Find cos theta if sin theta = 2/3. assume the terminal side of the angel falls in quadrant 2

Answers

Answer 1
Well knowing that the terminal arm of the standard position angle is in quadrant 2, we can determine the reference angle, in quadrant 2, by simply taking the difference between 180 and whatever the angle is.

So ø reference = 180 - ø in standard position.

Regardless, the reference angle is in quadrant 2, we need to then label the sides of the reference triangle based on the opposite and hypotenuse.

Solve for adjacent side using Pythagoras theorem.

A^2 = C^2 - B^2
A^2 = 3^2 - 2^2
A^2 = 9 - 4
A^2 =5
A = sq root of 5.

Then write the cos ratio using the new side.

Cos ø =✔️5/3. Place a negative in front of cos ø as cos is negative in second quadrant.

Related Questions

Find equation of the axis of symmetry of Y= -3x^2+12x-7

Answers

Look at the following attachment which explains more clearly...

Write an equation that models the sequence 400, 200, 100, 50, ...

Answers

x/2 is what i think it is because each number divides by 2
the answer is 0 
because..
the sequence goes up by 50, 100, 200

If x2 − 8xy + 12y2 = 8 and x − 6y = 3, then x − 2y =

Answers

I hope this helps you

A radio commercial for a loan company states: “You only pay $0.29 a day for
each $500 borrowed.” If you borrow $1,500 for 120 days, what amount will you
repay, and what annual interest rate is the company actually charging?

Answers

A loan of $1500 attracts a daily interest of 3(0.29) = $0.87
For 120 days you pay $0.87 x 120 = $104.40 interest.

I = PrT; where P is the principal, r is the annual interest rate and T is the time.
500 x r x 1/365 = 0.29
r = 0.29 x 365 / 500 = 105.85/500 = 0.2117

Therefore,, Annual interest rate = 21.17%
the amount that they charge for $ 1500 would be :

$0.29 x 3 = $ 0.87

Total charge for 120 days would be : 
$0.87 x $ 120 = $ 104.4

The amount that should be repaid : 1500 + 104.4   = 1604.4

Interest rate = 
a = p(1+rt)
1604.4 = 1500 ( 1 +  r*120/365)

r = 21.17 %

Hope this helps


"If a parallelogram has four right angles, then it is a rectangle." What is the inverse of this conditional statement? A. If a parallelogram has four right angles, then it is a rectangle. B. If a parallelogram does not have four right angles, then it is a rectangle. C. If a parallelogram has four right angles, then it is not a rectangle. D. If a parallelogram does not have four right angles, then it is not a rectangle.

Answers


D. If a parallelogram does not have four right angles, then it is not a rectangle.

Please give me the brainliest answer :)

Answer:

If a parallelogram does not have four right angles, then it is not a rectangle.

Step-by-step explanation:

"If a parallelogram has four right angles, then it is a rectangle."

To get the inverse of the conditional statement, we take the negation of both the hypothesis and the conclusion.

So, the inverse of the given statement will be :

If a parallelogram does not have four right angles, then it is not a rectangle.

tan^4x-sec^4x=1-2 sec^2(x)
verify

Answers

tan⁴x - sec⁴x = 1 - 2sec²x

tan²x = sec²x - 1

tan⁴x - sec⁴x = 1 - 2sec²x
(tan²x)² - sec⁴x = 1 - 2sec²x
(sec²x - 1)² - sec⁴x = 1 - 2sec²x

(sec²x)² - 2 * sec²x + 1 - sec⁴x = 1 - 2sec²x
sec⁴x - 2 sec²x + 1 - sec⁴x = 1 - 2sec²x

sec⁴x can be cancelled:
- 2 sec²x + 1 = 1 - 2sec²x

1 - 2sec²x = 1 - 2sec²x

A highway map of Ohio has a coordinate grid superimposed on top of the state. Springfield is at point (1, –4) and Columbus is at point (7, 1). The Springfield youth soccer team is going to Columbus to see a professional soccer match. The map shows a highway rest area halfway between the cities. What are the coordinates of the rest area? What is the distance between Springfield and Columbus? (One unit = 5.38 miles)

Answers

Find the midpoint of (1,-4) and (7,1) to find the rest stop. To do this add the x values and divide by 2, then add the y values and divide by 2. (4,-1.5) is the midpoint.
To find the distance, use the distance formula then multiply the result by 5.38. The distance is 42 miles

the area of a rectangle is 15x^2y^5. if the length is 5xy^3, what is the width?

Answers

I hope this helps you

what is the solution set of the equation?

