191}[/tex]

[tex]sin(\theta) = 0.2428[/tex]

Take [tex]sin^{-1}[/tex] of both sides

[tex]sin^{-1} sin(\theta) = sin^{-1}0.2428[/tex]

[tex]\theta = sin^{-1}0.2428[/tex]

[tex]\theta = 14.0518577574[/tex]

[tex]\theta = 14.1\ degrees[/tex] --- approximated

Convert to minutes:

[tex]1\ degree = 60\ minutes[/tex]

So:

[tex]14.1\ degrees = 14.1 * 60\ minutes[/tex]

[tex]14.1\ degrees = 846\ minutes[/tex]


Related Questions

How much will cost to buy beef for a family of 2 if each person gets 1/2 pound of beef and the beef cost 5.99 per pound?

Answers

Answer:

it will cost 5.99

Step-by-step explanation:

because each person getting half and there are 2 peeps so add up the meet to make on pound

what are the partial products of 9 x 813

Answers

Answer:

813

* 9. 9*800= 7200

9*10. =90

7200

90. 9*3. =27

27

7317

The partial product is 7317.

What is partial product?

The partial product method involves multiplying each digit of a number in turn with each digit of another where each digit maintains its place. (So, the 2 in 23 would actually be 20.)

Given:

9 x 813

Now, breaking the number according to their place value.

So, 813

=(800 + 10 +3)

Then the partial product will be written as

=9 * (800 + 10 +3)

=9* 800+ 9*10 + 9*3

=7200 + 90 + 27

= 7317

Hence, the partial product is 7317.

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Suppose you are working with a data set that is normally distributed, with a mean of 350 and a standard deviation of 48. Determine the value of x from the following information.

a. 70% of the values are greater than x.
b. x is less than 10% of the values.
c. 24% of the values are less than x.
d. x is greater than 60% of the values.

Answers

Answer:

324.848

288.464

316.112

337.856

Step-by-step explanation:

Given that :

Mean (m) = 350

Standard deviation (σ) = 48

Determine the value of x for the following :

Using the z probability calculator :

a.) 70% of the values are greater than x.

1 - 0.7 = 0.3

P(x < 30%) = P(x < 0.3) = - 0.524 = z

Z = (x - m) / σ

x = (z * σ) + m

X = (- 0.524 * 48) + 350 = 324.848

b.) x is less than 10% of the values.

P(x < 0.1) = - 1.282 = z

X = (- 1.282 * 48) + 350 = 288.464

C.) 24% of the values are less than x

P(x < 0.24) = - 0.706 = z

X = (- 0.706 * 48) + 350 = 316.112

D.) x is greater than 60% of the values

P(x > 0.6) = -0.253 = z

X = (- 0.253 * 48) + 350 = 337.856

Evaluate the function for the indicated values of x.
[Look at image]

Answers

Answer:

f(-10) = -19

f(2) = 4

f(-5) = -9

f(-1) = 1

f(8) = -5

Step-by-step explanation:

In AJKL, JL is extended through point L to point M, mZLJK = (2x + 2)°,
mZKLM = (82 – 16)°, and m/JKL (3x + 6)". Find mZKLM.

Answers

Answer:

<KLM = 48 degrees

Step-by-step explanation:

According to the instructions, we construct the triangle JKL and extend the side JL to point M. The information about the angles is shown in the attached image.

Recall that the addition of all internal angles of a triangle must give 180 degrees.

The angles we need to complete the addition is angle <JLK, which happens to be the supplementary angles to angle <KLM

Therefore <JLK = 180 - (8 x - 16) = 180 - 8 x + 16 = 196 - 8 x

The we can now solve for "x" in the equation of addition of internal angles of a triangle:

(2 x + 2) + (3 x + 6) + (196 - 8 x) = 180

Combining like terms on the left

- 3 x + 204 = 180

subtracting 204 from both sides:

- 3 x = 180 - 204

- 3 x = - 24

divide both sides by "-3" to isolate x

x = - 24 / (-3)

x = 8 degrees

Now that we know "x", we can find the measure of angle <KLM via its formula:

<KLM = 8 x - 16 = 8 (8) - 16 = 48 degrees

Jan designs a new logo for Kim's website. Kim pays Jan $45 for 5 hours of work. How much will Kim pay Jan for 15 hours of work?

