Angle A terminates in the fourth quadrant with cosA= 4/5. The exact value of A is?

Answers

Answer 1

Answer:

324.13°

Step-by-step explanation:

Applying,

cosA = 4/5

To find the value of A, we find the inverse of the cosine of both side,

(cosA)cos⁻¹ = cos⁻¹(4/5)

A = cos⁻¹(0.8)

A = 36.87° (First quadrant)

The above value of A is its value in the first quadrant

To find the value of A in the fourth quadrant, we use the expression

∅₄ = 360-∅₁............... Equation 1

Where ∅₄= value of A in the fourth quadrant, ∅₁ = value of A in the first quadrant.

Therefore,

∅₄ = 360-36.87

∅₄ = 324.13°

Hence the value of A in the fourth quadrant is 324.13°


Related Questions

Find the volume of the given cylinder

Answers

Answer:

The answer is 32 I just know it

Sum of 2 fifths of x and 6x and 6 in algebraic expression​

Answers

Sum of 2 fifths of x and 6x and 6 in algebraic expression = 2/5 x +6x +6

Answer:

(14x+12)/5

Step-by-step explanation:

2 fifth of x = 2/5 * x= 2x/5

2 fifth of 6x = 2/5 * 6x = 12x/5

2 fifth of 6 = 2/5 * 6 = 12/5

2x/5 + 12x/5 + 12/5

= (2x+12x+12)/5

= (14x+12)/5

On a number line, the distance between x and 8 is 2 units.

Which equation can be used to determine the possible values for x?

Answers

Answer:

x+2=8

x+2_2=8_2

x=6

x=2*3

x=6

please help! I need to solve it algebraically and if you can show your work/explain how you got the answer that would help a ton because I need that to!

Answers

The answer is x=-10

Step-by-step explanation:

the reasoning is you do the inverse or opposite of three to both sides so you add +3 to both sides so the -3 and the +3 would cancel out then you would add +3 to the integer -23 and get -20 next is you divide by 2 on each side so you 2÷2 which would cancel out and then -20÷2 which would equal -10

Hence the answer is x=-10

2x+ (-3) = -23
2x + (-3) - (-3) = -23 - (-3)
2x = -23 + 3
2x = -20
2x/2 =-20/2
x = -10

this would be SSS correct ?

Answers

Answer:

Yes

Step-by-step explanation:

I think so

yes because there are three sides that are equal to each other consecutively

What is the surface area of a conical grain storage tank that has a height of 54 meters and a diameter of 18 meters round the answer to the nearest square meter

Answers

Answer:

1803 square meter

Step-by-step explanation:

The surface area of a cone

A=πr(r+V(h2+r2))

where A is the surface area, r is the radius and h is the height

Given that the height of 54 meters and a diameter of 18 meters, the radius is half the diameter hence

radius = 18/2 = 9 m

A = 9π (9 + V(54^2 + 9^2))

= 9π (9 + V2997)

= 9π (9 + 54.74486)

= 1803.068976 Square meters

To the nearest square meter

A = 1803

There were 300 adults and 180 children at a football game. What percent of the spectators were adults?

Answers

Answer:

62.5

Step-by-step explanation:

300+180=480

300/480×100

Divide 78 in the ratio 8 : 1 : 4

Answers

Answer:

78×8/13=48

78×1/13 =6

78×4/13=24

8:1:4

48:6:24

What is the next number in the pattern below? 6, 13, 21, 30, ____

Answers

Answer:

40

Step-by-step explanation:

6+7=13

13+8=21

21+9=30

30+10=40

2x-y=10 y=-4x+2 substitution method

Answers

Answer:

the solution is (2, -6)

Step-by-step explanation:

Substitute the second equation into the first, replacing y in the first:

2x - (-4x+2) = 10

Simplifying, we get:

2x + 4x - 2 = 10, or:

6x = 12, which yields x = 2.

Substituting 2 for x in the second equation yields y = -4(2) + 2 = 0, or y = -6

Then the solution is (2, -6).

What is the area of a circle with a radius of 3? Give your answer in terms of π.

Answers

Answer:

Step-by-step explanation:

the area of a circle =

π×r² = π×3² = 9π

radius=r=3

Area

πr²π(3)²9π units ²

hey! i’ll give brainliest help thanks

Answers

Answer:

incorrect because essential means important

Which of these best describes the circumference?
A The square root of the area of a circle
B. The ratio of the radius of a circle to its diameter
C. The radius of a circle times 3.14
D. The diameter of a circle times 3.14

Answers

Answer:

D

Step-by-step explanation:

Since the formula of circumference is 2πr

Just type it no files please help

Answers

Answer:

yes 4x5 is 4 rows of 5

Step-by-step explanation: brainiest

please

Answer is true 4×5 means 4 rows of 5

A store has shirts on display. Seven of the shirts are red. There are 5 more blue shirts than green shirts. There are 2 fewer yellow shirts than green shirts. If there are 28 shirts in​ all, how many shirts are there of each​ color? Ask for details Follow Report

Answers

Answer:

7 red shirts

6 green shirts

11 blue shirts

4 yellow shirts

Step-by-step explanation:

Let y represent the number of green shirts.

