Find the area of a sector, whose perimeter is 40 cm, and the radius is 8 cm.

Answers

Answer 1

Answer:

96 cm²

Step-by-step explanation:

From the question,

s = (2πr∅/360)+2r................. Equation 1

Where s = Perimeter of a sector, r = radius, ∅ = angle subtend by the sector at the center of the circle.

Given: s = 40 cm, r = 8 cm

Constant : π = 3.14.

Substitute into equation 1 and solve for ∅

40 = (2×8×3.14×∅/360)+(2×8)

40 = (50.24∅/360)+16

40-16 = 50.24∅/360

50.24∅/360 = 24

50.24∅ = 24×360

50.24∅ = 8640

∅ = 8640/50.24

∅ = 171.97°

Area of a sector (A') = ∅πr²/360

A' = 171.97×3.14×8²/360

A' = 95.997

A' ≈ 96 cm²


Related Questions

What is the greatest common factor of 6, 42, and 30?

Answers

Answer:

6

Step-by-step explanation:

I found that the greatest common factor for those numbers is 6

Can anyone double check this to make sure I’m correct?

Answers

Answer:

looks like it's right!

Step-by-step explanation:

Answer:

I got 33.82

Step-by-step explanation:

triangle PQR is similar to triangle XYZ if PQ = n + 2, QR = n - 2 and XY=n^2 - 4, what is the value of YZ, in terms of n?

Answers

Answer:

(n-2)²

Step-by-step explanation:

If triangle PQR is similar to triangle XYZ, then;

PQ/QR =XY/YZ

Given

PQ = n + 2,

QR = n - 2 and

XY=n^2 - 4,

Substitute

n+2/n-2 = n²-4/YZ

n+2/n-2 = (n+2)(n-2)/YZ

1/n-2 = n-2/YZ

Cross multiply

YZ = (n-2)(n-2)

YZ = (n-2)²

Hence the value of YZ in terms of n is (n-2)²

Find the surface area of the prism.

Answers

Answer:

[tex]A=202\ cm^2[/tex]

Step-by-step explanation:

Given that,

The dimensions of the prism are 4 cm, 9 cm and 5 cm respectively.

The formula for the surface area of the prism is given by :

[tex]A=2(lb+bh+hl)[/tex]

Put all the values,

[tex]A=2(4(9)+9(5)+5(4))\\\\A=2(36+45+20)\\\\A=202\ cm^2[/tex]

So, the required surface area of the prism is equal to [tex]202\ cm^2[/tex].

Find the area of the parallelogram

Answers

Answer:

513

Step-by-step explanation:

B×L=Area

Base=24

Length =19

24×19=513

Mrs. Smith is shopping for a toy chest to go
in her kids' playroom. She looks at the options
shown.


How much floor space will toy chest A take up?

Answers

Answer: 20ft

Step-by-step explanation:

floor space is only worried about the area of the base, so A would be 4*5 or 20

Answer:

20

Step-by-step explanation:

find x

help please asap

Answers

Answer:

i think it is 51 degrees

Step-by-step explanation:

___________________________________X = 58 ________________________________

Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express.coordinates as fractions, using the slash
mark ( / ) for the fraction bar.
(-1,5) (5,5)

Answers

Answer:

(2,5)

Step-by-step explanation:

(Xm, Ym)= ( (x1+x2)/2, (y1+y2)/2 )

= (5 + (-1))/ 2, (5+5)/2

= (4)/2, (10)/2

= 2, 5

PLEASE hURRY The population, P, of six towns with time t in years are given by the following exponential equations: (i) P = 1000 (1.08) Superscript t (ii) P = 600 (1.12) Superscript t (iii) P = 2500 (0.9) Superscript t (iv) P = 1200 (1.185) Superscript t (v) P = 800 (0.78) Superscript t (vi) 2000 (0.99) Superscript t Which towns are growing in size? a. i, ii, and iv c. i, ii, and iii b. iii, v, and vi d. vi, i, and ii

Answers

Answer:

Its A

Step-by-step explanation:

I got it right on Edge Test

The function that depicts town that is growing in size are  P = 1000 (1.08)^t and 1200 (1.185)^t

Expoenential functions

The standard exponential function is expressed as:

y = ab^x

The value of b will determine whether the towns are growing in size or not, For instance;

If b > 1 then the town is growing, else it is declining

From the given exponential functions, the function that depicts town that are growing in size are  P = 1000 (1.08)^t and 1200 (1.185)^t

Learn more on exponential function here; https://brainly.com/question/12940982

Here are summary statistics for randomly selected weights of newborn​ girls: n=250​, x_=32.9 ​hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a ​95% confidence level. Are these results very different from the confidence interval 31.9 hg < μ < 34.5 hg with only 19 sample​ values, x_ = 33.2​hg, and s = 2.9 ​hg?

Answers

Answer:

Step-by-step explanation:

Here are summary statistics for randomly selected weights of newborn​ girls: n=250​, x_=32.9 ​hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a ​95% confidence level.

The confidence interval of mean

=32.9 ± 1.96 × 6.9/250

Confidence Interval = 32.9 ± 0.5382

I need help asap please! 20 points!

Graph the parabola.

y=x²–2x-4

Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function
button

Answers

This is the graph I hope this helps

Hhhhhhhhhhhhheeeeeeellllllllppppppppp

Answers

Answer:

With whattttttttttttttttttttttttttt

Step-by-step explanation:

Help..........................

Answers

Answer:

-21 yd

Step-by-step explanation:

[tex]-31-2+12=-21[/tex]

the length of a rectangle is five inches less than three times its width . if the perimeter of the rectangle is 150 inches , find the dimensions.

