Imagine looking for a certain angle whose cosine is positive and whose sine is negative.

Part 1: Name the two quadrants in which cosine is positive.

Part 2: Name the quadrants in which sine is negative.

Part 3: Use the information in parts a and b to identify the quadrant in which cosine is positive and sine is negative.

Part 4: Write down one angle, in degrees, that has a negative sine and a positive cosine.

Part 5: Using your calculator, confirm your choice by writing the cosine of your angle and the sine of your angle below.

Answers

Answer 1

The two quadrants in which cosine is positive are the first quadrant (Q1) and the fourth quadrant (Q4).

How to explain the information

Part 2: The quadrants in which sine is negative are the third quadrant (Q3) and the fourth quadrant (Q4).

Part 3: Based on the information from parts 1 and 2, the quadrant in which cosine is positive and sine is negative is the fourth quadrant (Q4).

Part 4: One angle that has a negative sine and a positive cosine in the fourth quadrant is 135 degrees (or 3π/4 radians).

Part 5: Using a calculator, we can confirm the values of cosine and sine for 135 degrees:

Cosine of 135 degrees: cos(135°) ≈ -0.7071 (rounded to four decimal places)

Sine of 135 degrees: sin(135°) ≈ -0.7071 (rounded to four decimal places)

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Related Questions

(c) Write down the reciprocal of 20

Answers

Answer:

1/20

Step-by-step explanation:

The reciprocal just means that you flip the numerator & denominator. Any whole number always has a denominator of 1, so you just flip it to 1/20. Hope this helps!

hello!

In order to find the reciprocal of a number, we should flop it over.

Kindly consider the formula for additional details:-

[tex]\sf{The~reciprocal~of~a~is~\displaystyle\frac{1}{a}}[/tex]

According to the formula, the reciprocal of 20 is:-

[tex]\sf{The~reciprocal~of~20~is~\frac{1}{20}}[/tex]

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

In the LEFT column: Solve for y: 5 = –7y + 8

Answers

9514 1404 393

Answer:

  y = 3/7

Step-by-step explanation:

add 7y to both sides of the equation

  7y +5 = 8

Subtract 5 from both sides of the equation

  7y = 3

Divide both sides of the equation by 7

  y = 3/7

On a coordinate plane, how are the locations of the points (1 , -5) and (-1 , 5) related

Answers

Answer:

They are a transformation

Step-by-step explanation:

Checked using desmos graphing

A 2018 poll of 3603 randomly selected users of a social media site found that 1697 get most of their news about world events on the site. Research done in 2013 found that only 45​% of all the site users reported getting their news about world events on this site. a. Does this sample give evidence that the proportion of site users who get their world news on this site has changed since​ 2013

Answers

Answer:

Reject H0; there is significant evidence that the proportion of site users who get their world news on this site has changed since​ 2013 and is significantly different from 45%

Step-by-step explanation:

Sample size, n = 3603

x = 1697

Phat = x/n = 1697/3603 = 0.4709 =47.09%

H0 : p = 0.45

H1 : p > 0.45

The test statistic :

(phat - p) / sqrt[(p(1 - p)) /n]

(0.4709 - 0.45) / sqrt[(0.45(0.55))/3603]

0.0209 / 0.00828810932

Test statistic = 2.5217

The Pvalue :

Using the Pvalue from Test statistic calculator ; α = 0.05 ;

Pvalue at 95% confidence = 0.005839

Pvalue < α ;

Hence, we reject the Null

Therefore, we conclude that the sample gives evidence that the proportion of site users who get their world news on this site has changed since​ 2013.

A small box measures 7 in. by 10 in. by
3/4 in. high. Find the volume of the box.

Answers

Answer:

Volume = 52.5

Step-by-step explanation:

volume of a rectangular 3d shape can be calculated by length*width*height. In this case:

7*10*0.75 = 52.5

Find the equivalent equation

1. 4+ 4w
2 18w+9
3. 18+6x
4. 21x+42
5. 25x+45

Answers

Answer:

see below

Step-by-step explanation:

1. 4 + 4w

Take out a 4 from each term.4(1 + w)

2. 18w + 9

Take out a 9 from each term.9(2w + 1)

3. 18 + 6x

Take out a 6 from each term.6(3 + x)

4. 21x + 42

Take out a 21 from each term.21(x + 2)

5. 25x + 45

Take out a 5 from each term.5(5x + 9)

Hope this helps!

