The fan below has been stretched open as far as it will go to form a semi-circle.
Each of the eighteen sectors formed by the fan consists of the same amount of fabric. The length of
each wooden rod that connects the center of the fan to its edge is 12 cm. The wooden rods are
glued to the fabric forming the fan. Determine the approximate area of each sector.

Answers

Answer 1

Answer:

Area of each sector=[tex]12.6cm^2[/tex]

Step-by-step explanation:

We are given that

Length of each wooden od that connects the center of the fan to its edge ,r=12 cm

Total number of sectors=18

We have to find the approximate area of each sector.

Area of semi-circle=[tex]\frac{1}{2}\pi r^2[/tex]

Using the formula

Area of fan=[tex]\frac{1}{2}\pi (12)^2=72 \pi cm^2[/tex]

Area of each sector=[tex]\frac{area\;of\;fan}{Total\;number\;of\;sectors}[/tex]

Area of each sector=[tex]\frac{72\pi}{18}=\frac{72\times 3.14}{18} cm^2[/tex]

Where [tex]\pi=3.14[/tex]

Area of each sector=[tex]12.56cm^2\approx 12.6 cm^2[/tex]


Related Questions

10 • 4/10y = -28 • 10

Answers

Answer:

y=-70

Step-by-step explanation:

10.4/10y=-28.10

4y=-280

y=-70

PLEASE HALPPP

Jason left a bin outside in his garden to collect rainwater. He notices that 1/5 gallon of water fills 2/3 of the bin. Write and solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.

(I need sleep and will give brainiest or whatever TvT)​

Answers

Step-by-step explanation:

[tex]\huge\mathfrak\red{Answer}[/tex]

We can set this up as a proportion

(1/5) gallon / (2/3) bin = x gallons / 1 bin cross-multiply

1/5 = (2/3)x multiply both sides by the reciprocal of 2/3 = 3/2

(3/2) (1/5) = x = 3/10 gallons fills the entire bin

Look at it this way each 1/10 of a gallon fills 1/3 of the bin.

so 3(1/10) gallons fills 3(1/3)bins..

or

3/10 galons fills a whole bin.

Practice multiplying numbers by powers of 10.

Answers

Answer:

Multiply (400 + 20 + 3) x 10000

Add 4 zeros to the end of 423

Step-by-step explanation:

423 x 10,000 = Adding the amount of zero’s in 10000 to 423



plssssssss helpppppppppppp i want it now pls​

Answers

3/5kg + 760g

3/5kg = 3/5×1000

= 600g

Now

600g + 760g = 1360g

Or 1.36kg

Answered by Gauthmath must click thanks and mark brainliest

600g is the correct answer. u welcome

Given that 3=a+r/a-r,make r the subject of the formula?​

Answers

i- dont know...sorry

The graph of h(x) = (x - 3)2 is a translation of the
graph of f(x) ….. blank
by
…. Blank units.

Answers

Answer:

right by 3 I think

Step-by-step explanation:

Answer: Right by 3 Units

Step-by-step explanation:

Right on edge 2021

Which figures are polygons?​

Answers

Answer: A,C,D

Step-by-step explanation:

Answer:

pretty sure it's a, c, and d

Step-by-step explanation:

polygons have straight sides, not curved. it's a 2d figure, and it is enclosed. b doesn't fit the criteria of that because of the fact that the shape is a bit curved, as the other options do fit that criteria.

can someone please help me with this math thing, i'm being timed and i don't know what else i can do, if someone wants to help just do the Nick one the graph and the Sammy and Mariam one i’ll try to do by myself but please help me

Answers

Answer:

Step-by-step explanation:

a. amt. of weeks and hours worked

Maya is learning to drive, so this weekend she practiced driving 1/2 of a mile with her mother and another 3/4 of a mile with her father. How far did Maya drive in all?

Answers

Step-by-step explanation:

1/2 + 3/4

= 2/4 + 3/4

= 5/4

= 1 and 1/4 miles

Help me pleaseee i could really use it

Answers

Answer:

20 and 42

Step-by-step explanation:

Let the greater number be x and the smaller number be y.

