El perímetro de una circunferencia es de 40π cm, y tiene un ángulo de 130°. Calcula el área del sector de dicha circunferencia.

Answers

Answer 1

Answer:

Area of sector = 144.4π cm²

Step-by-step explanation:

Given:

Perimeter of circle = 40π cm

Given angle = 130°

Find:

Area of sector

Computation:

Perimeter of circle = 2πr

⇒ 40π = 2πr

⇒ 40 = 2r

⇒ Radius r = 40 / 2

Radius r = 20 cm

Area of sector = [θ/360][π][r]²

⇒ Area of sector = [130/360][π][20]²

⇒ Area of sector = [0.361][π][400]

Area of sector = 144.4π cm²


Related Questions

Which is the area between the x-axis and y=x from x=1 to x=6

Answers

Answer:

I am going to answer using calculus. Let me know if you instead were looking for an algebraic method. Take the definite integral from 3 to 6 of xdx. [x^2/2]3 to 6= 18-(9/2)= (36-9)/2= 27/2. The area is 27/2

Please help me with this!!

Answers

Answer:

15.6

Step-by-step explanation:

1 times 12 is 12 3/10 of 12 is 3.6 12+3.6=15.6

Answer:

$15.60

Step-by-step explanation:

multiply 1.3 (which is the same as 1 3/10) and 12

Find the value of each expression. Then write an expression that has the same value, using addition 7 – (-3) 7 – 3 59 – (-1) -17 – (-6) of related numbers.

Answers

Answer:

7-(-3)=10

7-3=4

59-(-1)=60

-17-(-6)=(-11)

Step-by-step explanation:

In the photo !

The perimeter of a triangle is 17x−5 units. One side is 3x+5 units and another is 8x−3 units. How many units long is the third side?

Answers

9514 1404 393

Answer:

  6x -7 units

Step-by-step explanation:

Let c represent the length of the third side. The perimeter is the sum of the three side lengths.

  P = a + b + c

  (17x -5) = (3x +5) +(8x -3) +c

 17x -5 = 11x +2 + c . . . . . . . . . . . . collect terms

  6x -7 = c . . . . . . . . . . . . . . subtract 11x+2

The third side is 6x -7 units.

Classify the system of equations and identify the number of solutions.
4x + 2y = −8
6x + 3y = 9
inconsistent; none
consistent, dependent; one
inconsistent; one
consistent, dependent; infinite
HELP ASAP PLS

Answers

Answer:

inconsistent, none

Step-by-step explanation:

Write both equations in slope-intercept form to see if the lines are parallel.

These two lines have slope m = −2 and different y-intercepts, therefore they are parallel.

Since the lines are parallel, the system is inconsistent and there are no solutions.

The system of equations  4x + 2y = −8 6x + 3y = 9 is inconsistent and has no solutions.

What is system of Equations?

A system of equations is a collection of two or more equations with a same set of unknowns.

We need to write both equations in slope-intercept form to see if the lines are parallel.

4x+2y=-8

2y=-8-4x

y=-4-2x,

y=-2x-4, m₁=-2

and 6x+3y=9

3y=9-6x

y=-2x+3, m₂=-2.

So two lines have slope m = −2 and different y-intercepts,

It means two line are parallel.

Since the lines are parallel, the system is inconsistent and there are no solutions.

Hence 4x + 2y = −8 , 6x + 3y = 9 is inconsistent and has no solution.

To learn more on system of equations click:

https://brainly.com/question/24065247

#SPJ2

What is the value of 4C9 ?

Answers

Answer:

the value is 126

Step-by-step explanation:

have a good day

Rachel earned $54.79 last week. Morgan earned $50.23. About how much more did Rachel earn?

Answers

Answer:

$4.56

Step-by-step explanation:

It would be $4.56
You would do 54.79-50.23

How do you solve these two problems please explain step by step

Answers

Answer:

1) [tex]x=15, y=41[/tex]

2) [tex]x=6, y=24[/tex]

Step-by-step explanation:

1)

The two triangles are similar by AA similarity.

