Write the first expression in terms of the second if the terminal point determined by t is in the given quadrant. sec(t), tan(t); Quadrant II sec(C) - ✓ tan²t+1/x Need Help? Raadt Watch It

Answers

Answer 1

sec(C) = (1 + ✓(x² + 1))/x, if the terminal point determined by t is in Quadrant II.

We need to write sec(t) in terms of tan(t).In Quadrant II, x is negative and y is positive.

We need to find the value of sec(C) - ✓ tan²t+1/x.To find the value of sec(t) in terms of tan(t), we need to use the identity sec²(t) = 1 + tan²(t)

Squaring the identity above, we get

sec²(t) = 1 + tan²(t)⟹ sec²(t) - tan²(t) = 1⟹ sec²(t) = 1 + tan²(t) (since sec(t) > 0 in QII)⟹ sec(t) = √(1 + tan²(t))

Now, we need to write sec(t) in terms of tan(t), we have;

sec(t) = √(1 + tan²(t))sec²(C) - ✓ tan²(t) + 1/x = sec²(C) - tan²(t) + 1/xsec²(C) - tan²(t) = sec(t)² - tan²(t) = (1 + tan²(t)) - tan²(t) = 1

Therefore,

sec(C) - ✓ tan²(t) + 1/x = 1 + 1/xsec(C) = 1/x + ✓ tan²(t) + 1/x = (1 + ✓(x² + 1))/x

Hence, sec(C) = (1 + ✓(x² + 1))/x, if the terminal point determined by t is in Quadrant II.

To know more about terminal point visit:

https://brainly.in/question/54067570

#SPJ11


Related Questions

Solve the inequality
x - 4/5 > 1/5

Answers

x - 4/5 > 1/5

  +4/5   +4/5    add 4/5 on each sides, 4/5s will cancel on the left side.

__________   solve for 1/5 + 4/5, which is 1.

x > 1, is the final answer.

hope this helps :)

Answer:

x>1

Step-by-step explanation:

Hi guys this isn’t about math but it needs to be said if you get a comment answering your question telling you a link they have has the answers DO NOT PRESS IT! Those people are either sex traffickers and trying to get your IP address or trying to get your personal information. Stay safe

Answers

Step-by-step explanation:

Dang, that's crazy! Thanks for letting us know! People be warned!

Answer:

FR

Step-by-step explanation:

don’t interact just report ☝️

Simone and Leah are playing a game with dice. What is the probability Simone rolls a 6 and then Leah rolls an odd number?

Answers

Answer:

1. 1/6

2. 1/2

Step-by-step explanation:

A dice has 6 sides. So the sample space for this question =

[1,2,3,4,5,6]

1. From the sample space we can see that 6 occurs only once in a dice

So probability of a 6

= 1/6

2. Number of odds = 3 (1,3,5)

Probability Leah rolls an odd number

= Odd/total

= 3/6

= 1/2

Kendall bought a vase that was priced at $450. In addition, he had to pay 9% sales tax. How much did he pay for the vase?

Answers

Answer:

$436

Step-by-step explanation:

which expression is equivalent to (1 cos(x))2tangent (startfraction x over 2 endfraction) )? sin(x) 1 – cos(x) 1 – cos2(x) (1 cos(x))(sin(x))

Answers

The expression (1 - cos(x))^2 * tangent(x/2) is equivalent to (1 - cos^2(x))(sin(x)).

We can simplify the expression by using the trigonometric identity: cos^2(x) + sin^2(x) = 1. Rearranging this identity, we have sin^2(x) = 1 - cos^2(x).

Substituting this identity into the expression, we get (1 - cos^2(x))(sin(x)).

Expanding the expression further, we have sin(x) - cos^2(x)sin(x).

Therefore, the expression (1 - cos(x))^2 * tangent(x/2) is equivalent to (1 - cos^2(x))(sin(x)).

