Mathematics College

A cake has circumference of 25 1/7inches. What is the area of the cake? Use 22/7 to approximate π. Round to the nearest hundredth. Enter your answer in the box.

Answers

Answer 1
we know that
area of the circle=pi*r²

circumference==2*pi*r----------> r=circumference/(2*pi)
circumference=25 1/7 in----> (25*7+1)/7----> 176/7 in
r=(176/7)/(2*22/7)----> r=176/44----> r=4 in

area of the circle is equal to the area of the cake
area=pi*r²---> (22/7)*4²-----> area=50.29 in²

the answer is
50.29 in²
Answer 2

Final answer:

To find the area of a cake given its circumference, calculate the radius and plug it into the area formula A = πr². Finally, round to the nearest hundredth to get the area value.

Explanation:

To find the area of a circle, you use the formula A = πr², where r is the radius of the circle. Given the circumference of the cake is 25 1/7 inches, we can calculate the radius as r = Circumference / (2π) = 25 1/7 / (2 x 22/7) = 25 1/7 / (44/7) = 25 1/7 / 6.2857 ≈ 3.99 inches.

Now, substitute the radius into the area formula: A = 3.14 x (3.99)² ≈ 50.03 square inches. Therefore, the area of the cake is approximately 50.03 square inches.

Related Questions

Important!

For what values of x and y are the triangles congruent?

Answers

Answers:
x = 7
y = 4

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

Explanation:

Focus on the hypotenuse of each triangle. If the triangles are congruent, then surely the corresponding hypotenuses are congruent as well

This means,
BC = ED
6y-8 = 2y+8
6y-2y = 8+8
4y = 16
y = 16/4
y = 4

If y = 4, then 
AC = 5x-5y = 5x-5*4 = 5x-20
and
EF = 2y+7 = 2*4+7 = 8+7 = 15

Similar to how the hypotenuses are congruent, the two bottom legs are corresponding and congruent as well.
AC = EF
5x-20 = 15
5x = 15+20
5x = 35
x = 35/5
x = 7

If these are similar triangles, then all sides are proportional to the other triangle.

label it h/a = h/a

h = hypotenuse
a = adjacent leg

6y-8/5x-5y = 2y+8/2y+7

6y-8 * 2y+7 = 2y+8 * 5x-5y
12y^2 + 26y - 56 = 10xy + 40x - 10y^2 - 40y
22y^2 + 66y - 10xy - 40x -56 = 0

solve for the values of x and y
x = 7
y = 4

which expression is the best estimate of the product of 7/8 and 8 1/10

Answers

An expression to estimate the product of 7/8 and 8 1/10 would be 1 x 8

This is because 7/8 can round to 1 while 8 1/10 can round to 8. 

Answer:

1 x 8

Step-by-step explanation:

7/8 rounded up equals 1 whole. 8 1/10 rounded makes 8.

A ship is sailing east. at one​ point, the bearing of a submerged rock is 44 degrees 20 prime44°20′. after the ship has sailed 15.715.7 ​mi, the bearing of the rock has become 308 degrees 40 prime308°40′. find the distance of the ship from the rock at the latter point.

Answers

Let A be the position of the ship at which the rock is found at B, after travelling 15.7 miles the ship reaches point C, thus ABC forms a triangle that has the dimensions of
AC=15.7
and
∠x=BAC=90-44°20'=45°40'
∠y=∠BCA=360-270=90
∠ABC=180-∠x-∠y=44°20'
therefore using sine law 
BC/sin (44°40')=15.7/sin (45°20')
⇒BC=15.5184 miles

what is the answer of 10a2b + ab2 – 10ab + 3a2b + 4ab – 7ab2

Answers

combine like terms

10a-10a+3a = 3a
2b+2b + 4b
ab2-10ab+4ab-7ab2 = - 18ab

answer: 3a + 4b + 18ab
[tex]10a^2b + ab^2 - 10ab + 3a^2b + 4ab - 7ab^2 [/tex]

Combine like terms:
[tex]= 13a^2b - 6ab - 6ab^2 [/tex]

Take out common factor ab:
[tex]= ab(13a - 6 - 6b) [/tex]

hey can you please help me posted picture of question

Answers

To solve this problem you must apply the proccedure shown below:

 1. You have the following expression:

 (3+3i)-(13+15i)

 2. If you want to substract both terms, you  need to substract the real numbers and the complex numbers. Then, you obtain:

 3+3i-13-15i
 (3-13)+(3i-15i)

 3. Then, you obtain the following result:

 -10-12i

 4. Therefore, as you can see, the correct answer is the last option (option D), which is:
 D. -10-12i

The diagram below shows the radius of the circular opening of a drinking cup. which of the following is the closest to the circumference of the opening in cm

Answers

Answer:

Its a 12

Step-by-step explanation:

A certain kind of animal weighs about 75 pounds at birth and gains about 2 pounds per day for the first few weeks. Determine those days for which the​ animal's weight is more than 125 pounds.
The​ animal's weight is more than 125 pounds when the animal is more than
........... days old.

Answers

Answer:

25

Step-by-step explanation:

Let w represent the weight of the animal in pounds, and d the age in days. The problem statement tells us ...

... w = 75 +2d

We want to find d when w > 125.

... 75 +2d > 125 . . . . . substitute the above expression for w

... 2d > 50 . . . . . . . . . subtract 75

... d > 25 . . . . . . . . . . . divide by 2

The animal will weigh more than 125 pounds when it is more than 25 days old.

your total savings varies inversely with the amount spent on Bill's. if your savings is $300 when your cost of Bill's are $65. What would your savings be when your cost of Bills is $145.

Answers

Let S and B be savings and bills respectively. Then,
S α 1/B
S = k/B Where k = Constant.
When S = $300, B = 65

Then,
300 = k/65
k = 300*65 = 19500

Therefore,
For B = $145,

S= 19500/145 = $134.48

IMPORTANT HELP HURRY

Andrew is two years older than Beatrice, and Chris is three years younger than Beatrice. The product of Andrew's age and Chris' age is 66. How old is Beatrice? (1 point) Extra Content
HINT: Look at the Answers
A. A b2 − b − 72 = 0; 8 years old
B. B b2 − b − 72 = 0; 9 years old
C. C b2 − b − 72 = 0; 10 years’ old
D. D b2 − b − 72 = 0; 11 years’ old

Answers

Let Bea = x
Therefore Andrew = x + 2
Chris = x - 3

Andrew * Chris = 66
(x + 2)(x - 3) = 66 Remove the brackets.
x^2 + 2x  - 3x - 6 = 66
x^2 - x - 6 = 66 Subtract 66 from both sides.
x^2 - x - 72 = 0
(x - 9)(x + 8) = 0
Find the possible values of Bea's age

x - 9 = 0
x = 9 That value works. She can be plus 9 years old.

x + 8 = 0
x = - 8. There's no way she can be - 8 years old
  
So Bea is 9. 
9 <<<<<< Answer

A ball is thrown into the air with an upward velocity of 32 ft/s. Its height h in feet after t seconds is given by the function h = –16t2 + 32t + 6. a. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. b. What is the ball’s maximum height?

Answers

if you graph it you can see what the max height is

but how do you show it 

well do you know what a derivative is?
h=-32t + 32 + 0

t= 1

then plug into h(1)= -16(1)^2 + 32(1)+ 6
max height is 22

if you dont, then i will have to solve another way

a) It will reach the maximum in 1 second;

b) the maximum height is 22 feet.

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We find the maximum by finding the vertex.  

We first find the axis of symmetry, whose equation is,

x = -b/2a

x = -32/2(-16)

x = -32/-32

x = 1

This gives us that it reaches the maximum in 1 second.

And, To find the y-coordinate, the maximum height, we substitute this into the equation:

h(1) = -16(1²)+32(1)+6

h(1) = -16+32+6 = 22

Hence, It reaches a height of 22 feet.

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A bucket contains 3 red balls, 4 yellow balls, and 5 purple balls. one ball is taken from the bucket and is not replaced. another ball is taken from the bucket. what is the probability that the first ball is red and the second ball is purple?

Answers

The probabilities are 0.25 and 0.454.

Probability

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Given

A bucket contains 3 red balls, 4 yellow balls, and 5 purple balls.

To find

The probability that the first ball is red and the second ball is purple.

How to find the probability that the first ball is red and the second ball is purple?

