cos(3x) = 1

1. Using an appropriate inverse trigonometric expression, write an equation that defines the value of 3x

2. Solve this equation to find all possible values of the angle 3x

3. Use algebra to find all values of x between 0 and 2pi that satisfy this equation

Answers

Answer 1

Step-by-step explanation:

cos(3x) = 1

3x = 0 + 2kπ

x = 0 + 2kπ/3

x = 0, 2π/3, 4π/3, 2π


Related Questions

WILL GIVE BRAINLIEST ASAP NEEDED PLS ANSWER HELP



You need to create a fenced Off region of Land for cattle to graze. The grazing area must be a total of 500 square feet surrounded by a fence and in the shape of a regular polygon within this grazing area the length of the apothem must be 10 feet long.

Part. 1 find the total perimeter of the grazing area
Part 2. if the cost of the fence is $7.95 per linear foot how much will it cost to place a fence around the entire grazing area?
Part 3 - suppose this grazing area is 1/60 of an industrial grazing area for major industry farm. What is the total cost to build a fence around the entire land of the large scaled farm

Use property of proportions
show all work

Answers

Answer:

$47,520

Step-by-step explanation:

A.

the area of a polygon is/

A= perimeter X apothem /2

A=500

apothem = 10

500 = (P * 10)/2

P =100

B. 100*7.95 = $795

C.

60*100= 6,000

6,000 * $7.95=

$47,520

How many square feet of outdoor carpet will we need for this whole?

Answers

Answer:

44 ft^2

Step-by-step explanation:

Find the area of the whole rectangle first, and then subtract the area of the small black rectangle:

(12 ft)(4 ft) - (2 ft)(2 ft) =

  48 ft^2   -    4 ft^2

             44 ft^2 (answer)

A prize bag contains four country music CDs, eight pop music CDs, and five classic rock CDs. What is the probability of pulling out a classic rock CD and then, without replacing it, pulling out a country music CD? Express your answer in decimal form, rounded to the nearest hundredth.

Answers

Answer:

It is actually 0.07 on edge

Step-by-step explanation:

Got it right

The probability of pulling a classic rock CD is 0.71 and then without replacement probability of pulling Country side CD is 4.

What is Probability?

Probability is the chance that something will happen, or how likely it is that an event will occur.

Formula for the calculation of probability

Probability of an event to happen = [tex]\frac{number of favorable outcomes }{total number of outcomes}[/tex]

According to the given question

we have

a bag which contains ,

country music CDs = 4

pop music CDs = 8

classic rock CDs = 5

total number of CDs = 4+8+5 =17

probability of pulling a classic rock CD = [tex]\frac{5}{17}[/tex] =0.71

without replacing

total number of CDs left = 17-1 =16

probability of pulling a country music CD =[tex]\frac{4}{16}[/tex]=4

Hence, the probability of pulling a "classic rock CD" is 0.71 and then without replacing probability of pulling "country music CD" is 4

Learn more about the probability here:

https://brainly.in/question/5372704

#SPJ2

Choose the slope and y intercept that correspond with the graph

Answers

Answer:

slope=2/3 y-intercept is 1

Answer:

Slope: 2/3 y-intercept: 1

Step-by-step explanation:

The graph crosses the y-axis at 1 and goes right 3 and up 2. slope is rise over run so it rises 2 and runs 3.

A parabola, with a vertex at (−4, 32), is defined by f(x)=−x2+bx+c (where b and c are some numbers). f(x) and g(x) - its reflection about the origin, are defined for values of x such that f(x)≥0 and g(x)≤0. Find the intersection of the domains of the two functions.

Answers

Answer:

2 and 16

Step-by-step explanation:

PLEASE HELP?



Suppose the sphere below with radius r has a surface area equal to 50 units². find the surface area of the sphere with twice the radius.

Answers

Answer:

[tex]200$ unit^2[/tex]

Step-by-step explanation:

Surface Area of a Sphere[tex]=4\pi r^2[/tex]

Given that the surface area of a sphere is 50 units².

Then:

[tex]4\pi r^2 =50\\r^2=\dfrac{50}{4\pi}\\ r=\sqrt{\dfrac{50}{4\pi}}[/tex]

If a sphere has twice the radius of the sphere above

Its radius, [tex]r=2\sqrt{\dfrac{50}{4\pi}}[/tex]

Therefore its Surface Area

[tex]=4\pi\left(2\sqrt{\dfrac{50}{4\pi}}\right)^2\\=4\pi*4*\dfrac{50}{4\pi}}\\\\=200 unit^2[/tex]

Determine if sides of length 5 mm, 14 mm and 19 mm can form a triangle.

