Angle A is in standard position and terminates in quadrant IV. If sec(A)=4 3 , complete the steps to find cot(A). Use the identity to find the value of (A).

Answers

Answer 1

If sec(A) = 4/3, then the value cot(A) is [tex]cot(A)=\frac{3\sqrt{7}}{7}[/tex]

The given trigonometric identity is:

[tex]sec(A)=\frac{4}{3}[/tex].........................(*)

Note that:

[tex]sec(A)=\frac{Hypotenuse}{Adjacent}[/tex].........................(**)

Comparing (*)  and (**)

Hypotenuse = 4

Adjacent = 3

Find the opposite using the Pythagoras theorem

Hypotenuse²  =  Opposite²  +  Adjacent²

4²   =  Opposite²  +  3²

Opposite² = 4²  -  3²

Opposite²  =  16 - 9

Opposite² = 7

Opposite = √7

cot(A) = Adjacent/Opposite

cot(A) = 3/√7

Rationalize the expression

[tex]cot(A)=\frac{3\sqrt{7}}{7}[/tex]

Learn more here: https://brainly.com/question/25913087

Answer 2

Answer

1A=B 1B=tan 2=B 3=A

Step-by-step explanation:


Related Questions

Blake gives piano lessons in the evenings. He earns $20 for each piano lesson and has between 0 and 6 lessons each evening. The amount he earns in an evening depends on the number of lessons he gives. What is the range of this relation?.

Answers

The range of the relation will be expressed as 0 ≤ g(x) ≤ 120

Let the number of lessons he gives be x

If he earns $20 for each piano lesson, the amount he will earn on x lessons will be $20x

Writing this as a function will give:

g(x) = 20x

where g(x) is the range of the relation.

If he has between 0 and 6 lessons each evening, the corresponding range at x = 0 and x = 6 is given as;

g(0) = 20(0) = 0g(6) = 20(6) = 120

Therefore the range of the relation will be expressed as 0 ≤ g(x) ≤ 120

Learn more on range of a function here: https://brainly.com/question/10878781

Answer: {0, 20, 40, 60, 80, 100, 120}

Step-by-step explanation: Remember we only use inequality signs for continuous relations with an infinite amount of values or data points or values or points. When we're given a set finite amount of data points we use brackets for this data because it is a discrete relation.

And for this problem we're looking for the range of the relation and recall the range is the dependent values or variables that depend on the domain or independent variables. The amount of money he earns depends on the amount of hours he works. Hence, the range is {0, 20, 40, 60, 80, 100, 120} the amount of possible money he can earn.

50 POINTS PLEASE HELPP
For which of the following inequalities, is 4
part of the solution set? Select all that
apply.
I A. x > -5
I B. 2 > x
C. 3x + 4 >-8
O D. 5x < 2x - 3
E. -6 < 4 - 2x

Answers

Answer:

a

Step-by-step explanation:

Answer:

A, C, and E

Step-by-step explanation:

Replace the x with 4 and do the math

on a map where each unit represent one kilometer, two marainas are located at p(4,2) and Q(8,12). if a boat travels in a straight line from one marina to the other, how far does the boat travel?

Answers

Answer: 5 kilometers.

Step-by-step explanation:

Can anyone help me with this asap thanks

Answers

Answer:

use the formula y=mx+c

Step-by-step explanation:

m is the gradient

c is the y axis intercept

What is the slope of this graph?
0.3
-3
los
1
3
3
1
2 3 4 5

Answers

Answer:

A

Step-by-step explanation:

Use the formula rise/run. The rise, in this case, was 3 and the run was 1. There for it would be 3/1 which is simplified to 3.

Which system of equations is graphed on the coordinate plane below?

Answers

Answer: 12,2

Step-by-step explanation:

Answer:

so the answer is TRUE

Step-by-step explanation:

I'm not sure how to explain but ik it it

help please.
with the steps
on image.

