Find the area of the sector

Find The Area Of The Sector

Answers

Answer 1

Find the area of the full circle:

Area = pi x r^2

Area = 3.14 x 17^2

Area = 907.46 square units

A full circle is 360 degrees. The sector is 120degrees.

Multiply the area of the circle by the sector degrees/ full circle degrees

907.46 x 120/360 = 302.486 square units round off as needed.

Answer 2

Answer:

289/3[tex]\pi[/tex] m² or 302.6400923... m²

Step-by-step explanation:

These type of questions are very simple, you just have to know how to approach them properly. I'll give you the general structure using this as an example for your understanding.

The general structure goes like this:

Find the area of the entire circleUsing the angle, find out how much of the circle is covered by the sector.Multiply answer from Step 2 from the area to figure out the area of the sector.

Area of a circle is [tex]\pi r^{2}[/tex], so [tex]\pi[/tex]×17² = 289[tex]\pi[/tex] m²

The angle is 120° out of 360°, think of a sector as the percentage of the area of the circle.

120/360 = 1/3

1/3 × 289[tex]\pi[/tex] = 289/3[tex]\pi[/tex] m² or 302.6400923... m²


Related Questions

please help me!!! y’all, i’m dying

Answers

Answer:

The answer is A.

Step-by-step explanation:

yes

Answer:

total 10th grades who are 15 years old would be 7 in the empty box

Step-by-step explanation:

2 plus 7 plus 10 is 19, simple math

If equation is x + y = 3 and x - y = 7 then the value of x will be?
A) 0
B) -3
C)-2
D)2
Its on the topic Simultaneous equations

Answers

Answer:

x = 5

Step-by-step explanation:

Add the equations

x + y = 3

x - y = 7

––––––––

2x = 10

Divide both sides by2

x = 5

Note: for the equations in the question,

none of the given answers are correct.

Yea the other person is correct the x= 5 and the y= -2

Have a nice day

Given the numbers 24 and 18 as legs of a right triangle, what is the length of the hypotenuse? Round your answer to the nearest tenth (1 decimal place)

Answers

Answer: 30 inches

Hope this helps! :)

Averigua el número que cumple la siguiente condición: si se multiplica su sucesor por el número disminuido en 3 unidades se obtiene 77

Answers

Answer:

X=10

X=-8

Step-by-step explanation:

(x+1)*(x-3)=77

x²-3x+x-3=77

x²-2x-3=77

x²-2x-3-77=0

x²-2x-80=0

(x-10)*(x+8)=0

x-10 = 0

x=10

x+8=0

X=-8

The two possible numbers that satisfy the given equation model are -8 and 10.

What is a expression? What is a mathematical equation? What is Equation modelling ?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the successor of a number, when multiplied by the number decreased by 3 units, 77 is obtained.

Assume the number to be [x]. Its successor would be [x + 1]. Then, we can write -

(x + 1)(x - 3) = 77

Refer to the graph attached. The [x] - intercepts the solution. We get -

x = - 8

x = 10

Therefore, the two possible numbers that satisfy the given equation model are -8 and 10.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

[Refer to question in english -

Find the number that meets the following condition: if its successor is multiplied by the number decreased by 3 units, 77 is obtained.]

the total of a number m and a number n

Answers

Answer:

m+n

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}3&4\\8&-5\end{array}\right] \left[\begin{array}{ccc}4&6\\3&0\end{array}\right][/tex] evaluate

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!!

Con someone help me with questions 3 and 4

Answers

Answer:

t = 13 hours

The values will be equal in 10 years.

Step-by-step explanation:

Three

There are two ways to do this problem. I'll do it the simplest way -- which will benefit you most if you are about to take a physics class.

Follow these observations.

The difference of speed of these two cars is 70 - 65 = 5 mphThe distance travelled by the first car before the second one starts is 65 miles in 1 hour.  That comes about because Tom goes 65 miles before Michelle even starts. She starts exactly 1 hour after Tom and he has gone 65 miles in that time.She is going faster, but he is still moving. That's what makes the problem hard.Fortunately, you don't have to figure that out. You have all the information you need.