Answers

Answer:

no

Step-by-step explanation:

The third side has to be shorter than the sum of the other two sides

5+14 = 19

It is equal so they cannot form a triangle

The Triangle ABC represents a landscaped area inside a square land parcel. AC is parallel to a side of the square. Find AB

Answers

Answer:

6√5

Step-by-step explanation:

ABC is right triangle

if the length of hypotenuse is 18 ft and base is 12 ft. then the side length would be

18^2 - 12^2 = AB^2

324 - 144 =√180

AB = 6√5

I need help please!!!
Write the inequality that best represents the relationship shown on this number line:

Answers

Answer:

x ≥ -1

Step-by-step explanation:

the red fully circle in -1 show that -1 is include

the answer is x>-1 . hope this helped <3

A triangle is shown with its exterior angles. Angles 2, 6, and 4 are the interior angles. Angle 1 is the exterior angle at angle 2. Angle 5 is the exterior angle at angle 6. Angle 3 is the exterior angle at angle 4.

Which statements are always true regarding the diagram? Check all that apply.

m∠3 + m∠4 = 180°
m∠2 + m∠4 + m∠6 = 180°
m∠2 + m∠4 = m∠5
m∠1 + m∠2 = 90°
m∠4 + m∠6 = m∠2
m∠2 + m∠6 = m∠5

Answers

Answer the first three

Step-by-step explanation:

I Did it

Answer:

a,b,c

Step-by-step explanation:

a) m∠3 + m∠4 = 180°

b) m∠2 + m∠4 + m∠6 = 180°

c) m∠2 + m∠4 = m∠5

these are the correct answers  for edge 2020 geometry assignment; Triangle Angle Theorems

hope this helps!

You find a car that is on sale for $13,000. It was originally $19,000. What is the percent change?

Answers

Answer:

( About ) % 31.58

Step-by-step explanation:

Consider the procedure below;

[tex]Increased Value = $ 19,000 - $ 13,000 = Difference ( $ 6000 ),\\\\Take Fraction of difference / Start Value = 6,000 / 19,000,\\( Percent ) = ( Around ) 31.58\\[/tex]

Thus, solution; ( About ) % 31.58

does anyone know the answer to this ?

Answers

Answer:

1595 ft^2

Step-by-step explanation:

The answer is obtained by adding the areas of sectors of several circles.

1. Think of the rope being vertical going up from the corner where it is tied. It goes up along the 10-ft side. Now think of the length of the rope being a radius of a circle, rotate it counterclockwise until it is horizontal and is on top of the bottom 20-ft side. That area is 3/4 of a circle of radius 24.5 ft.

2. With the rope in this position, along the bottom 20-ft side, 4.5 ft of the rope stick out the right side of the barn. That amount if rope allows for a 1/4 circle of 4.5-ft radius on the right side of the barn.

3. With the rope in the position of 1. above, vertical and along the 10-ft left side, 14.5 ft of rope extend past the barn's 10-ft left wall. That extra 14.5 ft of rope are now the radius of a 1/4 circle along the upper 20-ft wall.

The area is the sum of the areas described above in numbers 1., 2., and 3.

total area = area 1 + area 2 + area 3

area of circle = (pi)r^2

total area = 3/4 * (pi)(24.5 ft)^2 + 1/4 * (pi)(4.5 ft)^2 + 1/4 * (pi)(14.5 ft)^2

total area = 1414.31 ft^2 + 15.90 ft^2 + 165.13 ft^2

total area = 1595.34 ft^2

Plz help asap, dhdhhsbdhd

Answers

Answer: The answer is 10.    X = 10.

Step-by-step explanation:

Answer:

[tex]x = 60 \: \: degrees[/tex]

Step-by-step explanation:

[tex]2x + 5 + x - 5 = 180 \\ 3x = 180 \\ \frac{3x}{3} = \frac{180}{3} \\ x = 60 \: \: degrees[/tex]

(sum of the Co- interior angles = 180 degrees)

hope this helps

brainliest appreciated

good luck! have a nice day!

Q10 A student wants to raise £100 for charity.
He will sell hot dogs at a disco.
The Supermarket
He will make 150 hot dogs.
Hot dog sausages tin of 8 50p
Hot dog buns packet of 6 90p
He buys ingredients at The Supermarket
If he sells all the hot dogs, what is the minimum price he must charge to make a profit of £100?
Show all your working​

Answers

Answer:

He must charge minimum £0.84 for one hot dog.

Step-by-step explanation:

Ingredients cost for hot dogs at the supermarket,

Price of dog sausages tin of 8 = 50p ≈ £0.5

Price of dog bun packs of 6 = 90p ≈ £0.90

Number of tins required for 150 hot dogs = [tex]\frac{150}{8}[/tex] = 6.25

So student will purchase 7 tins.