To learn more about equivalent

brainly.com/question/25197597

#SPJ11

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

A

I’m pretty sure it’s A

Answer:

A, sure

mark me as brainliest plz

Find the area of the shaded region. Use the pin button on the calculator. Round to the nearest whole number. 14 70°

Answers

Answer:

The area is approximately [tex]588cm^2[/tex]

Step-by-step explanation:

Given

See attachment for figure

Required

The area of the shaded region

The shaded region is as follows:

A major segmentA triangle

First, calculate the area of the major segment using:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

Where

[tex]r = 14[/tex]

[tex]\theta = 360 - 70 =290[/tex]

So, we have:

[tex]A_1 = \frac{290}{360} * 3.14 * 14^2[/tex]

[tex]A_1 = 495.7711[/tex]

Next, the area of the triangle using:

[tex]Area = \frac{1}{2}ab \sin C[/tex]

Where

[tex]a=b=r = 14[/tex]

[tex]C = 70^\circ[/tex]

So, we have:

[tex]A_2 = \frac{1}{2} * 14 * 14 * sin(70)[/tex]

[tex]A_2 = 92.0899[/tex]

So, the area of the shaded region is:

[tex]Area = A_1 + A_2[/tex]

[tex]Area = 495.7711 + 92.0899[/tex]

[tex]Area = 587.8610[/tex]

[tex]Area \approx 588[/tex]

Match the correct term to its definition.
Fomite E. Portal of exit
Vector F. Zoonotic
Reservoir G. Incubation period
Portal of entry
34. _______ Site where infectious agent enters the body
35. _______ Disease transmitted through an animal bite
36. _______ Population or environment in which pathogen lives and reproduces and on which it depends on its survival
37. _______ Inanimate object covered in disease-causing agent
38. _______ Interval between exposure to pathogen and first signs and symptoms of disease
39. _______ Site where infectious agent leaves the body
40. _______ Living insect or animal involved with disease transmission

Answers

The words to fill each gap, respectively, are Portal of entry, Vector, Reservoir, Fomite, Incubation period, Portal of exit, Vector.

Diseases Infection

Portal of entry: It refers to the site or pathway through which an infectious agent enters the body of a susceptible host, allowing the agent to establish an infection.

Vector: A vector is a living organism, usually an insect or animal, that transmits disease-causing pathogens from one host to another. It serves as an intermediate carrier of the infectious agent.

Reservoir: Reservoir refers to a population or environment where a pathogen lives and multiplies, serving as a source of infection. The pathogen depends on the reservoir for its survival and can be transmitted from the reservoir to susceptible individuals.

Fomite: A fomite is an inanimate object or surface that becomes contaminated with disease-causing agents, such as bacteria or viruses. These agents can survive on fomites and potentially transmit infection if they come into contact with a susceptible individual.

Incubation period: The incubation period is the interval between exposure to a pathogen and the appearance of the first signs and symptoms of the disease. It represents the time required for the pathogen to replicate and cause noticeable illness in the infected individual.

Portal of exit: It refers to the site or pathway through which an infectious agent leaves the body of an infected individual, allowing it to be transmitted to other hosts. Examples of portals of exit include respiratory secretions, feces, blood, or skin lesions.

Vector: As mentioned earlier, a vector is a living insect or animal that plays a role in transmitting disease. It can acquire the pathogen from an infected host and transmit it to a susceptible individual, potentially causing disease in the process.

More on disease infection can be found here: https://brainly.com/question/8633233

#SPJ4

Which of these is an example of qualitative data?
A how many books your classmates read this year

B. your classmates' favorite books

C. how much a book costs at the store

D. how many pages your favorite book has​

Answers

i think it depends on if you have enough money to buy the books you need so C would be the answer

1/3 of your birthday cake is leftover from your party. If you eat 1/4 of the leftover cake, what fraction of the original birthday cake is left

Answers

Answer:

a twelth= 1/12

Step-by-step explanation:

can someone help me on this question?

Answers

Answer:

diameter 33

radius 66

area 360

what is 7 8/9 written as a decimal

Answers

The number 7 8/9 as a decimal is 7.89

Plz Help me this is already overdue

Answers

Answer:

2nd Column: [tex]\frac{39-78}{25-59}[/tex]

3rd Column:[tex]1.56[/tex]

Step-by-step explanation:

2) For this, just follow the formula given underneath the chart.

3) Here, simplify the equation used in the 2nd Column.  [tex]\frac{39-78}{25-50} = \frac{-39}{-25} = -1.56[/tex]

At a pet store, Davina counted 12 parrots out of 20 birds. Which is an equivalent ratio of parrots to birds at the pet store?

Answers

D. 3 to 5 This is because if you simplify the ratio by dividing each number in the ratio by 4, therefore for every group of 5 birds 3 of them are parrots
hope this helps!:)

suppose 60% of the banks in switzerland are private organizations. if a sample of 469 banks is selected, what is the probability that the sample proportion of private banks will be greater than 65% ? round your answer to four decimal places.