Solution

Time it takes to Catch Tom = distance to be made up / difference in speed

Distance to be made up = 65 miles

Difference in speed = 5 mph

Time taken for michelle to catch Tom = t

t = 65/5

t = 13 hours.

Solution Two

The distance is the same when Michelle catches Tom

d = r*t

Michelle's rate = 70 mph

Michelle's time = t

Tom's rate = 65

Tom's Time = t + 1

70 * t = 65(t + 1)

70 * t = 65*t + 65

70*t - 65*t = 65

5t = 65

t = 65/5 = 13

In thirteen hours, Michelle will catch Tom

Four

One house increases by 10000 the other decreases by 5000. You could do it using the first method above, but in this case the second is actually easier.

Juan: 200000 + 10000*t

Tia  : 350000 - 5000t

When will the be equal (at what price and when?).

200000 + 10000t =350000 - 5000t         Divide by 1000

200 + 10t = 350 - 5t                                    Add 5t to both sides

200 + 10t + 5t = 350                                   Combine

200 + 15t = 350                                          Subtract 200 from both sides

15t = 150                                                      Divide by 15

t = 150/15

t = 10 years

SOMEONE PLEASE HELP ME WITH THIS ITS DUE TONIGHT

I NEED TO HAVE A SCORE OF 68 AND IM AT 32 RIGHT NOW IM SO CLOSE

You can transform ⨀X to ⨀X' by translating it and then performing a dilation centered at X'. Find the translation rule and the scale factor of the dilation.

Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.

Answers

Answer:

The scale factor is 3 and the translation is (-8,2)

Step-by-step explanation:

(I'm not very good at translation/dilation but since you asked, I'm pretty sure this is the answer!)

HURRY PLEASE!!!!
Describe the transformation that was performed on parallelogram EFGH to create parallelogram E'F'G'H'. Show or explain how you got your answer.

Answers

Answer: 4'6 2'4

Step-by-step explanation:

Solve for X
Solve for X
Solve for X

Answers

Answer:

we know that 8+6x=30+4x+2

2x=24

x=12

pls mark as brainliest

Answer:

[tex]\bf x=12[/tex]

Step-by-step explanation:

By applying the Exterior angle theorem.

[tex]\bf 30+4x+2+8+6x[/tex]

[tex]\bf 4x+30+2=8+6x[/tex]

[tex]\bf 4x+32=8+6x[/tex]

[tex]\bf 4x+32-32=8+6x-32[/tex]

[tex]\bf 4x=6x-24[/tex]

[tex]\bf 4x-6x=6x-24-6x[/tex]

[tex]\bf -2x=-24[/tex]

[tex]\bf \cfrac{-2x}{-2}=\cfrac{-24}{-2}[/tex]

[tex]\bf x=12[/tex]

___________________

A sector with an area of \goldE{48\pi,\text{cm}^2}48πcm 2 start color #a75a05, 48, pi, start text, c, m, end text, squared, end color #a75a05 has a radius of \maroonD{16,\text{cm}}16cmstart color #ca337c, 16, start text, c, m, end text, end color #ca337c. What is the central angle measure of the sector in radians? Choose 1 answer: Choose 1 answer:

Answers

Answer:

3/8 π radians

Step-by-step explanation:

The Area of a sector when then central angle is in radians = 1/2r² θ

Where

θ = central angle = ?

r = 16 cm

Area of the sector = 48πcm²

Hence

Central angle = Area of a sector ÷ (1/2r²)

= 48πcm² ÷ (1/2 × 16²)

= 48πcm² ÷ 128

Central angle = 3/8π radians

Therefore, Central angle = 3/8π radians

The following Circle Graph and table show the result of the survey conducted by Twin Groves Ice Cream parlor to find out the most popular ice cream flavor.

How does the Circle Graph misrepresent the data in the table?

A. Raspberry is the least popular flavor.
B. The two larger sections of the graph are not labeled correctly.
C. One of the flavors from the table is missing in the Circle Chart.
D. Peach is the next popular flavor after strawberry.

Answers

Answer:

The answer is most likely B..