That means [tex]5x-5=4x+10[/tex].

We can add [tex]5[/tex] to both sides to get [tex]5x=4x+15[/tex].

We can then subtract [tex]4x[/tex] from both sides to get [tex]x=15[/tex].

We know that the [tex](5x-5)+(6y-4)=180[/tex]  because they both lie on a straight line.

We can plug in for [tex]x[/tex] to get [tex](5(15)-5)+(6y-4)=75-5+6y-4=6y-66=180[/tex].

We can divide both sides of the equation by [tex]6[/tex] to get [tex]y-11=30[/tex].

We then add [tex]11[/tex] to both sides to get [tex]y=41[/tex].

So, [tex]\boxed{x=15, y=41}[/tex] and we're done!

2)

Because the two bases of a trapezoid are parallel, meaning adjacent top and bottom angles sum to [tex]180^{\circ}[/tex], we have that [tex]90+3y+18=180[/tex].

We can subtract a [tex]90[/tex] and an [tex]18[/tex] from both sides to get [tex]3y=72[/tex].

We then divide both sides of the equation by [tex]3[/tex] to get [tex]y=24[/tex].

We do the same thing for [tex]x[/tex]. On the other side of the trapezoid, we have that [tex]15x+30+10x=180[/tex].

We combine like terms on the left side to get [tex]25x+30=180[/tex].

We subtract a [tex]30[/tex] from both sides to get [tex]25x=150[/tex].

We divide both sides of the equation to get [tex]x=6[/tex].

So, [tex]\boxed{x=6, y=24}[/tex] and we're done!

Jose needs 6.2 lb of organic blueberries to make smoothies. Organic blueberries are on sale for $2.85 per pound. Jose estimates that he will need $12 to buy the 6.2 lb of blueberries. What is Jose’s error?

1. Jose did not make an error. His estimate of $12 is correct.
2. Jose incorrectly rounded $2.85 down to $2. The estimate should be $18.
3. Jose incorrectly rounded 6.2 up to 7.
4. Jose incorrectly multiplied 2 and 7. The estimate should be $14.

Answers

Answer: Jose incorrectly rounded $2.85 down to $2. The estimate should $18.

Step-by-step explanation:

lol i had this question

Which choice is equivalent to the expression shown below?
-3(3y-2x) + 2(5x-4y)

Answers

Answer:

[tex] - 3(3y - 2x) + 2(5x - 4y) \\ - 9y + 6x + 10x - 8y \\ 16x - 17y[/tex]

I hope I helped you^_^

select the exspressions that are equivalent to 6(3p +2)+2

Answers

Answer:

18p + 14

Step-by-step explanation:

6

(

3

+

2

)

+

2

{\color{#c92786}{6(3p+2)}}+2

6(3p+2)+2

1

8

+

1

2

+

2

What exactly is this? 2+6x = 1-x

Answers

X=-1/7 i hope this helped answer ur questions

How do i simplify this question?

Answers

16a5 b7
you just needed to multiply the numbers

guys…..am i hot?????

Answers

Nope because I said so

Answer:

just btw there is no pic lol

Step-by-step explanation:

please help im begging you, brainliest to correct answer!!!

(zoomed in equation on slide 2)

Answers

Step A is given
Step b is multiplication property
Step c is distributive property
Step d is substitution/ write and equivalent expression
Step e is addition property
Step f is division

Jamie saw 12 ducks on the lake. When Jamie said that 1/2 of the ducks swam away, how many ducks was that?

a) 8
b) 4
c)6

Answers

6
12 divided my 2 is 6
or 6 + 6 is 12.
Hope this helps

Show that the two triangles ABC and DEF are congruent by the
HL theorem.

Answers

Since hypotenuses and legs have the same length, then both are congruent and thus, triangles ABC and DEF are congruent.