8/x+2=(x+4)/(x-6)
a. {-12,4}
b. {12}
c. {4,6}
d. {-4,12}

Answers

it would be 12 (B)
thats i beleive the answer

Which of the following best describe perpendicular lines? A.lines that are not in the same plane B. Lines that meet at a 90* angle C. Lines that meet at a 45' angle D. Lines that are coplanar and do not intersect

Answers

A line is said to be perpendicular to another line if the two lines intersect at a right angle. An angle is said to be a right angle if its measure is 90 degrees.

The question is asking us to select the option which best describes a perpendicular lines.Among all the options given option B states :Lines that meet at a 90* angle.

Option B is the right answer.

The perpendicular lines are those lines that meet at a 90* angle. That is option B.

Perpendicular lines

Perpendicular lines are those lines that meet at an angle of 90°. To further explain the perpendicular lines, a diagram above is used.

Line AB is perpendicular to XY because AB and XY intersect each other at 90°.

Some of the characteristics of perpendicular lines include:

These lines always intersect at right angles.

Adjacent sides of a square and a rectangle are always perpendicular to each other

Therefore, perpendicular lines are those lines that meet at a 90* angle.

Learn more about perpendicular lines here:

https://brainly.com/question/11728330

What number represents the same amount as 2 hundreds 14 tens 3 ones

Answers

yes you are write it is 343

 200 hundreds            
 14   tens                             
+   3 ones
--------
 343

The representation of the given number will be given below such that it sum should be 343.

What is summation?

A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation.

There might simply be two terms, but there might also be 100,000 or a million. Summations exist with an infinite number of parameters.

The summation is to add or subtract any two or more terms by doing the operation.

The representation of 200, 14, and 3 will be

200 hundred            

14   tens                            

+   3 ones

--------------------

343

For more information about summation

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Can someone help me...again?

Answers

I think its no no yes yes but I am not 100% sure

Paco buys a carton of eggs. the carton has 2 rows of eggs. there are 6 eggs in each carton. how many eggs are in the carton

Answers

There will be 12 eggs in each carton.

The total number of eggs in the carton is 12, as there are 2 rows with 6 eggs each, and you calculate the total by multiplying these two numbers.

Paco buys a carton with 2 rows of eggs and there are 6 eggs in each row.

To find the total number of eggs in the carton, you multiply the number of rows by the number of eggs in each row: 2 rows× 6 eggs per row equals a total of 12 eggs in the carton.

So, in this case, the number is 12, and the unit is eggs.

The cost of a service call to fix a washing machine can be expressed by the linear function y=45x+35 where y represents the total cost and x represents the number of hours it takes to fix the machine. What does the slope represent?

a-the cost for each hour it takes to repair the machine
b=the cost for coming to look at the machine
c-the total cost for fixing the washing machine
d-the amount of time that it takes to arrive at the home to make the repairs

Answers

The slope represents the cost for each hour it takes to repair because following the y=mx+b template for an equation m= slope and in this problem 45 is in that place and it is being multiplied to x which has been stated as the hours taken to repair. this shows that 45 is sort of a rate price for each hours. the answer is A.

Answer:

The slope represents the cost for each hour it takes to repair the machine.

Step-by-step explanation:

We are given that  the cost of a service call to fix  a washing machine can be expressed by the linear function

[tex]y=45x+35[/tex]

Where

y=Total cost of  a service to fix  the machine.

x=Number of hours takes to fix the machine

We have to find that slope in this function what represents.

General equation of line is given by

[tex]y=mx+c[/tex]

Where m=Slope of line

c=y- intercept

Comparing the general equation with the given function

We get m=45,c=35

m=45 represents the cost for each hour it takes to repair the machine because when number of hours multiplied by 45 then we get total cost of x hours.

Hence, the slope represents the cost for each hour it takes to repair the machine.

what is the domain of the composite function G ( F ( x ) )

Answers

B x>2 .....................

SOLVE. integration of (1-v) /(1+v^2)

Answers

i think you have to first separate the integral:1/(1+v^2) + v/(1+v^2),
so the integral of the first term is ArcTan (v) and for the integral of the second term i recommend you to do a change of variable:

y= 1+v^2
 so
 dy= 2v
 and
v= dy/2and then you substitute:v/(1+v^2) = (1/2)(dy/y)
and the integral is
 (1/2) (In y)finally you plug in the initial variables:

(1/2)(In [1+v^2])

so the total integral is:

ArcTan (y) + (1/2)(In [1+v^2])

Answer:

[tex]tan^-1( v)  - \frac{1}{2} ln(1+{v}^2) +c[/tex] is the answer.