Answers

The probability that the sample proportion of private banks will be greater than 65% is 0.1548.

Given that 60% of banks in Switzerland are private organizations.

If a sample of 469 banks is selected, we need to find the probability that the sample proportion of private banks will be greater than 65%.

Let p be the proportion of private banks in a sample of 469 banks.

Then

q = 1 - p

= 1 - 0.6

= 0.4 (as the percentage of private banks is given to be 60%)

Sample size, n = 469

We are to find the probability that the sample proportion of private banks will be greater than 65%.

That is, we need to find P(p > 0.65).

We use the normal distribution for finding probabilities associated with proportions.

We can use the formula as follows:

z = (p - P) / √[PQ/n],

where P is the population proportion (given as 0.6),

Q = 1 - P

= 0.4, and

n = 469

Putting all the given values in the above formula, we get;

z = (0.65 - 0.6) / √[0.6 × 0.4 / 469]

z = 1.0182

P(p > 0.65) = P(z > 1.0182)

Using the standard normal table, we get; P(z > 1.0182) = 0.1548

Therefore, the probability that the sample proportion of private banks will be greater than 65% is 0.1548 (rounded to four decimal places).

Hence, the answer is 0.1548.

To know more about probability visit:

https://brainly.com/question/13604758

#SPJ11

Element X decays radioactively with a half life of 11 minutes. If there are 870 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 154 grams?
y = a(.5) t/h​

Answers

Answer:

27.5 minutes

Step-by-step explanation:

Using,

R/R' = 2ᵃ/ᵇ------------------ Equation 1

From the equation,

R = mass of Element X before radioactive decay, R' = mass of element X after radioactive decay, a = Time taken, b = half life.

Given: R = 870 grams, R' = 154 grams, b = 11 minutes.

Substitute these values into equation 1

870/154 = 2ᵃ/¹¹

(870/154)¹¹ = 2ᵃ

Solve for a

2ᵃ = (5.649)¹¹

2ᵃ = 187061.26

Taking the logarithm of both side,

Log2ᵃ = Log(187061.26)

⇒ a = log(187061.26)/log2

a = 8.272/0.301

a = 27.5 minutes

how do you solve this??

Answers

Answer:

4x+50=90 being complementary

4x=90-50

x=40/4=10

value of x=10°

Answer: 10

Step-by-step explanation:

50-90= 40

40/4 = 10

A quality control expert at a pretzel factory took a random sample of 101010 bags from a production run of over 500500500 bags and measured the amount of pretzels in each bag in the sample. The sample data were roughly symmetric with a mean of 450, and a standard deviation of 15
Based on this sample, which of the following is a 90%, percent confidence interval for the mean amount of pretzels per bag (in grams) in this production run?

Answers

Answer:

H0​:μ=440 g

Ha​:μ does not equal 440 g​

Step-by-step explanation:

kahn

The 90% confidence interval for the mean amount of pretzels per bag (in grams) in this production run for this case is  [441.31, 458.69] approximately.

How to calculate confidence interval for population mean for small sample?

If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.

Let the sample mean given as [tex]\overline{x}[/tex] andThe sample standard deviation s, andThe sample size = n, and The level of significance = [tex]\alpha[/tex]

Then, we get the confidence interval in between the limits

[tex]\overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}[/tex]

where [tex]t_{\alpha/2}[/tex] is the critical value of 't' that can be found online or from tabulated values of critical value for specific level of significance and degree of freedom n - 1.

For this  case, we're provided;

The sample mean given as [tex]\overline{x}[/tex] = 450The sample standard deviation s = 15The sample size = n = 10The level of significance = [tex]\alpha[/tex] = 100 - 90% = 10% = 0.1

The critical value of t  at level of significance 0.1 iand at degree of freedom 10-1=9 is:

Thus, the confidence interval in between the limits

[tex]450 \pm 1.833 \times \dfrac{15}{\sqrt{10}}[/tex]

or

[tex]450 \pm 8.69[/tex] approximately or 441.31 to 458.69 or we write it as: [441.31, 458.69] approximately.

Thus, the 90% confidence interval for the mean amount of pretzels per bag (in grams) in this production run for this case is  [441.31, 458.69] approximately.

