Find the area of a circle with (a) a radius of 9.2 centimeters and (b) a diameter of 50.5 inches.
Round your answers to the nearest hundredth.

Answers

Answer 1

Answer:

Circle A: 265.9 cm²

Circle B: 2002.96 inches²

Step-by-step explanation:

Hi there!

Circle A

[tex]A=\pi r^2[/tex] where r is the radius of the circle

Plug in the radius 9.2 cm

[tex]A=\pi (9.2)^2\\A=84.64\pi \\A=265.90[/tex]

Therefore, the area of the circle is 265.9 cm² when rounded to the nearest hundredth.

Circle B

[tex]A=\pi (\frac{d}{2}) ^2[/tex] where d is the diameter of the circle (because radius=diameter/2)

Plug in the diameter 50.5 inches

[tex]A=\pi (\frac{50.5}{2}) ^2\\A=\pi (25.25) ^2\\A=637.5625\pi \\A=2002.96[/tex]

Therefore, the area of the circle is 2002.96 inches² when rounded to the nearest hundredth.

I hope this helps!


Related Questions

Find the mean, median, mode, variance and standard deviation of the following data set
(10,9,11,6,9)

Answers

Answer:

Mean: 9

Median: 9

Mode: 9

Variance: 9

Standard deviation: 9

Step-by-step explanation:

Could you help me with this problem plz!!!

Answers

Is letter A the answer

Point N′(7, –8) is the image of point N(7, 8) under a reflection. What is the image of (–4, –10) under the same reflection?

Answers

Answer:

Image of the point (-4, -10) after reflection will be (-4, 10).

Step-by-step explanation:

Point N(7, 8) when reflected across x-axis, coordinates of the image point become N'(7, -8).

Rule for the reflection over the x-axis is

(x, y) → (x, -y)

Under the same reflection or following the same rule rule,

(-4, -10) → (-4, +10)

Therefore, image of the point (-4, -10) after reflection will be (-4, 10)

a car travels 480 miles in 7 1/2 hours. if the driver continues to travel at the same average speed, how many miles will the car travel in 12 hours?

Answers

480 miles = 7 1/2 hours

y miles = 12 hours

(cross multiply)

answer: 1645.7 miles

What is the volume of a cube that has a side length of 5 centimeters?
31
5 cm
Recall the formula Cube V=s.
cm3

Answers

Answer: The volume of the cube is 25 cubic centimeters.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cube: side lenght^3

Replacing with the side length value and solving for V (volume)

V= 5^2 = 25 cm2

In conclusion, the volume of the cube is 25 cubic centimeters.

Feel free to ask for more if needed or if you did not understand something.

Answer:

125

Step-by-step explanation:

Look at Google:)❤

what’s the solution

Answers

Answer:

We need more info

Step-by-step explanation:.

What is my favorite subject?
If you get this correct then I'll mark you brainliest
If you're wrong then I'll cancel your answer or you can edit it.

Answers

Answer:

I believe your favorite subject maybe Science and World geography

Step-by-step explanation:

I am not sure : )

Find the quotient.

3 divided by 3636

A. 1,212
B. 1,202
C. 122
D. 112
E. 102

help asap!!

Answers

The answer to the question is B

i need help with this questions can someone please help me

Answers

Answer:

pupil question:

3 6 1

3 have brothers

6 have both

1 has sisters

Step-by-step explanation:

3+6+1+2=12

Noah has 200 bottle caps that he has been collecting for 1 year.How much bottle caps does he collect everyday???

Answers

Answer:

165

Step-by-step explanation:

Answer:

1.825

Step-by-step explanation:

so 200 a year and there is 365 days in a year  365/200=1.825

HURRY!!!!! I NEED HELP!!!!!
Find Arc MN


A. 20

b.60

c.66

d.120

Answers

We have been given a circle. We are asked to find the measure of arc MN.

We know that the measure of all arcs in a circle is equal to 360 degrees. SO we can set an equation as:

[tex]\widehat{MN}+\widehat{NO}+\widehat{OL}+\widehat{LM}=360^{\circ}[/tex]

Upon substituting our given values, we will get:

[tex]\widehat{MN}+110^{\circ}+130^{\circ}+54^{\circ}=360^{\circ}[/tex]

[tex]\widehat{MN}+294^{\circ}=360^{\circ}[/tex]

[tex]\widehat{MN}+294^{\circ}-294^{\circ}=360^{\circ}-294^{\circ}[/tex]

[tex]\widehat{MN}=66^{\circ}[/tex]

Therefore, measure of arc MN is 66 degrees and option 'c' is the correct choice.