PLEASE HELP ILL GIVE BRAINLIEST!!!!

Which line plot displays a data set with an outlier?

(btw don't mind the one that's selected I accidentally pressed that)

Answers

The last one is correct.

Answer:

the graph selected

Step-by-step explanation:

If we look to the third graph we can see that all data are concetrated on the left part of the graph, but there is one that is on the right part, so it is an outlier

what is 16x <20 on a number line?

Answers

[tex]x < \frac{20}{16} = \frac{5}{4} = 1.25 \\ x < 1.25[/tex]

i hope it helps u :)

A spinner has six equal-sized sections numbered 1, 1, 2, 2, 3, and 4. What is the probability of spinning a 3?

Answers

Answer:

1/6 or 0.166666...

Step-by-step explanation:

1 out of 6, so 1/6

If you draw a triangle with angles that measure 95 degrees and 40 degrees, what will be the measure of the third angle?

Answers

Answer: 45°

Step-by-step explanation: All the angles of a triangle have to equal 180.

95 + 40 + x = 180

135 + x = 180

180-135 = 45.

The measure of two angles would be 35 and 45

Which statement is true?
4
O A. As the value of a positive number
increases, the absolute value of
the number decreases.
O B. As the value of a positive number
decreases, the absolute value of
the number increases.
O C. As the value of a negative number
increases, the absolute value of
the number decreases.
5
O D. As the value of a negative number
decreases, the absolute value of
the number decreases.

Answers

The answer is b it depends on the number

option D is true statement. that is the absolute value of the negative number will decreases with decreases in negative number.

What is Absolute value of a number?

Absolute value describes the distance from zero that a number is on the number line, without considering its direction that is the absolute value of a number is never negative.

In other words Absolute value is the modulus of any number.

A ) False :  the absolute value of the positive number will increase with increase in positive number.

B )  False :  the absolute value of the positive number will decreases with decreases in positive number.

C)   False :  the absolute value of the negative number will increase with increase in negative number.

D)  TRUE:  the absolute value of the negative number will decreases with decreases in negative number.

Therefore, option D is true.

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Select all statements that are true.
An acute triangle can be equilateral
An obtuse triangle can have more than one obtuse angle.
An equilateral triangle is always equiangular.
A right triangle can be scalene.
An acute triangle can be sosceles
A scalene triangle can be equilateral


Answers

The true statements are as follows

An acute triangle can be equilateral .An equilateral triangle is always equiangular. A right triangle can be scalene. An acute triangle can be isosceles.

The following statements considered to be false:

An obtuse triangle can have more than one obtuse angle.A scalene triangle can be equilateral.

Therefore, the above statements are considered true.

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A jar contains 5 yellow marbles numbered 1 to 5 and 12 blue marbles numbered 1 to 12. A marble is drawn from the jar. Find the probability the marble is even numbered given the marble is yellow.

Answers

Answer:

0.4 = 40% probability the marble is even numbered given the marble is yellow.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

There are 5 yellow marbles, which means that the number of total outcomes is [tex]T = 5[/tex]

2 of those(2 or 4) are even numbered, which means that the number of desired outcomes is [tex]D = 2[/tex]

Find the probability the marble is even numbered given the marble is yellow.

[tex]p = \frac{D}{T} = \frac{2}{5} = 0.4[/tex]

0.4 = 40% probability the marble is even numbered given the marble is yellow.

Solve the Following Inequality Select the possible range of solution to make the Statement True.

