What is the area of a sector when theta=pi/12 radians and r =4

Answers

Answer 1

Answer:

\(\frac{2\pi}{3}\text{units}^2\)

Step-by-step explanation:

\(\displaystyle A=\frac{r^2\theta}{2}=\frac{4^2*\frac{\pi}{12}}{2}=\frac{16\pi}{24}=\frac{2\pi}{3}\text{units}^2\)


Related Questions

Function f is defined by the equation f (x) = 10x + 2. What is the value of f (2)?

Answers

Answer:

f(2) = 22

Step-by-step explanation:

To find f(#), plug the number into each x of the equation.

f(x) = 10x + 2

f(2) = 10(2) + 2

Simplify the parentheses by multiplying.

f(2) = 20 + 2

Add.

f(2) = 22

Hope this helps!

How do you put these numbers in order: 2.25, 2.6, 3, and 2.5?

ANY APPROPRIATE ANSWER HELPS! :)

Answers

Answer:

From Least to Greatest: 2.25, 2.5, 2.6, 3

From Greatest to Least: 3, 2.6, 2.5, 2.25

Step-by-step explanation:

lmk lmk i need answer asap

lmk lmk i need answer asap

Answers

Answer:

5+9=9+5

Step-by-step explanation:

Because ethier way it will be 14, but idl dont take my word yet...

Answer:

The answer is C

Step-by-step explanation:

21+21=42

Which recursive sequence would produce the sequence 3, 8, 28, ...?​

Answers

\(7.5x^2-17.5x+13\)

Would be the equation needed to produce the sequence

The cost of 900 shares of stock selling for 57 5/8 is a. $787.50 b. $957.88 c. $51,300 d. $52,087.50

Answers

The cost of 900 shares would by $51,862 if the cost of each share is 57 5/8.

According to the given question.

The cost of each share is $57 5/8 or $461/8.

Therefore,

900 share would cost

= 900 × $461/8

= 900 × $57.625

=  $51,862

Hence, the cost of 900 shares would by $51,862 if the cost of each share is 57 5/8.

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Solve the system of equations using elimination. −2x + 3y = 15 x + y = 10 (2, 8) (3, 7) (6, 9) (9, 11)

Answers

The solution is Option B.

The system of equations is solved and the value of x and y is ( 3 , 7 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be represented as A

Now , the value of A is

-2x + 3y = 15   be equation (1)

Let the first equation be represented as B

Now , the value of B is

x + y = 10   be equation (2)

On simplifying the equation , we get

Subtracting y on both sides of the equation , we get

x = 10 - y   be equation (3)

Substituting the value of x from equation (3) in equation (2) , we get

-2 ( 10 - y ) + 3y = 15

On simplifying the equation , we get

-20 + 2y + 3y = 15

Adding 20 on both sides of the equation , we get

5y = 35

Divide by 5 on both sides of the equation , we get

y = 7

Substitute the value of y in equation (3) , we get

x = 10 - 7

x = 3

Hence , the value of x and y is 3 and 7 respectively

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Answer:

Option B: (3, 7)

Step-by-step explanation:

i took the test xx

Describe fully the single transformation which takes shape A to shape B

Describe fully the single transformation which takes shape A to shape B

Answers

I thick is c because a and b don’t make sense hope it helps

Answer:

Reflect over the y axsis move down 1 unit

Step-by-step explanation:

6th grade math help me pleaseeee

6th grade math help me pleaseeee

Answers

Answer:

5

Step-by-step explanation:

Count the number of people not in the soccer circle that are not girls

2+3

5

Find the total area of the region(s) bounded by the curves. Answer in either integer or fraction form. NO DECIMAL APPROXIMATIONS. y = x and y = x^3/9 The total area bounded by the curves is

Answers

The required total area bounded by the curves y = x and \(y = x^3/9\)  is 3.6 square units.

To find the total area bounded by the curves \(y = x\)  and \(y = x^3/9\), we need to determine the points of intersection between the two curves. We can then integrate the difference between the curves over the interval between these points.

Setting y = x and y = x^3/9 equal to each other, we have:

\(x = x^3/9\\x^3 - 9x = 0\)

\(x(x^2 - 9) = 0\)

This equation is satisfied when x = 0 or \(x^2 - 9 = 0\).

For this \(x^2 - 9 = 0\), we have two solutions:

\((x - 3)(x + 3) = 0\)

This gives x = 3 and x = -3 as the other two points of intersection.

To find the total area, we integrate the difference between the two curves over the interval [-3, 3]:

\(Area = \int_{-3}^3 (x - x^3/9) dx\)

Evaluating this integral:

\(= [9x^3/27 - x^5/45]_{-3}^3\\= [(3^3 - (-3)^3)/3 - (3^5 - (-3)^5)/45]\\= [54/3 - 648/45]\\= [18 - 14.4]\\= 3.6\)

Therefore, the total area bounded by the curves \(y = x\) and \(y = x^3/9\)  is 3.6 square units.