Answers

am not sure but i think its 135$

i divided 45 by 5 to get the pay per hour

then multipled 9 by 15 to get the answer

am not the best in maths so its better u get someone to check if before u submit.

Answer:

675

Step-by-step explanation:

$45✖15 hours=675

so you see what we did here is multiply the money amount by the hour .

HOPE IT HELPS :)PLEASE GIVE ME brilliant!!!

How do I write 4,332 in scientific notation??

Answers

Answer:

4.332 x 10 to the 3 power I do believe

Step-by-step explanation:

Answer:

4.332 times 10^3

Step-by-step explanation:

ion kno if thats right but i tried.

The following is the correct way to show the product for 0.297×7.1:

Answers

the answer is 2.1087

Answer:

2.1087

Step-by-step explanation:

0.297

7.1 +

2.1087


The area of a parallelogram is 24 square units. One side of the parallelogramis
36 units long. The other side is 4 units long. Which could be the parallelogram's
height? Choose all the correct answers.
A.1/6
B.2/3
C.3/2
D.6
E.9

Answers

In this particular Equationthe answere is c

The required height of the parallelogram is 2/3. Option B is correct.

Given that,
The area of a parallelogram is 24 square units. One side of the parallelogramis 36 units long. The other side is 4 units long. Which could be the parallelogram's height is to be determined.

What is parallelogram?

A parallelogram is a quadrilateral consisting of pairs of parallel side.

Here,
We have given the area of the parallelogram and the measure of its base. So,
Area of the parallelogram = base * height
                                       24 = 36 * height
                                       height = 2 / 3

Thus, the required height of the parallelogram is 2/3. Option B is correct.
 

                           

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Write the equation the graph pictured below:

Answers

Answer:

It would be the first one (y-2=1/3(x-2))

Step-by-step explanation:

The first one is the same function as y=x(1/3)+(1+1/3) which is the same function as the photo.

Real Estate Agent:

A woman bought 4 lots for $48,000 each. She then subdivided

them into a total of 7 lots that sold for $33,000 each. What was

her percent of profit? I

Savings and Loan Counselor:

A customer wishes to borrow $30,000, make monthly payments

of interest only, and pay the full amount of the principal at the

end of the term. If the interest rate is 12% annually, what are the

monthly payments for a five-year term?

Answers

Step-by-step explanation:

A.

Cost of 4 lots for $48,000= 48000*4

=$192,000

Sales made from all 7 lots = 33000*7

= $213,000

Profit =213,000-192,000

Profit =$39,000

Percent profit =(39000/192000) *100

=0.20*100

=20%

B.

Total interest formula=

Principal Loan Amount x Interest Rate x Time

Interest =30000x0.12x5

Interest = $18,000

Monthly payments for 5 years

= 18000/12*5

=18000/60

=$300

Insurance withholding varies depending on whether an entire family is covered or only the employee is covered. True False​

Answers

Answer:

it would True

Step-by-step explanation:

what is 12÷ 1 1/5 = nnnnnn

Answers

Rewrite 1 1/5 as 6/5

Now you have 12 / 6/5

When dividing by a fraction, flip the fraction over and multiply:

12 / 6/5 = (12 x 5) /6 = 60/6 = 10

The answer is 10

Answer:

8

Step-by-step explanation:

Sam lives near a lagoon in the Caribbean that is populated by flamingos. Sam decides to figure out approximately how many flamingos live in the area. He catches 45 flamingos, put tags on them, and releases them. Later, he catches 280 flamingos, 30 of which are tagged. To the nearest whole number, what is the best estimate for the flamingo population?