-6m < -24

Group of answer choices

1, 2, 3

-1, -2, -3

4, 5, 6

-, 4, -5, -6

Answers

Answer:

4, 5, 6

Step-by-step explanation:

- 6m < -24

-m < -4

m > 4

m has to be greater than 4

A warren of rabbits has a population of 350. The population is increasing at a rate of 3% per year. How can you write an exponential growth function to find the monthly growth rate? (I have other question pls help if you can)

Answers

The exponential growth function to find the monthly growth rate is:

[tex]P(t) = 350~ (1 + 0.02493)^t[/tex]

We have,

To write an exponential growth function to find the monthly growth rate, use the following formula:

[tex]P(t) = P_0 (1 + r)^t[/tex]

Where:

P(t) is the population at time t

P₀ is the initial population (350 in this case)

r is the growth rate per time period (monthly rate in this case)

t is the time in the corresponding time period

To find the monthly growth rate.

[tex]= (1 + r)^{1/12} - 1[/tex]

= [tex](1 + 0.03)^{1/12} - 1[/tex]

= 0.02493

= 2.493 %

Therefore,

The exponential growth function to find the monthly growth rate is:

[tex]P(t) = 350~ (1 + 0.02493)^t[/tex]

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The Wanting Recognition (WR) Scale provides a quantitative measure of a person's level of need for approval and sensitivity to social situations. A random sample of 100 convicted drug dealers was scoredf on the WR scale and produced a mean WR score of 39 and a standard deviation of 6. (a) Use this information, find an interval estimate of the mean WR score for all convicted drug dealers with 99% confidence level.

Answers

Answer:

99% of the confidence level  of the mean WR score for all convicted drug dealers

(37.4544, 40.5456)

Step-by-step explanation:

Step(i):-

Given that the sample size 'n' = 100

Given that the mean of the sample(x⁻) = 39

Given a standard deviation of the sample (σ) = 6

Level of significance = 0.01 or 99%

Step(ii):-

99% of the confidence level  of the mean WR score for all convicted drug dealers

[tex](x^{-} - Z_{0.01} \frac{S.D}{\sqrt{n} } ,x^{-} + Z_{0.01} \frac{S.D}{\sqrt{n} })[/tex]

[tex](39 -2.576 \frac{6}{\sqrt{100} } ,39 + 2.576 \frac{6}{\sqrt{100} })[/tex]

(39 - 1.5456 , 39+1.5456)

(37.4544, 40.5456)

Final answer:-

99% of the confidence level  of the mean WR score for all convicted drug dealers

(37.4544, 40.5456)

Summary information on the heights of 64 bass and 42 tenor singers, all men, in the New York Choral Society is given. The vocal range of bass voice part is lower in pitch than the alto voice part. Use 1% level of significance to determine whether the population mean height of bass singers is greater than the population mean height of tenor singers.

Answers

Answer:

Hello your question has some missing information below is the missing information

Sample mean  and Sample standard deviation

Bass 70.99  and   2.52

Tenor 69.41   and  2.79

answer : We will reject H0

Step-by-step explanation:

Determine whether the population mean height of bass singers > population mean height of tenor singers

n1 = 64 ,   n2 = 42

x1 ( mean ) = 70.99

x2( mean ) = 69.41

S1 ( std 1 ) = 2.52

S2 ( std 2 ) = 2.79

We will perform a two tailed test hence we will state the null and alternate hypothesis

H0 : μ1 > μ2

H1 : μ1 < μ2

significance level = 0.01

next calculate the test statistic

t = 2.96

attached below is the remaining part of the detailed solution

What is the range of the data below?



625, 638, 619, 677, 638, 659

Answers

Answer:

58

Step-by-step explanation:

The range is the difference between the highest and the lowest numbers in the number set.

The highest number in this set is 677 and the lowest number is 619.

677 - 619 = 58

Answer: Pls give brainliest ❤️ it would be 58.

Explanation: The range of a data set in statistics is the difference between the largest and the smallest values. While range does have different meanings within different areas of statistics and mathematics, this is its most basic definition, and is what is used by the provided calculator. Using the same example:

2,10,21,23,23,38,38
38 - 2 = 36
The range in this example is 36. Similarly to the mean, range can be significantly affected by extremely large or small values. Using the same example as previously:

2,10,21,23,23,38,38,1027892
The range in this case would be 1,027,890 compared to 36 in the previous case. As such, it is important to extensively analyze data sets to ensure that outliers are accounted for.

