find the area of a sector of a circle with radius 6 centimetre if angle of sector is 60 degree​

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]area=\frac{\pi r^2 \times\theta}{360} =\frac{\pi 6^2 \times 60}{360} =6 \pi \approx 18.85~ cm^2[/tex]


Related Questions

Can someone please help me?

Answers

Answer:

B

Step-by-step explanation:

When you plug it in, another form could be y=-3x+2

Answer:

y=-3x+2

Step-by-step explanation:

y=-3x+7

parallel lines have the same slope but different y intercept which is b in the equation y=mx+b

since it passes through (2,-4) then x=2 and y=-4, m(slope)=-3

y=mx+b

-4=-3(2)+b

b=-4+6

b=2

y=-3x+2

Now use technology and use the cumulative probability​ 0.95, the mean muequals10.5​, and the standard deviation sigmaequals4.10 to determine the value for x0​, rounding to one decimal place.

Answers

Answer:

18.5

Step-by-step explanation:

In the above question, we are given the following values

Cumulative probability ( confidence interval) = 0.95 = 95%

Mean = 10.5

Standard deviation = 4.10

We are asked to find the value of x.

To solve for x , we would be using the z score formula.

z score = (x-μ)/σ,

where x is the raw score,

μ is the population mean

σ is the population standard deviation

z score was not given in the question, but we have our cumulative probability as 95%(0.95).

Using the appropriate table,

the z score for 95% confidence is z = 1.96.

Therefore,

z score = (x-μ)/σ,

1.96 = x - 10.5/4.10

Cross multiply

1.96×4.10 = x - 10.5

x = (1.96 × 4.10) + 10.5

x = 8.036 + 10.5

x = 18.536

Approximately to 1 decimal place

x = 18.5

A politician claims that a larger proportion of members of the news media are Democrats when compared to the general public. Let p1 represent the proportion of the news media that is Democrat and p2 represent the proportion of the public that is Democrat. What are the appropriate null and alternative hypotheses that correspond to this claim

Answers

Answer:

[tex]H_{o}[/tex]: Larger proportion of news media = democrats

Ha : Large proportion of news media [tex]\neq[/tex] democrats  

Step-by-step explanation:

The correct order of the steps of a hypothesis test is given following  

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the z - score for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

These steps are performed in the given sequence to test a hypothesis.

What is 1x1+5 hehe lol

Answers

Answer: 6

1x1 = 1
1+5 =6
560383 because I’m smrat

what is 10 times 2 divided by 5.

Answers

Answer:

4(four)

Step-by-step explanation:

You take the number 10×2=20

Then,20÷5=4

Four{4}is your answer

Answer:

4

Step-by-step explanation:

[tex]10 \times 2 \div 5[/tex]

Multiply the numbers

[tex] = 20 \div 5[/tex]

Divide :

[tex] = 4[/tex]

Hope this helps..

Good luck on your assignment..

Please solve it 90 POINTS please help- PLEASE HELP its Identify the following for the quadratic relations please solve it all please if you can save the picture and do it on the page

Answers

Answer:

Step-by-step explanation:

2)

a) elimination method

b) substitution method

c) substitution method

For the first part we can elimate the y variable by subtracting the equations. We can then find the value of x.

For the second part we can substitute y as 2x+5 in the second equation and solve for x.

For the third part we can substitute y as 4x+3 in the first equation and solve for x.

3)

If the blue radius below is perpendicular to the green chord and the segment
AB is 8.5 units long, what is the length of the chord?
A
A. 8.5 units
8.5
B
O B. 17 units
O C. 34 units
O D. 4.25 units

Answers

Answer:

O B. 17 units

Step-by-step explanation:

The chord is AC and the radius of the circle is perpendicular to the chord at B. AB = 8.5 units. According to the perpendicular bisector theorem, if the radius of a circle is perpendicular to a chord then the radius bisects the chord. This means that chord AC is bisected by the radius of the circle at point B. The length of the circle is calculated using:

[tex]AB=\frac{AC}{2}\\ AC=2*AB\\cross multiplying:\\AC = 2*8.5\ units\\AC = 17 \ units[/tex]

The length of the chord is 17 units.

Answer:

The answer is 17 units :D

Step-by-step explanation:

À television ser costs $350 cash. When
bought on hire purchase, a deposit of $35 is
required, followed by 12 monthly payments
of $30. How much is saved by paying cash​

Answers

Answer:

$45.

Step-by-step explanation:

When the TV is bought on hire purchase, you deposit $35 and pay $30 monthly. There are 12 payments. 12 * 30 = $360. 360 + 35 = $395.

Since cash would've cost $350, the amount of money saved by paying cash is 395 - 350 = $45.

Hope this helps!