Answers

Answer:

T(n) = 3n² - 4-189 doesn't belong

Step-by-step explanation:

Given sequence:

-1, 8, 23, 44, 71

The first differences:

9, 15, 21, 27

The second differences:

6, 6, 6

If the sequence is T(n) = an² + bn + c, we have:

2a = 6 ⇒ a = 3

Using the first and second differences work out  the value of zero term:

9 - 6 = 3-1 - 3 = -4

This gives us c = - 4

Now we have:

T(n) = 3n² + bn - 4

The first term is T(1) = -1, substitute n = 1 and find the value of b:

3(1²) + b*1 - 4 = - 13 + b - 4 = - 1b = 0

The nth term is:

T(n) = 3n² - 4

Now lets find if -189 belongs to this sequence:

- 189 = 3n² - 43n² = - 185

The left side is positive and the right side is negative so the answer is also negative

Given the function g(x) = –11 + 12x + x over 3, evaluate g(4).

Answers

g(−3)=2

g(0) = 3g(0)=3

Step-by-step explanation:

Given

The attached graph

Required

Determine

g(-3)g(−3)

g(x) = 3g(x)=3

Since a graph has been provided, the question will be solved graphically;

Solving g(-3)

This implies that;

x = -3

And the interpretation is to solve for the y value when x = -3

From the attached graph;

When x = -3; y = 2

Hence;

g(-3) = 2g(−3)=2

Solving g(x) = 3

This implies that;

y = 3

And the interpretation is to solve for the x value when y = 3

From the attached graph;

When y = 3; x = 0

simplify this expression

Answers

Option B

If any doubt leave a comment

35 is more than the product of 5 and the difference of a number and 1.

Answers

35+5-1 is the answer

During a store's opening month, they sold 925 DVD's and 507 Blu-ray discs. Each month thereafter, the number of DVD's sold per month decreased by 12 while the number of Blu-ray discs sold per month increased by 26. Let d represent the number of discs sold and t represent the time in months.Write a system of equations

Answers

The system of equations representing the number of Blue-ray discs and DVD's after t months are:

507 + 26t

925 - 12t

Each month, the number of DVD's sold decreases by 12, this can be modelled as:

number of DVD in opening month - (monthly decrease x number of months)

Number of DVD's in t months = 925 - 12t

Each month, the number of Blue-ray discs sold increases by 26, this can be modelled as:

number of blue-ray discs in opening month + (monthly increase x number of months)

Number of Blue-ray discs in t months = 507 + 26t

To learn more about growth rate, please check: https://brainly.com/question/18760477

Simplify this question

Answers

[tex]\\ \sf\longmapsto √64+√-81-i^2[/tex]

[tex]\\ \sf\longmapsto 8+√81i-(-1)[/tex]

[tex]\\ \sf\longmapsto 8+9i+1[/tex]

[tex]\\ \sf\longmapsto 9i+9[/tex]

What is the slope of the line passing through(-7, 8) (-8, 8) is?

Answers

Answer:

Step-by-step explanation:

(-7, 8) (-8, 8)

(y2 - y1) / (x2 - x1)

(8 - 8) / (-8 + 7)

0 / -1

the slope is 0

you could also see this because the y value doesn't change

if the y value doesn't change the slope is 0, if the x value doesn't change the slope is undefined

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 7, 8 ) and (x₂, y₂ ) = (- 8, 8 )

m = [tex]\frac{8-8}{-8-(-7)}[/tex] = [tex]\frac{0}{-8+7}[/tex] = [tex]\frac{0}{-1}[/tex] = 0

Rita’s earnings are based on how many hours she works. Rita worked 22 hours and earned $379.50. What would Rita earn for working 52 hours?


Answers

Rita will earn $897 for working 52 hours.

Word problems in mathematics are mathematical operations that are applied to solve real life cases.