We know the formula

[tex]\rm Probability = \dfrac{favorable\ events}{total\ events}[/tex]

For the first ball is red, then

Total event = 12

Favorable event = 3

[tex]\rm Probability = \dfrac{favorable\ events}{total\ events}\\\\\rm Probability = \dfrac{3}{12}\\\\\rm Probability = 0.25[/tex]

For the second ball is purple, then

one ball is taken from the bucket and is not replaced

Total event = 11

Favorable event = 5

[tex]\rm Probability = \dfrac{favorable\ events}{total\ events}\\\\\rm Probability = \dfrac{5}{11}\\\\\rm Probability = 0.454[/tex]

Thus the probabilities are 0.25 and 0.454.

More about the probability link is given below.

https://brainly.com/question/795909

Final answer:

The probability that the first ball drawn is red and the second ball drawn is purple, in a situation where the drawn ball is not replaced, is 5/44.

Explanation:

In this probability question, we are dealing with a situation where sampling occurs without replacement, meaning, the first ball drawn is not put back into the bucket before the second ball is drawn. This impacts the probability of the outcomes.

There are 3 red balls, 4 yellow balls, and 5 purple balls in the bucket, making a total of 12 balls. The probability of drawing a red ball first is the number of red balls divided by the total number of balls, so P(Red1) = 3/12 = 1/4.

After taking out a red ball, there are now 11 balls left. The probability of drawing a purple ball next is the number of purple balls divided by the new total number of balls. So, P(Purple2 | Red1) = 5/11.

The question asks for the probability that the first ball is red and the second ball is purple. In probability theory, the probability of two independent events happening is computed by multiplying the probability of the first event by the probability of the second event given that the first one has occurred. So, the answer is P(Red1 and Purple2) = P(Red1) * P(Purple2 | Red1) = 1/4 * 5/11 = 5/44.

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WILL MARK BRAINLEST HELP FASTTT

Answers

19. A.The first Quadrant 
B.The fourth Quadrant and the coordinates are (5,-3)
C. The third Quadrant and the coordinates are (-5,-3)

20. Yes, it is! It has a curve that will allow the plane to navigate and to fly by allowing air to push up on it. 

21. 1st quadrant +x +y

 : 2nd qudrant -x +y

: 3rd quadrant -x -y

: 4th quadrant +x -y

How many ways can you choose one insect from a collection of 5 butterflies and 11 ants? (b) how many ways can you choose one flower from a garden of two roses, six lilies, and eight birds of paradise? (c) how many ways can you choose two pieces of fruit from a bowl containing one persimmon and four mangoes?

Answers

(A) You can choose 1 from 16 in 16 ways.

(B) You can choose 1 from 16 in 16 ways.

(C) You can choose 2 from 5 in 5!/(2!*(5-2)!) = (5*4)/(2*1) = 10 ways.

Seven of the 10 children at Art can't make an average of 8 paintings. The remaining children make an average of 12 paintings. What is the average number of paintings made by children that are Camp. Enter your answer in the Box

Answers

Total number paintings made by category of 7 children = 7*8 = 56
Total number of paintings made by the remaining = 3*12 = 36

Total number of  paintings = 56+36= 92 paintings

Average number of paintings by all the children = 92/10 = 9.2 ≈ 9 paintings

Kalinda is 68.7 inches tall and wants to know how many inches taller she is than Terrence. If t represents Terrence’s height in inches, which expression can she use to find the answer.

Answers

68.7 - t is your expression.
We need to find out the difference between their heights.
Difference means we subtract.
Since she is taller, we are subtracting her height by t. So the answer is 68.7 - t

It would be 68.7 - t

The cost of producing transistors decreases by 20% every year. If it currently costs $440 to produce a billion transistors, how much will it cost to produce a billion transistors in 7 years? If necessary, round your answer to the nearest cent.

Answers

The applicable explicit formula for this scenario is:

C(n) = 440(1-0.2)^n, where C(n) = cost of production of billion transistors in year n.

