Please help me. It's literally math!

Find the exact two values for this problem in radians.

[tex]Cos x = 1/3[/tex]

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

given function: [tex]Cos(x)=\frac{1}{3}[/tex]

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Cosine - (In a right triangle, the ratio of the length of the adjacent side to the length of the hypotenuse.)

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#1: Take the inverse cosine of both sides of the equation to extract [tex]x[/tex] from inside the cosine.

[tex]x=arccos\frac{1}{3}[/tex]

#2: Evaluate

[tex]x=1.23095941[/tex]

#3: The cosine function is positive in the first and fourth quadrants. To find the second solution, subtract the reference angle from [tex]2[/tex]π to find the solution in the fourth quadrant.

[tex]x=2(3.14159265)-1.23095941[/tex]

#4: Simplify the equation above.

- Multiply [tex]2[/tex] by [tex]3.14159265[/tex]

[tex]x=6.2831853-1.23095941[/tex]

- Subtract [tex]1.23095941[/tex] from [tex]6.2831853[/tex]

[tex]x=5.05222588[/tex]

#5: Find the period.

- The period of the function can be calculated using [tex]\frac{2\pi }{|b|}[/tex].

[tex]\frac{2\pi }{|b|}[/tex]

- Replace [tex]b[/tex] with [tex]1[/tex]  in the formula for period.

[tex]\frac{2\pi }{|1|}[/tex]

#6: Solve the equation.

- The absolute value is the distance between a number and zero. The distance between [tex]0[/tex] and [tex]1[/tex] is [tex]1[/tex].

[tex]\frac{2\pi }{1}[/tex]

- Divide [tex]2\pi[/tex] by [tex]1.[/tex]

[tex]2\pi[/tex]

The period of the [tex]cos(x)[/tex] function is [tex]2\pi[/tex] so values will repeat every [tex]2\pi[/tex] radians in both directions.

[tex]x=1.23095941+2\pi n,5.05222588+2\pi n[/tex], for any integer [tex]n[/tex]


Related Questions

3. Convert the following measurements:
a. 16 mg =
g|
b. 4.7 kg =
g
c. 12,345 g =
kg
d. 2 g =
mg


Please explain it I’m
Slow

Answers

I. Wish someone could explain it I’m also slow

A car traveled 261 miles on 9 gallons of gas. The same car also traveled 145 miles on 5 gallons of gas. If the ordered pairs for this relationship are (gallons,
distance), what is the slope of the line through these two ordered pairs?

Answers

Answer:

slope = 29

Step-by-step explanation:

Given that

the ordered pairs for this relationship are (gallons,  distance)

it means on coordinate plane

x represents gallons

y represents distance

thus,

two point on plane will be

A car traveled 261 miles on 9 gallons of gas

miles = 261 ---let it be represented by x1

gallons = 9---let it be represented by y1

(x1,y1) = (9,261)

miles = 145 ---let it be represented by x2

gallons = 5---let it be represented by y2

(x2,y2) = (5,145)

slope of two points (x1,y1) and (x2,y2) is given by

slope = m = (y2-y1)/(x2-x1)

thus, slope of the above ordered pair

m = (145-261)/(5-9) = -116/-4 = 29

Thus, slope of the line through these two ordered pairs is 29.

Hello could someone help me? Giving brainliest!!!

Answers

Answer:

AB ~= AB by Reflexive Property

Step-by-step explanation:

see attached

What is the approximate volume of the cone? Use 227
22
7
for π. Enter your answer in the box.

Answers

Answer :

132 cm³.

Explanation :

We know,

[tex]{ \longrightarrow \bf \qquad { { Volume_{(cone) }= \dfrac{1}{3} \pi {r}^{2}h }}}

[/tex]

Where,

r is the base radius of the cone.

h is the height of the cone.

Here,

Radius of the cone is 3 cm .

Height of the cone is 14 cm .

