A circle is inscribed in a square. If the perimeter of the square is 40, what is the area of the circle? Use 3.14 for pi.

Answers

Answer 1

Answer:

78.5

Step-by-step explanation:

We have the perimeter of the square, which is 40, and 40/4=10. In this picture, we see that the circle's diameter is the same as the length of one side of the square. Therefore, the diameter of the circle is 10. The are formula for circles is [tex]\pi r^{2}[/tex], where [tex]r[/tex] is the radius. The radius of the circle is just the diameter divided by 2, and 10/2=5. Now, [tex]5^2[/tex] is 25, and [tex]3.14\cdot25=78.5[/tex].

A Circle Is Inscribed In A Square. If The Perimeter Of The Square Is 40, What Is The Area Of The Circle?

Related Questions

Susan needs to buy apples and oranges to make fruit salad. She needs 15 fruits in all. Apples cost $3 per piece, and oranges cost $2 per piece. Let m represent the number of apples. Identify an expression that represents the amount Susan spent on the fruits. Then identify the amount she spent if she bought 6 apples. 30 + 5m; $36 30 + m; $36 30 + 5m; $24 30 + m; $24

Answers

Answer:

m + 30 ; $36

Step-by-step explanation:

Given that:

Total fruits needed = 15

Fruits needed :

Apple (m) ; cost = $3 per piece

Oranges (o) ; cost = $2 per piece

Amount spent on fruits :

[(cost of apple * number of apples) + (cost of orange *(total fruits - number of apples)]

3m + 2(15 - m)

3m + 30 - 2m

3m - 2m + 30

m + 30

Amount spent if 6 apples is purchased :

m = 6

m + 30

6 + 30 = $36

What is the percentage of change from 400 to 300?

Answers

Answer:

25%

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

400*.25=100

400-100=300

Hope this helps!!

Three Rivers publishes a catalog each year, last year it had 198 pages back and front. We

print 150 copies. How much does it cost the college if a ream, 500 pages, cost

$7.40 each?

Answers

Answer:

$222

Step-by-step explanation:

We need to find how many ream was used in the printing forts, to determine how much the College spent.

The catalog is 198 pages, back and front, which means, 1 leaf will take 2 pages. Therefore, 99 pages were used in printing 1 copy of the catalog.

No of pages that were used in printing 150 copies = 150*99 = 14,850 pages.

If 500 pages = 1 realm, therefore,

14,850 pages = 14,850/500 = 29.7.

Since, it's a full team that is sold, let's approximate the number of reams bought to be 30 reams.

If 1 ream costs $7.40, therefore,

30 reams = 30*7.40 = $222

Choose the letter of the correct answer Write your answer on a separate
sheet
1. What do you call an expression in fraction form in which the numerator and
the denominator are polynomials?
A. rational algebraic equation
C. rational algebraic expression
B. linear algebraic expression
D. finear algebraic equation
2. In a rational algebraic expression written in the form of where P and Q are
polynomials, the polynomial Q must not be equal to
AO
C 2
B.
D. 3
3. Which of the following is a rational algebraic expression?​

Answers

Answer:

1. Rational Algebraic Expression

2. 0

3. See explanation

Step-by-step explanation:

Solving (1):

From the list of given options, Option C. Rational Algebraic Expression answers the question.

And it is always of the form P/Q where P and Q are polynomials

Take for instance

P = x² - x + 2 and Q = x² + 2x - 4

P/Q = (x² - x + 2)/(x² + 2x - 4)

The above expression is a perfect example of a Rational Algebraic Expression

Solving (2): The denominator of a rational algebraic expression must not equal 0

Hence, option A answers the question

Solving (3): The options are missing.

