Let BC=CD=12cm, and the length of arc BD=15cm. Find the area, in square centimeters, of sector BCD.

Let BC=CD=12cm, And The Length Of Arc BD=15cm. Find The Area, In Square Centimeters, Of Sector BCD.

Answers

Answer 1

Answer:

option b : 90 sq. cm

Step-by-step explanation:

1) Area of circle with radius = 12cm

Area = π r^2

= 3.14 * (12) (12)

= 3.14 * 144

= approx 452.4

2) Circumference of circle with radius = 12cm

Circumference = 2πr

= 2 * 3.14 * 12

= approx 75 .4

3) Arc length = 15cm ......(given)

[tex] \frac{area \: of \: sector}{total \: area} = \frac{arc \: length}{circumference} [/tex]

[tex] \frac{area \: of \: sector}{452.4} = \frac{15}{75.4} [/tex]

[tex]area \: of \: sector \: = \frac{15 \times 452.4}{75.4} [/tex]

[tex] = \frac{6786}{75.4} [/tex]

[tex] = 90 {cm}^{2} [/tex]


Related Questions

Does anyone know how to
Solve this

Answers

Answer:

53.4 cm^2

Step-by-step explanation:

rhombus's have the same formula as a square (B*H)

8.9*6 = 53.4 cm^2

In the following table y is proportional to x.



What is the constant of proportionality?


A. 5/14


B. 5/7


C. 7/5


D.20/7

Answers

D there’s a 20 and a 20 is missing
D ggccccccccccvccccccccc

please help this is overdue and i get my grades tmr

Answers

Answer:

162 sq

Step-by-step explanation:

6 x 9 x 3 = 162

unless im wrong :/

Answer:

The surface area is 198 square centimeters.

Step-by-step explanation:

A = 2 · (wl + hl + hw)

2 · (6 · 9 + 3 · 9 + 3 · 6)

198

NEEEEEEEEED HELPPP step by step

Answers

Answer:

Step-by-step explanation:

Solve the simultaneous equation
2x-3y =8 x+3y=14
Use elimination method​....​

Answers

Answer:

x = 22/3  y = 20/9

Step-by-step explanation:

2x-3y =8 x+3y=14

Add the two equations together to eliminate y

2x-3y =8

x+3y=14

-------------

3x +0y = 22

Divide each side by 3

3x/3 = 22/3

x = 22/3

Then take the second equation and multiply by -2 and add to eliminate x

2x-3y =8

-2x-6y=-28

----------------------

  -9y = -20

Divide by -9

-9y/-9 = -20/-9

y = 20/9

x = 22/3  y = 20/9

what is the range of 0 and 8

Answers

Answer:

8

Step-by-step explanation:

range=highest number - lowest number

=8 - 0

=8

if x=-4 and y=3 what is the value of x-3y^2

a: -13
b: -31
c: -23
d: -85​

Answers

Answer:

b -31

Step-by-step explanation:

Step-by-step explanation:

x-3y²4-3×3²4-27-23

hope it helps

stay safe healthy and happy..

ANSWER PLEASE i need help i will mark brainliest

Answers

Answer:

let the two no. be x and y.

their sum

x+y=-11

x=-11-y.....[I]

and difference

x-y=41

x=41+y......[ii]

equating equation I and ii

we get

-11-y=41+y

-11-41=y+y

-52=2y

y=-52/2

y=-26

now

substituting value of y in equation I.

we get

x=-11-(-26)=-11+26=15

The two no. is 15 and -26.

Please help me. 20 POINTS

Answers

Answer:

could you please also post what the choosing options are and then ill edit this and do it again

Step-by-step explanation:

Paula needs to replace the floor in her family room since her cat peed in several places. She wants to put down both vinyl flooring and carpet in the room. The carpet she selected costs $2 per sq. foot. The vinyl floor covering costs $1 per sq. foot. She has $500 to spend on materials and must cover an area of 300 sq. feet. How much carpet and vinyl flooring will she buy to meet her requirements?

Answers

Answer:

c = amount of carpet flooring; v = amount of vinyl flooring2c + 1v = $500v = 100 sq. ft.c + v = 300c = 200 sq. ft.

Step-by-step explanation:

the anwser

what shapes have 2 pairs of parallel sides? Choose all that arw correct.​

Answers

Answer:

can we see the options please

square, rectangular, rhombus

Find the equation of the linear function represented by the table below in slope-
intercept form.

