What is the approximate area of the shaded sector in the circle shown below?
105°
18 cm
A. 594 cm2
B. 33.0 cm2
C
C. 16.5 cm2
D. 297 cm2

What Is The Approximate Area Of The Shaded Sector In The Circle Shown Below?10518 CmA. 594 Cm2B. 33.0

Answers

Answer 1

Answer:

297 cm^2

Step-by-step explanation:

297 centimeters squared

Answer 2

The requried area of the shaded sector is 296.73 cm², which is closest to option D: 297 cm².

What is an area of a sector of a circle?

The area of a sector is the fractional part of the area of a full circle that is enclosed by the central angle of the sector. To find the area of a sector, we can use the formula:

Area of sector = (θ/360) x πr^2

Here,
To find the area of the shaded sector, we need to first find the area of the whole circle and then multiply it by the fraction of the circle that is shaded.

The area of a circle with a radius of 18 cm is given by A = πr², where r is the radius. So, the area of the whole circle is:

A = πr² = π(18 cm)² = 324π cm²

To find the fraction of the circle that is shaded, we need to find the central angle of the sector. The central angle of the sector is given as 105°. The fraction of the circle that is shaded is equal to the central angle of the sector divided by the total central angle of the circle (which is 360°):

Fraction of circle shaded = Central angle of sector / Total central angle of a circle

= 105° / 360°

= 7/24

Therefore, the area of the shaded sector is:

Area of shaded sector = Fraction of circle shaded x Area of the whole circle

= (7/24) x (324π cm²)

≈ 296.73 cm²

So, the approximate area of the shaded sector is 296.73 cm², which is closest to option D: 297 cm².

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Related Questions

Rank the following tools for measuring length from those that give the least precise results to the most precise results.

Highway mile marker

A yardstick

A length of a person's foot

A five - foot long branch from a tree​

Answers

Answer:

option 3,4,2,1

Step-by-step explanation:


Highway mile marker

A five - foot long branch from a tree

A length of a person's foot

A yardstick

-6x+15=45
what does x equal/

Answers

Answer:

6x Would not be considered as a answer but it is known as a unknown so the answer would be -60

Step-by-step explanation:

This is because it is

Passenger trains leave the station every
40 minutes. Freight trains leave every
30 minutes. If a passenger train and a
freight train just left at the same time, how
long will it be before one of each train
departs at the same time again?

Answers

When Passenger trains leave the station every 40 minutes and  Freight trains leave every 30 minutes, If  a passenger train and a freight train just left at the same time, then it will take 120 minutes for one of  each train departs at the same time again

Given,

The passenger trains leave the station every 40 minutes

Freight trains leave every 30 minutes

We have to find the LCM

Prime factorization

30=2×3×5

40=2×2×2×5

LCM(30,40)= 2×2×2×3×5=120

Hence, when Passenger trains leave the station every 40 minutes and  Freight trains leave every 30 minutes, If  a passenger train and a freight train just left at the same time, then it will take 120 minutes for one of  each train departs at the same time again.

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Find the value of x.

Answers

Answer:

27.5

Step-by-step explanation:

Answer:

(8-2)180

6*180= 1080

1080- 119- 140- 124- 132- 132- 102 = 331

6x +6x = 331

12x= 331

x= 27.5833

6(x)= 165.5

165.5 +165.5 + 119+ 140 + 124+ 132 + 132+ 102= 1080

What is the value of the expression below?
(12^1/6)^6
A. 8
B. 64
C. 12
D. 1

Answers

the answer is C :)))

I really do not understand and need the answer!

You have just been hired as New York’s premier Real Estate Agent! In your company, you will make a 7% commission. The real estate market in New York is booming! As the realtor calculates your potential commission if you sell the property for the list price.
If the listing price for Candy Cane Creek is $864, 550, how much commission would you receive?

Answers

Answer: $60,518.50

Step-by-step explanation: Multiply 864,550 and 0.07 because you need to find the commision.

Answer:

Hello

Step-by-step explanation:

Calculate the radicand of f(x)=x^2+20x+97 and state what it tells you about the roots of the function. Then solve the function using the quadratic formula.

Answers

Answer: The roots are x=-10 +- root 3.