However, a perfect example has been sighted on (1) above

I need help with mixed numbers when subtracting plz

Answers

Answer:

turn it into an improper fraction then subtract

Step-by-step explanation:

5×6=30

30+1=31

31/6

3×6=18

18+5=21

21/6

31/6 - 21/6 = 10/6

simplify: 5/3 ♡

I'm not sure tho lol

Norbert’s Nursery is having a sale. Flats of flowers are priced as marked, including tax. Jake buys 2 flats of petunias at $5.25, 3 flats of daisies at $7.65, and 1 flat of begonias at $8.40. If he pays with a $50 bill, how much change should Jake receive?

Answers

Answer:

I am a student. Jake should receive 8.15 dollars in change. Please pick me brainliest! I am new to this website and I wanna help.

Step-by-step explanation:

I NEED HELP LIKE REALLY REALLY FAST

Answers

Answer:

56 inches I believe.

I'm not 100% sure.

The surface area is 50 square inches

The auxiliary equation for the given differential equation has complex roots. Find a general solution. y''-10y' 29y=0

Answers

Answer:

[tex]y = Acos5x - Bsin5x[/tex]

Step-by-step explanation:

Given the differential equation y''-10y'+29y=0

First, we need to rewrite it as an auxiliary equation as shown:

Let y'' = m²y and y' = my

Substitute the values into the general equation

m²y-10my+29y = 0

Factor out y:

(m²-10m+29)y = 0 [The auxiliary equation]

Solve the auxiliary equation and find the roots of the equation

m²-10m+29 = 0

m = -b±√(b²-4ac)/2a

a = 1, b = -10, c = 29

m = -10±√(10²-4(1)(29))/2(1)

m = -10±√(100-116)/2

m = -10±√-16/2

m = (-10±4i)/2

m = -10/2 + 4i/2

m = -5+2i

Comparing the complex number with a+bi, a = -5 and b = 2

The general solution for complex solution is expressed as:

[tex]y = Acosax + Bsinax[/tex]

Substitute the value of a in the equation

[tex]y = Acos(-5)x + Bsin(-5)x\\y = Acos5x-Bsin5x[/tex]

Hence the general solution to the differential equation is [tex]y = Acos5x - Bsin5x[/tex]

Over 4 months, Ms. Berg wrote 4 equal checks totaling $250 to pay for her salon services. How many did she withdraw from her account to pay for her services?

Answers

Answer:

$62.50 because

Step-by-step explanation:

250÷4=62r2

62.50•4=250

Ms. Beg withdraw $62.5 from her account to pay for her services.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit,  followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Ms. Berg wrote 4 equal checks totaling $250 to pay for her salon services.

to with

So, to withdraw from the account to pay for services each month

= 250/4

= 125/2

= 62.5

Hence, she withdraw $62.5 from her account to pay for her services.

Learn more about unitary Method here:

https://brainly.com/question/22056199

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3 5 of students at a school are boys. If there are 2610 students at the school, how many are girls?

Answers

Answer:

1044 girls in the school

Step-by-step explanation:

3/5*2610=1566 boys

2610-1566-1044 girls

it should be 1044 because

3/5=.6 or 60%boys and 40% girls

2610 * 60% or .6 = 1566 boys

2610 - 1566boys = 1044 girls

or

2610 * 40% or .4 = 1044 girls

so there are 1044 girls at the school

Yosef is trying to determine whether or not he drinks enough water each day today on average he drank 2/5 of a glass of water every hour for 10 hours, to determine how much water he had he set up the equation 2/5 x 10 =? What is the total amount of water yosef drak

Answers

Answer:

4 glasses

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Suppose you are working with a data set that is normally distributed, with a mean of 350 and a standard deviation of 48. Determine the value of x from the following information.

a. 70% of the values are greater than x.
b. x is less than 10% of the values.
c. 24% of the values are less than x.
d. x is greater than 60% of the values.

Answers

Answer:

324.848

288.464

316.112

337.856

Step-by-step explanation:

Given that :

Mean (m) = 350

Standard deviation (σ) = 48

Determine the value of x for the following :

Using the z probability calculator :

a.) 70% of the values are greater than x.

