In a circle, the length of an an arc intercepted by a central angle is 12mm, and the radius of the circle is a 8 mm. What is the measure, in radians, of the angle?

Answers

Answer 1

[tex]\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ s=12\\ r=8 \end{cases}\implies 12=8\theta \implies \cfrac{12}{8}=\theta \implies \cfrac{3}{2}=\theta[/tex]


Related Questions

50/13 rounded to the nearest tenth

Answers

Answer:

50/13= 3.846153846

nearest tenth anwer is easily 3.8

What is the greater rate, 22 miles in 20 minutes or 38 miles in 20 minutes? Show your work.

Answers

Answer:

the greater rate would be 38 miles in 20 minutes

Step-by-step explanation:

This is because when going 38 miles per 20 minutes, you are going 10 miles faster than 22 miles per 20 minutes

YYYOOO!!! Anyone!!! Help me, just real quick (quadratic equation factoring)

What is the only solution of 2x2 + 8x = x2 – 16?

And please... Don't be useless

Answers

Answer:

the answer is x=-4

Step-by-step explanation:

The surface area of this cube is 54 square millimeters. What is the volume?

Answers

Answer:

27

Step-by-step explanation:

One face of the cube is 9 square cm (54/6). So the length of an edge is 3 cm.

3x3x3 = 27

Which polynomial lists the powers in descending order?
O A. 45+34-2-22+1
O
B. 3A-2+45-22+1
O C.1-22-2+45+34
© D. 4x5-22-2+3/+1

Answers

Answer:

D i believe

Step-by-step explanation: hoped this helps

need help will give brainliest i am timed answer in 20 minutes
What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)?

3
6
112
121

The function f(x) = –3x2 + 36x – 119 written in vertex form is f(x) = –3(x – 6)2 – 11. Which statements are true about the graph of f(x)? Select three options.

The axis of symmetry is the line x = 6.
The vertex of the graph is at (–6, –11).
The parabola has a minimum.
The parabola opens down.
The value of h, when the equation is written in vertex form, is positive.

Answers

Answer:

121

.

The axis of symmetry is the line x= 6

The parabola opens downwards.

The value of h when the equation is in vertex form is positive.

Step-by-step explanation:

In the pictures.

Hope it helps! :)

If MK = 9ft find the length of MKL to the nearest tenth

Answers

Check the picture below.

we know the diameter MK is 9 units, so the radius must be half that, or 4.5.

[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=4.5\\ \theta =218 \end{cases}\implies \begin{array}{llll} s=\cfrac{(218)\pi (4.5)}{180}\implies s=5.45\pi \\\\\\ s\approx 17.1 \end{array}[/tex]

What is the surface area (in square meters) of a box with length of 3 m, width of 4 m and a height of 2 m? Round to the nearest whole number.

Answers

Answer:

C) 52

Step-by-step explanation:

=  2x 4x  3x  2x  3x  2x  4

Hope this helps!

examples of irrational numbers that result into rational numbers when squared​

Answers

[tex] \orange{\boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \blue{{deenz \red{l}}}}}}}}}}}}}[/tex]

thanks

(2-i)-(4-6i)(-3+3i) simplify

Answers

Answer:

9 - 10i

Step-by-step explanation:

2 + 4 =

6

- 3(when added) =

3

6 + 3 =

9

i + 6i =

7i

7i + 3i =

10i

Answer:

10i

Step-by-step explanation:

i think im wrong but i hope u get the right answer

help help help help help help

Answers

Answer:

B) d=4t

Step-by-step explanation:

let's look at two points

1. t=0, d = 0

2. t = 1, d = 4

slope = change in vertical axis (d)/ change in horizontal axis (t)

change in d = 4 = d₂-d₁

change in t = 1 = t₂-t₁

slope = 4/1 = 4

vertical variable = slope * horizontal variable + horizontal axis intercept

d = 4 * t + horizontal axis intercept

horizontal axis intercept is the vertical axis variable (d) when the horizontal axis variable (t) is at 0. at t=0, d=0

thus, d = 4 * t + 0

d = 4t (B)

Is (2, 2) a solution of the inequality y ≤ 3x - 5?
O (2,2) is not a solution.
O (2, 2) would be a solution if the inequality was y < 3x - 5.
• (2, 2) is a solution.
•There is not enough given information to determine this.