Step-by-step explanation:

Write 7 9/10 as an improper fraction

Answers

Answer:

7910=7910

Step-by-step explanation:

7 9/10 as an improper fraction is 79/10.

Given is a mixed fraction 7 9/10 we need to convert it into improper fraction,

To convert the mixed number 7 9/10 into an improper fraction, you need to follow these steps:

Step 1: Multiply the whole number (7) by the denominator (10): 7 x 10 = 70.

Step 2: Add the numerator (9) to the result from Step 1: 70 + 9 = 79.

Step 3: Write the sum from Step 2 as the numerator of the fraction.

Step 4: Keep the denominator (10) the same.

Therefore, 7 9/10 as an improper fraction is 79/10.

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A display has
6
66 packs of marbles with a total mass of
629

g
629g629, start text, g, end text. The packaging of each pack has a mass of
2
3

g
3
2

gstart fraction, 2, divided by, 3, end fraction, start text, g, end text and each marble has a mass of
4
1
2

g
4
2
1

g4, start fraction, 1, divided by, 2, end fraction, start text, g, end text.
Which equation can we use to determine
m
mm, the number of marbles per pack?

Answers

Answer:

D) 6(4 1/2 m + 2/3)=629

Step-by-step explanation:

A display has 6 packs of marbles with a total mass of 629g. The packaging of each pack has a mass of 2/3 g and each marble has a mass of 4 1/2 g.

Which equation can we use to determine m, the number of marbles per pack?

A 6*4 1/2 m+ 2/3=629 B 6 m(4 1/2+ 2/3)=629 C 6 m+4 1/2+ 2/3=629 D 6(4 1/2 m + 2/3)=629

================================

A total mass is the sum of 6 packs and each pack is:

m marbles + packaging = 4 1/2 m + 2/3

We can put it as equation:

6(4 1/2m + 2/3) = 629

Correct option is D

Answer:

D. 6(4 1/2 m + 2/3)=629

Step-by-step explanation:

I did it on khan academy so theres no way this is incorrect.

How do you solve this equation step-by-step? (below)


4a + 8 - 2a - 3 = 45

Answers

Answer:

a=20

Step-by-step explanation:

4a+8-2a-3=45

-8 on both sides

4a-2a-3=37

+3 on both sides

4a-2a=40

2a=40

a=20

Answer:

a = 20

Step-by-step explanation:

Let's understand it quickly,

4a + 8 - 2a - 3 = 45

Gather the like terms on RHS and LHS,

4a - 2a = = 45 - 5

2a = 40

a = 40/2

a = 20

Hope it helps!<3

rational numbers
-2 + -([tex]\frac{1}{2}[/tex]+[tex]\frac{1}{3}[/tex]+[tex]\frac{1}{5}[/tex])

a)-[tex]\frac{1}{30}[/tex]

b)[tex]\frac{-29}{30}[/tex]

c)[tex]\frac{29}{30}[/tex]

d)1[tex]\frac{1}{30}[/tex]

Answer in fraction

Answers

The fraction is simplified to - 29/30 . Option B

What is a fraction?

A fraction is simply known as the part of a whole.

Types of fractions;

Mixed fractionsSimple fractionsProper fractionsImproper fractions

Given the fraction;

-2 + ( 1/ 2 + 1/ 3 + 1/ 5 )

Find the lowest common multiple

- 2 + (  15 + 10 + 6 /30 )

-2 + ( 31/30)

expand the bracket by finding the lowest common multiple, we have;

-60 + 31 / 30

Add the numerators

- 29/30

Thus, the fraction is simplified to - 29/30 . Option B

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Joey made a deposit into
an account that earns 6%
simple interest. After 3
years, Joey had earned $400.
How much was Joey’s initial
deposit? __________________

Answers

Answer : $ 335.85

Step-by-Step Explanation:

Cost price of an item is Rs 600. If the selling price is Rs 780, then the profit percent is​

Answers

Answer:

Profit percentage=30%

Step-by-step explanation:

The profit percentage=profit/cost price×100%

but we can calculate profit as=selling price-cost price

profit=Rs780-Rs600=Rs180

Now substitute the profit value into the formula

Profit percentage=Rs180/Rs600×100%=30%

C.P of an item= Rs.600

S.P of an item = Rs. 780

Profit = SP- CP

= Rs. 780- Rs.600

=Rs.180

Now, profit percent= profit÷ CP × 100%

= 180 ÷ 600 × 100%

=30%

SOLVED! I HOPE ITS RIGHT!

the double number line shows that 4 bottles of water cost 10 dollars at a music festival ​

Answers

Answer:

That means that each water is $2.50, das crazy tho

Step-by-step explanation:

Let U​ = { 14​, 15​, 16​, 17​, 18​, 19​, 20 ​},
A​ = { 16​, 17​, 18​, 19 ​}.
Use the roster method to write the set A′.