Learn more about confidence interval of population for small sample here:

https://brainly.com/question/13073610

Trigonometry, please answer ASAP, Convert the radian measure to degrees.
12

Answers

Um can u attach a photo of the question bc no one can see it

Answer:

687.549 deg

Step-by-step explanation:

12 rad = 687.549 deg


The perimeter of a rectangle is 20m and the length is x m find the
area of the rectangle in terms of x

Answers

Answer:

2(x+y)

Step-by-step explanation:

perimeter=20cm

length=x

Take the radius to be y

area of a rectangle=2(length+width)

therefore area of a rectangle=2(x+y)

Aiden works at a lab with a huge circular particle accelerator. It has a diameter of 8 kilometers. What is the accelerator's radius?

Answers

Step-by-step explanation:

Diameter = 2x Radius

Radius = 1/2 Diameter

[tex] = \frac{1}{2} \times 8 \\ = 4km[/tex]

Answer:

Hey mate!

The radius is 4km

Here's how:-

Diameter is 2 times the radius.

That means, the radius is half of the diameter.

So, radius equals 8 divided by 2.

Radius is 4cm.

Hope it helps!

If you have any more queries or didn't understand my answer, let me know in the comments so I can help you!

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

3.3

Step-by-step explanation:

5 cups of coffee and 2 bottles of water cost $12 4 cups of coffee and 7 bottles of water cost $15

help plss

Answers

Answer:

one cup of coffee costs $2, while one bottle of water costs $1

Step-by-step explanation:

We can represent this using two equations:

Variable x represents cups of coffee, and variable y represents bottles of water.

5x + 2y = 12

4x + 7y = 15

Your answer for the value of x and y should be

x = 2

y = 1

Therefore, one cup of coffee costs $2, while one bottle of water costs $1.

If Sarah has $6453 Dallors of food and has $135 Dollars on her. How much will she need to pay for her food?
A. 6318
B. 233
C. 4555
D None of the Above

Answers

Answer:

It will be A

Step-by-step explanation:

6453

- 135

--------

6318 dollars needed for Sarah's food.

Hope this helps!

the measure of ∠ABD is (0.12x+68)° and the measure of ∠CBD is (0.13x+24)°. Find the value of x.
PLS HELP
ILL GIVE ALOT OF POINTS

Answers

Answer:

could you add a form?

Step-by-step explanation:

Answer:

Step-by-step explanatio

Find the unit rate. Enter your answer as a mixed number.

A fertilizer covers 2/3 square foot in 1/4 hour.

The unit rate is
square feet per hour.

Answers

The answer to your question is 8/3 square feet per hour

Refering to #14, what is the approximate area of the lake where the resort has ownership responsibility? (Round your answer to the nearest hundredths) (Type in answer my F G F ZH = 71°.x=1.3. y = 20.0 . ZH = 71°,x= 3.0, y = 19.8 2H = 71°, x = 18.9, y 6.5 LH = 71°.x 6.5. y 18.9 14 A lakaside resort has ownership responsibility for the lako from each edge of their shoreline to the cantor of the roughly circular lake. The distance hom shore to the center of the lake is 130 meters and the central anglo respresenting the resorts Warship's 50° a What is the approudmate length of shoreline owned by the resort (Round your answer to the nearest hundredma) po in answer m)

Answers

The approximate area of the lake where the resort has ownership responsibility is 711.82 meters².

How to calculate the area

Area of sector = (central angle / 360°) * π * radius²

We know that the central angle is 50°, the radius is 130 meters, and π is approximately equal to 3.14.

Plugging these values into the formula, we get:

Area of sector = (50° / 360°) * 3.14 * 130²

Area of sector = 25/72 * 3.14 * 16900

Area of sector = 15750/22

Area of sector = 711.82 meters²

Therefore, the approximate area of the lake where the resort has ownership responsibility is 711.82 meters².

Learn more about area on

https://brainly.com/question/25292087

#SPJ4

A statistical analysis of the wait (in minutes) at the checkout line of a certain supermarket yields the probability distribution in the table. What is the probability of waiting more than 5 minute
?

Answers

The probability of waiting more than 5 minutes at the checkout line of a certain supermarket is 0.35.

This can be calculated by adding the probabilities of waiting 6 minutes (0.10) and 7 minutes (0.25).

The probability distribution table shows that the probability of waiting 0 minutes is 0.50, the probability of waiting 1 minute is 0.20, the probability of waiting 2 minutes is 0.10, and the probability of waiting 3 minutes is 0.05. The probability of waiting more than 5 minutes is the sum of the probabilities of waiting 6 minutes, 7 minutes, and so on. The probability of waiting 6 minutes is 0.10, and the probability of waiting 7 minutes is 0.25. Therefore, the probability of waiting more than 5 minutes is 0.10 + 0.25 = 0.35.