3(x +y)= 186

x +y= 186 ÷3

x +y= 62 -----(1)

x -y= 22

x= y +22 -----(2)

Substitute (2) into (1):

y +22 +y= 62

2y= 62 -22 (-22 on both sides)

2y= 40

y= 40 ÷2

y= 20

Substitute y= 20 into (2):

x= 20 +22

x= 44

Thus, the two numbers are 20 and 42.

( √8/3 - √24 + √50/3) . √6

Answers

Answer:

6(3√3-2)

Step-by-step explanation:

(√8/3 - √24 + √50/3) . √6

(√8/3 - 2√6 + 25√2/3) . √6

(2√2/3 - 2√6 + 25√2/3) . √6

(27√2/3 - 2√6) . √6

(27√12/3 - 12)

9√12-12

√12(9-√12)

2√3(9-2√3)

6(3√3-2)

Answer:

2

Step-by-step explanation:

[tex]( \sqrt{8/3} - \sqrt{24} + \sqrt{50/3} )* \sqrt{6} =\\\sqrt{48/3} - \sqrt{144} + \sqrt{300/3} =\\\sqrt{16} - 12 + \sqrt{100} =\\4 - 12 + 10 =\\2[/tex]

Solve for x. Solve for x.

Answers

Answer:

4√3

Step-by-step explanation:

This is a right triangle. When two sides are given in a right triangle, we need to use the Pythagorean Theorem to solve for the third side.

Pythagorean Theorem: a² + b² = c²

The a here is 11, while the b is x. The c is always the hypotenuse (the longest side), which is 13.

Now we substitute:

11² + x² = 13²

121 + x² = 169

-121           -121

x² = 48

√x² = √48

x = √48 <-- We can simplify that.

√48 = 12 * 4 = 3 * 4 * 4 = 4√3

Hello !

Answer:

[tex]\boxed{\sf x=4\sqrt 3}[/tex]

Step-by-step explanation:

It is a right-angled triangle. To find the value of x, we will have to use the Pythagorean theorem which says that the lengths of the sides of a right-angled triangle satisfy the following equality :

[tex]\boxed{\sf c^2=a^2+b^2}[/tex]

Where :

c represents the length of the hypotenuse.a,b represents the lengths of the other two sides.

In this triangle, we can consider a = 11, b = x, and c = 13.

Let's substitute the values of a, b, and c into the formula.

[tex]\sf 13^2=11^2+x^2[/tex]

Now we have to solve the equation to find the value of x.

Let's subtract 11² from both sides and calculate.

[tex]\sf 13^2-11^2=11^2-11^2+x^2\\x^2=13^2-11^2\\x^2=169-121\\x^2=48[/tex]

Reminder : if x² = a (a ≥ 0), then x = ±√a.

Let's apply that to our equation.

[tex]\sf x=\pm \sqrt{48}[/tex]

x represents a distance, it must be positive. The unique solution is:

[tex]\sf x=\sqrt{48}\\\boxed{\sf x=4\sqrt 3}[/tex]

Have a nice day ;)

Not sure how to do this! I’m supposed to find the area of each shape, but the slits in the shapes are confusing me and I’m not too sure how to do these problems!

Answers

sorry i don't know answe're of this question

PLS HELP MEE

1st equation: a^2 + b^2 = c^2
2nd equation: a^2 + b^2 = n^2

Since the equations for both triangles have a^2 + b^2, you can think of the two equations for c^2 and n^2 as a system of equations. Substitute what a^2 + b^2 equals in the first equation for a^2 + b^2 in the second equation. After you substitute, what equation do
you get?

Answers

Answer:

c² = n²

Step-by-step explanation:

Given the 2 equations

a² + b² = c² → (1)

a² + b² = n² → (2)

Substitute a² + b² = c² into (2)

c² = n²

Convertir 675 Faren a Kelvin (Con ecuaciones porfavor)

Answers

Answer:

(675°F − 32) × 5/9 + 273.15 = 630.372K

Hope it's right if not so sorry :)

Write an equation
in slope y-intercept form A(2,6),m=0

Answers

Solve for b:

y = 0x + b

6 = 0 + b

b = 6

The answer is y = 0x + 6

HELP PLEASE

A tuning fork with a period of 1.95 x 10-3 is struck at the same time as a guitar
string. If 24 beats are heard in 6.0 s, find the possible frequency or frequencies of the guitar string.