From the information given:

Rita's earnings are dependent on the hours she works

If Rita worked for 22 hours, she earns $379.50

Now, if Rita worked for 52 hours, the amount Rita will earn can be expressed by using the relation:

[tex]\mathbf{= \dfrac{52 \ hours \times \$379.50}{22 \ hours} }[/tex]

= $897

Learn more about word problems in mathematics here:

https://brainly.com/question/21405634

What is the equation of the line that passes through the point (5, 6) and has a slope
of 2

Answers

Answer:

y = 2x - 4

Step-by-step explanation:

Given:

x1 = 5

y1 = 6

slope (m) = 2

Solution:

y - y1 = m ( x - x1 )

y - 6 = 2 ( x - 5 )

y - 6 = 2x - 10

y = 2x - 10 + 6

y = 2x - 4

Can someone please take the time out of day to help me with this

Answers

Answer:

a. 54, b. 117, c. 63

Step-by-step explanation:

a. Angle 11 is corresponding to angle 1, which is linear to angle 2, which is 126 degrees. So angle 11 is 180 - 126 = 54 degrees

b. Angle 8 corresponds to angle 14, which is 117 degrees.

c. Angle 7 is linear to angle 8, so it is 180 - 117 = 63 degrees

Answer:

a or <11 is 54 degrees, b or <8 is 117 degrees, c or <7 is 63 degrees

Step-by-step explanation:

A. <2 = <12, <12 + <11 = 180, 180 - 126 = 54

B. <14 = <8, 117 = 117

C. <7 + <8 = 180, 180 - 117 = 63

A tram moved downward 9 meters per second for 54 seconds. What was the total change in the tram's elevation?

Answers

Answer:

6

Step-by-step explanation:

Answer:

-486

Step-by-step explanation:

Last year, 1,920 athletes finished the Cedarburg Marathon. This year, the number of runners
crossing the finish line was 15% lower. How many athletes finished the race this year?

Answers

Answer:

1,632

Step-by-step explanation:

the 15% of 1,920 is 288 subtract it to 1,920 so you'll get 1,362 is the number of athletes finished the race this year

complete the sentence to explain how to multiply 4.56x1000

Answers

The answer is 4,560

4.56 X 1000

A manufacturer is cutting plastic sheets to make rectangles that are 11.125 in. By 7.625 in. Each rectangles length and width must be within 0.005 in. Of the desire size . Write and solve inequalities to find the acceptable range for the length / and the width w

Answers

The inequalities to find the acceptable range for the length and the width w are - 0.005 ≤ l - 11.125 ≤ 0.005 and - 0.005 ≤ w - 7.625 ≤ 0.005 respectively.

length = 11.125 in

width = 7.625 in

Range of value must be less than orequal to 0.005 in

let

l = Length

w = width

Length inequality:

l - 11.125 ≤ 0.005

write as a compound inequality

- 0.005 ≤ l - 11.125 ≤ 0.005

Width inequality:

w - 7.625 ≤ 0.005

write as a compound inequality

- 0.005 ≤ w - 7.625 ≤ 0.005

Therefore, the inequalities to find the acceptable range for the length and the width w are - 0.005 ≤ l - 11.125 ≤ 0.005 and - 0.005 ≤ w - 7.625 ≤ 0.005 respectively.

Learn more about inequality:

https://brainly.com/question/11234618

Find the angle measure

Answers

<ABD and <EBC are equal  to each other. In order to solve for the x value, set the equations  equal to each other;

4x = 2x + 40,

x = 20

Based off what angle you are trying to find, you would plug x = 20 into the equation.

i need help pleassseee!!?

Answers

Step-by-step explanation:

Set up a proportion:

26.5/x = 17/58

Cross multiply and you get:

17x = 1537

x = 90.4

So the measure of PQ is 90.4

Answer:

90.41

Step-by-step explanation:

you need to apple the thales's theorem

which is the comparison like this

ML=PQ JM= QN

Then you multiply in a crossed way like this

26.5 times 58= 1537

then you need to divide it by 17

1537/17= 90.41

Layla is making a fruit salad for 5 friend. Each person gets 2/5 of a cup of strawberries. How many cups of strawberries does Layla need?

