whats the area of sector and length of arc

Whats The Area Of Sector And Length Of Arc

Answers

Answer 1

The required area of the sector is  106 sq units.

What is area of sector of the circle?

A part of a circle's interior is called a segment. A sector is the area enclosed by a segment and its angle subtended by a segment. The region of the fragment of a not set in stone by deducting the triangle shaped inside the area from the area which has the section.

According to question:

We have given

Radius of sector = 9 ft and angle of sector = 150°

[tex]$Area of sector = \frac{angle}{360}\times\pi r^2[/tex]

[tex]Area of sector = \frac{150}{360} \times\pi 9^2[/tex]

Area of sector = 106 sq units.

Thus, required area of the sector is  106 sq units.

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Related Questions

For each ordered pair (x, y), determine whether it is a solution to the inequality y > 0.
(x,y)
(6, 38)
(-4, - 13)
(-1, 8)
(3, 26)

Answers

The ordered pairs (6, 38), (-1, 8), and (3, 26) are solutions to the inequality y > 0, while (-4, -13) is not a solution.

Define in short the solution to the inequality?

An inequality is a mathematical statement that compares two values and shows the relationship between them using symbols like "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "!=" (not equal to).

For the given ordered pairs:

(6, 38): The y-coordinate (38) is greater than 0, this ordered pair is a solution to the inequality y > 0.

(-4, -13): The y-coordinate (-13) is not greater than 0, this ordered pair is not a solution to the inequality y > 0.

(-1, 8): The y-coordinate (8) is greater than 0, this ordered pair is a solution to the inequality y > 0.

(3, 26): The y-coordinate (26) is greater than 0, this ordered pair is a solution to the inequality y > 0.

Therefore, the ordered pairs (6, 38), (-1, 8), and (3, 26) are solutions to the inequality y > 0, while (-4, -13) is not a solution.

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How can I solve this?

Answers

In conclusion, we need to identify the set of values of x for which either f(x)=-1/4 or f(-x)=-1/4 in order to solve to the equation f(|x|)=-1/4.

How is a function solved?

The expression f(|x|)=-1/4 indicates that the absolute value of x's function f is equal to 1/4. Any x values that satisfy this equation are what we are trying to find. We can rewrite the equation as f(x)=-1/4 when x is positive and f(-x)=-1/4 when x is negative because the absolute value of x is always positive.

We must search for values of x such that f(x)=-1/4 or f(-x)=-1/4 in order to identify the answers. Without knowing more about the function, f may be anything, hence we cannot know the precise solutions.

Therefore, we can state that x or -x is a solution to the equation if there is a value of x such that f(x)=-1/4 or f(-x)=-1/4.

As a result, we must identify the range of x values for which either f(x) or f(-x) = 1/4.

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a weather ballon ascends at a constant rate. the height of the ballon 8 minutes after beginning to ascend is 2,320 feet. the height 15 minutes after ascending is 4,350 feet. what is the change in the elevation of the ballon per minute

Answers

Answer:

290 feet/minute

Step-by-step explanation:

2320/9 = 290

4350/15 = 290

Which of the following is a rational number?

Answers

Answer:

-77

Step-by-step explanation:

What is Radical? The radical of a number is the same as the root of a number. The root can be a square root, cube root, or in general, nth root. Thus, any number or expression that uses a root is known as a radical. The term radical is derived from the Latin word Radix which means root.

(Taken from Online)

Which pair of angles are corresponding?


A. <1 and <3
B. <3 and <4
C. <1 and <8
D. <2 and <6

Answers

Answer:

2 and 6

Step-by-step explanation:

2 and 6 is the correct option

Please help ASAP!

Filipe bought a classic car, originally valued at $60,000, in 2012. He believes that the value of the car depreciates exponentially at a rate of 4% each year.


Round the expected value of Filipe's car after 6 years to the nearest cent.


Click “show your work” and show your steps to solve this problem.

(Hint: You need to use the exponential decay formula)

Answers

In a case whereby Filipe bought a classic car, originally valued at $60,000, in 2012. whee  the value of the car depreciates exponentially at a rate of 4% the expected value of Filipe's car after 6 years is $46970

How can the expected value of Filipe's carbe calculated?