Verify the Identity.

tan²xsin²x = tan²x-sin²x

Answers

tan²(x) - sin²(x) = sin²(x)/cos²(x) - sin²(x)

… = sin²(x) (1/cos²(x) - 1)

… = sin²(x) (sec²(x) - 1)

… = sin²(x) tan²(x)

Answer 3. Pls pls ASAP pls pls

Answers

Answer:

a) no

b) yes

c) yes

d) no

Step-by-step explanation:

Question 5 of 10 How does a low credit score affect a person who applies for a loan? O A. It causes banks to charge the person higher interest rates on the loan. OB. It makes it easier for the person to get a loan with a poor debt-to- income ratio. O C. It allows banks to give the person a loan without checking his or her tax records. OD. It makes banks more likely to give the person a large, long-term loan. SUBMIT​

Answers

It's def not c or d, I think it's a.

Can someone please answer these two questions

Answers

Answer:

A.

Step-by-step explanation:

Please solve the question with steps.

Answers

9514 1404 393

Answer:

  c.  x + 6

Step-by-step explanation:

The factorization is ...

  x(x -3)(x -6)

The factor on the list that is not part of the above expression is (x +6).

_____

More detail

Factoring x from each term gives ...

  x(x^2 -9x +18)

Now, you're looking for factors of 18 that sum to -9. We know that 18=(-3)(-6) and that -3-6 = -9, so the remaining two factors are (x-3)(x-6).

  = x(x -3)(x -6)

Daphne has a preloaded games card that she is using to play games at the arcade as shown in the table.

How much did Daphne start with on her card?

by what amount does her card value change per game?

write an equation to represent the situation.​

Answers

Answer:

she starts with $25

every three games she spends $1.50 (.50 per game)

Step-by-step explanation:

i mean i cant really explain it, its kinda self explanatory

GIVING AWAY BRAINLIEST TO FIRST AND CORRECT ANSWER!!! Rewrite the following function in slope intercept form.

an=3+(n-1)(-6/7)

OPEN ENDED WHOEVER ANSWERS BEST GETS BRAINLIEST

Answers

Answer:

PP power

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

Slope = -6/7

(1,3) and (2,15/7) are points on the line.

y-3 = -(6/7)(x-1)

y = -(6/7)x + 21/7

if a sphere has radius of 13 centimeters what is the volume

Answers

The answer is 8788pi/3 Hope this helps! Mark brainly please!

ZABD and ZDBC are supplementary angles.
What is the measure of x?
X =
= [?]
D
AK
X/78°
B

Angles are not drawn to scale.
Enter

Answers

x=102°

Answer:

x+78=180 supplementary angle

x=180-78=102

16 ft
12 ft
4 ft
16ft
Area

Answers

Answer:

your answer is 48feet

Step-by-step explanation:

16+12+4+16=48ft

I hope this helps

have a nice day/night

mark brainliest please ")

What is the area of the irregular figure below?

A figure can be broken into a parallelogram and triangle. The parallelogram has a baes of 4 inches and height of 6 inches. The triangle has a base of 4 inches and height of 6 inches.
36 Inches squared
48 Inches squared
144 Inches squared
288 Inches squared

Answers

Answer:

B, 48 inches

Step-by-step explanation:

First calculate the area of the parallelogram: 4 x 6

4 x 6 = 24

Then calculate the area of the triangle: 4 x 6

4 x 6 = 24

Then you add the two areas: (4 x 6) x 2 or 24 x 2

24 x 2 = 48

Therefore, your answer is B, 48 inches

Answer:

36

Step-by-step explanation:

EL QUE ME AYUDE CON ESTO LE DOY CORONA ._.

