A circle with radius \pink{10}10start color #ff00af, 10, end color #ff00af has a sector with a central angle of \purple{\dfrac{2}{5}\pi} 5 2 ​ πstart color #9d38bd, start fraction, 2, divided by, 5, end fraction, pi, end color #9d38bd radians . What is the area of the sector? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Answers

Answer 1

Answer:

Area of the sector = [tex]20\pi units^{2}[/tex]

Step-by-step explanation:

Area of a sector = [tex]\frac{\theta}{360} * \pi r^{2}[/tex]

Given radius r = 10units

[tex]\theta = \frac{2\pi}{5}[/tex]

[tex]\pi = 3.14[/tex]

substituting the given values into the equation above;

Area of the sector = [tex]\frac{2\pi}{5*360} * \pi *10^{2}[/tex]

Area of the sector [tex]=\frac{100\pi}{5}[/tex]

Area of the sector = [tex]20\pi units^{2}[/tex]


Related Questions

5m- 3 = 4m +30
can you please help me with this problem ​

Answers

Answer:

m=33

Step-by-step explanation:

To solve this, we need to get the variable, m, by itself. Perform the opposite of what is being done to the equation. Keep in mind everything done to one side, must be done to the other.

5m-3=4m+30

3 is being subtracted from 5m. The opposite of subtraction is addition, so add 3 to both sides.

5m-3+3=4m+30+3

5m=4m+33

4m is being added on to 33. The opposite of addition is subtraction, so subtract 4m from both sides.

5m-4m=4m-4m+33

5m-4m=33

m=33

Answer: M=33

You have to get the X by itself

Starting by subtracting the m valued numbers
(4m - 5m)

Then add the whole regular numbers
(3 +30)=(1m=33)

Leaving us with the answer
M=33

A snail creeks up a plank 8 cm a day and slides back down 15 millimeters each night. Write a numerical pattern showing the number of millimeters where the snail changes direction. On which day would the snail have moved 275 millimeters from its starting point?

Answers

Answer: The 5th day

Step-by-step explanation:

Total daily movement :

Upward movement = 8cm

Downward movement = 15mm

Converting the upward movement to millimeters ; 1 centimeter = 10 millimeters

Upward movement = 8 × 10 = 80 millimeters

Daily movement can beodelled using the equation :

Distance = (80mm - 15mm)h

Where h is the number of days

Movement per day = 65mm

To move a distance of 275mm from its starting position:

Number of days = 275mm/ 65mm

Number of days = 4.23

Therefore the snail would have moved 275 millimeters from its starting point on the 5th day

James sets off from home on his bike.The graph shows his journey.A)what is James average speed on his outward journey?B)How long does he stop for?C)What is James average speed on his homeward journey?

Answers

Answer:

20,45,15

Step-by-step explanation:

a)20 km/h

b)45 minutes

c)15 km/h

Answer:

Step-by-step explanation:

a)20

b)45

c)15

Which of the following functions has:

Domain: LaTeX: \left(-\infty,\:\infty\right)( − ∞ , ∞ )

Range: [LaTeX: 0,\:\infty0 , ∞ )

Answers

Answer:

We can't see the functions. We also can read the domain or the range. Personal suggestion is to write the domain  and range (-infity, 0) but substitute in what applies to your situation.

Step-by-step explanation:

This is a better photo I can’t figure this one out. Any help?

Answers

Answer:

the answer is 4

Step-by-step explanation:

because i did it on desmos that is a graphic calculator

It’s probably the last one #4

*WILL GIVE BRAINLIEST*
annabelle collected data on the favorite superhero of the students in her class. the table shows the relative frequencies of rows for the data collected:
*picture attached above*

based on the data, which superhero is most likely to be the favorite?

a.) superman
b.) spiderman
c.) batman
d.) wonder woman

Answers

Answer:

B - Spider-Man

Step-by-step explanation:

Which property of real numbers is shown below?

