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]

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Answer 2

Answer

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

Step-by-step explanation:


Related Questions

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.

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

Answers

35+5-1 is the answer

hello how are you doing today

Answers

I am doing fine thanks bro.

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:

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

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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:

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

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

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

simplify this expression

Answers

Option B

If any doubt leave a comment

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

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

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

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 7x(-4) ? Please

Answers

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

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

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

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

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

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

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

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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.

HELP ME ON MY GEOMETRY PLEASEEEEE

Answers

Answer:

A

Step-by-step explanation:

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:


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

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

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:

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.

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.

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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

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

complete the sentence to explain how to multiply 4.56x1000

Answers

The answer is 4,560

4.56 X 1000

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

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

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