Cost of 7 tins = 7 × 0.5

                      = £3.5

Number of dog buns packets required = [tex]\frac{150}{6}[/tex] = 25

Cost of 25 packs = 25 × 0.9

                            = £22.5

Total cost of the material used for 150 buns = 22.5 + 3.5

                                                                         = £26.0

Let the selling price of each hot dog = £x

Then selling price of 150 hot dogs = £150x

Students wants the profit = £100

So, Selling price - Cost price = profit

150x - 26 = 100

150x = 126

x = [tex]\frac{126}{150}[/tex]

x = £0.84

Therefore, he must charge minimum £0.84 for one hot dog.

Solve the inequality for w.
49 > 41 +13

Answers

Answer:

greater than

Step-by-step explanation:

814 g O 8.14 kg

compare! PLS HELP BEST GETS BRAINLESST AND FOLLOW​

Answers

Wouldn’t the answer be just equal because 1,000kg = 1 gram so
The left is 10x bigger than the right.
814g is equal to 0.814kg (which is 814 divided by 1000) and 0.814kg times 10 is 8.14kg.

Mom and her siblings have inherited a 30000 (Square miles) of land. She has 9 sisters and 3 brothers. Each brother has inherited double what each sister has inherited. How many (Square miles) of land mom has inherited?

Answers

Answer:

1875 square miles

Step-by-step explanation:

There are a total of 10 women and 3 men. Let's define two variables:

w: land inherited by a womanm: land inherited by a man

Given that they inherited a 30000 (square miles) of land and that each brother has inherited double what each sister has inherited, we can establish the next equations:

2*w = m

10*w + 3*m = 30000

Replacing the first equation into the second one, and solving for w:

10*w + 3*2*w = 30000

16*w = 30000

w = 30000/16

w = 1875 square miles

Your mom, and all of her sisters, inherited 1875 square miles each

Given the equation (x + 3) ^ 2 + y ^ 2 = 81 choose ALL correct answers

1.The center of the circle would lie on the x-axis.

2. The center of the circle would lie on the y-axis.

3.The center of the circle would lie in a quadrant.

4. The radius is 9

5. The radius is 40.5

6.The radius is 81

7. The diameter is 18

8.The diameter is 81

9. The diameter is 162 Help please

Answers

Answer:

The equation of a circle having the center (a, b) and radius r could be formulated by:

(x - a)^2 + (y - b)^2 = r^2

A circle, which has equation form: (x + 3) ^ 2 + y ^ 2 = 81, can be turned into:

(x - -3)^2 + (y - 0)^2 = 9^2

=> center (-3, 0)

=> radius = 9

=> Option 1 is correct

=> Option 4 is correct

=> Option 7 is correct

Hope this helps!

:)

The diagram shows parallel lines cut by two transversal lines creating a triangle. Which statement can be made from the diagram?

Answers

Answer:the third one shows parallel lines cut by a transversal

Step-by-step explanation:

Answer:

B. m Angle A + 60° + 55° = 180°

Step-by-step explanation:

POGGERS

Jacob's little brother thinks that he could design a better lion enclosure than the one he sees at the zoo. He makes a drawing of his new and improved enclosure where every inch represents 25 feet. In his drawing the length of the rectangle is 7 ¼ inches. What is the actual length of the lion enclosure? The diagonal of the rectangle in his drawing is 10 ½ inches. What is the width of the enclosure in feet? What is the area of the enclosure in square feet?

Answers

Answer:

Step-by-step explanation:

Length

1 inch = 25 feet

7 1/4 inches = x feet

1 * x = 25 * 7 1/4

x = 25 * 7.25

Length = 181.25 feet

The length is 181.25

hypotenuse length

The diagonal = 10 1/2 inches

The diagonal = 10.5 inches

hypotenuse = 10.5 * 25 = 262.5 feet

Width

L^2 + W^2 = Diagonal^2

181.25² + W² = 262.5²

32851.5625 + W²  =  68906.25   Subtract 32851.5625 from both sides

W² =  68906.25 - 32851.5625

W^2 = 36054.6875                       Take the square root of both sides

W = 189.88

Area

Area = L * W

Area = 181.25 * 189.88

Area = 34415.88 square feet.

sove for x: -3x+2z=5

Answers

Answer:

x = -(5-2z)/3

Step-by-step explanation:

-3x+2z=5

Subtract 2z from each side

-3x+2z-2z=5-2z

-3x = 5-2z

Divide each side by -3

-3x/-3 = (5-2z)/-3

x = (5-2z)/-3

Answer:

x = 2 / 3z - 1 and 2 / 3

Step-by-step explanation:

Consider the steps below;

[tex]- 3x + 2z = 5 - Subtract 2z From Either Side of Equation,\\- 3x = 5 - 2z - Take - 3 Divided on Either Side,\\\\x = ( - 5 / 3 ) + 2 / 3z - ( Simplify ),\\x = - 1 \frac{ 2 }{ 3 } + 2 / 3z - Re - arrange,\\x = \frac{ 2 }{ 3 } z - 1 \frac{ 2 }{ 3 } \\\\Conclusion ; ( x = \frac{ 2 }{ 3 } z - 1 \frac{ 2 }{ 3 } )[/tex]

Solution ; x = 2 / 3z - 1 and 2 / 3

Please help me I don’t understand

Answers

Answer:

B

Step-by-step explanation:

LIST ALL THE NUMBER IN THE BOX PLOT

hope this helps:)

B.
I hope this helped!!

Nico and Albert are finishing up a science project. They measured the length in inches of three insects. They also found the average measurement of two more insects from a website.

Answers

Answer:

FIRST COMPLETE THE QUESTION

Nico and Albert are finishing up a science project. Tjeu measured the length in inches of three insects. They also found the average measurement of two more insects from a website. CONSIDERING THE DATA GIVEN (SEE ATTACHMENT BELOW), DETERMINE THE LISTS OF LENGTHS FROM SHORTEST TO LONGEST.

The list of lengths from shortest to longest is:

0.2 , 1/4 , 3/8 , 0.8 , 7/8

Step-by-step explanation:

Nico and Albert measures the length in inches of 3 insects i.

They also found the averages measurement of length of 2 more insects.

Now they have a total data which shows the data of 5 insects.

The data of 5 insects is given below:

3/8 = 0.375

1/4 = 0.25

7/8 = 0.875

0.8

0.2

The list is formed as follows:

0.2 , 0.25 , 0.375 , 0.8 , 0.875

or

0.2 , 1/4 , 3/8 , 0.8 , 7/8

Answer:

A

Step-by-step explanation:

Yolanda participated in a walkathon in which each kilometer walked raised $10 for charity. Her goal was to raise more than $300 on Saturday and Sunday. She raised $50 on Saturday. Which graph show all the distances, in kilometers, that Yolanda could have waled on Sunday to reach her goal?

Answers

Answer:

Step-by-step explanation:

C

What is the measure of BPU?
os
60
P
40
.
O A. 100
O B. 40
O C. 80°
O D. 60°

Answers

Answer:

80°

Step-by-step explanation:

SPO+OPA+APC= 180°

(Angles on a straight line sum up to 180)

60+OPA+40=180

OPA=180-100

=80°

So, BPU is also 80°

(Vertically opposite angles are always equal)

Answer:

80⁰

Step-by-step explanation:

SPU = CPR = 40⁰ ( vertically opposite)

BPU + 40 + 60 = 180⁰ (straight line angle)

BPU = 180 - 100

BPU = 80⁰

two similar bags contain the same number of red and blue balls
Sammy takes the first bag and he replaces 5 blue balls by 5 red balls. now the number of Red Balls is twice the number of blue balls
Rami holds the second bag and he takes 3 red balls from it now the number of the blue balls is twice the number of the red balls
designate by x the number of Red Ball and y the numbers of Blue Balls
(x and y are positive integers)
the system that models the text given above is:
a. x-2y=5
2x-y=6
b. x-2y=-15
2x-y=6
c. x-2y=-15
2x-y=-3​

Answers

The answer is B x-2y=-15

John earns
$59,800 a year. He is paid bi-weekly. What is his monthly pay?

Answers

Answer:

$4,983.33

Step-by-step explanation:

Bi weekly means every two weeks so he gets paid $2491.67 every two weeks. Multiply this by two and you get his monthly payment of $4,983.33

Please I need help with this ASAp...Thanks and will give you brainlist...

Answers

Answer:

Supplier A.

The mean is 67.28

A slide that Baker Park has a height of 10 feet and is 15 feet long. How high are you off the ground when you are 6 feet down the slide

Answers

Answer:

4 ft

Step-by-step explanation:

just look at the length of the slide and substract it.

10-6=4

Answer:

4ft would be the answer to your question.

Please help me with my algebra.

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

x+2y=3

5x-3y=2

Subtract 2y from both sides of the first equation to isolate x:

x=3-2y

Substitute this into the second equation:

5(3-2y)-3y=2

15-13y=2

y=1

x=1

Therefore, the correct answer is choice A. Hope this helps!

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