Based on the given information, the future value when there is a depreciation can be calculated using the formular below:

FV =[ P (1 - r)^n]

where the

R  represent the rate of depreciation =4%  = 0.04

N represent the number of years =  6 years

FV represent the Future value

P represent the Present value

From the formula we can input the values as :

$60,000 x ( 1 - 0.04)^6 = $42,890

=$46965.5

=$46970 (rounded up)

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Mr. Moore has a rectangular prism shaped planter box to grow herbs inside his house. The dimensions of the planter box are 4. 5 feet long, 2 feet wide, and 1. 5 feet tall. How any cubic feet of soil does Mr. Moore need in order to fill the planter box

Answers

Mr. Moore needs 13.5 cubic feet of soil to fill the planter box.

To calculate the volume of the rectangular prism planter box, we need to multiply the length, width, and height of the box.

Volume = length x width x height

V = 4.5 ft x 2 ft x 1.5 ft

V = 13.5 cubic feet

Therefore, Mr. Moore needs 13.5 cubic feet of soil to fill the planter box.

It is important to note that the volume of the box represents the amount of space inside the box and does not take into account any obstructions or irregularities that may be present inside the box.

Thus, the actual amount of soil required may be slightly different from the calculated value. Additionally, it is always a good idea to add some extra soil to account for settling and to ensure that the planter box is completely filled.

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Pricing Math Quiz
QUESTION 4 of 10: You make a corn dip appetizer that feeds four. The key ingredients and prices are: corn $0.77, sour cream $0.96, cheese
$1.11, seasoning $0.44. What is the total food cost?

Answers

Answer:

13 dollars and 12 cents

Step-by-step explanation:

I added all of the ingredient prices in parenthesis then multiplies it by 4. :)

Which set of ordered pairs does NOT represent a function?ResponsesA(-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)(-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)
B(0, 1), (2, 2), (4, 8), (-2, 7), (5, 8)(0, 1), (2, 2), (4, 8), (-2, 7), (5, 8)
C(0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9)(0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9)
D(1, 4), (3, 7), (5, 8), (4, 9), (6, 2), (7, 8), (2, 5)(1, 4), (3, 7), (5, 8), (4, 9), (6, 2), (7, 8), (2, 5)
E(-3, 6), (2, 7), (0, 5), (1, 5), (4, 9), (5, 4)

Answers

The set of ordered pairs in option C does not represent a function.

What is a function?

A function is a mathematical expression, rule, or law that describes the relationship between an independent variable and a dependent variable.

We know that in a function each input has only one output.

So, on evaluating the options, we get

Option A

This represents a function as each input has only one output.

Option B

This represents a function as each input has only one output.

Option C

This does not represent a function as input 2 has two different outputs which are 2 and 7.

Option D

This represents a function as each input has only one output.

Option E

This represents a function as each input has only one output.

Hence, the set of ordered pairs in option C does not represent a function.

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Question: Which set of ordered pairs does NOT represent a function?

A. (-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)

B. (0, 1), (2, 2), (4, 8), (-2, 7), (5, 8)

C. (0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9)

D. (1, 4), (3, 7), (5, 8), (4, 9), (6, 2), (7, 8), (2, 5)

E. (-3, 6), (2, 7), (0, 5), (1, 5), (4, 9), (5, 4)

Find the exact value using the sum/difference formula.
sin 140 degrees cos 50 degrees-cos 140 degrees sin 50 degrees

Answers

To find the exact value of sin 140° cos 50° - cos 140° sin 50°, we can use the sum/difference formula for sine and cosine:

sin (a - b) = sin a cos b - cos a sin b

cos (a - b) = cos a cos b + sin a sin b

Using these formulas, we can write:

sin 140° cos 50° - cos 140° sin 50°

= sin (140° - 50°)

= sin 90°

= 1

Therefore, the exact value of sin 140° cos 50° - cos 140° sin 50° is 1.

In8=2.08 in exponential form

Answers

Hi, hope it helps!

Fell free to ask if u have any question!