1 - 0.7 = 0.3

P(x < 30%) = P(x < 0.3) = - 0.524 = z

Z = (x - m) / σ

x = (z * σ) + m

X = (- 0.524 * 48) + 350 = 324.848

b.) x is less than 10% of the values.

P(x < 0.1) = - 1.282 = z

X = (- 1.282 * 48) + 350 = 288.464

C.) 24% of the values are less than x

P(x < 0.24) = - 0.706 = z

X = (- 0.706 * 48) + 350 = 316.112

D.) x is greater than 60% of the values

P(x > 0.6) = -0.253 = z

X = (- 0.253 * 48) + 350 = 337.856

Find the dimensions of the rectangular box with largest volume if the total surface area is given as 4 cm2. (Let x, y, and z be the dimensions of the rectangular box).

Answers

Dimensions of the rectangular box with largest volume if the total surface area is given as 4 cm² : (√2/3 , √2/3 ,√2/3)

Given, rectangular box with largest volume.

Let f(x , y , z) = xyz

Ф ≡ xy + yz + xz - 2  = 0

[tex]F =[/tex] [tex]f + \lambda[/tex][tex]\phi[/tex]

[tex]F = xyz + \lambda (xy + yz + xz - 2)[/tex]

[tex]F_x = 0\\yz + \lambda(y + z) = 0......1\\\\F_y = 0\\xz + \lambda(x+z)= 0......2\\\\F_z = 0\\xy + \lambda(x + y) = 0..........3[/tex]

xy + yz + xz - 2 = 0........4

Solving the above 4 equations,

[tex]yz + \lambda(y + z) = 0\\\lambda = -yz/(y+z)\\\\xz + \lambda(x + z) = 0\\\lambda = -xz / (x+z)[/tex]

Evaluating the lambda values,

x = y

Similarly, y = z

Therefore, x² + x² + x² - 2 = 0

x = √2/3

y = √2/3

z = √2/3

Hence, Dimensions : (x , y , z) = (√2/3 , √2/3 ,√2/3)

Know more about rectangle,

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A pair of $72 sneakers is marked with a sign "$20 OFF or 20% OFF.
The $20 on final price is ________
The 20% Off final price is ________
Which deal will give you the cheaper final price? ​

Answers

Answer:

$52

$57.6

Step-by-step explanation:

$20 off $72 is equal to 72-20=$52

20% of $72 is $14.4 which will then lead to 72-14.4=$57.6

can somebody please help me with this quesiotion

Answers

Answer:

-3

Step-by-step explanation:

sense its between -2 and -4

*question

i have a test and only have an hour please hurry!



90 / 3* (9 +6)=?

Answers

90/3=30 30*(15)=450 450 is your answer.

Answer:

450

Step-by-step explanation:

9+6= 15

90/3= 30

30*15=450

What does reflecting over each axis do to a function algebra 2

Answers

Gggggghhhhhbhhjnjjnjjjjjjjjjjjjjkk

I’ll mark brainliest tysm

Answers

-13    EX:  2(-4) - 5 = -8 -5 = -13

-7      

-1

1

3

THESE ARE THE ANSWERS

Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725 ?Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725 ?

Answers

The correct and complete question is shown below;

The random variable X denotes the GMAT scores of MBA students who were accepted to top MBA programs in Fall 2012. Assume that is normally distributed with a mean [tex]\mu_x[/tex] = 675 and a standard deviation [tex]\sigma_x = 30[/tex]

Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725?