So y+5 is the number of blue shirts.

And y-2 is the number of yellow shirts.

And we have 5 red shirts.

Therefore,

7+5+y+y-2+y=28

12-2+3y=28

10+3y=28

3y=28-10

3y=18,divde through by 3

y=6


Kendall found that the solutions to a quadratic equation were -2 and 3. Which of the following descriptions of the quadratic equation are true? Select all that apply
А The x-intercepts of the graph are also - 2 and 3
B
The x-intercepts of the graph are 2 and 3)
C
The factors are (x - 2) and (x + 3).
D
The factors are (x + 2) and (x-3).
The equation is y six + 2)(x - 3),
The equation is y(x-2)(x + 3).

Answers

If the solutions to a quadratic equation were -2 and 3 then,

А. The x-intercepts of the graph are also - 2 and 3.

C. The factors are (x - 2) and (x + 3).

The equation is ax² + bx + c = 0 is x² = x - 6 = 0.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, The solutions to a quadratic equation were -2 and 3.

∴ The quadratic equation ax² + bx + c = (x + 2)(x - 3).

So,  The x-intercepts of the graph are also - 2 and 3.

The factors are (x - 2) and (x + 3).

The equation is ax² + bx + c = 0

=  (x + 2)(x - 3) = 0

= x² - 3x + 2x - 6 = 0

= x² = x - 6 = 0.

learn more about quadratic equations here :

https://brainly.com/question/17177510

#SPJ2

Help me please! No idea

Answers

Answer:

40

Step-by-step explanation:

Please help with this

Answers

Answer:

CORRECT STATEMENTS:

CD

Step-by-step explanation:

someone please help i need to be done with 34 assignments by tomorrow
i'm a whole month behind bc there was a family emergency and i had to fly out of state but now i'm behind

NO LINKS OR FILES

Answers

Answer:

y=2(x + 2))^2 - 9

Step-by-step explanation:

So, whenever two negative signs are right next to each other, they make a positive. However, when they are alone, they stay negative.

With this, y=2(x-(-2))^2 + (-9) --> y=2(x + 2))^2 -9

Item 3
A rectangle is 29 feet long and 7 feet long.

What is the area of this rectangle?


203 ft²

143 ft²

107 ft²

72 ft²

Answers

Answer: 203

Step-by-step explanation:

to find the area, you have to multiply the length of the sides together. 29x7 = 203

Mr. Jones has a box that is a right rectangular prism, It has a height of 2 inches, a width of 3 inches, and a volume of 30 cubic inches. How many inches long is Mr. Jones' box? *

Answers

Answer:

The box is 5 inches long.

Step-by-step explanation:

V=lwh

30=l(3)(2)

30=6l

30/6=l

5=l

In triangle RST, the measure of angle T=90°, the measure of angle R=82°, and TR=44 feet. Find the length of ST to the nearest tenth of a foot.

Answers

Answer:

[tex]x=6.183ft[/tex]

Step-by-step explanation:

From the question we are told that:

Angel of side [tex]T=90[/tex]

Angel of side [tex]R=82[/tex]

Length Side [tex]TR=44[/tex]

Generally the equation for Angle of side ST [tex]\theta[/tex] is mathematically given by

Since Angle in Triangle =180 therefore

 [tex]\theta=180-(90+82)[/tex]

 [tex]\theta=8[/tex]

Therefore Applying sine rule to get Length of ST x

 [tex]\frac{x}{sin\theta}=\frac{TR}{sin82}[/tex]

 [tex]x=\frac{44}{sin82}*sin8[/tex]

 [tex]x=6.183ft[/tex]

I need help I’ll give brainlist answer.

Answers

Answer:

All beside D

Step-by-step explanation:

f , what is the truncation error for S3?

0.016
0.031
0.219
0.234

Answers

Answer: it’s B, 0.031

Step-by-step explanation: edge 2021

What does this mean and what is the answer?

-3(-7)​

Answers

Answer:

-3 * -7 = 21

Step-by-step explanation:

-3(-7) = -3 * -7

Multiply

Remember: negative * negative = positive

So -3*-7 = 21

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

A 10ft by 10ft square garden contains a large walking path through the diagonal. What is the area of the walking path shown in the gray below?

Answers

64fts^2 is the answer

A two-factor between-subjects design is evaluated. The F-value for Factor A has df = 1, 40 and the F-value for Factor B has df = 3, 40. Based on this information, what are the df values for the A x B interaction?

Answers

Answer:

The df values for the A x B interaction are also 3,40

Step-by-step explanation:

The F-value for Factor A has df = 1, 40

The F-value for Factor B has df = 3, 40.