Step-by-step explanation:

I do not know BUT I WANT TO KNOW

Answer:

B

Step-by-step explanation:

Just did the test

Hope I could help :)

Given m || n, find the value of x and y

Answers

Answer:

x = 15, y = 50

Step-by-step explanation:

8x + 12 and 2x + 18 are same- side interior angles and sum to 180° , then

2x + 18 + 8x + 12 = 180

10x + 30 = 180 ( subtract 30 from both sides )

10x = 150 ( divide both sides by 10 )

x = 15

Then

8x + 12 = 8(15) + 12 = 120 + 12 = 132

3y - 18 and 8x + 12 are vertical angles and are congruent, so

3y - 18 = 132 ( add 18 to both sides )

3y = 150 ( divide both sides by 3 )

y = 50

X = 15

Y = 50

(8x+12) + (2x+18) = 180 -- combine like terms

10x + 30 = 180 -- subtract 30 from both sides

-30 -30

10x = 150 -- divide by 10 on both sides

x = 15

and for y:

plug x into (8x+12)

8(15) + 12 = 3y - 18

120 + 12 = 3y - 18

132 = 3y - 18 -- add 18 to both sides

150 = 3y -- divide both sides by 3

y = 50

Complete each statement by circling the correct answer based on the figure
below
M
a. One small triangle is what portion of the figure?
1 fourth
1 half
1 third
n
b. One square is what portion of the figure?
1 fourth
1 half
1 whole
ИИ
One rectangle that is not a square is what portion of the figure?
1 half
1 fourth 1 whole

Answers

Answer:

a. 1 fourth

b. 1 half

c. 1 whole

Can someone help me find the values of x and y for this quadrilateral?

Answers

Answer:

x = 98; y = 112

Step-by-step explanation:

Opposite angles of an quadrilateral inscribed in a circle are supplementary. That means that the sum of their measures is 180 deg.

x + 82 = 180

x = 98

y + 68 = 180

y = 112

5,126 divided by 12 with remainder

Answers

The Answer is 427.1666

Help plz..And No links!! I repeat No links!!

Answers

B=9. You have to add both angles that are not the one supplementary to 13b.

B+24+14b-42= 13b

15B-18 =13b

-18 = -2B

9=B

The CUBE ROOT of a number is -1. What is the number? *

Answers

Answer:

The number is -1

Answer:

i

Step-by-step explanation:

A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?

Answers

Answer:

Step-by-step explanation:

radius =diameter/2

=15/2

=7.5 mm

circumference=2πr

=2*3.14*7.5

=47.1 mm

The equation that can be used to determine the circumference of the DVD is π15.

What is the circumference of a circle?

The DVD has the shape of a circle. The circumference of a circle is the distance round the circle. The diameter of a circle is a straight line that touches two points on the circumference of a circle and also passes through the center.

The circumference of a circle = πD

Where:

d is the diameter

To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152

A. X=3 m
B. X=5 m
C. X=6 m
D. X=9 m

Answers

Answer:

ok so we can divide 15 by 5 to get 3

so we know the building is 3 times bigger

so we multiply 3 by 3 to get 9

so the answer is D

Answer:

9

Step-by-step explanation:

Since the triangles are similar, we can use ratios to solve

Letting h be the height of the tower

15        h

-----  = ------

5           3

Using cross products

15*3 = 5h

Divide each side by 5

45/5 = 5h/5

9 = h

Ravi is 8 years older than nastasha the sum of their ages is 42 find their ages

Answers

Answer: Natasha is 17 and Ravi is 25

Step-by-step explanation:

Let n = Natasha’s age and r = Ravi’s age

We can write an equation then substitute: 42=n+r

We know that Ravi is 8 years older than Natasha, so Ravi’s age is equal to n+8. We can substitute that in, so 42= n+(n+8)

Simplify:

42=n+(n+8)

42= 2n+8

42-8=2n+8-8 (subtract 8 from both sides to isolate n)

34=2n

34/2=2n/2 (divide both sides by two)

17=n

Natasha is 17, and Ravi is 8 years older. 17+8= 25, Ravi is 25. You can double check by adding 25 and 17 together, which brings you back to 42 :]

math pls pls help help no trolls i really need this grade​

Answers

Answer:

The second one is 3 and the third one is 8

Step-by-step explanation:

Just trust me

The graph of f(x) = 2x2 + x – 15 passes through the point (0, –15) and one of its zeros is (2.5, 0). What is the other zero of the function?