Answers

Step-by-step explanation:

let x be the width of the rectangle.

given

length =

[tex]3x - 5[/tex]

inches.

also given Length + Width = 150 inches,

[tex]3x - 5 + x = 150 \\ 4x - 5 = 150 \\ 4x = 150 + 5 \\ 4x = 155 \\ x = 155 \div 4 \\ = 38.75in[/tex]

Since

Length = 3x-5 in

Width = x in,

Length = 3(38.75) - 5 = 111.25 in

Width = 38.75 in

Help due tonight!!

2. What is m < 2?
3. What is m <4?
Plz show work for both

Answers

Answer:

I think that you need a better teacher because this on, gives, extremely... hard questions

(Btw like the profile name)

Find the measures of the numbered angles in the isosceles trapezoid.

m<1=

Answers

9514 1404 393

Answer:

49°131°131°

Step-by-step explanation:

The base angles are congruent in an isosceles trapezoid.

  ∠1 = 49°

Same-side angles are supplementary in any trapezoid.

  ∠2 = ∠3 = 180° -49°

  ∠2 = ∠3 = 131°

Liam has a bag containing 5 red, 2 blue, 5 green, 6 yellow and 2 white marbles that
are all the same size and shape. What is the probability of randomly choosing 2 green
marbles without replacing?

Answers

Answer:

5 green

20 total

first green = 5/20 = 1/4

second green = 4/19

(1/4)(4/19) = 1/19

Step-by-step explanation:

When y=x^2 is transformed to y=(x+1)^2-3 , the corresponding graph is shifted a) 1unit left and 3 units down. c) 1 unit left and 3 units up. b) 1 unit right and 3 units down. d) 1 unit right and 3 units up.

Answers

UMm can I get the equation.

HELP ME PLEASE!!! No links

Answers

Answer:

H 60

Step-by-step explanation:

You would need to find out what you would multiply times 0.5 to get 30. Then to get that answer just divide 30 by 0.5. which is 60

A bag of skittles includes 3 reds, 2 purple, 4 green, 2 organge, and 6 yellow. True or False - Is the theoretical probability of pulling a yellow out of the bag 3/11?

Answers

Answer:

true

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

3 + 2 + 4 + 2 + 6 = 17

6/17, it cant be simplifed

State the domain and range
of f(x) = x²

Answers

Answer:

Domain : All real numbers

Range: y >= 0

Step-by-step explanation:

Answer:

range :all real numbers

domain: all real numbers

Brainliest for correct answer, asap please.

Answers

Answer:

Not a function

Not a function

Function

Step-by-step explanation:

The 1st one isn't as clear in the picture, but it looks like the ends of each line overlap the each other.

12
B
4
E
D
3
A

Link= REPORT

(A) 4
(B) 5
(C) 3
(D) 6

Someone pls help!!

Answers

Answer:

i would say B

Step-by-step explanation:

96 = 12d

A. 108 B. 84 C. 8 D. −1 8

Answers

Answer:

Step-by-step explanation:

Answer:

I dont know

Step-by-step explanation:

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find the length of x

help please i need it ssap

Answers

Answer:

x = 5.5

Step-by-step explanation:

5+6 = 11

[tex]\frac{2.5}{x}[/tex]=[tex]\frac{5}{11}[/tex]

cross multiply

5x = 27.5

x = 5.5

A gym charges $25 per month plus extra four dollars to swim in a pool for an hour if a member only has $45 to spend each month at most how many hours can’t remember swim

Answers

Answer:

5 hours

Step-by-step explanation:

So the set fee is 25. 45-25 = 20. Now, 4 dollars an hour. 20/4 = 5, so 5 hours

Nara buys 20 ounces of dried cherries in bulk. If dried
cherries cost $0.55 per ounce, how much will she pay?

Answers

Answer:

11 dollars, is you multiply .55 by 20 its 11

A plane descends 1000 ft while flying
2.7 mi. What is the angle of descent?

Answers

Answer:

4.02°

Step-by-step explanation:

The angle of descent can be obtained using trigonometry ;

Since we have a right angled triangle ;

Let's use the relation:

Sin θ = opposite / hypotenus

Hypotenus = 2.7 miles

1 mile = 5280 feets

2.7 miles = (2.7 * 5280) = 14256 feets

Sin θ = 1000 / 14256

Sin θ = 0.0701459

θ = sin^-1(0.0701459)

θ = 4.0223674

Meiling needed $5.35 to buy a ticket to a show. In her wallet, she found 2 dollar bills, 11 dimes, and 5 pennies. How much more money does Meiling need to buy the ticket?

Answers

Answer:

no she needs $2.20 more

Step-by-step explanation:

2+ 1.10+.05= $3.15

$5.35 - $3.15 = the answer

Find the RANGE
135 120 125 133 66 78 81 91 145 135 68

Answers

The answer is 79

145-66=79
Other Questions
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Matt's experiment starts with 10 milliliters of water and increases in volume by 28% each second.Which two conclusions can be made if f represents the volume of water in Carmen's flask and g represents the volume of water in Matt's flask?The volume of water in Carmen's flask is increasing at a faster rate than the volume of water in Matt's flask over the interval [6, 8].The volume of water in Carmen's flask is increasing at a slower rate than the volume of water in Matt's flask over the interval [4, 6].The volume of water in Carmen's flask will always be greater than the volume of water in Matt's flask.The volume of water in Matt's flask will eventually be greater than the volume of water in Carmen's flask.The volume of water in Carmen's flask is increasing at a slower rate than the volume of water in Matt's flask over the interval [0, 2]. Which of the following statements about systems theory are true? Check all of the boxes that apply. 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