If 3 −2√5 and 6 + ???? are roots of P(x), what other numbers must
also be roots?

Answers

There is no one definite answer.

Given information: If 3 −2√5 and 6 + ???? are roots of P(x), what other numbers must also be roots?To find out the other roots of P(x), we have to make use of the Fundamental theorem of algebra which states that every polynomial of degree n has n roots, both real and complex.In order to find out the other roots, we have to divide the polynomial P(x) by its given roots i.e (x-(3-2√5))(x-(6+????)) = 0Let's begin by solving the first root:Since, If 3 −2√5 is the root, thus we can write, x - (3 - 2√5) = 0Or, x - 3 + 2√5 = 0Or, x = 3 - 2√5Similarly, for the second root, 6 + ???? ,

we can write: x - (6 + ???? ) = 0Or, x = 6 + ????Now, Let's combine these two roots and write the polynomial in factored form. Using these two roots, we can write the equation as below: Thus, P(x) = (x - 3 + 2√5)(x - 6 - ???? ) = 0We have found the other roots to be: Other roots = (x - 3 + 2√5)(x - 6 - ???? ) = 0Where ???? can be any value. Therefore, there is no one definite answer.

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please help i will give points

Answers

The value of m, n and w are 92, 48 and 88 respectively

What is sum of angle in a triangle?

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon( 3sided polygon). The sum of angles In a polygon is 180. i.e A+B +C = 180

In the triangle above, The triangle is divided into two.

42+36+w = 180

88+w = 180

w = 180 - 88

w = 92°

From the law of the law of exterior angle of a triangle which states that; The exterior angle of a triangle is equal to the sum of opposite angles.

Therefore;

92 = n + 44

n = 92-44

n = 48°

w = 180-92( angles on a straight line)

w = 88°

Therefore the value of m, n, w are 92, 48 and 88 respectively

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The length of a rectangle is twice as long as it’s width. it’s perimeter is 18 in. How long and how wide is the rectangle?

Answers

Answer: Let's start by using algebra to solve the problem.

Let's call the width of the rectangle "w". Then we know that the length of the rectangle is twice the width, or "2w".

The formula for the perimeter of a rectangle is:

P = 2l + 2w

where P is the perimeter, l is the length, and w is the width.

We know that the perimeter is 18 inches, so we can substitute the values we have:

18 = 2(2w) + 2w

Simplifying:

18 = 4w + 2w

18 = 6w

Dividing both sides by 6:

w = 3

So the width of the rectangle is 3 inches.

To find the length, we can use the fact that it is twice the width:

l = 2w = 2(3) = 6

So the length of the rectangle is 6 inches.

Therefore, the rectangle is 6 inches long and 3 inches wide.

enjoy!

I NEED HELP ON THIS ASAP!

Answers

I believe it’s going to be 14/94 correct me if I’m wrong
Answer
Explanation

Please ASAP Help
Will mark brainlest due at 12:00​

Answers

Answer:

Plot the point on 1

Step-by-step explanation:

Answer: 1

Step-by-step explanation: There are 10 space on the number line between the two pts. Since we are finding a 1:4 ratio we will need to divide these 10 space by 5.

[tex]10/5=2[/tex]

Which means that the point is two spaces away from T. Which is point 1 on the number line.

A shop is having a sale. All items are reduced by 20%. Work out the price of an item that is normally £120

Answers

The price of an item that is normally £120 after a 20% discount is £96.

To find the price of an item that is normally £120 after a 20% discount,

Calculate the discount amount: To find the discount amount, multiply the original price (£120) by the discount rate ( 20% ) in decimal form:

Discount amount = Original price x Discount rate

= £120 x 0.2

= £24

Calculate the sale price: To find the sale price, subtract the discount amount from the original price:

Sale price = Original price - Discount amount

= £120 - £24

= £96

Therefore, the sale price is £96

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A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is $9, and tickets cost $20 per person, including tax. Write and solve an inequality which can be used to determine

p, the number of people who can go to the amusement park.