Amy invests $10,000 in an account that pays 1% compound interest annually. She uses the expression (1+) to find the total value of the account after years. What will be the total value of the account after 10 years?

Answers

Answer:  $11046.22

====================================================

Work Shown:

P = amount deposited = 10000

r = interest rate in decimal form = 0.01

n = compounding frequency = 1 (annual compounding)

t = number of years = 10

--------

A = P*(1+r/n)^(n*t) ... compound interest formula

A = 10000*(1+0.01/1)^(1*10)

A = 11046.221254112

A = 11046.22  rounding to the nearest cent

What is the approximate circumference of the circle shown below?

Answers

Answer:

[tex]\boxed{\sf 43.35 \ cm}[/tex]

Step-by-step explanation:

Apply formula for the circumference of a circle.

[tex]\sf C=\pi d[/tex]

The diameter [tex]\sf d[/tex] is 13.8 cm.

[tex]\sf C=\pi (13.8)[/tex]

[tex]\sf C= 43.3539786195...[/tex]

[tex]\sf{C} \approx \sf{43.35}[/tex]

Answer:

43.4 cm

Step-by-step explanation:

Circumference of the circle = 2πr

r = radius, π = [tex]\frac{22}{7}[/tex]

f = diameter÷2

 =13.8 ÷ 2

 = 6.9

circumference = [tex]2 * \frac{22}{7} * 6.9\\[/tex]

                        = [tex]\frac{303.6}{7}[/tex]

                        = 43.37 cm or 43.4 cm

El equipo de béisbol de los Gatos Salvajes de Ludlow, un equipo de las ligas menores de la organización de los Indios de Cleveland, juega 70% de sus partidos por la noche y 30% de día. El equipo gana 50% de los juegos nocturnos y 90% de los diurnos. De acuerdo con el periódico de hoy, ganaron el día de ayer. ¿Cuál es la probabilidad de que el partido se haya jugado de noche?

Answers

Answer:

0.5645

Step-by-step explanation:

De la pregunta anterior, se nos dan los siguientes valores para el equipo de Ludlow

Probabilidad de jugar de noche = 70% = 0.7

Probabilidad de ganar en la noche = 50% = 0.5

Probabilidad de jugar durante el día = 30% = 0.3

Probabilidad de ganar durante el día = 90% = 0.9

Probabilidad de que cuando ganaron ayer, el juego se jugó por la noche =

(Probabilidad de jugar de noche × Probabilidad de ganar de noche) ÷ [(Probabilidad de jugar de noche × Probabilidad de ganar de noche) + (Probabilidad de jugar de día × Probabilidad de ganar de día)]

Probabilidad de que cuando ganaron ayer, el juego se jugó de noche = (0.5 × 0.7) ÷ (0.5 × 0.7) + (0.9 × 0.3)

= 0.35 ÷ 0.35 + 0.27

= 0.35 ÷ 0.62

= 0.5645

La probabilidad de que el partido se haya jugado de noche = 0.5645

The polynomial function F(x)= 2x^2 +4 has a critical point at which of the
following x-values?
A. X=0
B. X=4
C. X=2
D. X=-2​

Answers

the answer is A,when X=0

The perimeter of a rectangle is 61 centimeters. The length is 4.1 centimeters longer than the width, w. Which equation can be used to find the width of this rectangle?

Answers

Answer:

P=2(length+width)

the length is 4.1 cm more than the width: l=4.1+w

61=(2(4.1+w+w))

61=8.2+2w+2w

61-8.2=4w

4w=52.8

w=13.2

Answer:

14 46\14

Step-by-step explanation:

p=L+W

p=61

L=4.1

W=?

61=4.1+W

61=4.1W

61\4.1=4.1\4.1

=14 46\14

Find the sum of all solutions to $(4x+3)(x-8)+(x-1)(4x+3)=0$

Answers

Answer:

3 3/4

Step-by-step explanation:

(4x+3)(x-8)+(x-1)(4x+3)=0

Factor out 4x+3

(4x+3)( x-8+x-1) =0

Combine terms

(4x+3) ( 2x-9) =0

Using the zero product property

4x+3 = 0    2x-9 =0

4x=-3         2x = 9

x = -3/4       x = 9/2

Sum the solutions

-3/4 + 9/2

-3/4 + 18/4

15/4

3 3/4

linear equations: w-3=15

Answers

Answer:

w = 18

Step-by-step explanation:

w-3=15

Add 3 to each side

w-3+3=15+3

w = 18

Answer:

w = 18.

Step-by-step explanation:

w - 3 = 15

w = 15 + 3

w = 18

Check your work!

18 - 3 = 15.

Hope this helps!

Simplify the expression (4x+22x)/(2x)

Answers

Answer:

The answer is 13.