Answers

Answer:

about 330

Step-by-step explanation:

280 rounded is 330 and 30 is already rounded so you would add 30 plus 330

Answer:

THE ANSWER IS 330 BUT YOU WOULD ADD 300 PLUS 30

Step-by-step explanation:

i  need points :)

Suppose the time it takes a certain printer to print a document is an Exponential random variable with an average time of 15 seconds. You send a document to the printer at 1:00pm, and it is the third document in the queue. What is the probability that your printout will be ready by 1:01pm

Answers

Answer:

0.8046

Step-by-step explanation:

We're asked to calculate the probability that the job will be ready by 1.01 pm

From the question, we can note that the parameter of an Exponential is E(X)= 15

Next, to calculate the third job probability, we will have to use Poisson Distribution with parameter 1/λ

Therefore, E(Y) = 1/15

Then, The third job will be ready for 1:01 pm, and thus E(Y) = 61/15

Therefore, the required probability is

P(X ≥ 3) = 1 - P(X < 3)

= 1 - Poisson(3,4, true)

= 1 - 0.1954

= 0.8046

Put a check mark for each set the number is part of:

1.56432...

Natural

Whole

Integer

U

Rational

Irrational

Real

Answers

Answer:

Irrational Number

Step-by-step explanation:

Given

[tex]Number = 1.56432..[/tex]

Required

Determine which set of number it is

The given number is not a natural number, whole number and it is not an integer because it contains decimal point

The given number is not rational because it can not be expressed as a fraction of two whole numbers.

Hence:

The set of the number is irrational

Three Rivers publishes a catalog each year, last year it had 198 pages back and front. We

print 150 copies. How much does it cost the college if a ream, 500 pages, cost

$7.40 each?

Answers

Answer:

$222

Step-by-step explanation:

We need to find how many ream was used in the printing forts, to determine how much the College spent.

The catalog is 198 pages, back and front, which means, 1 leaf will take 2 pages. Therefore, 99 pages were used in printing 1 copy of the catalog.

No of pages that were used in printing 150 copies = 150*99 = 14,850 pages.

If 500 pages = 1 realm, therefore,

14,850 pages = 14,850/500 = 29.7.

Since, it's a full team that is sold, let's approximate the number of reams bought to be 30 reams.

If 1 ream costs $7.40, therefore,

30 reams = 30*7.40 = $222

PLEASE HELP MATH!!!1

Answers

the y< -2x + 6 is the one that crosses at 6 on the y-axis. the < indicates that you shade BELOW it, so the left side of that line is shaded because it has a negative slope.

the y> 5/4x - 6 is the one that crosses at -6 on the y-axis. the > indicates that you shade ABOVE it, so the left side would also be shaded because it has a positive slope.

so whatever point is in both of those shaded areas would satisfy both inequalities

The auxiliary equation for the given differential equation has complex roots. Find a general solution. y''-10y' 29y=0

Answers

Answer:

[tex]y = Acos5x - Bsin5x[/tex]

Step-by-step explanation:

Given the differential equation y''-10y'+29y=0

First, we need to rewrite it as an auxiliary equation as shown:

Let y'' = m²y and y' = my

Substitute the values into the general equation

m²y-10my+29y = 0

Factor out y:

(m²-10m+29)y = 0 [The auxiliary equation]

Solve the auxiliary equation and find the roots of the equation

m²-10m+29 = 0

m = -b±√(b²-4ac)/2a

a = 1, b = -10, c = 29

m = -10±√(10²-4(1)(29))/2(1)

m = -10±√(100-116)/2

m = -10±√-16/2

m = (-10±4i)/2

m = -10/2 + 4i/2

m = -5+2i

Comparing the complex number with a+bi, a = -5 and b = 2

The general solution for complex solution is expressed as:

[tex]y = Acosax + Bsinax[/tex]

Substitute the value of a in the equation

[tex]y = Acos(-5)x + Bsin(-5)x\\y = Acos5x-Bsin5x[/tex]

Hence the general solution to the differential equation is [tex]y = Acos5x - Bsin5x[/tex]

You are testing fertilizers on plants. One plant is 11 cm tall and growing at a rate of 2 cm/day. Write an equation that can be solved to find the number of days, d, it will take for the plant to be 65 cm tall.