Answers

Answer:

Hello, your answer is 10

Step-by-step explanation:

Have a good day UwU

simplify 3 c -9 d+7 c+5 d

Answers

Collect like terms

10c-9d+5d

10c-4d


Solution:

10c-4d
3c +7c-9d+5d
10c-4d
Answer:10d-4d

The sum of the areas of the two squares on the legs ( a and b ) equals the area of the square on the hypotenuse ( c )?

Answers

Answer:  A^2 + B^2 = C^2

Step-by-step explanation:

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Maggie has a bag of different colored marbles the probability of picking an orange marble is 3 out of 10 what is the probability that Maggie will not pick an orange marble is it 3% ,7%, 30%, or 70%

Answers

Answer:

70%

Step-by-step explanation:

3 out of the 10 marbles are not orange, so 7/10 chance you don't, and then you can multiply by 10, and then you have 70 percent

exercise 3.2.5: facts about power sets - true or false. help outline let x be a finite set. for each statement, indicate whether the statement is true or false, or whether more information about x is required to determine if the statement is true.

Answers

The given facts about power sets: Statement 1: False, Statement 2: True, Statement 3: True.

Statement 1: The power set of X is a subset of X. False. The power set of X, denoted by P(X), is a set containing all subsets of X. However, X is not a subset of P(X).

Statement 2: The cardinality of P(X) is greater than the cardinality of X. True. Since the power set of X contains all subsets of X, it has a higher cardinality than X. This can be proven with the equation |P(X)| = 2^|X|.

Statement 3: The cardinality of the power set of the empty set is 1. True. The empty set, denoted by Ø, has no elements, and therefore the power set of the empty set, P(Ø), has one element, which is the empty set itself. Therefore, |P(Ø)| = 1.


In conclusion, each statement is either true or false depending on the given information.

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The width of a box is two-third of it's length and height is one-third of it's length. If the volume of the box is 384 cubic meter, find the dimensions of the box.​

Answers

Answer:

Length - 12 m, width - 8m, height - 4 m

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

The relation between dimensions of the box:

w = (2/3)l;h = (1/3)l;V = 384 m³.

Use volume equation and find the value of l:

V = lwh384 = l*(2/3)l*(1/3)l384 = 2/9l³l³ = 384*9/2l³ = 1728l = ∛1728l = 12 m

Find the width and height:

w = (2/3)*12 = 8 mh = (1/3)*12 = 4 m

The box plot shows a comparison of the heights of gymnasts and basketball players. The mean absolute deviation for each group is approximately 2.

How many mean absolute deviations describe the difference between the two medians? ​

See image below:
Please give me an answer, work doesn't have to be shown at all, thank you so much.

Answers

Answer:

6.75 in

Analysis:

[tex]\text{The average heights of gymnasts is 60 in, the other is 75 in.}[/tex]

[tex](60+75)\div2=6.75 \ \text{in}[/tex]

Solve the equation.

8.88=4.44(x−7)
x = ?

Answers

Answer: x=9

Step-by-step explanation:

Simplify the expression

Add 777 to both sides

Simplify the expression

Divide both sides by the same factor

Simplify the expression

x=9

Move the variable to the left-hand side and change its sign

calculate the difference and then divide both sides:)

how do you delete your account?

Answers

Answer: go to your profile and you'll see the account or profile I

think,  and you go to settings and it it will probably say something like delete the account or give you the choice to.

Step-by-step explanation:

Answer:

I think that you click on your profile picture, then go to your settings from there, and then you eventually find the cancel account or delete account choice.

Step-by-step explanation:

you do the above

HELP PLEASE
NUMBER 18
Answer is (1,1)​

Answers

i. The points of intesection of the common chords of the curve x² + y² = 4 and y² = 3x are

(1, √3) and (1,-√3)

ii. The points of intesection of the common chords of the curve x² + y² = 4 and x² - 4y + 1 = 0 are

(√3, 1) and (-√3, 1)

What are common chords of a circle?

The common chords of circles are the chords that pass through the points of intersection of the curves.

i. Given the curve x² + y² = 4 and y² = 3x. We desire to find their points of intesection of the common chords. We proceeds as follows.