Answers

               - - - - -  - - -- - - - - - - - - - - - - - - - - - - - - - - -- - - -- - - - - - - - - - - - - - -- -

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

Is (2,2) a solution of the inequality y≤3x-5?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

Simply write the y-coordinate in lieu of y and write the x-coordinate in lieu of x:-

2≤3(2)-5

Multiply:-

2≤6-5

2≤1

2 is less than 1, but it's not equal to 1.

So the right option is:-

[tex]\bigcirc\!\!\!\!\!\bigstar[/tex] (2,2) would be a solution if the inequality was y<3x-5

Good luck.

       - - - - - -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -  - - - - - - -

SOLVE MATH TO GET 100+ PTS

Answers

The linear equation that represent the situation is 3b - 6 = 45.

The value of b is 17.

How to represent a linear equation?

The situation forms a linear equation. Therefore,

y = mx + b

where

m = slopeb = y-intercept

Therefore, let's model the equation linearly,

where

b = number of books bought

She bought the book for $3 each and receive a discount of $6. The total money spent after the discount is $45.

Therefore, the equation is as follows

3b - 6 = 45

The value of b is as follows;

3b - 6 = 45

3b = 45 + 6

3b = 51

b = 51 / 3

b = 17

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Answer:

The linear equation that represent the situation is 3b - 6 = 45.

The value of b is 17.

How to represent a linear equation?

The situation forms a linear equation. Therefore,

y = mx + b

where

m = slope

b = y-intercept

Therefore, let's model the equation linearly,

where

b = number of books bought

She bought the book for $3 each and receive a discount of $6. The total money spent after the discount is $45.

Therefore, the equation is as follows

3b - 6 = 45

The value of b is as follows;

3b - 6 = 45

3b = 45 + 6

3b = 51

b = 51 / 3

b = 17

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Will mark Brainliest!! :)

Students at Green High School and students at Belle High School planned separate field trips to Washington, D.C. Green High School filled three buses (x) and one van (y) with 118 students. Belle High School filled four buses and two vans with 164 students.

The situation above is represented by the following system of equations:

3x + y = 118
4x + 2y = 164
The solution is (36,10)

Explain what the system of equations and the solution both represent.

Answers

Step-by-step explanation:

The system of equations for eq 1 which is 3x + y = 118 represents the Green High School which filled three buses(with a specific number of students identified as x) and a van(with a specific number of students identified as y) with a total of 118 students.

for eq 2; 4x + 2y = 164; represents Belle High School which filled four buses(with a specific number of students identified as x) and two vans(with a specific number of students identified as y) with a total of 164 students.

The solution represents the specific number of students in the buses and vans in eq1 and eq 2 with x being 36 students and y being 10 students.

substituting 36 for x and 10 for y in eq 1;

3(36) + 10 = 108 + 10 = 118 total students for Green High School

substituting 36 for x and 10 for y in eq2;

4(36) + 2(10) = 144 + 20 = 164 total students for Belle High school

Calculus - need work shown

Answers

[tex] \frac{ - 1}{2} [\cos(8x(x + 3))]+ c[/tex]

Answer:

[tex]\large \text{$ -\dfrac{1}{2}\cos (8x^2+24x) + C $}[/tex]

Step-by-step explanation:

[tex]\large \displaystyle\begin{aligned}\textsf{let }\:u & =8x^2+24x\\\\\implies \dfrac{du}{dx} & =16x+24\\ & =2(8x+12)\\\\\implies dx & =\dfrac{1}{2(8x+12)}\: du\\\end{aligned}[/tex]

[tex]\large\displaystyle\begin{aligned}\int (8x+12) \sin (8x^2+24x)\:dx & = \int (8x+12) \sin (u) \cdot \dfrac{1}{2(8x+12)}\:du\\\\& = \int \dfrac{(8x+12)\sin (u)}{2(8x+12)}\:du\\\\& = \int \dfrac{1}{2}\sin (u)\:du\\\\& = -\dfrac{1}{2}\cos (u) + C\\\\& = -\dfrac{1}{2}\cos (8x^2+24x) + C\\\\\end{aligned}[/tex]

What value(s) of x will make x2 = 9 true?
.............................................................................

A. 81 and -81
B. V3
C. 3 and -3
D. 3


Thank you to anyone who answers !! :-)​

Answers

Answer:

C.) 3 and -3

Step-by-step explanation:

The question is asking: "Which numbers can be multiplied by themselves and equal 9?" You can formally find this answer by taking the square root of 9, the opposite of squaring a number. Or, in this case, you can try the guess-and-check method. Remember, multiplying two negative numbers together results in a positive answer.