Answers

Answer:

The possible approximate frequencies of the guitar string are 516.82 Hz and 508.82 Hz

Step-by-step explanation:

The given period of the tuning fork, T₁ = 1.95 × 10⁻³ s

The number of beats in 6.0 s = 24 beats

Therefore, the beat frequency, [tex]f_{beat}[/tex] = 4 beats per second = 4 Hz

Let f₁ represent the frequency of the tuning fork, and let f₂ represent the frequency of the guitar string, we have;

f₁ = 1/T₁ = 1/(1.95 × 10⁻³) ≈ 512.82 Hz

We have;

[tex]f_{beat} = \left | f_2 - f_1 \right |[/tex]

[tex]\pm f_{beat} = f_2 - f_1[/tex]

Therefore, we get;

[tex]4 \, Hz= \left | f_2 - 512.82 \, Hz \right |[/tex]

f₂ - 512.82 = ± 4

∴ f₂ = 512.82 ± 4

The possible frequencies of the guitar string,  f₂ ≈ 516.82 Hz or f₂ ≈ 508.82 Hz

IF a and bare roots of 3x² - 6x + 2=0 ,then find. a, a-b​

Answers

Answer:

a is 1.58 and b is 0.42

Step-by-step explanation:

[tex]{ \sf{3 {x}^{2} - 6x + 2 = 0 }} \\ { \sf{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} }} \\ \\ { \sf{x = \frac{ - ( - 6)± \sqrt{ {( - 6)}^{2} - (4 \times 3 \times 2) } }{(2 \times 3)} }} \\ \\ { \sf{x = \frac{6± \sqrt{12} }{6} }} \\ \\ { \sf{x = 1.58 \: and \: 0.42}}[/tex]

What is the value of x
(X+40) (3x)
A. 20
B. 35
C. 60
D. 70

Answers

Answer: A. 20 is the answer.

Step-by-step explanation:

x+40 = 3x

or, 40 = 3x-x

or, 2x = 40

or, x = 40/2

so, x = 20

i’m using this app so much but i really do appreciate the help pleasee no wrong answers

Answers

Answer:

C is correct

Step-by-step explanation:

a is wrong because: 1*-1*-1*-1 =1

b) 1*1*1*1 =1

d) 1*-1*1*1 =1

only c 1*-1*-1*1 =-1 at the end of polynomial

Which point gives the vertex of ƒ(x) = –x2 + 4x – 3?

Answers

Answer:

The vertex is (2,1)

Step-by-step explanation:

ƒ(x) = –x^2 + 4x – 3

Factor out the negative

   = -(x^2 -4x+3)

 Factor

What 2 numbers multiply to +3 and add to -4

-3*-1 = 3

-3+-1 = -4

f(x) =  -( x-3)(x-1)

Find the zeros

0 = -( x-3)(x-1)

0 = x-3   0 = x-1

x=3            x=1

The x value of the vertex is 1/2 way between the two zeros

(3+1)/2 = 4/2 =2

To find the y value, substitute x=2 in

f(2) =  -( 2-3)(2-1)

       =-(-1)(1) = 1

The vertex is (2,1)

\frac{2x^2 + 3x}{x^2 + 1 } =2

Answers

Answer:

3x = 2

x = 2/3

[tex]\frac{2x^2 + 3x}{x^2 + 1 } =2[/tex]

Step-by-step explanation:

This is a scale drawing of a house where 1 centimeter represents 0.6 meters. What is the height of the house at its highest point? Round to one decimal point, if necessary.

Answers

Answer:

Height of the house = 3 meter (Approx.)

Step-by-step explanation:

Given:

Scale model;

1 centimeter = 0.6 meter

According to graph

Height of cube = 5 cube = 5 centimeter

Find:

Height of the house

Computation:

Height of the house = height of the house in scale model x Scale model

Height of the house = 5 x 0.6

Height of the house = 3

Height of the house = 3 meter (Approx.)

can you please help me with this.