Step-by-step explanation:

here, ( 4x+ 22x)/2x

taking 2x common we get, 2x(2+11)/2x

=13 ..... is answer ( as 2x gets cancelled)

Hope it helps..

A ladder leaning against a wall makes a 35° angle with the ground. The foot of the ladder is 5 meters from the wall. What is the length of ladder?

Answers

Greetings from Brasil...

Using Cossine we will get the length L of ladder

COS 35 = 5/L

L = 6,1

help me pls with this complete a and B I will give you brainliest if answer is correct:-)​

Answers

Answer:

a) Multiplied by 1.04

b)160(1.06)=169.6

Step-by-step explanation:

Its increasing so (1+4%) will be what it multiplied to.

Hope it helps u

160(1+6%)=169.6

11. John has a life insurance policy that will pay his family $32,000 per year if he dies. If interest rates are at 2.5% when the insurance company has to pay, what is the amount of the lump sum that the insurance company must put into a bank account?

Answers

Answer:

$1280000

Step-by-step explanation:

Given that :

John has a life insurance policy that will pay his family $32,000 per year if he dies

If interest rates are at 2.5% when the insurance company has to pay

The amount of the lump sum that the insurance company must out into a bank account can be determined by the division of the amount to be paid by the interest rate.

i.e

the amount of the lump sum = $32000/2.5%

the amount of the lump sum = $32000/0.025

the amount of the lump sum = $1280000

the question is in the attachment...

Answers

Answer:

Rest of the part will be = x - 5x/10- x/10

solution will be 4x/10 i.e 4/10 part of the garden

Step-by-step explanation:

Let the sum total of parts of garden be x

If it is divided into 10 equal parts then

one part will be equal to x/10

Given carrots are planted on 5/10 of the garden

parts on which garden is planted = 5/10 * total part of garden = 5x/10

Given peas are planted on 1/10 of the garden

parts on which peas are is planted = 1/10 * total part of garden = x/10

On rest of the part corn is planted.

Rest of the part will be = total parts of garden - part on which carrots are planted - part on which carrots are planted

Rest of the part will be = x - 5x/10- x/10 = (10x-5x-x)/10 = 4x/10

Model will be

Rest of the part will be = x - 5x/10- x/10

solution will be 4x/10 i.e 4/10 part of the garden

PLSSS HELP


Kenny and Michael have scored points during a basketball game. Kenny has scored 131313 points, and Michael has scored ppp points. Together they have scored a total of 272727 points. Select the equation that matches this situation. Choose 1 answer:


Choose 1 answer:

(Choice A)
A
13 + p = 2713+p=2713, plus, p, equals, 27

(Choice B)
B
13 = p + 2713=p+2713, equals, p, plus, 27

(Choice C)
C
13 - p = 2713−p=2713, minus, p, equals, 27

Answers

Answer:

A

Step-by-step explanation:

Kenny scored 13 points, and Micheal scored p points.  They scored a total of 27 points.  This means that 27 is the sum of their scores.  The answer is A.

13 + p = 27

Answer:

It’s b or it’s 13+p=27

Step-by-step explanation:

-4______1 what symbol makes this sentence true

Answers

Answer:

<

Step-by-step explanation:

How much money do winners go home with from the television quiz show Jeopardy? To determine an answer, a random sample of winners was drawn and the amount of money each won was recorded and listed below. Estimate with 96% confidence the mean winning's for all the show's players.

Answers

Step-by-step explanation:

Given:

x = 26214.47

s = 5969.25

n = 15

t = 2.046

The confidence interval is:

CI = x ± t (s / √n)

CI = 26214.47 ± 2.046 (5969.25 / √15)

CI = (23061.06, 29367.88)

Someone please explain

Answers

Area of a triangle is 1/2 x base x height.

The graphed triangle has height of 2 and base of 2.

Area = /2 x 2 x 2 = 2 square units.

The triangle gets enlarged by a scale factor of 2, so the new height would be 2 x 2 = 4 and the new base would be 2 x 2 = 4

Area of enlarged triangle = 1/2 x 4 x 4 = 8 square units.

The answer is C) 8

Nadia built a robot to filter air and water efficiently. She expects the robot to filter more than 343 liters of
air and water while using less than 49 Joules of energy.
12A + 8W > 343 represents the number of minutes the robot filters air A and water IV to hiter more
than 343 liters of air and water.
3A +41V < 49 represents the number of minutes the robot hiters air and water while using less than 49
Joules of energy

Does the robot meet both of Nadia's expectations by filtering air for 20 minutes and filtering water for 15
minutes?

Choose 1 answer.