Step-by-step explanation:

∫[tex]\frac{1-v}{1+{v}^2} \\\frac{1}{1+{v}^2}- \frac{v}{1+{v}^2}}[/tex]

∫[tex]\frac{dv}{1+{v}^2}[/tex]-∫[tex]\frac{2v}{1+{v}^2}[/tex]dv

[tex]{tan}^{-1} (v)-\frac{1}{2} ln(1+{v}^2) +c[/tex]

Latonya bought flowers for her mother. She spent $45. Each tulip was $1 and each rose was $2. She bought 3 more tulips than roses.

Let t be the number of tulips. Which algebraic sentence would help you figure out how many tulips Latonya bought?

A. t + 2(t + 3) = 45
B. t + 2(t – 3) = 45
C. 2t (t + 3) = 45
D. -3t + 2t = 45

Answers

Lets start from scratch.
45 is the number of money she spent that means that right side of = sign is 45
let m represents number of roses.
we can write:

t*$1+ m*$2 = $45

Since she bought 3 more tulips than roses that means that m = t - 3

when we express m we get:

t + 2*(t-3) = 45

the answer is B.

Translate the phrase into a math expression.

Twenty divided by the sum of 4 and 1.

(1+4) ÷ 20

20 ÷ (1+4)

1 + (4÷20)

(20÷4) + 1

Answers

Answer:

[tex]\displaystyle 20 \div (1 + 4)[/tex]

Explanation:

It is EXACTLY how it sounds, and of course, you must include grouping symbols to separate both parts of the expression.

I am joyous to assist you anytime.

Tom gets $12 off a box of chocolates that had an original price of $48. What percentage is the discount ?

Answers

the discount percentage is %25


You can start off with 48/12 which equals 4. He got 1/4 off the box of chocolates.... 1/4 = 25% 
The discount is 25%  
Hope this helped :)

"The graph below shows the population of mice in an ecosystem where the mice are not allowed to enter or leave.


Which best describes the population at point A?
A.The death rate is higher than the birthrate.
B.The population is decreasing.
C.The birthrate is higher than the death rate.
D.It has reached carrying capacity"

Answers

Believe it's C.The birthrate is higher than the death rate.

The point marked A is the point where the birth rate is higher than the death rate.

What is birth rate/ death rate?

The term birth rate refers to the rate at which new organims are introduced into the population and the death rate refers to the rate at which individuals exit in the population.

In this case, when we observe the graph, we can see that the point marked A is the point where the birth rate is higher than the death rate.

Learn more about birth rate: https://brainly.com/question/1010345

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Find the measure of an angle whose measure is 18 degrees less than one-half of the measure of its complement.

If x represents the measure of the angle, then which of the following expressions would equal x?

90 - (0.5x - 18)

0.5(90 - x - 18)

0.5(90 - x) - 18

Answers

Ok let us see it this way:
If x is the measure of the angle we require 
The complement is 90 - x 
one half of the complement is therefore 0.5(90 - x) 
18 degrees less than one half of the measure of the complement is
0.5(90 - x) -18
I hope this can be of good use

Answer:

The answer is C, 0.5(90 - x) -18

Step-by-step explanation:

PRE-ALGEBRA HELPPPP!!

Answers

What do you neeeeeeeed? 

Answer:

yeet

Step-by-step explanation:

how do i work out sinx+2sinxcosx=0 in radians?

Answers

First factor out a sin(x)
[tex]sin x (1 + 2cos x) = 0[/tex]
Now you can split it into factors, where each factor = 0 and solve them separately.
[tex]sin x = 0 , 1 + 2cos x = 0[/tex]
[tex]sin x = 0 , cos x = -\frac{1}{2}[/tex]
You can use the unit circle to find the appropriate angles:(attached)
sin x = 0 when
[tex]x = 0, \pi [/tex]
cos x = -1/2  when 
[tex]x = \frac{2 \pi }{3}, \frac{4 \pi }{3} [/tex]


Geometry question help
15 pts will award brainliest if explained
Answer if you understand it only

Answers

a' is (4,-6)
b' is (0,1)
c' is (-2,-2)

what you do is to add 2 to every x number and subtract 4 from every y number:
Example (x+2,y-4)   So for A it would be (2+2,-2-4)

Hope this helps

1. A bag of chips costs $3.79 including tax Mr.Connor wants to purchase chips for his class and has a $15 budget. Write and inequality to solve for the number of bags of chips Mr.Connor can purchase with his budget