Since  x² + y² = 4 and y² = 3x. Substituting the second equation into the first, we have

x² + y² = 4 and y² = 3x.

x² + 3x = 4

Re-arranging, we have

x² + 3x - 4 = 0

Factorizing the quadratic equation, we have

x² - x + 4x - 4 = 0

x(x - 1) + 4(x - 1) = 0

(x + 4)(x - 1) = 0

⇒ x + 4 = 0 and x - 1 = 0

⇒ x = - 4 and x = 1

Now, y² = 3x.

⇒ y = ±√3x

So.substituting x = -4 into the equation, we have

y = ±√3x

y = ±√(3 × -4)

= ±√(-12)

Since the square root is negative, this answer is invalid.

Substituting x = 1 into y, we have

y = ±√3x

y = ±√3(1)

y = ±√3

So, the points of intersection are (1, √3) and (1,-√3)

ii. Given the curve x² + y² = 4 and x² - 4y + 1 = 0. We desire to find their points of intesection of the common chords. We proceeds as follows.

Since  x² + y² = 4 and x² - 4y + 1 = 0. From the second equation, we have

x² = 4y - 1

Substituting this equation into the first, we have

x² + y² = 4 and x² = 4y - 1

y² + 4y - 1 = 4

Re-arranging, we have

y² + 4y - 1 - 4 = 0

y² + 4y - 5 = 0

Factorizing the quadratic equation, we have

y² - y + 5x - 5 = 0

y(y - 1) + 5(y - 1) = 0

(y + 5)(y - 1) = 0

⇒ y + 5 = 0 and y - 1 = 0

⇒ y = - 5 and y = 1

Now, x² = 4y - 1

⇒ x = ±√(4y - 1)

So, substituting y = -5 into the equation, we have

x = ±√(4y - 1)

x = ±√[(4 × -5) - 1)]

= ±√(- 20 - 1)

= ±√-21

Since the square root is negative, this answer is invalid.

Substituting y = 1 into x, we have

x = ±√(4y - 1)

x = ±√(4(1) - 1)

x = ±√(4 - 1)

x = ±√3

So, the points of intersection are (√3, 1) and (-√3, 1)

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Pls awnser all they easy (brainlist)

Answers

The given expressiοn is equivalent tο -19.5b - 6.9.

What is an expressiοn?

A finite cοmbinatiοn οf symbοls that are well-fοrmed in accοrdance with cοntext-dependent principles is referred tο as an expressiοn οr mathematical expressiοn. Unknοwn variables, integers, and arithmetic οperatοrs are the cοmpοnents οf an algebraic expressiοn.

Here, we have

Given: 3(-4.5b-2.1)-(6b+0.6)

We have tο find the expressiοn that is equivalent tο the given expressiοn.

= 3(-4.5b-2.1)-(6b+0.6)

= -13.5b - 6.3 - 6b - 0.6

= -19.5b - 6.9

Hence, the given expressiοn is equivalent tο -19.5b - 6.9.

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can yall help me with this this is due on Saturday pls help me!!!

Answers

Therefore , the solution of the given problem of fraction comes out to be Y is therefore equivalent to 26/5.

A fraction is what?

Any combination of like-sized pieces or portions can represent a whole. Standard English defines "quantity" as "a portion" of a particular measure. 8, 3/4. Wholes also include fractions. In mathematics, numerals are expressed by the ratio of quotient to ratio. Every one of these fractions of integers are simple fractions. The fraction contains a fraction, but the fraction's remainder is a challenging fraction. because the values, 4.91, and numerators of real fractions can vary.

Here,

We can begin by isolating the variable with one side of the solution in order to solve for y. The reciprocal of fraction on the left side of the equation can be used to add both sides of the equation to achieve this:

=> 2/5 = (y - 4)/3

=> 3 * 2/5 = y - 4 [add 3 to both ends]

=> 6/5 = y - 4 [simplify]

=> y = 6/5 + 4 [Adjust both ends by 4]

=> y = 6/5 + 20/5 Using the denominator 5 as the corresponding fraction, write 4.

=> y = 26/5

Y is therefore equivalent to 26/5.