In short,
C(n) = 440(0.8)^n

In seven years, n = 7 and therefore cost of production of billion transistors is,
C(n) = 440(0.8)^7 = $92.27
To estimate the cost of production after 7 years we use the exponential function given by:
y=ab^x
where:
y= cost after time x
a=initial cost
b=growth factor
thus plugging in the values in the expression we get:
y=440(0.80)^x
hence
when x=7, then:
y=440(0.8)^7
y=$92.275
y~$92.30

1.
Find the annual percentage rate, using the annual percentage rate table.
Amount Financed: $2,650

Finance Charge: $484.69

Number of Payments: 36

Answers

Amount Financed: $2,650
Finance Charge: $484.69
Number of Payments: 36

(Finance Charge)/(Amount Financed)*100$=($484.69)/($2,650)*100$
(Finance Charge)/(Amount Financed)*100$=(0.1829)*100$
(Finance Charge)/(Amount Financed)*100$=$18.29

In the row of number of Payments 36, we look for:
(Finance Charge)/(Amount Financed)*100$=$18.29, and we see to which annual porcentage rate it corresponds in the first row

Answer: 11.25%

You purchased a share of stock for $30. one year later you received $1.50 as a dividend and sold the share for $32.25. what was your holding-period return?

Answers

You received $1.50 +32.25 = $33.75 for your $30 investment. Your return was
  (33.75/30.00 -1)*100% = 12.5%

To calculate the holding-period return, add the dividend, selling price, and initial investment, then divide by the initial investment. In this case, the holding-period return is 12.5%.

Holding-Period Return Calculation:

Initial investment: $30

Dividend received: $1.50

Selling price: $32.25

Holding-Period Return = (Dividends + Selling Price - Initial Investment) / Initial Investment

Substitute the values: ($1.50 + $32.25 - $30) / $30 = $3.75 / $30 = 0.125 or 12.5%

PLZ HELP ASAP FEATURES OF A CIRLE FROM EXPANDED EQUATION

Answers

First we need to convert the given equation to standard form, only then we can find the center and radius of the circle.

[tex] x^{2} + y^{2} +18x+14y+105=0 \\ \\ x^{2} +18x+ y^{2}+14y=-105 \\ \\ x^{2} +2(x)(9)+ y^{2}+2(y)(7)=-105 \\ \\ x^{2} +2(x)(9)+ 9^{2} + [y^{2}+2(y)(7)+7^{2}] =-105+9^{2}+7^{2} \\ \\ (x+9)^{2}+ (y+7)^{2}=25 [/tex]

The standard equation of circle is:

[tex](x-a)^{2} + (y-b)^{2}= r^{2} [/tex]

with center (a,b) and radius = r

Comparing our equation to above equation, we can write

Center of circle is (-9, -7) and radius of the given circle is 5 

kelly ate 5/8of a pizza,lilly ate 2/6 of a pizza,ray ate 8/11 of a pizza,and marlin ate 2/5 of a pizza.which girl ate the least amount of pizza?

Answers

5/8, 2/6, 8/11, 2/5
Convert them into decimals.

5/8 ⇒ 0.625
2/6 ⇒ 0.333
8/11 ⇒ 0.727
2/5 ⇒ 0.4

The lowest amount is 0.333, or 2/6.

Lilly ate 2/6 of a pizza.
Lilly ate the least amount of pizza.

Heather made a total of $451.78 last month at her part-time job. If she worked 14 hours, how much did she make per hour?

Answers

The amount of money divided by the amount of hours will give you how much money she makes per hour.

451.78/14=32.27.

She earned $32.27 per hour.
Final answer:

Heather made $32.27 per hour at her part-time job.

Explanation:

To find out how much Heather made per hour at her part-time job, we need to divide her total earnings by the number of hours she worked. Heather made a total of $451.78 and worked 14 hours, so we can calculate her hourly rate by dividing $451.78 by 14.

$451.78 / 14 = $32.27 per hour

Therefore, Heather made $32.27 per hour at her part-time job.

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What is the probability that the wine cooler would be less than 45 degrees?

Answers

The probability of yo mama

What is the volume of a ball if its diameter is 6 inches? Leave your answer in terms of π. A) V = 12 π cubic inches Eliminate B) V = 36 π cubic inches C) V = 288 π cubic inches D) V = 27.75 π cubic inches

Answers

4/3 * (3.14)(r)^3
4/3 * (3.14)(3)^3 = 36 pi answer is B

Answer:

V = 36 π cubic inches

Step-by-step explanation:

Test

To win at lotto in one​ state, one must correctly select 5 numbers from a collection of 58 numbers​ (1 through 58​). the order in which the selection is made does not matter. how many different selections are​ possible?