A.) is incorrect because 81 x 81 = 6561 and -81 x -81 = 6561.

B.) I'm assuming this answer is [tex]\sqrt{3}[/tex] (if it's not, there is still a better answer). This answer is incorrect because [tex]\sqrt{3}[/tex] x [tex]\sqrt{3}[/tex] = 3.

C.) is correct because 3 x 3 = 9 and -3 x -3 = 9.

D.) is incorrect because -3² also equals 9.

Complete the square to write y = 3x2 12x 7 in vertex form, y = a(x - h)2 k. y = 3(x2 4x) 7 y = 3(x2 4x 4) 7 - when the above expression is written in vertex form, a is , h is , and k is .

Answers

This are used to determine the maximum or minimum of a function. The vertex form of the function is given as y = 3(x+2)² - 5

Vertex form of a function

This are used to determine the maximum or minimum of a function. Give the quadratic equation expressed as:
y = 3x² + 12x + 7

The vertex form of the function will be in the form y = a(x-h)² + k

Complete the square

y = 3(x² + 4x) + 7

y = 3(x² + 4x + 2² - 2²) + 7
y = 3(x+2)² - 3(4) + 7

y = 3(x+2)² - 5

Hence the vertex form of the function is given as y = 3(x+2)² - 5

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Drag values to complete each equation.
y5y3−(y−2)4
=
(y−2)4+y3y5

Answers

For the expression y5y3−(y−2)4 the correct value is in the first tile, and for the expression (y−2)4+y3y5 the correct value is in the fifth tile.

What is integer exponent?

Exponents that should be integers are known as integer exponents in mathematics. It could be either a positive or negative integer. The positive integer exponents specify how many times the base number should be multiplied by itself in this case.

We have:

[tex]=\rm y^5y^3-(y^{-2})^4[/tex]

[tex]= \rm y^{5+3}-(y^{-2\times4})[/tex]

[tex]= \rm y^{8}-(y^{-8})[/tex]

[tex]= \rm y^{8}-\dfrac{1}{y^{8}}[/tex]

[tex]\rm y^5y^3-(y^{-2})^4 = y^{8}-\dfrac{1}{y^{8}}[/tex]

Similarly,

[tex]\rm (y^{-2})^4 + \dfrac{y^3}{y^{5}} = \rm \dfrac{1}{y^{8}} + \dfrac{1}{y^{2}}[/tex]

Thus, for the expression y5y3−(y−2)4 the correct value is in the first tile, and for the expression (y−2)4+y3y5 the correct value is in the fifth tile.

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What is the value of [(2/3)^0]^-3

Answers

Answer:

1

(2/3)^0=1

(1)^‐³

(1/1)³

1

Shelly buys some pies that cost $5.35 each and a cake that costs $17.50. Which expression can be used to find the total cost of a pies and the cake? NEED HELP QUICK​

Answers

Answer:

22.95 (Addition)

Step-by-step explanation:

Add the numbers

Add $5.35 + $17.50

Answer = 22.95

How did we get it? ( Added the numbers)

Have a good day :D

What value of x makes this equation true?

6x=3x+18

Answers

Answer:

x= 6

Step-by-step explanation:

To find the value of x that makes the equation true, first shift all the x terms to one side of the equation.

6x -3x= 18

Simplify:

3x= 18

Divide both sides by 3:

x= 18 ÷3

x= 6

              [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

       What value of x makes the equation [tex]\large\textit{6x=3x+18}[/tex] true?

         

[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

   [tex]\dagger[/tex] When solving an equation, we need to make sure that variables are on one side of the equation, which is usually the left-hand side,  and numbers are on the other side, which is usually the right-hand side, of the equation.

[tex]\bigstar[/tex] Since we have variables on the right-hand side as well as the left-hand side, we need to move all of them to the left-hand side, with the opposite operation:-

[tex]\sf{6x-3x=18}[/tex]                Subtract 6x-3x:-

[tex]\sf{3x=18}[/tex]                 Now, divide by 3 on both sides:-

[tex]\boxed{\boxed{\sf{x=6}}}\checkmark[/tex]

We've found the value of x, but we also need to make sure our solution is correct.

         We can do that by substituting 6 for x (into the original equation)

       and seeing whether or not we have a true statement:-

        [tex]\implies\sf{6(6)=3(6)+18}[/tex]

       [tex]\implies\sf{36=18+18}[/tex]

      [tex]\implies\sf{36=36}[/tex]

     [tex]\bigstar[/tex] Since the LHS equals the RHS, our solution (x=6) is correct.