We will take the value of π as [tex] \sf \: \dfrac{22}{7} [/tex]

Substituting the value in the formula :

[tex]{ \longrightarrow \sf \qquad { { Volume_{(cone) }= \dfrac{1}{3} \times \dfrac{22}{7} \times {3}^{2} \times 14 }}}[/tex]

[tex]{ \longrightarrow \sf \qquad { { Volume_{(cone) }= \dfrac{1}{ \cancel3} \times \dfrac{22}{ \cancel7} \times { \cancel9} \times \cancel{14 }}}}[/tex]

[tex]{ \longrightarrow \sf \qquad { { Volume_{(cone) }= 1 \times 22 \times 3 \times 2 }}}[/tex]

[tex]{ \longrightarrow \sf \qquad { { Volume_{(cone) }= 1 \times 22 \times 6 }}}[/tex]

[tex]{ \longrightarrow{ \pmb {\mathfrak {\qquad { Volume_{(cone) }= 132 }}}}}[/tex]

Therefore,

The volume of the cone is 132 cm approximately .

Question :-

Calculate the Volume of Cone, if the following dimensions are Radius as 3 cm and Height as 14 cm .

Answer :-

Volume of Cone is 132 cm .

Explanation :-

As per the provided information in the given question, we have been given that the Radius of the Cone is 3 cm . Its Height is given as 14 cm . And, we have been asked to calculate the Volume of the Cone .

For calculating the Volume , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: Volume \: _{Cone} \: = \: \frac{1}{3} \: \pi {r}^{2} h \: }} [/tex]

Where ,

R denotes to the RadiusH denotes to the Height

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \: \sf{Volume \: _{Cone} \: = \: \dfrac{1}{3} \: \times \: \pi \: \times \: {r}^{2} \: \times \: h } [/tex]

[tex] \longmapsto \: \: \sf{Volume \: _{Cone} \: = \: \dfrac{1}{3} \: \times \: \dfrac{22}{7} \: \times \: ( {3})^{2} \: \times \: 14 } \\ [/tex]

[tex] \longmapsto \: \: \sf{Volume \: _{Cone} \: = \: \dfrac{1}{3} \: \times \: \dfrac{22}{7} \: \times \: 9 \: \times \: 14 } \\ [/tex]

[tex] \longmapsto \: \: \sf{Volume \: _{Cone} \: = \: \dfrac {1}{1} \: \times \: \dfrac {22}{1} \: \times \: 3 \: \times \: 2 } [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cone} \: = \: 1 \times \: 22 \: \times \: 3 \: \times \: 2} [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cone} \: = \: 1 \times \: 22 \: \times \: 6} [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cone} \: = \: 22 \: \times \: 6} [/tex]

[tex] \longmapsto \: \: \bf {Volume \: _{Cone} \: = \: 132 \: cm } [/tex]

Hence :-

Volume of Cone = 132 cm .

[tex] \underline {\rule {200pt} {4pt}} [/tex]

If you place a 33-foot ladder against the top of a building and the bottom of the ladder is 26 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

Answers

Answer:

  20.3 ft

Step-by-step explanation:

You want to know the height of a building if a 33 ft ladder reaches from the top of the building to a point 26 ft from the bottom of the building.

Right triangle

The geometry can be modeled by a right triangle with hypotenuse 33 ft and one leg of 26 ft. The other leg length (the building height) is found using the Pythagorean theorem.

  26² + h² = 33²

  h = √(33² -26²) ≈ 20.3 . . . . ft

The building is about 20.3 feet high.

__

Additional comment

This ladder makes an angle of about 38° with the ground. For ladder safety, an angle around 70° is usually recommended.

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What is the slope of the line that passes through the points (-9, -7) and (-11, -6) Write your answer in simplest form.

Answers

Answer:

y = -0.5x – 11.5

so the slop is -1/2

this means it goes down by 1/2 every time

-0.5

Hope This Helps!!!

11x11x11x11x11=
Enter the expression using exponents

Answers

Answer:

11^5

Step-by-step explanation:

you count how many 11's there are

i need to know the answers to these 2 questions ASAP. will name brainliest

Answers

what are your questions ? there is not pictures nor questions in order to answer

You have a subtotal of $32.75 at an online clothing store. You want to spend at least $75 to get free shipping. Write an inequality that represents the
amount of money m you can still spend to get free shipping.

Answers

Answer:

Step-by-step explanation:

32.75 + m =75

A:If the greatest unit cubes in a solid is 8. B:The least number of unit cubes is 1. What would the front view of both solids in parts A and b

Answers

Answer:

this question is confusing

Can some one explain me​

Answers

Answer:

the equation formula is y=mx+c

Step-by-step explanation:

the slope also represent a gradient

while the y intercept form equation is

x, o

o, y

The image is not drawn to scale.

Which is the measure of ∠A?