Answers

I would consider for you to use Socratic

The required equation  that can be solved to find the number of days, d, it will take for the plant to be 65 cm tall is d=  [tex]\frac{5.5\times 65}{11}\\[/tex]

From the question given, we are told that when testing fertilizers on a plant that is 11 cm tall, it is growing at a rate of 2 cm/day. This can be expressed as:

11cm = 2cm/day

We can get the number of days it will take the 11cm plant to grow:

11cm = x

2cm = 1 day

[tex]2x = 11 * 1\\2x = 11\\x = 11/2\\x = 5.5 days\\[/tex]

Since it will take 5.5days for 11 cm plant tall to grow, to calculate the number of days 'd' it will take a 65cm plant tall to grow, we can say:

11cm = 5.5days

65cm = "d"

Cross multiply

[tex]11d = 5.5 \times 65\\d = \frac{5.5\times 65}{11}\\[/tex]

Hence the required equation  that can be solved to find the number of days, d, it will take for the plant to be 65 cm tall is d=  [tex]\frac{5.5\times 65}{11}\\[/tex]

Learn more here: https://brainly.com/question/23557548

Which two options describe the standard deviation?
4The variance square


1The extreme distance from the mean expected from the data points


2The square root of the variance.


3The average distance from the mean expected of the data.

Answers

Answer:

2 and 3

Step-by-step explanation:

that's just the definition of stdev

Maggie makes blankets to sell. The table shows Maggie’s expense, f(x), her revenue, g(x), and her profit, h(x), per unit of yarn used, x.


Which expresses h(x) as a combined function?

h(x) =

x + f(x)
(f+g)(x)
(f-g)(x)
(g-f)(x)

Answers

Answer:

(g-f)(x)

Step-by-step explanation:

You have to subtract expenses from revenue and multiply by yarn to equal profit



If the polygon is rotated 90' clockwise about the origin, the measure of angle W' is

Answers

Answer:

If you are referring to the angle of the polygon, than it is the same, if you are referring to the angle between the initial and final point about the origin, than it's a right angle. If there is a point(x,y) rotated about the origin(0,0), then the new point will be (y,-x).

Susan needs to buy apples and oranges to make fruit salad. She needs 15 fruits in all. Apples cost $3 per piece, and oranges cost $2 per piece. Let m represent the number of apples. Identify an expression that represents the amount Susan spent on the fruits. Then identify the amount she spent if she bought 6 apples. 30 + 5m; $36 30 + m; $36 30 + 5m; $24 30 + m; $24

Answers

Answer:

m + 30 ; $36

Step-by-step explanation:

Given that:

Total fruits needed = 15

Fruits needed :

Apple (m) ; cost = $3 per piece

Oranges (o) ; cost = $2 per piece

Amount spent on fruits :

[(cost of apple * number of apples) + (cost of orange *(total fruits - number of apples)]

3m + 2(15 - m)

3m + 30 - 2m

3m - 2m + 30

m + 30

Amount spent if 6 apples is purchased :

m = 6

m + 30

6 + 30 = $36

To the nearest megawatt, what is the mean amount of electricity generated in Texas by wind-powered turbines from 2007 to 2010?

Answers

Answer:

7739.5

Step-by-step explanation:

Sharon wants to open a checking account from which to pay bills. She wants online services, and a debit card, which both banks provide for free. Based upon past experience, she expects to accidentally overdraft the account 1 time per year, due to unexpected charges and miscommunications. She expects no 2nd copies of statements, and to use network ATMs 4 times per month with either bank. She has $3300 in an emergency savings account at First State Bank, and thinks that the balance will be enough to cover overdrafts in the future if automatic transfers are made when needed.

Answers

Answer:

a.No, Common Bank will save Sharon more money.

Step-by-step explanation:

There are two banks i.e. first state bank and the common bank that should be compared in the table depend upon the prices of both the banks

On seeing it we get to know that the first state bank would charged a fee on a monthly basis i.e. $4 while on the other hand the common bank has no fee on the monthly basis

Also the unsufficient bonds are more cheaper in the common bank if we compared with the first state bank

Moreover, the $7 is charged in the first state bank and $3 charged in the common bank.

Therefore the common bank would become cheaper

Hence, the correct option is a.