Answer:

The probability that the student's GMAT score is higher than 725 = 0.3928

Step-by-step explanation:

From the given information:

Let X be the random variable that follows a normal distribution;

Then;

[tex]X \sim N( \mu_x = 675, \sigma_x = 30)[/tex]

To objective is to determine the probability that [tex]P(X > 725 | X > 710)[/tex]

[tex]P(X > 725 | X > 710)= \dfrac{P(X > 725 \cap X > 710 )}{P(X > 725)}[/tex]

[tex]\dfrac{P(X > 725 )}{P(X > 710)}=\dfrac{1 - P(X < 725) }{1- P(X < 710)}[/tex]

By using the EXCEL FORMULA:  [tex]"= NORMDIST(x, \mu_x , \sigma_x , 1)"[/tex]

P(X< 725) = [tex]" = NORMDIST(725,675,30,1)"[/tex]

P(X< 725) = 0.9522

P(X< 710) = [tex]" = NORMDIST(710,675,30,1)"[/tex]

P(X< 710) =0.8783

[tex]P(X > 725 | X > 710)=\dfrac{1 - 0.9522}{1- 0.8783}[/tex]

[tex]P(X > 725 | X > 710)=\dfrac{0.0478}{0.1217}[/tex]

[tex]P(X > 725 | X > 710)=0.3928[/tex]

Help me please is the math

Answers

Answer:

2nd) which is 4 multiplied by 5 multiplied by 2

A regression equation for this line is y = -0.42x + 19.26 a. What do the slope and y-intercept indicate? The slope indicates that the percent in 1985 should have been about 19%. The y-intercept indicates that the percent is falling at about 0.4% each year. b. The slope indicates that the percent is falling at about 0.4% each year. The y-intercept indicates the percent in 1985 should have been about 19%. The slope indicates tha the percent has remained the same for each year. The y-intercept indicates the percent in 1985 should have been 22%. d. There is not enough information to determine what the slope and y-intercept indicate.​

Answers

Answer:

B.The slope indicates that the percent is falling at about 0.4% each year. The y-intercept indicates the percent in 1985 should have been about 19%.

Step-by-step explanation:

A regression equation is it this form:

Y' = b0 + b1X

I am going to identify the slope and intercept in this equation to help us go further in our solution.

b1X is the slope. The slope usually has an x value multiplied to it

b0 is the intercept.

Back to our question, the equation in this question is

Y = -0.42X + 19.26

The slope is -0.42X.

The y intercept is 19.26

The slope has a negative sign, this shows us that the percentage is falling by about 0.4% every year while an intercept of 19.26 tells us that percentage in 1985 should have been about 19%.

I hope you found my solution useful?

Suppose the time it takes a certain printer to print a document is an Exponential random variable with an average time of 15 seconds. You send a document to the printer at 1:00pm, and it is the third document in the queue. What is the probability that your printout will be ready by 1:01pm

Answers

Answer:

0.8046

Step-by-step explanation:

We're asked to calculate the probability that the job will be ready by 1.01 pm

From the question, we can note that the parameter of an Exponential is E(X)= 15

Next, to calculate the third job probability, we will have to use Poisson Distribution with parameter 1/λ

Therefore, E(Y) = 1/15

Then, The third job will be ready for 1:01 pm, and thus E(Y) = 61/15

Therefore, the required probability is

P(X ≥ 3) = 1 - P(X < 3)

= 1 - Poisson(3,4, true)

= 1 - 0.1954

= 0.8046

1
Five friends went to the movies and each spent $5 on a ticket per movie and $2 on a bag of popcorn. They saw 2 movies. The movies also had a deal of pizza and a large bottle of soda for $12, which they split. How much did each friend pay for the movie trip and pizza?

Answers

Answer:

5+2 + 12/5 = $9.40

Step-by-step explanation:

24 I think or 22 I think that bc if you add it that’s what I got.

an airplane is change in alitude before landing is shown in the table

Answers

Answer:

wheres the table can you please provide one

Step-by-step explanation:

AnswerA= -4,000m

Step-by-step explanation:

1    35,000

2   31,000

3   27,000

4   23,000

Youre subtracting 4,000 everytime.

The figure shows the letter W and four of its transformed images—A, B, C, and D:


Which of the four images was formed by a reflection of the letter W?