Answers

Answer:

x=-3

Step-by-step explanation:

PLZ HELP!!!
Explain how you would solve this problem. (Use words!!)

4(x +3) = 3(x - 12)

Answers

Answer:

4(x+3)=3(x-12)

=4x + 12= 3x - 36

= 4x- 3x= -36 - 12

= x = -48

What is the sum of – 2x2 – 5x + 3 and
- 4x2 + 4x – 6?

Answers

[tex] - 6 {x}^{2} - x - 3[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]( - 2 {x}^{2} - 5x + 3) + ( - 4 {x}^{2} + 4x - 6) \\ \\ = - 2 {x}^{2} - 5x + 3 - 4 {x}^{2} + 4x - 6 \\ \\Combining \: the \: like \: terms, \: we \: have \: \\ \\ = - 2 {x}^{2} - 4 {x}^{2} - 5x + 4x + 3 - 6 \\ \\ = - 6 {x}^{2} - x - 3[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

-6x^2 - x - 3

Step-by-step explanation:

(-2x^2 -5x +3) + (-4x^2 + 4x -6)

open the brackets .Remember while opening the brackets signs also get multiplied .

=-2x^2 -5x +3 - 4x^2 + 4x -6

=-6x^2 -x -3

(minus * minus) sign=plus sign

(minus * plus) sign=minus sign

(plus * plus) sign=plus sign

(minus + minus) sign=plus

(plus + plus) sign=plus sign

Solve for f
-5f + 5 < 15
-------------------
A: f < 2
B: f < 8
C: f > -2
D: f = 3

Answers

Answer:

f>-2

Step-by-step explanation:

-5f+5<15

Isolate f

-5f<10

Isolate

-f<2

Because f is negative we have to flip the sign

f>-2

If this helps please mark as brainliest

Answer: C
Hope this helps :)

A garden table and a bench cost 816 combined. The garden table costs 84 less than the bench. What is the cost of the bench?

Answers

Answer:

366

Step-by-step explanation:

A garden table and bench cost 816 when combined together

The garden table cost 84 less than the bench

Therefore the price of the bench can be calculated as follows

x + (x+84)= 816

2x+84= 816

2x= 816-84

2x= 732

Divide both sides by 2

x= 732/2

= 366

Hence the price of the bench is 366

14cm and 31cm and 34cm equal

Answers

Answer:

if its addition then it will be 79cm

For a summer job, Lucy is in charge of chickens and sheep. There are 16 animals total. The number of chickens, y, is 4 less than the number of sheep, x. Which ordered pair (x, y) represents the number of chickens and sheep?

Answers

Answer:

(10,6)

There are 10 sheep and 6 chickens.

Step-by-step explanation:

Let y represent the number of chickens.

Let x represent the number of sheep.

1) Form a system of equations

"There are 16 animals in total"

⇒ [tex]x+y=16[/tex]

"The number of chickens is 4 less than the number of sheep"

⇒ [tex]y=x-4[/tex]

2) Substitute equation 2 into equation 1

[tex]x+(x-4)=16[/tex]

Solve for x

[tex]x+x-4=16\\2x-4=16\\2x=16+4\\2x=20\\x=10[/tex]

Therefore, there are 10 sheep.

3) Solve for y

[tex]x+y=16\\10+y=16\\y=16-10\\y=6[/tex]

Therefore, there are 6 chickens.

The ordered pair (10,6) represents the number of chickens and sheep.

I hope this helps!

How many times larger than
(15 + 10) is 8 x (15 + 10)?

Answers

Answer:

8 times larger

Step-by-step explanation:

(15+10) is the singular equation alone. Muiltiply it by 8, and it's 8 times larger then the initial singular expression. Therefore, the answer is 8 times larger.

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