In other words, there is a 35% chance that a customer will wait more than 5 minutes at the checkout line of this supermarket.

To learn more about statistical analysis click brainly.com/question/14724376

#SPJ11

The effectiveness of a blood pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 42.2 for a sample of size 309 and standard deviation 10.7. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 99% confidence level) Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).

Answers

The 99% confidence interval for how much the drug will lower a typical patient's systolic blood pressure is approximately (40.6, 43.8).

How to determine the confidence interval

The formula for calculating the confidence interval is:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

we need to find the critical value associated with a 99% confidence level. Since the sample size is large (n = 309), we can use the z-distribution.

The critical value for a 99% confidence level is approximately 2.576.

Next, we need to calculate the standard error using the formula:

Standard Error = Standard Deviation / √(Sample Size)

Standard Error = 10.7 / √309

Now we can calculate the confidence interval:

Confidence Interval = 42.2 ± (2.576 * (10.7 / √309))

Calculating the values:

Confidence Interval = 42.2 ± (2.576 * 0.609)

Confidence Interval ≈ 42.2 ± 1.570

Therefore, the 99% confidence interval for how much the drug will lower a typical patient's systolic blood pressure is approximately (40.6, 43.8).

Learn more about confidence interval at https://brainly.com/question/15712887

#SPJ1

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

I cannot see the picture

Step-by-step explanation:

Other Questions
A rectangular dining room has a perimeter of 28 meters and an area of 49 square meters.What are the dimensions of the dining room? explain socialism, capitalism and mixed economy with their features advantages and disadvantages Help slove this problems The circle graph shows the results of a survey about favorite hobbies. A total of 1,000 peoplewere surveyed.Favorite Hobbies8%Scrapbooking24%Playing Sports16%Collecting22%Cooking12%Reading18%Travelinga. How many selected traveling as their favorite hobby? Indicate whether each of the following people is frictionally unemployed, structurally unemployed, seasonally unemployed, cyclically unemployed or not officially unemployed.A woman who quits her job an a firm's accounting department to find work with better pay/benefitsA former automotive worker, replaced by robotic equipment, looking for work. How many times greater is the value of the 8 in 382,000 than the value of the 8 in 38,200 29 of the 42 athletes who participated inthe parkrun were female. Determinethe probability of randomly selectinga male athlete from this group. PLEASE HELP! THIS IS PART OF A PROJECT THAT'S DUE TODAY THAT I HAVEN'T STARTED ON!!!! I'LL GIVE BRAINLIEST!!!! NO LINKS AND NO USING ME FOR POINTS!!!!Can someone create a short summary of Thomas Jefferson's outlook of the Whiskey Rebellion and what he would say to Alexander Hamilton on why it was bad? What is the term used to describe theforce pushing on an area or surface?A. densityB. pressureC. surface tensionD. volume The layer of the atmosphere that contains weather is the (1 point)stratosphereasthenospheremesospheretroposphere What value of x makes this equation true?0.8x + 14 = 3.8x - 16 PLEASE ANSWER FAST!Complete the square. Fill in the number that makes the polynomial a perfect square quadratic. m - 16m + c. Find the value of c. If Morgan Industries issued a Credit Memorandum on January 20 for a return of $1,100 of merchandise purchased on account by Doug Bowen, plus 6 percent sales tax, the credit memorandum total would be: what is a scienctific theory make p the subject of the relation 3t-pqq=2(pn) 7 3.5 points Inventory records for Marvin Company revealed the following: Number Unit Date Transaction of Units Cost 930 $7.22 Mar. 1 Beginning inventory Mar.10 Purchase 570 7.71 Mar. 16 Purchase 770 Failure of market outcomes occurs when:O there are market failures such as externalities. O there are no market failures but the market is not achieving society's goals.O the market outcome is not efficient. O the market outcome is not Pareto optimal. 33.6252768.48[4 * (4 + 3)] - 3[17 5) = 3] x 2(5.4 + 3) * (6-2)[9= 3 +6] * 3DDDDD.0(4 +3.2) * [(9 - 2) + 2.5] Measure of how high or low a sound is PLSSSS HELP I'LL GIVE YOU BRAINLIEST A university class has 10 students enrolled, 4 of whom are juniors.What is the probability that a randomly chosen student will be a junior?Write your answer as a fraction or whole number and explain how you solve the problem.