Answers

Answer:

Step-by-step explanation:

What is the answer to this?

Answers

To find the y-intercept substitute x as 0

[tex]y = 1 \times {0}^{2} + 7 \times 0 - 5[/tex]

[tex]y = 1 \times 0 + 0 - 5[/tex]

[tex]y = 0 + 0 - 5[/tex]

[tex]y = - 5[/tex]

Thus, The y-intercept is -5...~
Explanation:

We know that:

The y-intercept of an equation is the constant. Constants are the numerals in the equation.

Finding the y-intercept.

In the equation provided, we can see only one constant.

=> y = 1x² + 7x - 5

Thus, the y-intercept is -5.

Anyone know how to do this IXL

Answers

Answer:

Yes, y=1

Step-by-step explanation:

So, QT and ST are congruent (equal to each other)

So, we just set the values equal to each other too

9y=y+8

subtract y from both sides, and you get:

8y=8

divide both sides by 8 and you get:

y=8

How many variables are in this expression? y + 5x - 10

Answers

Answer:

2

Y and X are numerical and algebraic values to substitute missing numbers or shorten equations.

At a carnival, a customer notices that a prize wheel has 5 equal parts, one of which is labeled "winner. " She would like to conduct a simulation to determine how many spins it would take for the wheel to land on "winner. " She assigns the digits to the outcomes.




0, 1 = winner


2-9 = not a winner


How can a random number table be used to simulate one trial of this situation?


A) Read 100 single-digit numbers. Count the number of 0s and 1s.

B) Read single-digit numbers until finding the first 0 or 1. Count the number of 0s and 1s.

C) Read single-digit numbers until finding the first 0 or 1. Count the number of digits needed to get the first 0 or 1.

D) Read 100 single-digit numbers. Count the number of digits needed to get a 0 and the number of digits needed to get a 1

Answers

Considering the probability concept, a random number table could be used as follows:

C) Read single-digit numbers until finding the first 0 or 1. Count the number of digits needed to get the first 0 or 1.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we want to count the number of spins it takes to reach values of 0 or 1, when there are 10 possible outcomes, hence option C is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

The area of the base of a trapezoidal
prism is 95 cm2. The height of the prism is a
cm. What is the volume of the trapezoidal
prism? Describe how you determined your
solution.

Answers

Answer:

The surface area of a trapezoidal prism is the amount of area occupied by the surface of a trapezoidal prism. A trapezoidal prism is a three-dimensional solid that is made up of two trapezoids on opposite faces which are joined by four rectangles called the lateral faces. Like all three-dimensional shapes

Step-by-step explanation:

The area occupied by the surface of a trapezoidal prism is known as the surface area of a trapezoidal prism. Since the trapezoidal prism has a flat base, thus we can say that it has a total surface area and a curved surface area. The surface area of any three-dimensional geometrical shape is the sum of the surfaces of that enclosed solid which equals the areas of all of the faces. A trapezoidal prism has two trapezoidal faces four rectangular faces. Thus, the simple formula for calculating the surface area of a trapezoidal prism involves the area of the base, the perimeter of the base, and the slant height of any side of the prism. The surface area of any geometric figure is always measured in square units like cm2, m2, ft, or cubits2.

There are 630 students in Ben’s school. On a normal day, 30 % of the students ride bicycles to school. How many students ride bicycles to school on a normal day?

Answers

630 x 0.3 = 189

189 students ride bicycles to school on a normal day.

Which equation could be solved using this application of the quadratic formula? PLS HELP

Answers

Answer:

d)  [tex]2x^2+12x+4=13[/tex]

Step-by-step explanation:

Quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

The quadratic formula can be used to solve a quadratic equation in the form [tex]ax^2+bx+c=0[/tex]

From inspection of the given quadratic formula:

a = 2b = 12c = -9

Therefore, plugging these values into the general form of the quadratic equation:

[tex]2x^2+12x-9=0[/tex]

If we add 13 to both sides we get:

[tex]2x^2+12x+4=13[/tex]

Answer: D

Step-by-step explanation:

The quadratic formula helps you find the roots of a quadratic function, specifically where the function equals zero. In order for an equation to match the use of the quadratic formula shown, the value of 'b' must be +12. It also demands that 'a' must be +2, and 'c' must be -9. Answer D has all these prerequisites.

sammy begins her babysitting job with$30 in her bank account and earns $50 per week

Answers

Answer:

$30+$50x

Step-by-step explanation:

$30 that she has plus $50 plus x week(s)

CAN SOMEONE HELP ME What is the factored form of x2 – x – 2?