Answers

Answer:

Step-by-step explanation:

The equation for an arithmetic sequence is

[tex]a_n=a_1+d(n-1)[/tex]  where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.

Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:

[tex]a_n=2+3(n-1)[/tex] which simplifies to

[tex]a_n=2+3n-3[/tex] and a bit more to

[tex]a_n=3n-1[/tex] (which should tell you that arithmetic sequences are lines!)

Finding the 13th number simply requires that we replace n with 13 and solve:

[tex]a_{13}=3(13)-1[/tex] so

[tex]a_{13}=38[/tex]

Answer:

38

Step-by-step explanation:

This isn't the most efficient way but it's the best I can do.

2, 5, 8, 11....

The pattern is that we add 3 every time.

2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38,

1 , 2, 3, 4, 5,  6,   7,    8,    9,   10,  11,   12,  13

We can see that 38 is the 13th term of the sequence.

A woman making $32,000
a year receives a cost-of-living increase that raises her salary to $32,768
per year. Find the percent of increase in her yearly salary.

Answers

Percentage increase= $768÷32000=0.024

=0.024×100=2.4%

Which functions have a maximum value greater than the maximum of the function g(x) = -(x + 3)2 - 4?

Answers

Answer:

max: -4

Step-by-step explanation:

(x+3)^2 》0 mọi x

<=> -(x+3)^2 《0

<=> -(x+3)^2 -4 《 -4

Please help geometry

Answers

Answer:

1187.52

Step-by-step explanation:

2 π r h + 2 π r² = 2·π·7·20+2·π·7² ≈ 1187.52202

Here you go i hope this will help you :)

Compara los siguientes pares de numeros enteros y representalos en la recta numerica A) +13 y-2 B) -5 y -7 C) +4 y +1 D) -5 y 0

Answers

Answer:

La única comparación que podemos hacer entre un par de números A y B, es la diferencia entre ellos, lo cual nos dice cuál es la distancia entre esos números en la recta numérica.

Es importante recordar la regla de los signos:

(+)*(+) = (+)

(+)*(-) = (-)

(-)*(+) = (-)

(-)*(-) = (+)

A)

+13 y -2

La difencia será:

13 - (-2) = 13 + 2 = 15

Para graficarlos en la recta numérica, recordar que los números negativos van el lado izquierdo, en la imagen de abajo, este par está representado con los puntos A y A.

B) -5 y -7

Aqui la diferencia es:

-5 - (-7) = -5 + 7 = 2

Es decir, hay dos unidades de distancia entre estos números.

En la recta estan representados con B y B'

C) +4 y +1

La diferencia es:

4 - 1 = 3

es decir, hay 3 unidades de distancia entre esos números

En la recta estan representados con C y C'

D) -5 y 0

La diferencia es:

0 - (-5) = 0 + 5 = 5

Es decir, hay 5 unidades de distancia entre esos numeros.

En la recta estan representados con D y D'

Ahora que sabemos la distancia entre cada par, tambien podemos hablar de que pares son mas cercanos entre ellos y ordenarlos.

De mas cercanos a más alejados, el orden es:

B, C, D, A.

MY LAST QUESTION PLEASE HELP
Given the special right triangle below, what is the value of the hypotenuse?
30°
60°
6
A
6
B
673
С
123
D
12

Answers

Answer:

12

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos 60 = 6/hyp

hyp = 6 / cos 60

hyp = 6 / (1/2)

htp = 12

what is the answer to
(35+5)[16+(12÷ 4)]

Answers

12÷4=3| |3+16=19| |35+5=40| 40+19=59|
|if I’m correct the answer to the equation should be 59 <3

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

760

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer...}}\\\\(35+5)[16+(12\div 4)]\\------------------\\\text{Follow \textbf{PEMDAS}}\\\\\rightarrow 35+ 5 = 40\\\\40[16+(12\div 4)]\\\\\rightarrow 12\div4 = 3\\\\\rightarrow 16 + 3 = 19\\\\40(19)\\\\\rightarrow 40 * 19\\\\\boxed{760}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

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