Gary needs to solve 120 problems by a certain day. He calculated, that to finish all the problems in time, he needs to solve 5 problems every day. But Gary's family is going on a trip, and for 4 days Gary will simply have no time to do math. How many problems will he need to be solving every day when he is not on a trip to still be done in time?

Answers

Answer:

To be done in time, he would need to solve 6 questions per day on the days that he is not on trip

Step-by-step explanation:

If he solves the problems 5 per day, the total number of days that would be required to finish solving the problem would be 120/5 = 24 days

Now, he has 4 free days which would be for a family trip. The number of questions that he would miss during those trip days will be 4 * 5 = 20 questions

Now since he wants to still finish on time, what is needed to be done is to share the 20 left overs amongst the 20 days which he has to work

This makes a total of 1 question per day

Adding this to the 5 questions per day he has before will be = 6 questions per day

Answer:

6 problems

Step-by-step explanation:

Suppose 30% of a population possess a given characteristic. If a random sample of size 1200 is drawn from the population, then the probability that less than 348 possess that characteristic is

Answers

Answer:

The probability that less than 348 possess that characteristic is 0.2148 = 21.48%.

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In this question, we have that:

[tex]n = 1200, p = 0.3[/tex]

So

[tex]\mu = E(X) = np = 1200*0.3 = 360[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{1200*0.3*0.7} = 15.8745[/tex]

The probability that less than 348 possess that characteristic is

Using continuity correction, this is P(X < 348 - 0.5) = P(X < 347.5), which is the pvalue of Z when X = 347.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{347.5 - 360}{15.8745}[/tex]

[tex]Z = -0.79[/tex]

[tex]Z = -0.79[/tex] has a pvalue of 0.2148.

The probability that less than 348 possess that characteristic is 0.2148 = 21.48%.

The population follows a normal distribution.

The probability that less than 348 possess that characteristic is 0.2248

The given parameters are:

[tex]\mathbf{n = 1200}[/tex]

[tex]\mathbf{p = 30\%}[/tex]

Start by calculating the mean:

[tex]\mathbf{\mu =np}[/tex]

[tex]\mathbf{\mu =1200 \times 30\%}[/tex]

[tex]\mathbf{\mu =360}[/tex]

Calculate the standard deviation

[tex]\mathbf{\sigma = \sqrt{np(1 - p)}}[/tex]

[tex]\mathbf{\sigma = \sqrt{360(1 - 30\%)}}[/tex]

[tex]\mathbf{\sigma = \sqrt{252}}[/tex]

[tex]\mathbf{\sigma = 15.87}[/tex]

Calculate the z-score

[tex]\mathbf{z = \frac{x - \mu}{\sigma}}[/tex]

Where:

x = 348

So, we have:

[tex]\mathbf{z = \frac{348 - 360}{15.87}}[/tex]

[tex]\mathbf{z = -\frac{12}{15.87}}[/tex]

[tex]\mathbf{z = -0.7561}[/tex]

So, the probability is represented as:

[tex]\mathbf{P(x < 348) = P(z < -0.7561)}[/tex]

From the z-table of probabilities, we have:

[tex]\mathbf{P(x < 348) = 0.2248}[/tex]

Hence, the probability that less than 348 possess that characteristic is 0.2248

Read more about probabilities at:

https://brainly.com/question/11234923

The box is 3/4 inch long, 1/2 inch wide, and 1,4 inch deep. What is the volume of the box.

Answers

Answer:

4/32

Step-by-step explanation:

3/4*1/2=3/8

3/8*1/4=4/32

Answer:

3/32 inch^3

Step-by-step explanation:

Complete the sentence.
Twenty-four is____
a0% of 80

HELP

Answers

Answer:

the answer is 30%

Step-by-step explanation:

24/80 = 0.3 or 30%

0.3 repeating as a fraction

Answers

Answer:

3/10 or three-tenths

Step-by-step explanation:

Hope this helps=D

Answer:

O.3 = 1/3

Step-by-step explanation:

divide 1÷3

you will get 0.3 to infinity

There are a total of 193 member states (countries) in the united nations as of 2014.The member states are divided into regional groups. The asia group has one less member than the africa group. The european groups are smaller: eastern europe has four less than half the africa group. The western europe group (which includes the united states) has 6 more than eastern europe. The latin america group has 21. Less than the africa group. One country (kiribati, in the central pacific ocean) is in no regional group at all. How many countries are in each of the five groups?