Answers

9514 1404 393

Answer:

  y = -4x -2

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (-10 -10)/(2 -(-3)) = -20/5 = -4

__

The y-intercept is given by ...

  b = y1 -m(x1)

  b = 10 -(-4)(-3) = 10 -12 = -2

Then the slope-intercept equation is ...

  y = mx +b

  y = -4x -2

What is the value of (5 2– 10) ÷ 5 × 2 3 ?

CORRECT ANSWER PLEASE?!!

Answers

Answer:

210

Step-by-step explanation:

(52-10)

42÷5

8.4×25=210

Answer:

BEODMASS

( 52 - 10 ) ÷ 5 × 23

42÷5 ×23

8.4 x 23

193.2

solve these equations, show all your work x/2=20

Answers

Answer:

x = 40

Step-by-step explanation:

x/2 = 20

x/2(2) = 20(2)

x = 40

what is the area of the cylinder rounded to the nearest whole number

Answers

Answer:

the area is 207

Step-by-step explanation:

The equation to solve the area of a cylinder is A=2πrh+2πr^2

The radius is the length from the outside to the center, 6 is the diameter so we could half that to get the radius, 3 and height is 8

A=2*3.14*3*8+2*3.14*3^2

A=6.28*3*8+6.28*9

A=18.84*8+56.52

A=150.72+56.52

A=207.24

207.24 rounded to the nearest whole number is 207 so your area is 207

help please i cant do this LOL

Answers

Answer and Step-by-step explanation:

Answer is in picture.

First you need to translate (or move) to the right 1 unit, the translate (or move) downwards 5 units.

Then, reflect the points over the y-axis (reflecting is like when you see your reflection in a mirror, how your hand lines up with the hand in the mirror)

#teamtrees #PAW (Plant And Water)

An account is compounded continuously at 4.5% interest. What was the initial amount deposited if after 8 years it is worth $1720?

Answers

9514 1404 393

Answer:

  $1200.00

Step-by-step explanation:

The balance is given by the formula ...

  A = Pe^(rt) . . . . . principal P invested at annual rate r for t years

Using your numbers, we can find P to be ...

  P = Ae^(-rt) = $1720·e^(-0.045·8) = $1720·e^-0.36

  P ≈ $1200.00

find 11/25 of a liter

Answers

Answer:

0.44l

Step-by-step explanation:

a litre=1l

11/25 of it=11/25×1l

=0.44l

Answer:

A litre=1 l

Or, 1/25×1

=0.44.

5) Find the measure of the unknown
angle in the triangle
O 100°
O 105
106
0 112
PLEASE HELP

Answers

105 degree , I think but not sure
106
explanation: triangles add up to 180 degrees. in the triangle above, the angles only add up to 74. 180-74=106

For what values of x and y is PQRS a parallelogram?

Answers

Answer:

x = 3

y = 2

Step-by-step explanation:

GIVEN :-

PQ =  2y + 3QR = 4y + 1RS = y + 5PS = 4x - 3

TO FIND :-

The values of x & y for which PQRS will be a parallelogram

FACTS TO KNOW BEFORE SOLVING :-

In a parallelogram , pair of opposite sides are always equal in length.

SOLUTION :-

PQRS will be a parallelogram only when :-

PQ = RSand PS = QR

1) Assume that PQ = RS.

[tex]=> 2y + 3 = y + 5[/tex]

[tex]=> 2y - y = 5 - 3[/tex]

[tex]=> y = 2[/tex]

∴ For y = 2 , PQ = RS.

2) Now, assume that PS = QR.

[tex]=> 4x - 3 = 4y + 1[/tex]

(Put y = 2 in the equation)

[tex]=> 4x - 3 = 4 \times 2 + 1[/tex]

[tex]=> 4x - 3 = 9[/tex]

[tex]=> 4x = 9 + 3 = 12[/tex]

[tex]=> x = \frac{12}{4} = 3[/tex]

∴ For x = 3 , PS = QR.

CONCLUSION :-

For x = 3 & y = 2 , PQRS is a parallelogram.

(5-^2)-^4 PLEASE TELL ME EHSY THIS IS

Answers

390625

^if that’s what you meant in the picture cause your question was confusing


HELP QUICK ROUND EACH VALUE TO THE NEAREST TENTH

Answers

Hmm I don’t know.... I really don’t know.