The Hypotenuse-Leg theorem states that two right triangles are congruent if and only if their hypotenuses and any of their corresponding legs are congruent. That is to say:

[tex]\overline {AC} \cong \overline {DF}[/tex], [tex]\overline{BC} \cong \overline {EF}[/tex]

[tex]AC = DF, BC = EF[/tex]

[tex]\sqrt{AB^{2}+BC^{2}} = \sqrt{DE^{2}+EF^{2}}[/tex], [tex]BC = EF[/tex]

If we know that [tex]AB = 10[/tex], [tex]BC = 4[/tex], [tex]DE = 10[/tex] and [tex]EF = 4[/tex], then we have the following outcomes:

[tex]\sqrt{10^{2}+4^{2}} = \sqrt{10^{2}+4^{2}}[/tex]

[tex]4 = 4[/tex]

Since hypotenuses and legs have the same length, then both are congruent and thus, triangles ABC and DEF are congruent.

We kindly invite to check this question on triangles: https://brainly.com/question/21972776

Approximately how much greater, in grams is 191520 than 146640

Answers

191520 grams is greater than 146640 grams by 44,880 grams

(a) Write an equation to find x. Make sure you use an "=" sign in your answer​

Answers

Answer:

2x-  13 = 4x + 2

The Hulk just flew into the Boston airport to visit some family, but due to car problems, they are
unable to pick him up. He only has $20 on him. He needs to call a cab that costs $1.75 initially and
$.65 per mile. How far will he be able to go? If his family lives 25 miles away, will the cab be able to
get him to his family?

Answers

Answer:

Yes, he will be able to afford 25 miles

Step-by-step explanation:

20.00 - 1.75 = 18.25

He will have $18.25 after the initial payment.

18.25 / 0.65 = 28~

He will be able to go 28 miles with the 18 dollars he has left.

A chess club 20 with members is electing a new president. Lashonda received 8 votes. What percentage of the club members voted for Lashonda?

Answers

Answer:

Lashonda is not popular. She only received 40% of the votes.

Step-by-step explanation:

8/20 can be simplified to 2/5. If 1/5 is equal to 20%. Then 2 times 20% is 40%.

Did I do this right?

Answers

Yeah that’s correct
Yea that’s correct!!!!
Good job!!!

More coins for youuu + follow for brainliest :)​

Answers

Answer:

10 + 78.567 = 88.567

Step-by-step explanation: thank you

Gibson's Department Store is having a clearance sale and has decreased everything in the
store by 35%. How much will Gloria pay for a pair of earrings that were originally
$15.75?
A. $13.75
C. $12.75
B. $10.24
D. $12.24

Answers

Answer:

B. :>

Step-by-step explanation:

B, rounded from what i got which is 5.51, just rounded it to see the answer, and i got B

guy pls help me!!!!!

Answers

it’s 63 degrees because the square is 90 degrees the other one is 27 degrees so add them and subtract from 180 because there is 180 degrees in a triangle

0.43 as a fraction ?

Answers

Answer:

43/100

Step-by-step explanation:

What is the answer to 6.7 x 10^5=

Answers

Answer:

670000

Step-by-step explanation:

6.7X10000

[tex]QUESTION:[/tex]

What is 6.7 x 10^5?

[tex]ANSWER:[/tex]

670,000

[tex]COMMENT /VERIFICATION:[/tex]

This is proper scientific notation because the coefficient is between 1 and 10.

Hope this helps! :)

[tex]ANSWERED:\\GraceRosalia[/tex]

he table shows ordered pairs of the function y= 8-2x What is the value of y when x=8 ?

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 1, 1, 4, 8, 10. The second column is labeled y with entries 14, 10, 6, 0, question mark, negative 12.

–20
–8
8

Answers

Step-by-step explanation:

Reorder

8

and

2

x

.

y

=

2

x

+

8

sorry if wrong

Solve for brainlist ( you can take your time )

Answers

Answer:

Slope for...:

7: 1

8: -2

9: 12/0

10: 4/3

11: 2/-7

12: 0/4

13: -1/3

14: 5/9

15: 1/4

Hope this helps!

help pls
what is the slope intercept form of (4,0) and (0,5)

Answers

Answer: y = -5/4x+5

Hope this helps!!!

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