The market is selling a box of strawberries containing 2 cups

How many boxes does Layla need? Answer in decimal form

Answers

She needs 1 box of strawberries

She needs 2 cups of strawberries total

hello how are you doing today

Answers

I am doing fine thanks bro.

What is 7x(-4) ? Please

Answers

[tex]\mathfrak{7x(-4)} [/tex]

[tex]\mathfrak{=7x*-4} [/tex]

[tex]\boxed{\mathfrak{=-28x}} [/tex]

[tex]\mathbb{MIREU} [/tex]

I need help I have a test...!
Find the value of x in the figure:

Answers

Answer:

In first situation= =given angle + x=sum of angle of triangle. =110°+x=180°=70° X=70° Similarly, 2. condition can be solved i.e-x=144°

Step-by-step explanation:


Expand and simplify
3(4a - 5b) + 2(2a - 3b)

Answers

Answer:

a = 5/2

b = 1

I hope it correct

Step-by-step explanation:

Thank you

Answer:

answer is 5ab

Step-by-step explanation:

3(4a-5b)+2(2a-3b)

3(ab)+2(ab)

3ab +2ab

5ab

In the xy-plane, line k passes through the points (0, -4) and (1,-1). Which equation defines
line ?

Answers

Answer:

y=3x-4

Step-by-step explanation:

HELP ME ON MY GEOMETRY PLEASEEEEE

Answers

Answer:

A

Step-by-step explanation:

Please help me Find the slope and please help me no links or bots please and thank you please actually help

Answers

Answer: slope for that is 1/2

Step-by-step explanation: rise over run y2-y1 x2-x1

Other Questions
find the midpoint of CD with C(-4,5) and D(-1,-4). Pls answer rn due tmr pls pls fast How do you define inner beauty How does this compare to how you think the speaker defines inner Beaty- sonnet 5 URGENT simplify (5^3 x 5^5)^5 Hi! I'm looking for some proficient actually (accurate) responses. depending on the responses ill probably give brainliest to the most accurate one. What is an equation of the line that passes through the point (6,-4) and isperpendicular to the line 22 - y = 5? The French allow adolescents to drink at age 16. In America, the drinking age is 21. Eric wants to explore the reasoning behind this. He wonders what factors and beliefs influence these decisions for each country. What type of psychologist is MOST likely to investigate this scenario? A. a cultural psychologist B. a behavioral psychologist C. a cognitive psychologist D. a biological psychologist The overall condition of the way that groups of people lived is called .....A. EconomicsB. Standard of livingC. Happiness Index hand demand and private own The graph represents an object that is shot upwards from a tower and then falls to the ground. 1. How tall is the tower from which the object was shot?2. When did the object hit the ground?3. Estimate the greatest height the object reached and the time it took to reach that height. I indicate this situation on the graph. Harry had $32. He spent all the money buying three notebooks for x dollars each and four packs of index cards for y dollars each. If Harry had bought five notebooks and five packs of index cards, he would have run short by $18. The following system of equations models this scenario: 3x 4y = 32 5x 5y = 50 Use the system of equations to solve for x and y. (8, 2) (1, 5) (2, 8) (5, 1). What do you already know about gases? How do we become children of Abraham and sons of God? Which energy substance is a DIRECT source of energy used by the body to perform a multitude of functions, such as muscle contraction Answer my questions please! For the ones who knows and speaks SPANISH!! Please help! Which of the following impacts the heat level of a pepper? Peter has three daughters who are eligible students. What is the maximum amount of tax credit available to him under the American opportunity credit, assuming he meets all requirements im so confused please help me quickly Which of the following is medicine misuse?taking medication not prescribed for youtaking medication which was prescribed for you in the pastmixing medications with drugsall of the above PLEASE HELP QUESTION IN PICTURE 500 word essay on the great gatsby