Answers

The factored from is (x-2)(x+1)

(x-2)(x+1) is the answer to your question

Noah orders an extra-large pizza. It costs $12.49 for the pizza plus $1.50 for each topping. He olders an extra-large pizza with t toppings that costs a total of d dollars. Select all of the equations that represent the relationship between the number of toppings t and total cost d of the pizza with t toppings.​

Answers

Answer:

B and E

Step-by-step explanation:

Which is an example of adjacent angles?

Answers

Answer:

the correct answer is B. 2 & 4

Answer:

2 and 4

Step-by-step explanation:

This is because adjacent angles are next to each other.

Find the measure of the missing angles

Answers

Answer:

Your answers are:

B: 147 degrees

C: 33 degrees

Step-by-step explanation:

a straight line is 180 degrees.

And b is 147 degrees, so 180 - 147 is 33 degrees.

Which choice shows a reflection across the x-axis?

A) A
B) B
C) C
D) D​

Answers

the answer is D :). “A” is a y axis reflection, “B” and “C” are just the points moving to a different part of the graph, while D is reflecting on the x axis as if it were a mirror.

Graph (D) indicates a reflection across the x-axis.

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

As we know that reflection across the x-axis is defined as reflecting a point across the y = x,  the x-coordinate, and y-coordinate places, and the line y = -x is the coordinates (x, -y).

So reflected across the x-axis: f(x) → -f(x),

⇒ (x,y) → (x , -y)

"A" is a y-axis reflection, "B" and "C" are basically points shifting to a different region of the graph, and "D" is a mirror reflection on the x-axis.

Hence, graph (D) shows a reflection across the x-axis.

To learn more about the transformations click here :

brainly.com/question/28029674

#SPJ5

how to do this question plz ​

Answers

Answer:

3.86

Step-by-step explanation:

To solve this problem, we can use sine of the angle 75(which as a reminder, is opposite over hypotenuse):

sin(75)=x/4

x=4*sin(75)

If you plug that into a calculator, you get approximately 3.86.

The picture below shows how to set up the triangle.

Which graph shows the correct graph of y=1/3x+2

Answers

This problem can be done by process of elimination.

Notice that in our equation, our slope is positive.

In all these graphs, we have a negative slope.

Slope just describes how steep a line is.

The only graph that has a positive or upward slope is D.

So this is our answer.

Answer:

D

Step-by-step explanation:

The y-intercept (the value of y when x =0) of this graph is y = 1/3(0) +2. So, (0, 2) should be the y-intercept. By looking at the graph of D you can tell that at point x = 0, y = 2. Also, the equation is written in the slope-intercept form (y =mx + b) The slope of this line is 1/3. If you choose any two points from the line and calculate the rise/ run by using the slope formula or by directly counting the units, you will find that it is indeed 1/3.

what is the value of BC in the given triangle?

Answers

Answer:

BC = 1.2, Option B

Step-by-step explanation:

1). Apply Law of Cosine: [tex]c^2=a^2+b^2-2ab\cdot cos(\gamma)[/tex]

   [tex]BC^2=AB^2+AC^2-2\cdot AB\cdot AC\cdot cos(\angle\ BAC)[/tex]

   [tex]AB=2\\AC=1\\\angle BAC=25[/tex]

2). [tex]BC^2=2^2+1^2-2\cdot 1\cdot cos(25)[/tex]

    [tex]BC=1.17[/tex]

does the flag have rotational symmetry?

Answers

Answer:

The triskelion appearing on the Isle of Man flag has rotational symmetry because it appears the same when rotated by one third of a full turn about its center. Because its appearance is identical in three distinct orientations, its rotational symmetry is three-fold.

the answer is first one

Which of the following is a geometric sequence? 0, 2, 6, 12, 72, . . . 4, 9, 14, 19, 24, . . . 1, 3, 9, 27, 81, . . .

Answers

Answer:4, 9, 14, 19, 24, . ... 1, 3, 9, 27, 81, is a geometric sequence. ... 0, 2, 6, 12, 72, does not have a set number it is multiplied or divided by each time.

Step-by-step explanation:

thats all

Answer: D.

1, 3, 9, 27, 81, . . .

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