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write an equation of the line that passes through (-1,0) and (0,0)
y=

Answers

Answer:

y = 0

Step-by-step explanation:

the 2 points (- 1, 0 ) and (0, 0 ) both have the same y- coordinate.

this indicates the line is horizontal with equation

y = c ( c is the value of the y- coordinates the line passes through )

both points have a y- coordinate of 0 , then

y = 0 ← equation of line

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I need the. answer asap Agricultural Videos QuestionsHow Robots Are Saving the Dairy FarmName some technologies you saw on the dairy farm:_________________________________________________________Aquaculture system promises eco-friendly fish farming futureWhat is aquaculture and how does it impact society? ________________________________________________________Agriculture EvolvedWhy are so many of the vehicles in the video equipped with GPS? _________________________________________________________The Agricultural RevolutionWhat is a reason why some people liked the tractor more than horses?_________________________________________________________What is a reason why some people liked horses more than the tractor?_________________________________________________________ Explain the importance of continually improving development knowledge and practice Read the excerpt from "The Most Dangerous Game."The bed was good, and the pajamas of the softest silk, and he was tired in every fiber of his being, but nevertheless rainsford could not quiet his brain with the opiate of sleep. he lay, eyes wide open. once he thought he heard stealthy steps in the corridor outside his room. he sought to throw open the door; it would not open. he went to the window and looked out. his room was high up in one of the towers. the lights of the chateau were out now, and it was dark and silent, but there was a fragment of sallow moon, and by its wan light he could see, dimly, the courtyard. there, weaving in and out in the pattern of shadow, were black, noiseless forms; the hounds heard him at the window and looked up, expectantly, with their green eyes. rainsford went back to the bed and lay down. by many methods he tried to put himself to sleep. he had achieved a doze when, just as morning began to come, he heard, far off in the jungle, the faint report of a pistol. "the most dangerous game," richard connell what details from the narration show that rainsford is worried about what will happen the next day? check all that apply. a. the bed was good b. he was tired in every fiber of his being c. could not quiet his brain lay, eyes wide open d. high up in one of the towers .how can air describe mass. Answer this question Verify(N+3)!n+ =(n+1)(n+2)(n+3) HELP OR I GONNA GET A 0 1. Solve the equation-6+52.Which symbol correctly completes the statement?4 + (-8) ___ 6 + (-8) + (-6)3.You currently have a balance of $34 in your checking account. You then write a check for $76 dollars to pay for groceries. Finally, you deposit a check for $30.What is your new balance?$12-$12-$72$72 (PLS HELP!!!) Which best describes the ecosystem of a lake or pond? A. They are aquatic because they are made of land. B. They are aquatic because they are made of water. C. They are terrestrial because they are made of land. D. They are terrestrial because they are made of water. Can someone please help me if they cannnn :( Marjorie teaches piano. The equation P = 35s models therelation between her weekly profit, P, in dollars and the numberof student lessons, s, that she teaches.a. Find Marjorie's profit for a week when she teaches nostudent lessons.b. Find the profit for a week when she teaches 20 studentlessons.c. Interpret the slope and P-intercept of the equation.W Description on the roles and responsibilities of the taxauthority Please give me a detailed answer. Patients arrive at a hospital emergency department according to a Poisson distribution with an average of 9 per hour. (a) What is the probability that exactly 7 patients will arrive during a 90 minutes period? (b) What is the probability that at least 30 minutes will pass until the next patient arrives? (c) If one hour has passed and no patient has arrived, what is the probability that the next patient arrives during the following 20 minutes? Problem 4: [9 points] Patients arrive at a hospital emergency department according to a Poisson distribution with an average of 9 per hour. (a) What is the probability that exactly 7 patients will arrive during a 90 minutes period? (b) What is the probability that at least 30 minutes will pass until the next patient arrives? (c) If one hour has passed and no patient has arrived, what is the probability that the next patient arrives during the following 20 minutes? The "cradle of Chinese civilization" was an ancient river valley in northeastern China where there was a civilization around4,000 BCE. Around what river, sometimes called "China's sorrow," did this ancient civilization form?