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Find the percent change 50 is decreased to 14.

Answers

Answer:

50, percentage decreased by 14% (percent) of its value = 43

PLS help me with this question!!

Thank u and i will put a brainlest crown on somebody that answers this right​

PLS help me with this question!!Thank u and i will put a brainlest crown on somebody that answers this

Answers

3 is the answer. If he spins it 12 times he’ll get yellow 3 times

If you answer both of these i will give
Brainliest ( if thats how you spell it )

If you answer both of these i will give Brainliest ( if thats how you spell it )

Answers

Answer:

first one:4/10

second one: 8/24

Step-by-step explanation:

i think this works but a hundred 100% sure though.

here you go hope its correct.

\Which function is the inverse of f(x)= 9x-3

Answers

Answer:

x=3/9

Step-by-step explanation:

hope the answer is this

Please helpppp.I need to get my grade up and this will get it up!!

Please helpppp.I need to get my grade up and this will get it up!!

Answers

Answer:

It should be 15 weeks

Step-by-step explanation:

if you look at the graph you can see every two weeks it goes down by 100, go to the end of the graph and continue from there. you should get 15 weeks till 300 tickets

Please help.. ty if you do

Please help.. ty if you do

Answers

Answer:B

Step-by-step explanation: x is less than 1 so it is a open circle on the graph and x is greater than or equal to -1 so it is a closed circle on -1, B has both of these so B is the answer

The answer is B because is B

In circle M with mZLMN = 84 and LM = 18 units find area of sector LMN.

Round to the nearest hundredth.

Answers

The area of sector LMN is approximately 11.47 square units.

To find the area of a sector, we need to use the formula A = (θ/360)πr², where A is the area, θ is the central angle in degrees, and r is the radius of the circle.

In this case, the central angle is given as 84 degrees, and the radius is not explicitly given. However, we can find the radius by using the fact that the length of the arc is equal to the circumference of the circle multiplied by the ratio of the central angle to 360 degrees. The length of the arc can be found using the formula L = 2πr(θ/360).

Since the length of the arc is equal to the length of LM, which is 18 units, we can set up the equation as follows: 18 = 2πr(84/360).

Simplifying the equation, we have 9 = πr(84/360). Dividing both sides by π(84/360), we get r ≈ 9/(π(84/360)).

Now that we have the radius, we can substitute it into the formula for the area of a sector. The area is A ≈ (84/360)π(9/(π(84/360)))².

Simplifying further, A ≈ (84/360)(9/(π(84/360)))².

Calculating this expression, we find that A ≈ 11.47 square units (rounded to the nearest hundredth).

Therefore, the area of sector LMN is approximately 11.47 square units.

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A triangle has a base length of 10 inches and a height of 4 inches.

Answers

Answer: The area is 20

What is the value of log 7 base 10?

Answers

The value of log7 base 10 is 0.84509804.The logarithm of a number is the exponent to which another fixed number (in this case 10) must be raised to produce that number.

The logarithm of a number is the exponent to which another fixed number (in this case 10) must be raised to produce that number. So to find the logarithm of 7 base 10, we must find the exponent to which 10 must be raised to produce 7. This can be solved using a calculator by taking the logarithm of 7 (log 7) and setting the base to 10 (log 10). The answer is 0.84509804. This means that 10 must be raised to the power of 0.84509804 to produce 7.

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what is 3x^2-x-2 factored?

Answers

To factor the quadratic expression 3x^2 - x - 2, we need to find two binomials that, when multiplied, give us the original expression.

The factored form of the quadratic expression can be determined by breaking down the middle term (-x) into two terms whose coefficients multiply to give the product of the coefficient of the squared term (3) and the constant term (-2). In this case, the product is -6. We are looking for two numbers whose sum is equal to -1 (the coefficient of the middle term) and whose product is equal to -6.

The numbers that satisfy these conditions are -3 and 2. We can now rewrite the expression using these numbers:

3x^2 - x - 2 = 3x^2 - 3x + 2x - 2

Next, we group the terms and factor by grouping:

(3x^2 - 3x) + (2x - 2) = 3x(x - 1) + 2(x - 1)

Now, we can see that we have a common binomial factor of (x - 1) in both terms. We can factor this out:

3x(x - 1) + 2(x - 1) = (3x + 2)(x - 1)

Therefore, the factored form of the quadratic expression 3x^2 - x - 2 is (3x + 2)(x - 1).

A band is planning a concert at a local theater. The graph below shows the ticket sales per hour.



What is the slope of the line shown in the graph?

A.
-400
B.
-250
C.
-2,000
D.
-1,500

A band is planning a concert at a local theater. The graph below shows the ticket sales per hour.What

Answers

Answer:

Option A. (-400)

Step-by-step explanation:

Graph attached shows the sales of the concert tickets.