Find the volume of the pyramid. v=

Answers

Answer:

240 mi^3

Step-by-step explanation:

Base area = length x width = 10 x 8 = 80 mi^2

V = (base area x height)/3 = (80 x 9)/3 = 240 mi^3

help pls what is he surface area measured in square centimeters, of the shape
below do not include units in your answer

Answers

Answer:

Solution given:

l=8cm

b=8cm

h=3cm

now

total surface area=2(lb+bh+lh)

=2(8*8+8*3+8*3)=224cm²

224 cm² is a required volume.

In ΔWXY, the measure of ∠Y=90°, YX = 40, XW = 41, and WY = 9. What ratio represents the cosine of ∠W?

Answers

Answer:

[tex]\cos{W} = \frac{9}{41}[/tex]

Step-by-step explanation:

Cosine of an angle:

The cosine of an angle, in a right triangle, is the length of the side adjacent to this angle divided by the hypotenuse.

Length of the largest side:

The length of the largest side is 41, that is, the hypotenuse is 41. The hypotenuse is XW.

WY = 9.

This means that the length of the adjacent side to angle W is 9.

What ratio represents the cosine of ∠W?

Adjacent side has length 9, hypotenuse has length 41. So

[tex]\cos{W} = \frac{9}{41}[/tex]

One pipe can fill a tank in 4 hours. A second pipe also requires 4 hours, but a third
needs three hours. How long will it take to fill the tank if all three pipes are open?

Answers

Answer:

Step-by-step explanation:

We will use the idea here that the first 2 pipes can get 1/4 of the job done in an hour, and that the third pipe can get 1/3 of the job done in an hour. We need to know then the number of hours it will take to fill the tank if all 3 work together. The equation looks like this:

[tex]\frac{1}{4}+ \frac{1}{4}+ \frac{1}{3}= \frac{1}{x}[/tex] Now we find a common denominator and solve for x. The common denominator is 12x. Multiplying everything by 12 x gives us

3x + 3x + 4x = 12 and

10x = 12 so

x = 1.2 hours

Answer:

1.2 hours

Step-by-step explanation:

we need to see how much each pipes does in the same amount of time

The least common multiple of 3 hours and 4 hours is 12 hours

In 12 hours:

Pipe 1 at 4 hours to fill a tank fills 3 tanks

Pipe 2 at 4 hours to fill a tank fills 3 tanks

Pipe 3 at 3 hours to fill a tank fills 4 tanks

All three pipes can fill 10 tanks in 12 hours

12 hours/10 tanks = 1.2 hours to fill one tank

-------------------------

Doing just the math

1/4 + 1/4 + 1/3 = x

3/12 + 3/12 + 4/12 = 10tanks/12 hours

12hours/10tanks = 1.2 hours

What is the approximate lateral surface area of the cylinder?
9 cm
2 cm

Answers

Answer:

138 is closest to the  Lateral surface which is 113.097

Step-by-step explanation:

Arianna earns $15 for doing yard work for 3 hours. If Arianna charges at the same rate, how many hours will it take her to
earn $35? hours

Answers

Answer:

7 hours

Step-by-step explanation:

15 dollars +15 dollars 30 dollars=2 hours. 5 dollars left 15 divided by 3, 5 dollars. 3 divided by 3 = 1 so 1 hours is 5 dollars. My explaining is not good.

Answer: 7 hours

Step-by-step explanation:

She earns 5 dollars per hour because 5x3=15

and then you do 15x2=30

then 3x2=6

then just add 1 to 6

6+1=7

so there's your answer

7 hours

S(x)=5x+5
T(x)=_3x +4

The value of t(s(2))

Answers

Answer:

Step-by-step explanation:

This is a composite function, in which we will first evaluate the s function at a value of 2, then we will use that value in the t function.

s(2) = 5(2)+ 5 so

s(2) = 15. Now we evaluate the t function at 15:

t(15) = 3(15) + 4 so

t(15) = 49

Please show steps, 100 points and Brainliest
Convert vertex form f(x)=(x+2)^2-25 to factored form.

Answers

Answer:

f(x)=x^2+4x-21

Step-by-step explanation:

Answer:

f(x) = (x + 7)  (x - 3)

Step-by-step explanation:

f(x)=(x+[tex]2)^{2}[/tex]-25

(x + 7) (x - 3) we put the 2 x's because of the (x+2)^2

now the + 7 and - 3, multiply the 2 numbers = -21 then use those 2 in

(x+2)^2 to add for the answer = -25

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