A. The robot meets both of Nadia's expectations.

B. The robot filters the expected amount of air and water, but it doesn't use the expected amount
of energy

C. The robot uses the expected amount of energy, but it doesn't filter the expected amount of air
and water.

D. The robot doesn't meet either of Nadia's expectations.​

Answers

Answer:

The correct option is;

B. The robot filters the expected amount of air and water, but it doesn't use the expected amount of energy

Step-by-step explanation:

The given requirements are;

Volume of air and water to be filtered by the robot = 343 liters

The amount of energy consumed by the robot < 49 joules

The number of minutes the robot filters air and water to filter more than 343 liters = 12A + 8W > 343

The number of minutes the robot filters air and with less than 49 Joule of energy = 3A + 4W < 49

Given that filtering air takes 20 minutes, filtering water takes 15 minutes, we have;

To filter more than 343 liters, we have

12*20 + 8*15 = 360 > 343

The robot meets the amount of air and water requirement

To filter with less than 49 joules we have

3*20 + 4*15 = 120 > 49

Therefore, the robot does not meet the energy requirement

The correct option is the robot filters the expected amount of air and water, but it doesn't use the expected amount of energy.

Find volume of cylinder if its
radius
height
5.5m and
height 9 m?​

Answers

Answer:

855.298 m^3

Step-by-step explanation:

The volume of a cylinder equation is piR^2H.

So pi5.5^2×9

855.298 m^3

PLEASE HELP MEEEE
I need help finding x a b and c

Answers

Answer:

x=15

angle b=7*15=105

angle a=180-105=75

angle c=2x=30

Step-by-step explanation:

b=7x

sum of straight angle :=180

isoceles traingle = 2 sides are equal, and two angles are equal

b+a=180

7x+a=180

sum of traingle =180

2a+c=180

2a+2x=180  first equation

7x+a=180    second equation

solve by elimination ( multiply second equation by 2)

2a+2x=180

2a+14x=360 ( subtract)

2a+2x-2a-14x=180-360

-12x=-180

x=-180/12=

x=15

angle b=7*15=105

angle a=180-105=75

angle c=2x=30

find the value of the letter in each of the following and give reasons for the steps involved 1 2 A+6 A B=A 0 9​

Answers

Question:

Find the value of the letter in each of the following and give reasons for the steps involved:

1 2 A

+ 6 A B =

A 0 9

Answer:

128 + 681 =  809

Step-by-step explanation:

Here, let's use the general form of numbers where any  letter must represent one value and each digit must be represented by just one letter.

Take the following:

A = 8

B = 1

Thus, A +B = 8 + 1 = 9

Also add:

8 + 2 = 10

In general form, tens digit is zero and the 1 is carried over.

I.e, A = 1 + 6 + 1 = 8

We can now see that,

A = 8

B = 1

Therefore,

1 2 A

+ 6 A B =

A 0 9

Will be written as:

128 + 681 =  809

Find the area of the triangle.

Answers

Answer:

10.5 cm^2

Step-by-step explanation:

Since we have two sides and the angle between those sides, we can use the alternative area formula:

[tex]A=\frac{1}{2}ab\sin(C)[/tex]

a and b are the two sides while C is the angle in between the two sides.

Plug in the numbers:

[tex]A=\frac{1}{2}(7)(6)\sin(150)[/tex]

Recall the unit circle. Sin(150) is 1/2.

[tex]A=21(\frac{1}{2})[/tex]

[tex]A=21/2=10.5cm^2[/tex]

A study was conducted on the effect of daytime running lights on cars. Researchers gathered data from a random sample of 3,248 drivers and measured
quite a few variables, in addition to the explanatory variable of daytime running lights and the response variable of less accidents. According to a
newspaper article summarizing the study, those cars that had daytime running lights were more likely to be operated by drivers who were confident and
attentive. Drivers whose cars did not have daytime running lights were about 22% more likely to have an accident. What conclusion can we draw from this
study? Explain.

We can infer a cause-and-effect relationship because the sample was selected randomly.

We cannot infer a cause-and-effect relationship because we do not have a control group.

We can infer a cause-and-effect relationship because multiple variables were included.

We cannot infer a cause-and-effect relationship because treatments were not assigned randomly.

We cannot infer a cause-and-effect relationship because the treatments imposed were not blocked correctly.

Answers

Answer:

The correct option is;

We cannot infer a cause and effect relationship because we do not have a control group

Step-by-step explanation:

The treatment in research involves giving stimulus known as treatment to a group or portion of the sample which are then known as the treatment group while the remaining portion of the the sample are exempted from the stimulus. A successful treatment manipulation is one where members of the treatment group perform higher in the measured metrics of the research than members of the control group.

Given that the researchers gathered data from a random sample of drivers and measurement of several variables  including the explanatory  variable of the of the research without subjecting a sample to a treatment or having a control group we cannot infer a cause and effect relationship as there are no control group

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