The df values for the A x B interaction are also 3,40

This is because the source of variation between columns has ( c- 1); rc(n-1) degrees of freedom and  the source of variation between  rows has (r-1); rc(n-1) degrees of freedom and the  source of variation of interaction

(between rows and columns)  has ( c-1) ( r-1); rc(n-1) degrees of freedom.

Therefore

Factor A:  ( c- 1); rc(n-1)    = 1,40

Factor B:    (r-1); rc(n-1)     = 3,40

Interaction : ( c-1) ( r-1); rc(n-1)   =  3*1,(40)= 3,40

where c refers to columns , r refers to rows and n refers to the total sample size.

If point A is between points Band C and AB = 26 and BC = 50, find AC.
24
66
78
16

Answers

Answer:

24

Step-by-step explanation:

if A is a point between B and C, then'

BA + AC = BC

GIven

AB = 26 and BC = 50

BA = 26

Substitute

26 + AC = 50

AC = 50 - 26

AC = 24

Hence thelength of AC is 24

A box is designed to hold pencils the front of the box will be made of a clear material for display. The rest of the box will be made from cardboard

Answers

Answer:

100 cm²

Step-by-step explanation:

Given that :

Length of prism = 20 cm

Height, h = 5cm

Width, w = 4 cm

The surface are of the side with clear material can be obtained by calculating the area of rectangule (front)

Area of rectangle = Length * height

Area = 20 * 5 = 100 cm²

4x + 8y = 20 and -4x + 2y = -30

Answers

Step-by-step explanation:

Given :-

4x + 8y = 20 -4x + 2y = -30

Adding the equations :-

[tex]: \implies[/tex] 10y = -10

[tex]: \implies[/tex] y = -1

Put it (i) :-

[tex]: \implies[/tex] 4x - 8 = 20

[tex]: \implies[/tex] 4x = 20 + 8

[tex]: \implies[/tex] 4x = 28

[tex]: \implies[/tex] x = 28/4

[tex]: \implies[/tex] x = 7

Other Questions
Which leader was most responsible for the spread of communism in China? Which factor contributes the most to the process of water erosion?A) evaporationB) gravityC) pressureD) temperatureHELP Which of the following lines is parallel to the line that passes through (-1, -3) and (5,0)? Graph the function.f(x)=4(3/2)^x definicion de cromatidas Will give brainliest GO FROM BLACK DOT TO BLACK DOT FOR CALCULATIONS TO BE ACCURATE1 BOX = 1 FOOTAcross the room are your 2 best friends Sara & JonLaying at the exact midpoint between them is /ythe perfect zombie killing potion. Unfortunately,Sara & Jon have both developed a taste for brains so they won'tbe much help. What are the coordinates of the potion?ROUND TO THE TENTHS the choices are soy eres es somos and son In business-related systems, ________ is becoming increasingly important as text-based applications such as electronic mail, bulletin boards, and information services are more widely used. Group of answer choices True or False: Organizational Patterns are how non-fiction texts are organized: compare/contrast, chronological order, or cause/effect. An obect is placed 20cm from a convex mirror of focal length 12cm. where does the image form? Which expression would you use to determine the missing number in the sequence? 12, ____, 26, 33, 40 As you are on the road practice driving or driving with your license, what are some situations or scenarios that you have noticed that we also learned in class? When hydrogen is burned, it reacts with oxygen and producesO carbon dioxideO waterO ollO hellum The speeds of cars on a given i street we are normally distributed with a mean of 72 miles per hour and a standard deviation of 3.2 miles per hour. What percent of drivers are traveling between 70 and 80 miles per hour based on this distribution While reading the article, jot down answers to these questions.How does a bill become a law? Put these events in order._____The bill is debated on the floor of the House._____The bill is marked up by a House committee._____The bill is passed by the House._____The bill is placed on the calendar by the Rules Committee._____The bill is proposed by a member of the House of Representatives. In a commercial setting, what is the average lifespan of a tree ? a. 150 years b. 75 yearsc. 13 yearsd. Forever Farmers Use the context to determine the definition of the underlined word. The conglomerates had a hand in most of the cities main projects. a. a foreign business c. a privately owned business b. a corporation engaging in many different kinds of business d. all of the above EASY GEOMETRY/10 POINTS/WILL MARK AS BRAINLISTWHICH IS NOT A PYTHAGOREAN TRIPLE The pastor divided the 3,000 circulars among 15 teenagers. How many circulars did each young person receive? (Write the explanation and answer) which of the following sentences from martin luther king, jr.'s nobel price acceptance speech best demonstrates king's hope for the future?a. i accept this award today with an abiding faith in america and an audacious faith in the future of mankind.b. every time i take a flight, i am always mindful of the many people who make a successful journey possible the known pilots and the unknown ground crew.c. i refuse to accept the cynical notion that nation after nation must spiral down a militaristic stairway into the bell of thermonuclear destruction. d. i accept the nobel prize for peace at a moment when 22 million negroes of the united states of america are engaged in a creative battle to end the long night of racial injustice.