Answers

Complement of A set in roster form will be {14,15,20}.

U​ = { 14​, 15​, 16​, 17​, 18​, 19​, 20 ​},

A​ = { 16​, 17​, 18​, 19 ​}.

A'= {14,15,20}

A set is mathematically represented in a straightforward way using roster notation. The elements (or members) of a set are listed in a row inside the curly brackets in the roster form. If the set contains more than one element, a comma is used in a roster notation to indicate the separation of every two elements. A list of the elements of a set, each separated by a comma, enclosed in a set of curly brackets, can be used to describe the contents of the set. Roster form is the term for this method of setting forth a set.

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Find the area.
5 cm
4 cm
3 cm

Answers

Answer:

The area is 60

Step-by-step explanation:

You had to multiply 5×4×3

Answer:

my math teacher said that to find the area multiple all the numbers together so I got 47

PLS HELP!!! I am gonna fail

Answers

Answer:

Help with what? You didn't post anything.

Step-by-step explanation:

i don’t see a picture there

Suppose we want to choose 5 colors, without replacement, from 18 distinct colors.

(a) If the order of the choices does not matter, how many ways can this be done?

(b) If the order of the choices matters, how many ways can this be done?

Answers

Considering the definition of permutation and combination:

the number of ways of choosing 5 colors from 18 distinct colors (the order doesn't matter) is 8,568.the number of ways of choosing 5 colors from 18 distinct colors (the order of choices matters) is 1,028,160.

Definition of Permutation

Permutation is placing elements in different positions. So, permutations of m elements in n positions are called the different ways in which the m elements can be arranged occupying only the n positions.

In other words, permutations (or Permutations without repetition) are ways of grouping elements of a set in which:

take all the elements of a set.the elements of the set are not repeated.order matters.

To obtain the total of ways in which m elements can be placed in n positions, the following expression is used:

[tex]mPn=\frac{m!}{(m-n)!}[/tex]

where "!" indicates the factorial of a positive integer, which is defined as the product of all natural numbers before or equal to it.

Definition of combination

Combinations of m elements taken from n to n (m≥n) are called all the possible groupings that can be made with the m elements in such a way that not all the elements enter; the order does not matter and the elements are not repeated.

To calculate the number of combinations, the following formula is applied:

[tex]C=\frac{m!}{n!(m-n)!}[/tex]

This case

In this case, you know we want to choose 5 colors, without replacement, from 18 distinct colors. This is:

We want to choose 4 colors: n= 5The total number of distinct colors: m= 18

(a) If the order of the choices is not taken into consideration, you use a combination as follow:

[tex]C=\frac{18!}{5!(18-5)!}[/tex]

Solving:

[tex]C=\frac{18!}{5!13!}[/tex]

C= 8,568

Finally, the number of ways of choosing 5 colors from 18 distinct colors (the order doesn't matter) is 8,568.

(b) If the order of the choices matters, you use a permutation as follow:

[tex]18P5=\frac{18!}{(18-5)!}[/tex]

Solving:

[tex]18P5=\frac{18!}{13!}[/tex]

18P5= 1,028,160

Finally, the number of ways of choosing 5 colors from 18 distinct colors (the order of choices matters) is 1,028,160.

Learn more about

permutation:

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combination:

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I
Line segment LN has endpoints L(-2, -3) and N(3, 7).
Which of the following determine the coordinates of point M located at the
of LN?