Answers

The number of possible selections is
  C(58, 5) = 58!/(5!*53!) = 4,582,116

The Community center for Watercrest has a large glass wall that looks out the lake Find The Area For the glass wall

Answers

The wall has a shape of trapezium, the area will therefore be given by:
A=1/2(a+b)*h
where a and b are the side length, h is height:
a=25, b=15, h=40
thus the area of the wall will be:
A=1/2(25+15)×40
A=1/2×40×40
A=800 ft²
Answer: Area=800 ft²

Ben purchased a 2 liter bottle of soda.

Which of these is equal to 2 liters?
A) 1,000 dl
B) 1,000 ml
C) 2,000 dl
D) 2,000 ml

Answers

The answer to the above question can be explained as under -

Here, we need to convert large units into smaller units of same class i.e. to convert liters into milliliters.

We know that,

1 liter = 1000 milliliters

So, 2 liter of soda will have -

2 X 1 liter = 2 X 1000 milliliters

2 liters of Soda = 2,000 milliliters

Thus, the correct option will be = D) 2,000 ml

The simple linear regression model is yiequalsbeta0plusbeta1xiplusepsiloni. for what does yi​ stand? choose the correct answer below.
a. it is the slope of the population regression line.
b. it is the residual of the ith observation in the population.
c. it is the observed value of the response variable for the ith observation in the population.
d. it is the value of the explanatory variable for the ith observation in the population.
e. it is the​ y-intercept of the population regression line.

Answers

We are looking at the [tex]y_{i} = \beta_{0} + \beta_{1} * x_{i} + e [/tex], where [tex]y_{i} [/tex] is an explained, dependent variable and it is the value of explanatory variable for the ith observation in population. So that, the correct answer is D.

In the simple linear regression model, y[tex]_i[/tex] represents the observed value of the response variable for the [tex]i_{th}[/tex] observation. Therefore, the correct answer is option c.

The simple linear regression model is expressed as y[tex]_i[/tex] = β₀ + β₁x[tex]_i[/tex] + ε[tex]_i[/tex]. In this equation, y[tex]_i[/tex] stands for the observed value of the response variable  for the i[tex]_{th}[/tex] observation in the population.

The equation y[tex]_i[/tex] = β₀ + β₁x[tex]_i[/tex] + ε[tex]_i[/tex] is used to model the relationship between a single explanatory variable and the response variable.

In this equation, y[tex]_i[/tex] denotes the observed value of the response variable.

The key components include β0 (y-intercept), β1 (slope), xi (explanatory variable), and εi (error term).

So, option c. it is the observed value of the response variable for the i[tex]_{th}[/tex] observation in the population, is the correct answer.

FInd the volume of the cylinder in terms of Pi.

Answers

The formula for the area of a cylinder is [tex]\pi[/tex][tex]r^{2}[/tex]×h

First, we do not have to worry about pi because we are leaving our answer in terms of it so we can move on to the radius squared.

The radius is halfway across a circle so our radius would be 4 and we have to square that and we will get a product of 16.

Lastly, we have to multiply 16 by 8 because 8 is the height of the cylinder

16 × 8 = 128

Therefore, the volume of the cylinder would be 128[tex]\pi[/tex] in.³

Please help with question, thanks

Answers

The volume of a cone can be expressed as:

[tex]V = \frac{1}{3} \pi r^{2}h \\ \\ h=20 \\ \\ so, \\ \\ V= \frac{1}{3} \pi r^{2}*20 \\ \\ \frac{3V}{20 \pi }= r^{2} \\ \\ r= \sqrt{ \frac{3V}{20 \pi }} [/tex]

Thus, 2nd option gives the correct answer

A thin layer of paint is 7x10^-7 m thick. In​ contrast, a coin is 3.43 x 10^-3 m thick. How many layers of paint are in a stack that is the height of the​ coin?

Answers

There's 4 layers of paint cause you should just add 4 to 3.43 and you get 7.43 x 10^-7..?
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