A
B
C
D

Answers

I think it is c because the reflection makes more sense than A or B and D is incorrect because it’s a rotation/translation.

Answer:

The answer is c

Step-by-step explanation:

Beacuse when u the shape is transfrromed that what u get

Suppose an internet marketing company wants to determine the current percentage of customers who click on ads on their smartphones. How many customers should the company survey in order to be 90% confident that the estimated proportion is within five percentage points of the true population proportion of customers who click on ads on their smartphones

Answers

Answer:

The value is  [tex]n =271[/tex]  

Step-by-step explanation:

From the question we are told that

  The margin of error is  [tex]E = 5\% = 0.05[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

Generally we will assume that the sample proportion is [tex]\^ p = 0.5[/tex] since we have no information on the proportion of  of customers who click on ads on their smartphones

Generally the sample size is mathematically represented as

      [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>    [tex]n = [\frac{1.645 }}{0.05} ]^2 * 0.5 (1 - 0.5 ) [/tex]

=>    [tex]n =271[/tex]    

Using the z-distribution, as we are working with a proportion, it is found that 271 customers should be sampled.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem:

90% confidence level, hence the critical value is z = 1.645.No prior estimate, hence p = 0.5.Within five percentage points, hence M = 0.05.

Then:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.05\sqrt{n} = 0.5 \times 1.645[/tex]

[tex]\sqrt{n} = [10(1.645)][/tex]

[tex](\sqrt{n})^2 = [10(1.645)]^2[/tex]

[tex]n = 270.6[/tex]

Rounding up, 271 customers should be sampled.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Maggie makes blankets to sell. The table shows Maggie’s expense, f(x), her revenue, g(x), and her profit, h(x), per unit of yarn used, x.


Which expresses h(x) as a combined function?

h(x) =

x + f(x)
(f+g)(x)
(f-g)(x)
(g-f)(x)

Answers

Answer:

(g-f)(x)

Step-by-step explanation:

You have to subtract expenses from revenue and multiply by yarn to equal profit

I NEED HELP REALLY REALLY FAST

Answers

Answer:

360

Step-by-step explanation:

360 because you multiply the height times the width and you get your answer hopefully this helps you

Lilliana is training for a marathon. She runs the same distance every day for a week on Monday,
Wednesday, and Friday, she runs 2 laps on a running trail and then runs 6 more miles. On Tuesday and
Sunday, she runs 4 laps on the trail and then runs 2 more miles. On Saturday, she just runs laps. How
many laps does Lilliana run on Saturday?

Answers

Answer: 6 miles

Step-by-step explanation:

WEDNESDAY + FRIDAY (# OF MILES)

The Miles Covered by Each Lap = 3x

The Miles on Top of That = 6

TUESDAY + SUNDAY (# OF MILES)

The Miles Covered by Each Lap = 5x

The Miles on Top of That = 2

You want to now put that into an equation! Therefore, you want to put the number of miles from Wednesday and Friday on one side and the number of miles from Tuesday and Sunday on the opposite side.

SOLVING EQUATION FOR MILES PER LAP

Step 1) 3x + 6 = 5x + 2

given equation from what we put together.

Step 2) -3x + 3x + 6 = 5x + 2 -3x

subtract 3x from both sides.

Step 3) -2 + 2x + 2 = 6 -2

subtract 2 from both sides.

Step 4) 2 × x = 4

divide both sides by 2 because you want to put the variable (x) on one side.

Step 5) x = 2 miles for each lap

Now you want to go look back at the equation and plug in 2 for the variable x.

Step 6) 5 ×2 + 2 = 12

PEMDAS!

Step 7) 12 ÷ 2 = 6

SHE RUNS 2 MILES ON SATURDAYS!

What is the slope-intercept form of 3x + 5y = -15?​

Answers

3x+5y=1 in slope-intercept form is y=−35x+15 .

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