Good luck with your studies.

         [tex]\rule{50}{1}\smile\smile\smile\smile\smile\rule{50}{1}[/tex]

plssss i need helpp again​

Answers

Answer:

4〉

Shoe box is an example of rectangular prism.

5〉

Classroom ↬

6〉

Book ↬ cm²

7〉

Matchbox ↬ mm²

8〉

8 cm³ = 0.000008 or 8 × 10

9〉

28 m³ = 28000000 cm³ or 2.8 × 10⁷ cm³

10〉

95 cm³ = 0.095 L

what would Z equal to 13(z + 16) = 949

Answers

13(z+16) = 949

z+16 = 949 : 13 = 73

z = 73 - 16 = 57

Recheck : 13 x (57+16) = 13 x 73 = 949.

3. it is the most useful diagra on that will present
The proportion of each Observation in relation to the
Total data set
B pie
pie chart
A line graph
c. bar graph
14 It is the graph that displays the trend or
the behaviour of the data set
A line graph
Copie chart
B. bar graph

Answers

The pie chart is the most useful diagram on that will present the proportion of each observation in relation to the total data set and a line graph that displays the trend or the behaviour of the data set, called a line graph.

What is a line graph?

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

As we know, that pie chart is the most useful diagram on that will present the proportion of each observation in relation to the total data set.

From the definition of the line graph, the graph that displays the trend or the behaviour of the data set, called a line graph.

Thus, the pie chart is the most useful diagram on that will present the proportion of each observation in relation to the total data set and a line graph that displays the trend or the behaviour of the data set, called a line graph.

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The molar mass of AlCl3 is 133.34 g/mol. How many molecules of AlCl3 are there in 2 g?

Answers

To solve this problem, we have to apply mole-concept to this and we would need the molar mass of AlCl3.  2g of AlCl3 contains 9.034*10^21 molecules.

Number of Molecules in 2g of AlCl3

The molar mass of AlCl3 is given as 133.34g/mol

Data;

mass = 2gmolar mass = 133.34g/mol

Using the mole concept, we can equate the molar mass to the number of molecules present in the entity.

[tex]133.34g = 6.023*10^2^3[/tex]

If we equate this

[tex]133.34g = 6.023*10^2^3\\2g = x molecules\\x = \frac{2*6.023*10^2^3}{133.34} \\x = 9.034*10^2^1 molecules[/tex]

From the calculations above, 2g of AlCl3 contains 9.034*10^21 molecules.

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please answer
Which of the following describe financial literacy? Select all that apply.

knowledge of how money works
how much of something is available
money earned
knowledge of how to manage your own money

Answers

The correct statements about financial literacy from the given options are as follows:

Financial literacy is the knowledge about money and what you do with money.Financial literacy includes information about income, banking, loans, career, credit, and consumer rights.One reason to become financially literate is to save you money.One reason to become financially literate is to help you make smart financial decisions.

The only option that isn’t included is: One reason to become financially literate is to make you rich.  Though knowledge about financial literacy can help you in managing your finances, you would need great amount of knowledge about other fields to be able to become rich - not just financial literacy.

Given the two rectangles below. Find the area of the shaded region.
7
2
4
2

Answer:
\text{ units}^2 units
2

Answers

Answer:

52 units²

Step-by-step explanation:

A = L × W

Area = Length × Width

First find the total area: 44

Half that to find the total left side that is shaded: 22

Find the bottom right side, imagine it is a seperate shape. It would be 4 × 2 = 8. 44 + 8 = 52.

- Educator

Which of the following is an example of a theorem?
A. The areas of two congruent figures are equal.
B. The area of a square is the square of the length of its side.
C. The area of a rectangle is the product of its base and height.
D. The area of a region is the sum of all of its non-overlapping parts.

Answers

Answer:

A) The areas of two congruent figures are equal.

Step-by-step explanation:

Solution:

2nd, 3rd, and 4th statements are formulas, not theorems.

Areas of two congruent figures that are equal is a theorem.

fill in the missing values in the table

minutes miles
10. 2
8
10

Answers

40 mins 8 miles
50 mins 10 miles

Please someone help me with my question

Answers

Answer:

∠A≅∠Y        AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X         BC≅ZX

ΔABC ≅ ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

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