TEMA : TEORIA DE EXPONENTES

- Al aplicar la ley de exponentes la expresión se reduce a:

Answers

Answer:

S = [tex]\frac{36}{25}[/tex]

Step-by-step explanation:

Given expression is,

S = [tex]\sqrt[3]{[(\frac{3}{2})^{-2}+6^{-3}+(\frac{3}{2})^{-3}-6^{-1}}]^{-2}[/tex]

S = [tex]\sqrt[3]{[(\frac{2}{3})^{2}+(\frac{1}{6})^{3}+(\frac{2}{3})^{3}-(\frac{1}{6})}]^{-2}[/tex]

   = [tex]\sqrt[3]{[\frac{4}{9}+\frac{1}{216}+\frac{8}{27}-\frac{1}{6}}]^{-2}[/tex]

   = [tex]\sqrt[3]{(\frac{96+1+64-36}{216})^{-2}}[/tex]

   = [tex]\sqrt[3]{(\frac{125}{216})^{-2}}[/tex]

   = [tex]\sqrt[3]{(\frac{216}{125})^{2}}[/tex]

   = [tex]\sqrt[3]{(\frac{216}{125})\times (\frac{216}{125})}[/tex]

   = [tex]\sqrt[3]{(\frac{6\times 6\times 6}{5\times 5\times 5})\times (\frac{6\times 6\times 6}{5\times 5\times 5})}[/tex]

   = [tex]\sqrt[3]{(\frac{6}{5})^3\times (\frac{6}{5})^3}[/tex]

   = [tex]\frac{6}{5}\times \frac{6}{5}[/tex]

   = [tex]\frac{36}{25}[/tex]

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number 1515) You want to have $3.5 million in real dollars in an account when you retire in 40 years. The nominal return on your investment is 14 percent and the inflation rate is 4.5 percent. What real amount Knowing how costs behave to change in the level of activity is useful to management for all the following reasons except for: predicting customer demand. predicting profits as sales and production volumes change. estimating costs. changing an existing product production which chart type is more commonly used for displaying relative strength between a stock and the market? If A is an 8 times 6 matrix, what is the largest possible rank of A? If A is a 6 times 8 matrix, what is the largest possible rank of A? Explain your answers. Select the correct choice below and fill in the answer box(es) to complete your choice. A. The rank of A is equal to the number of pivot positions in A. 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These investors can choose from three types of stock offering the following pretax payouts per share: Low Payout Medium Payout High Payout Dividends $ 8 $ 8 $ 35 Capital gains 18 8 0 These payoffs are expected to persist in perpetuity. The low-payout stocks have a total market value of $101.5 billion, the medium-payout stocks have a value of $51.5 billion, and the high-payout stocks have a value of $121.5 billion. a. Who are the marginal investors that determine the prices of the stocks? Individuals Corporations Institutions b. Suppose that this marginal group of investors requires an after-tax return of 12%. What are the prices of the low-, medium-, and high-payout stocks?(Do not round intermediate calculations. Round your answers to 2 decimal places.) Price of low-payout stock $ Price of medium-payout stock $ Price of high-payout stock $ c. Calculate the after-tax returns of the three types of stock for each investor group. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Institutions Individuals Corporations Low-payout stock % % % Medium-payout stock % % % High-payout stock % % % d. What are the dollar amounts of the three types of stock held by each investor group? (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.) Institutions Individuals Corporations Low-payout stock $ $ $ Medium-payout stock $ $ $ High-payout stock $ $ $ What is the maximum height to which a motorhaving a power rating of 20. 4 watts can lift a5. 00-kilogram stone vertically in 10. 0 seconds?(1) 0. 0416 m (3) 4. 16 m(2) 0. 408 m (4) 40. 8 m which statements are true in the long run for a company operating with negative economic profit and positive accounting profit?a. Operation is not sustainable.b. The firm will most likely stay in the market.c. Operation is sustainable but not advisable.d. The firm will most likely exit the market. _____________ popular French performer belonged to the Comedie Francaise, relied on instinct and inspiration in the moment and wore expensive contemporary fashions for every role. Choose your favourite brand and write a three paragraph story about it. Describe the brand's attributes, personality, and positioning? How do you feel about the brand? In other words, describe your emotions and beliefs about it. W Which of the following is not a legitimate factor influencing newsworthiness?TimingProximityHuman interestAdvertisers financial interests If the cost of an item of inventory is $60 and the current replacement cost is $65, the amount included in inventory according to the lower of cost or market is:a. $5b. $60c. $65d. $125