Answer:

Sharon wants to open a checking account from which to pay bills. She wants online services, and a debit card, which both banks provide for free. Based upon past experience, she expects to accidentally overdraft the account 1 time per year, due to unexpected charges and miscommunications. She expects no 2nd copies of statements, and to use network ATMs 4 times per month with either bank. She has $3300 in an emergency savings account at First State Bank, and thinks that the balance will be enough to cover overdrafts in the future if automatic transfers are made when needed.

A 4-column table with 5 rows. Column 1 is labeled First State Bank with entries monthly fee, non-sufficient funds fee, second copy of statement, network A T M usage, non-sufficient funds protection from a First State Bank savings account. Column 2 is labeled Description with entries 4 dollars, 36 dollars, 7 dollars, 3 dollars each transaction, 4 dollars on each day that a transfer occurs to cover an overdraft. Column 3 is labeled Common Bank with entries monthly fee, non-sufficient funds, second copy of statement, network A T M usage, non-sufficient funds protection from a Common Bank savings account. Column 4 is labeled Description with entries 0 dollars, 24 dollars, 4 dollars, 2 dollars each transaction, not offered with this account.

Based on the tables of fees, above, if Sharon chooses First State Bank, will it save her money over choosing Common Bank?

a.   No, Common Bank will save Sharon more money. <<<---Correct b.   Yes, First State Bank will save Sharon money. c.   No, First State Bank and Common Bank would have the same costs for Sharon. d.   No, costs cannot be estimated in advance, so this information cannot be used.

Step-by-step explanation:

Edge 2021

please help with one and two i have no clue and i’m really stressed, i’ll mark highest :(

Answers

Answer:

          From Post Office to Store is 7.8 miles           Henry would walk 2.2 h

Step-by-step explanation:

From Post Office (P) to Library (L) is 6 miles, from Store (S) to Library (L) is 5 miles. And angle SLP is right angle (m∠SLP=90°).

So, from Pythagorean theorem:

[tex]SL^2+PL^2=SP^2\\\\5^2+6^2=SP^2\\\\SP^2=25+36=61\\\\SP=\sqrt{61}=7.810 249...\approx7.8[/tex]

If Henry walks 3.6 mph then:

[tex]3.5\qquad-\quad\quad1\,h \\7.8\qquad-\qquad x\\\\ x=\dfrac{7.8\cdot1\,h}{3.5}=\dfrac{78\,h}{35}=2,22857...\, h\approx2.2\,h[/tex]

Suppose an internet marketing company wants to determine the current percentage of customers who click on ads on their smartphones. How many customers should the company survey in order to be 90% confident that the estimated proportion is within five percentage points of the true population proportion of customers who click on ads on their smartphones

Answers

Answer:

The value is  [tex]n =271[/tex]  

Step-by-step explanation:

From the question we are told that

  The margin of error is  [tex]E = 5\% = 0.05[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

Generally we will assume that the sample proportion is [tex]\^ p = 0.5[/tex] since we have no information on the proportion of  of customers who click on ads on their smartphones

Generally the sample size is mathematically represented as

      [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>    [tex]n = [\frac{1.645 }}{0.05} ]^2 * 0.5 (1 - 0.5 ) [/tex]

=>    [tex]n =271[/tex]    

Using the z-distribution, as we are working with a proportion, it is found that 271 customers should be sampled.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem:

90% confidence level, hence the critical value is z = 1.645.No prior estimate, hence p = 0.5.Within five percentage points, hence M = 0.05.

Then:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.05\sqrt{n} = 0.5 \times 1.645[/tex]

[tex]\sqrt{n} = [10(1.645)][/tex]

[tex](\sqrt{n})^2 = [10(1.645)]^2[/tex]

[tex]n = 270.6[/tex]

Rounding up, 271 customers should be sampled.

More can be learned about the z-distribution at https://brainly.com/question/25890103

can somebody please help me with this quesiotion

Answers

Answer:

-3

Step-by-step explanation:

sense its between -2 and -4

*question

HELP ASAP IT'S AN EMERGENCY​

Answers

Answer:

Last option must be correct because you need to prove three things congruent to give a postulate.In which case you have two sides of each triangle that means it is incomplete.

thus last option is correct.

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