3 + ((-5) + 6) = (3 + (-5)) + 6

Answers

Answer:

Associative property

Complete questions 6,7,8

Answers

Answer:

Step-by-step explanation:

80x^2y=16*5*x^2*y=4^2*x^2*5*y=(4x)^2*5*y

56x^3*y^2=7*8x^3y^2=7*2^3*x^3*y^2=(2*x)^3*7*y^2

81xy^2=9^2y^2x=(9y)^2*x

help me!! show work pls

Answers

Answer:

17.2

Step-by-step explanation:

We need to use the law of sines

sin A           sin B

------------ = ----------

a                   b

sin 25           sin 27

------------ = ----------

16                   x

Using cross products

x sin 25 = 16 sin 27

Divide each side by sin 25

x = 16 sin 27 / sin 25

x =17.18772863

Rounding to the nearest tenth

x = 17.2

Does anyone think your life is a video game?

Answers

Answer:Yes!

Step-by-step explanation:

Answer:

Yes i really do because i love video games i play Roblox and that i always play and that i feel like i am in Royale High For Real

Step-by-step explanation:

Royale High is my favorite game

Determine the measure of angle 1

Answers

56

360-248=112
inscribed angle so 112/2=56
the answer you’re looking for is D-56

What is the value of x in 5x + 5 = 8 3/4

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

5x + 5 = 8 3/4

- 5 from both sides

5x = 15/4

/5 on both sides

x = 3/4

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

Determine the answer to (−3) + (−5) and explain the steps using a number line

Answers

Answer:

-8

Step-by-step explanation:

When adding a negative number on a number line, we move to the left. This is because adding a negative number is the same as subtracting. If we start at -3 and move 5 to the left, we will end at -8.

Please I really need the answer for this

Answers

Answer:

The third option

Step-by-step explanation:

GPE = mgh

Since the baseball has a larger mass as compared to the ping pong ball and is 50 feet off the ground which means that it has the highest height, the GPE will be the greatest

The figure shows two regular pentagons. What is the perimeter of the larger pentagon?

A. 5n

B. 10n

C. 15n

D. 60n

Answers

Answer:

As shown in picture,

perimeter of inside pentagon: p1 = n + n + n + n + n = 5n

ratio between inside pentagon and outside pentagon: r = 6/(6 + 6) = 1/2

=> perimeter of outside pentagon: p2 = 2 x p1 = 2 x 5n = 10n

=> Option B is correct

Hope this helps!

:)

Katy buys 2 DVDs every 2 weeks.How many DVDs. Will she buy in 14 weeks?​

Answers

Answer:

Step-by-step explanation:

If Katy buys 2 DVDs every 2 weeks, it the same as saying 1 DVD every week.

14 ÷ 2 = 7

2 × 7 = 14

1 × 14 = 14

Answer:21 dvds

Step-by-step explanation:

Set up a proportion in terms of DVDs to weeks and solve.

3/2 = x/14

(2)(x) = (3)(14)

2x = 42

x = 21

Therefore, Katy will buy 21 DVDs in 14 weeks.

brainliest pls?

520 is 65% of what number?

Answers

65% * x = 520
65/100 * x = 520
x= 520*(100/65)
x=800

Answer is 800

PLZPLZPLZPLZ help me!

Answers

Answer:

12 square units.

Step-by-step explanation:

We must find the area of each shape and add together. The area of a triangle is 1/2 base times height. The smaller triangles area is 2 and the larger triangle's area is 6. The area of the square is 4... so when all added together, we have 12.

Find the volume of this rectangular prism.

Answers

Answer:

200 units³

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

V = lwh

where l is the length, w is the width, and h is the height

Substitute with the given values:

V = lwh

V = (10)(4)(5)

Multiply:

V = (10)(4)(5)

V = (40)(5)

V = 200

Therefore, the volume of the rectangular prism is 200 cubic units.

Paul creates a CD by mixing together
songs that are either 3 minutes or
4 minutes long. His CD has 22 songs
and is 78 minutes long. How many
three-minute and how many four-minute
songs did he use?

Answers

Answer:

Paul created 10 three minutes songs and 12 four minutes songs.

Step-by-step explanation:

The song he created on his CD is either 3 minutes long or 4 minutes long.

His CD has 22 songs and is 78 minutes. The number of 3 minutes and 4 minutes song can be calculated below.

Let

a = number of 3 minutes song

b = number of 4 minutes song

number of song = 22

a + b = 22............(i)

3a + 4b = 78.........(ii)

Make a subject of the formula in equation (i)

a = 22 - b

Insert the value of a in equation (ii)

3(22 - b) + 4b = 78

66 - 3b + 4b = 78

b = 78 - 66

b = 12

insert the value of b in equation (i)

a + b = 22

a + 12 = 22

a = 22 - 12

a = 10

Paul created 10 three minutes songs and 12 four minutes songs.