A. $15x > $3.79
B.$15x < $3.79
C $3.79 > $15
D. $3.79 < $15

(There is a flat line under all the greater than and less than signs)

2. A cab charges $1.75 for the first mile $0.25 for each additional mile. Write and solve an inequality to determine how many miles eddie can travel if he has $15

A. $1.75 + $0.25x < $15; x < 53 miles
B. $1.75 + $0.25x > $15; x >53 miles
C. $0.25 + $1.75x < $15; x< 8 miles
D.$0.25 + $1.75x > $15; x > 8 miles

Answers

1) Price for one bag is  3.79
price for x bags is x*3.79

since he has 15 dollars budget the inequality is:
3.79*x ≤ 15

2) the inequality is 1.75 + 0.25*x < 15 because every mile after first one costs 0.25. X miles after first one cost x*0.25 so we have to sum that price with price of first mile and that sum needs to be less than money that eddie has.

x < 53

Does this set of ordered pairs represent a function? Why or why not?

{(–2, 2), (–1, 2), (3, –1), (3, 1), (4, 11)}

A. Yes, because there are two x-values that are the same.

B. No, because two of the y-values are the same.

C. Yes, because every x-value corresponds to exactly one y-value.

D. No, because one x-value corresponds to two different y-values.

Answers

D. No, because one x-value corresponds to two different y-values.

What is the solution to the system of linear equations
A. (-3,0)
B. (-3,3)
C. (0,2)
D. (3,1)

Answers

the answer is c. (0,2)

oli has a volume of 9000cm3 and a density of 0.8g/cm3
what is the mass of the oil

for tomoz plz help

Answers

We know, mass = Density * Volume
 mass = 9000 * 0.8 g
mass = 7200 g = 7.2 Kg

So, you final answer is 7.2 Kg

Hope this helps!

How do I find dy/dx of the equation 4x^3-3xy^2+y^3=28 at the point (3,4)?

Answers

Final answer:

To find dy/dx of the equation 4x^3 - 3xy^2 + y^3 = 28 at the point (3,4), you can use implicit differentiation and solve for dy/dx.

Explanation:

To find dy/dx of the equation 4x^3 - 3xy^2 + y^3 = 28 at the point (3,4), we need to use implicit differentiation. We differentiate both sides of the equation with respect to x, treating y as a function of x. Thus, we get:

12x^2 - 3y^2 - 3x(2y(dy/dx)) + 3y^2(dy/dx) = 0

Now we substitute x = 3 and y = 4 into the equation and solve for dy/dx:

12(3)^2 - 3(4)^2 - 3(3)(2(4)(dy/dx)) + 3(4)^2(dy/dx) = 0

The table contains data on the mileage displayed on a bicycle odometer as it relates to the number of days since the bicycle was purchased. Using the Scatter Plot tool, find the value of the correlation coefficient for this data set.

0.8

1.0

0.3

0.1

Answers

Based on the given table above, and using the scatter plot tool, the value of the correlation coefficient for this data set would be r = 0.997, so if you round this off, you will get 1.0. So the answer for this would be the second option which is 1.0. I hope this is the answer that you are looking for. 

Answer:

Hence, the correlation coefficient is:

               r=1.0

Step-by-step explanation:

We know that the correlation coefficient ''r'' is calculated by the formula:

[tex]r=\dfrac{\sum{XY}}{\sqrt{\sum{X^2}\sum{Y^2}}}--------------(1)[/tex]

Let x denote the data point (Number of days since purchase)

Let y denote the data point (Mileage Displayed on odometer)

x         y        X=x-x'       Y=y-y'        XY         X²          Y²

15      67       -20            -95           1900     400      9025

25     122      -10            -40            400       100       1600

35     164        0               2               0           0            4

45     210       10             48             480       100       2304

55     247      20             85           1700       400      7225

x' be the mean of the data of the x-values.

[tex]x'=\dfrac{15+25+35+45+55}{5}\\\\\\x'=\dfrac{175}{5}\\\\\\x'=35[/tex]

Also let y' denote the mean of the y-values.

[tex]y'=\dfrac{67+122+164+210+247}{5}\\\\\\y'=\dfrac{810}{5}\\\\\\y'=162[/tex]

Now we have:

∑ XY=4480

∑ X²=1000

∑ Y²=20158

Hence, we put all the  values in the formula (1) to obtain:

r=0.997 which is close to 1.0

Also from the scatter plot we could observe that the relationship is linear and also strong positive relationship.

Hence, the correlation coefficient is 1.0

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