We choose the two points through which the given line is passing,

Let the two points are (0, 4000) and (10, 0)

Slope of a line = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

                        = \(\frac{4000-0}{0-10}\)

                        = -400

Therefore, slope of the line graphed has the slope = -400

Option (A) will be the answer.

Answer:

a. -400

Step-by-step explanation:

got it correct!

a rectangular parking lot is 67.5 ft wide and 148 ft long. what is the area of the parking lot in square meters?

Answers

The area of the rectangular parking lot is 929.03 square meters.

Use the formula for the area of a rectangle to calculate the area of the rectangular parking lot, which is given as:

Area = length × width

We know that the parking lot is 67.5 ft wide and 148 ft long, the area can be calculated as follows:

Area = 67.5 ft × 148 f

t= 9990 sq. ft

However, the question asks for the area in square meters, so we need to convert square feet to square meters. 1 square foot is equal to 0.092903 square meters, so we can use this conversion factor to convert square feet to square meters.

Area in square meters = Area in square feet × 0.092903

= 9990 sq. ft × 0.092903

= 929.03 sq meters

Therefore, the area is 929.03 square meters.

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PLSSS HELPPP
A graph of f (x) is given. Complete the statements for the domain and range of f¹(x).
Domain of f-1(x)
Range of f-1(x)

PLSSS HELPPPA graph of f (x) is given. Complete the statements for the domain and range of f(x).Domain

Answers

The domain for given function f(x) is {-7,5} and range is {7,-3}

What is range and domain of a function?

Domain

The set of all possible values which qualify as inputs to a function is known as the domain of the function, or it can also be defined as the entire set of values possible for independent variables. The domain can be found in – the denominator of the fraction is not equal to zero and the digit under the square root bracket is positive. (In the case of a function with fraction values).

Range

The set of all the outputs of a function is known as the range of the function or after substituting the domain, the entire set of all values possible as outcomes of the dependent variable.

Now

As shown in graph,

for the domain {-7,5}, the range is {7,-3}.

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d) Decrease 500 ml by 25% and then increase by 10%.​

Answers

Answer: 412.5 ml

Step-by-step explanation:

500 ( 1 - 25%) ( 1 + 10%)

= 412.5 ml

Answer:

412.5 ml

Step-by-step explanation:

To decrease 500 ml by 25%, you would need to multiply 500 by 0.25 to find the amount of decrease:

500 × 0.25 = 125 ml

Subtract that amount from the original value:

500 - 125 = 375 ml.

Therefore decreasing 500 ml by 25% would give us 375 ml.

To then increase this value by 10%, you would multiply it by 0.10 to find the amount of increase:

375 × 0.10 = 37.5 ml

Now, add that amount to the previous value:

375 + 37.5 = 412.5 ml.

Therefore, if you decrease 500 ml by 25% and then increase it by 10%, the final result is 412.5 ml.

There are 10 water birds swimming in a pond. If
there are 6 ducks and 4 geese at the pond, what
fraction of the birds are geese?
Simplify your answer as much as you can.

Answers

Answer:

2/5

Step-by-step explanation:

Total water birds=10

ducks=6

geese=4

fraction of geese=4/10

=2/5

if the number of times you take the test were independent of the chance you fail what could that mean?

Answers

if the number of times you take the test were independent variable of the chance you fail what could that mean the difficulty of the test is consistent and unchanging.

The difficulty of the test is consistent and unchanging, making it so that the chance of failing is solely determined by the individual's performance on the test. Factors such as knowledge of the subject and the ability to focus can play a role in a person's success, but the actual chance of failing is not affected by how many times the test is taken. This means that those who fail the test will have to work harder and prepare better in order to pass it on the next attempt. Taking the test multiple times does not guarantee a higher chance of success, as the difficulty remains the same each time due to independent variable.

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Which segment represents a radius of the circle below?

Which segment represents a radius of the circle below?

Answers

Answer: Choose A my smart self just knew

what is the proof that pi is 3.14?​

Answers

Answer:

Step-by-step explanation:

If we consider a circle with a diameter of 7 cm... by superimposing a thread we may find that the circumference is approx. 22 cm.

Now, as we know that

2 pi r = c

d * pi =c

pi = c/d

Hence by dividing 22 by 7, we get 3.14 to two decimal places

[Note: The exact value of pi can never be found... as it is irrational. But for simplicity.. we take it as 3.14]

If there were 300 accidents in 1966 and 290 in 1967 what is the percent of decrease? 1 10 3. 33 33. 33.

Answers

Answer:

Your answer would be 3.33%

Step-by-step explanation:

My answer is correct that's why!

will someone plz help

will someone plz help

Answers

Answer:

-b-9<8.5

Step-by-step explanation:

I WILL GIVE BRAINLIEST
5x38954257.9=______________

Answers

Answer:

194771289.5

Step-by-step explanation:

Thats your answer

Hope you get a good grade :P

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