Is the following biconditional statement true or false?
You can play volleyball if and only if you play a sport.

Answers

Answer:

true

Step-by-step explanation:

because you cannot play volley ball if you are not a sport person

3 and 1/3 - 2 and 1/5

Answers

Answer:

1.13333333333

1.13

Step-by-step explanation:

1: Gather all the numbers

2: Use a calculator to subtract the numbers

3: Answer is 1.13

Hope this helps.

A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. How many different combinations of 5 friends could possibly receive the
tickets?
A
13
B. 40
56
D.
64
Reset
Next

Answers

Answer:

D. 56

Step-by-step explanation:

8!/3!x5!= 56

Select ALL the correct answers.

Natalie buys a new car. In the first month, the odometer on the car records 800 miles. From past experience, she expects to drive 900 miles per month.


Select all the functions that can be used to find the number of miles, f(n), recorded on the odometer after n months.

Answers

Answer:

[tex]\begin{aligned}\bullet\ &f(1)=800;f(n)=f(n-1)+900, \text{for $n\ge 2$}\\ \bullet\ & f(n)=900n-100\end{aligned}[/tex]

Step-by-step explanation:

See attachment for the figure.

Using arithmetic sequence with a first term of 800 and a common difference of 900. The general form for such a sequence is given by,

an = a1 +d(n -1)

an = 800 +900(n -1) = 900n -100

If n is the function, this can be written as,

f(n) = 900n -100

When considered as a recursive relation, we find the first term is still 800:

f(1) = 800

and that each term is 900 more than the previous one:

f(n) = f(n-1) +900 . . . . for n ≥ 2

You need to consider that huge numbers of the different answer decisions are debasements of either of these structures, so you should look at them cautiously.

solve in quadratic formula (show work)
[tex]2x^{2} +5x+1=0[/tex]

Answers

Answer:

x= −5±√17/4

Step-by-step explanation:

Is anyone able to help me with this question:
A rectangle with sides 4 cm and 6 cm has the same diagonal as a square.
What is the length of the side of the square.
Give your answer as a surd.

Answers

Answer:

not sure but this info might help you.

Step-by-step explanation:

the diagonal in the rectangle splits it into two right angled triangles, hence the hypotenuse is the diagonal.

once you find the measurement, we all know that a square has all sides equal and the diagonal splits it into 2 equilateral triangles. so, the side of the square =the diagonal's measurement.

What’s the area of the shape

Answers

The answer is 37.68 because you first find the area of the circle which is pie r^2 or 50.24 then you find the fourth of that which is 12.56 so you subtract 12.56 from 50.24 to get the answer of 37.68

Answer:

the answer is 37.68

i hope that helps

A survey asked 247 students what their favorite subject was. Of those students, there were 115 boys. One hundred two students answered that their favorite subject was Social Studies, 50 of which were boys. Forty girls answered that their favorite subject was Math while 25 boys answered English. The marginal frequency of students answering science is 0.1214. The probability that a student who answered science was a girl is 0.667.

5, 10, 20, 25, 30, 45, 50, 52, 70
Use the numbers above to complete a two-way frequency table. Numbers may be used more than once or not at all

Answers

Answer:

so what was the answer?

Step-by-step explanation:

18:10 is equivalent to :5

Answers

Answer:

18:10 is equivalent to 9:5

Step-by-step explanation:

half of 18 is 9 and half of 10 is 5

Answer:

9:5

Step-by-step explanation:

18:10 is equivalent to 9:5 because 10 divided by 2 is 5 so you can do the same for 18. You will get 9 which makes it 9:5.

100 points. WILL MARK BRAINLIEST. EASY QUESTION

Topic: Fractions.

ONLY COMPLETE QUESTION 1

Answers

Answer:

see below

Step-by-step explanation:

2 1/2+ 3 3/16 + 7/8

Get a common denominator of 16

2 8/16 + 3 3/16 + 14/16

5 25/16

5 + 16/16 + 9/16

6 9/16

Subtract this from 8 ft

8 - 6 9/16

Borrow 1 from 8 in the form of 16/16

7 16/16 - 6 9/16

1 7/16

b  1 7/16 - 1 1/3

The common denominator is 48

1 21/48    - 1 16/48

5/48

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