Answers

Answer:

Africa = 54 countries

Asia = 53 countries

Eastern Europe = 23 countries

Western Europe = 29 countries

Latin America = 33 countries

Step-by-step explanation:

193 member states - Kiribati = 192 countries

Asia = Africa - 1

Eastern Europe = 0.5Africa - 4

Western Europe = 0.5Africa + 2

Latin America = Africa - 21

Africa

Africa + (Africa - 1) + (0.5Africa - 4) + (0.5Africa + 2) + (Africa - 21) = 192

4Africa - 24 = 192

4Africa = 192 + 24 = 216

Africa = 216 / 4 = 54

Asia = 54 - 1 = 53

Eastern Europe = 0.5(54) - 4 = 23

Western Europe = 0.5(54) + 2 = 29

Latin America = 54 - 21 = 33

Africa is = 54 countries

Asia is = 53 countries

Eastern Europe is = 23 countries

Then, Western Europe is = 29 countries

After that, Latin America = 33 countries

What is Logical Data Grouping?

Then, 193 member states - Kiribati = 192 countries

After that, Asia = Africa - 1

Now, Eastern Europe = 0.5Africa - 4

Western Europe is = 0.5Africa + 2

Latin America is = Africa - 21

Africa

Africa + (Africa - 1) + (0.5Africa - 4) + (0.5Africa + 2) + (Africa - 21) = 192

4Africa - 24 = 192

4Africa = 192 + 24 = 216

Africa = 216 / 4 = 54

Asia = 54 - 1 = 53

Eastern Europe = 0.5(54) - 4 = 23

Western Europe = 0.5(54) + 2 = 29

Therefore, Latin America = 54 - 21 = 33

Find more information Logical Data Grouping here:

https://brainly.com/question/22607492

what's 7×2/3×5(2×6)​

Answers

Answer: your answer is 11.2 plz rate fairly im only 14

Step-by-step explanation:

7x2= 14 ÷15 = 0.93x12= 11.2

how to get the answer ?

Answers

Answer:

x=-3

Step-by-step explanation:

This is a vertical line, vertical lines have a slope of undefined

They are of the form

x = something

In this case x= -3

The height of a trapezoid is 16in. The bases are 32in and 24in. What is the area of the trapezoid.

Answers

Answer:

448in^2

Step-by-step explanation:

The area of a trapezoid is the bases added divided by two times the height.

(32+24)/2*16=28*16=448 in^2

The time, t, in hours, it takes to do a certain task varies according to the number of workers, w, who work on the task. If it takes 4.25 hours for 28 workers to paint the inside of a building, how many hours would it take 7 workers to complete the same task?
A.
29.75
B.
17.00
C.
12.75
D.
46.12

Answers

Answer:

B is the answer your looking for

Step-by-step explanation:

Factor X^2 + 14x + 49 =

Answers

Answer:

Step-by-step explanation:

X^2 + 7x + 7x + 49 = x*(x+7) + 7*(x+7) = (x+7)(x+7) = (x+7)^2

Answer:

The simplest form should be (x + 7)^2 (squared)

Step-by-step explanation:

This is a Perfect Square Trinomial. If the A and C values are both perfect squares then you can take the square root of them and that would become the factored version. Hope this helps! Please mark Brainliest! :)

If point (3,-3 above is refected across the xaxis, what would be the cordinates of the reflection? Explain

Answers

The coordinate of the plotted points would reflect and it would be (-3,-3)

Solve 22.5 + x = -47.37.

Answers

Answer:

x = -69.87

Step-by-step explanation:

22.5 + x = -47.37

Subtract the 22.5 on both sides:

x = - 69.87

Answer:

(225/10)+x=-(4737/100)  

One solution was found :

                  x = -6987/100 = -69.870

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "47.37" was replaced by "(4737/100)". 2 more similar replacement(s)

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

               (225/10)+x-(-(4737/100))=0  

Step by step solution :

Step  1  :

           4737

Simplify   ————

           100  

Equation at the end of step  1  :

  225                4737

 (——— +  x) -  (0 -  ————)  = 0  

  10                 100  

Step  2  :

           45

Simplify   ——

           2  

Equation at the end of step  2  :

  45          -4737

 (—— +  x) -  —————  = 0  

  2            100  

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  2  as the denominator :

        x     x • 2

   x =  —  =  —————

        1       2  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

45 + x • 2     2x + 45

——————————  =  ———————

    2             2    

Equation at the end of step  3  :

 (2x + 45)    -4737

 ————————— -  —————  = 0  

     2         100  

Step  4  :

Calculating the Least Common Multiple :

4.1    Find the Least Common Multiple

     The left denominator is :       2  

     The right denominator is :       100  

       Number of times each prime factor

       appears in the factorization of:

Prime  

Factor   Left  

Denominator   Right  

Denominator   L.C.M = Max  

{Left,Right}  

2 1 2 2

5 0 2 2

Product of all  

Prime Factors  2 100 100

     Least Common Multiple:

     100  

Calculating Multipliers :

4.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M  

   Denote the Left Multiplier by  Left_M  

   Denote the Right Multiplier by  Right_M  

   Denote the Left Deniminator by  L_Deno  

   Denote the Right Multiplier by  R_Deno  

  Left_M = L.C.M / L_Deno = 50

  Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

4.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      (2x+45) • 50

  ——————————————————  =   ————————————

        L.C.M                 100      

  R. Mult. • R. Num.      -4737

  ——————————————————  =   —————

        L.C.M              100  

Adding fractions that have a common denominator :

4.4       Adding up the two equivalent fractions

(2x+45) • 50 - (-4737)     100x + 6987

——————————————————————  =  ———————————

         100                   100    

Equation at the end of step  4  :

 100x + 6987

 ———————————  = 0  

     100    

Step  5  :

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 100x+6987

 ————————— • 100 = 0 • 100

    100    

Now, on the left hand side, the  100  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  100x+6987  = 0

Solving a Single Variable Equation :

5.2      Solve  :    100x+6987 = 0  

Subtract  6987  from both sides of the equation :  

                     100x = -6987

Divide both sides of the equation by 100:

                    x = -6987/100 = -69.870

One solution was found :

                  x = -6987/100 = -69.870

A baker has 88 muffins. He fills large boxes that hold 9 muffins each.Then, he puts the leftover muffins in a small box. How many muffins are in the small box.

Answers

Answer:

7

Step-by-step explanation:

Amar rakes leaves for his neighbors to earn money. He earned 64 dollars after
8 hours of work.
• How much does Amar make per hour raking leaves?

Answers

Answer : amar makes $8 per hour

Answer:

amar makes 8 dollars per hour

Step-by-step explanation:

to find the number of hours of work amar does you have to divide the total amount earned by the number of hours worked

64/8 = 8

every hour amar makes 8 dollars, $8 x 8 hours = $64

(2x+3)(4x-1)<8x^(2)+1

Answers

Answer: [tex]x<\frac{2}{5}[/tex]

Step-by-step explanation:

[tex](2x+3)(4x-1)<8x^2+1[/tex]

Begin by multiplying parentheses.

[tex](2x*4x)+(2x*-1)+(3*4x)+(3*-1)<8x^2+1[/tex]

[tex](8x^2)+(-2x)+(12x)+(-3)<8x^2+1[/tex]

[tex]8x^2-2x+12x-3<8x^2+1[/tex]

Subtract [tex]8x^2[/tex]

[tex]8x^2-2x+12x-3+(-8x^2)<8x^2+1+ (-8x^2)[/tex]

[tex]-2x+12x-3<1[/tex]

Add 3

[tex]-2x+12x-3+3<1+3[/tex]

[tex]-2x+12x<4[/tex]

Combine like terms;

[tex]10x<4[/tex]

Divide by 10

[tex]x<\frac{4}{10}[/tex]

Simplify;

[tex]x<\frac{2}{5}[/tex]

can someone help? 25 points

Answers

Answer:

8 hours

Step-by-step explanation:

HE has to pay $7 an hour.

8*7=56

He has a descount of $3, so

$56-$3=$53.

Which is the exat amount of money that Tony has.

Answer:

The answer is 46

Because he wants to spend less so you would do

7x7=49

He could only rent the boat for 7 hours because that would be less than 53$

Now you do 49-3=46

Because he had a discount

So the answer is 46

Step-by-step explanation:

Hope this helped!

A dilation with a scale factor of 1/3 is a reduction.
True or false

Thank you if you can help!

Answers

That's true.
That will make the thing a third of its original size.

Pls help w 13 I rlly need help rn

Answers

Answer:

the last one

Step-by-step explanation:

because it's true

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All remaining income is credited to Reese.- Neither partner is allowed to withdraw funds from the partnership during 2013. Thereafter, each can draw $5,000 annually or 20 percent of the beginning capital balance for the year, whichever is larger.The partnership reported a net loss of $8,000 during the first year of its operation. On January 1, 2014, Terri Dunn becomes a third partner in this business by contributing $10,000 cash to the partnership. Dunn receives a 20 percent share of the business's capital. The profit and loss agreement is altered as follows:- O'Donnell is still entitled to (1) interest on his beginning capital balance as well as (2) the share of partnership income just specified.- Any remaining profit or loss will be split on a 5:5 basis between Reese and Dunn, respectively.Partnership income for 2014 is reported as $64,000. Each partner withdraws the full amount that is allowed. 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