Answers

Answer:

(1/2, 2)

Step-by-step explanation:

Use Midpoint Formula

Label points L and N

M = (x1 + x2/2, y1 + y2/2)

M = ( -2 +3/2, -3 + 7/2)

M = (1/2, 2)

This one as well please

Answers

Answer:

1/11

Step-by-step explanation:

If there are 11 counters and there's only 1 white one, that makes it to where there's only a 1 in 11 chance of you choosing that one white counter.

verify -(-x)=x for x =12/15 please answer fast​

Answers

Answer:

-(-12/15) = 12/15

Step-by-step explanation:

-(-x) = x

Two minuses, one minus outside the bracket and one inside, make a positive. Thus:

-(-12/15) = 12/15

Lynne needs to borrow $9500 for cosmetic surgery she obtains a loan from her grandmother for 24 months at a simple interest rate of 9.3% what is the loans future value?​

Answers

Answer:

$11267

Step-by-step explanation:

Loan Future value = amount borrowed + interest

Amount borrowed = 9500

Interest = Principal * Rate * Time/100

Interest = 9500*9.3 * 2/100

Interest = 95*9.3 * 2

Interest = $1767

Loan Future amount = 9500 + 1767

Loan Future amount = $11267

What is the slope? (5,6) and (-1, 4)

Answers

Answer:

1/3

Step-by-step explanation:

y2-y1/x2-x1

4-6/-1-5

-2/-6

1/3

Answer: 1/3 would be the slope of (5,6) and (-1,4)

PLEASE HELP ME????!!!?

Answers

Step-by-step explanation:

what is the question ?

check everything that applies to the angles 1 and 2 ?

in that case :

two angles are adjacent angles, when they share a vertex and side.

so, yes, adjacent angles is true

vertical angles are angles that are opposite of each other when two lines cross.

so, no, vertical angles is false.

two angles are complementary, when they are adjacent and have combined 90°.

so, yes, complementary angles is true.

2 angles are supplementary, when they are adjacent and have combined 180°.

so, no, supplementary angles is false.

a linear pair of angles is basically the same as supplementary angles.

they are formed when two lines intersect each other (at a single point). The angles at the intersection point are linear if they are adjacent to each other, and their sum is always equal to 180°.

so, no, linear pair is false.

Look at my picture, what’s the missing statement in step 4?

Answers

Answer:

Step-by-step explanation:

∠ACE=∠ BCD (reflexive property )

It is common to both the angles or both the angles represent the same angle.

We have to prove two triangles are similar.

Here we show two angles of different triangles are equal.

Hence similar by AA  

Answer:

m<CBD is congruent to m<DBC

Step-by-step explanation:

Reflexive property states that any real number, for example a, is equal to itself. < cbd is congruent to < dbc :)

What are the slopes of the graphs

Answers

Answer:

1. 1/3

2. -2

3. 0

4. -2

5. 2/3

6. 0

Step-by-step explanation:

I'm going left to right for each graph just for clarification so you don't get confused.

I hope this helps and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!

what are the slope and the y-intercept of the linear function that is represented by the table​

Answers

Answer:

D: The slope is 3, and the y-intercept is 3/2

Write a real world problem that you can model with the two step equation 5x+7=10.

Answers

The equation can be expressed as the product of 5 and a number increased by 7 is equal to 10.

Solving linear equation

Linear equation are equations that has a leading degree of 1. The standard linear equation is given as y = mx + b

Given the expression 5x + 7 = 10

Subtract 7 from both sides to have:

5x+ 7 - 7 = 10 -7

5x = 10 - 7

5x = 3

5x - 3 = 0

5x = 3

x = 3/5

The equation can be expressed as the product of 5 and a number increased by 7 is equal to 10.

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A recipe for chocolate chip cookies with toffee bits and walnuts serves 8 people and needs 3 cups of flour. If Zachary wants to make the recipe for 14 people, how many cups of flour should he use?

I will mark you as the brainliest IF answered correctly.

Answers

Answer:

Im pretty sure it's 5.25 cups of flour

Step-by-step explanation:

so we know that it takes 3 cups for 8 people and we don't know the amount for 14 people so write it as a fraction and cross multipy

For the equation

8/3=14/x

The cross product is

8*x=3*14

Solving for x

x=3×14/8

and reducing

x=5.25

Find the equation of the line in SLOPE-INTERCEPT form if the slope is 3 and passes through the point (3,5)

A.y = 3x - 4
B.y = 3x -5
C.y = 3x + 5
D.y-5 = 3(x-3)

Answers

A. Y= 3x-4
That should be the answer
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