Question 3 (10 points)
(05.04 MO
Circle A has a diameter of 8 inches, a circumference of 25.12 inches, and an area of 50.24 square inches. The diameter of circle B
is 3 inches, the circumference is 9.42 inches, and the area is 7.065 square inches.
Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)
Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)
Part C: What observation can you make about the value of pi for circles A and B? (2 points)

Answers

Answer 1

Step-by-step explanation:

Part A

Circumference formula:

C = 2πr = πd

Find π:

25.12 = 8π ⇒  π = 25.12/8 ⇒ π = 3.149.42 = 3π ⇒ π = 9.42/3 ⇒ π = 3.14Part B

Area formula:

A = πr² = πd²/4

Find π:

50.24 = π*8²/4 ⇒ 50.24 = 16π ⇒ π = 50.24/16 ⇒ π = 3.147.065 = π*3²/4 ⇒ 7.065 = 9π/4 ⇒ π = 4*7.065/9 ⇒ π = 3.14Part CThe value of π is same - 3.14 from each case we have

Related Questions

A motel rents double rooms at $34 per day and single rooms at $26 per day. If 27 rooms were rented one day for a total of $846, how many rooms of each kind were rented
single rooms
double rooms

Answers

Answer:

double roooms

Step-by-step explanation:

it is double rooms thank me later

Answer: 18 double rooms; 9 single rooms

Explanation:
Double+Single rooms= 27 rented rooms
x+y=27

$34 per day X amount of double rooms, $26 per day Y amount of single rooms= $846
34x+26y=846

Express Y in X terms
34x+26(27-x)=846
34x+702-26x=846
8x=144
x=18

Plug the value of x=18 in the original equation
18+y=27
y=27-18
y=9



Please give me a written and explained answer for branliest

Answers

Answer:

TU = 15

Step-by-step explanation:

The two rectangles are similar. That means that the lengths of  corresponding sides are in the same ratio.

Pairs of corresponding sides:

MN, ST

NO, TU

OP, UV

PM, VS

Equal ratios of lengths of corresponding sides:

MN/ST = NO/TU = OP/UV = PM/VS

Plug in the given information:

MN/ST = 10/x = 4/6 = PM/VS

10/x = 4/6

4x = 10 × 6

4x = 60

x = 15

TU = 15

HELP!!! The graph shows the relationship between the distance that a snail crawls and the time that it crawls. What numbers will correctly complete the table below?​

Answers

Answer:

its c because i took the quiz

Step-by-step explanation:

I took the quiz

PLEASE HELP
ILL MARK AS BRAIN LEIST!

Answers

Answer:

C. 707 cm^2

Step-by-step explanation:


Find the scale factor for of the dilation shown.

A. 1/2
B. 3/2
C. 2
D. 2/3


NEED THIS BEFORE MIDNIGHT!! HELP ME PLEASE. THANKS!!!

Answers

The answer is B (3/2).
Start by doing 6/4 to get 3/2.
It also works with 9/6 to get 3/2
Do what you want/What you started with.
Test it by multiplying 4 by 3/2 to get 6. It works!
Since it is a scale factor both sides grow by the same ratio. This is what we did above.

Leni opened a savings account that pays 0.8% interest, compounded quarterly. Her initial deposit was $50. How long would she have to leave the money in the account for it to double?

Answers

The number of years it would take the money to double is 86.6 years.

What is the time it would take the deposit to double in value?

Number of years =  (In fv / pv) / r

Where:

FV = future valuePV = present valuer = interest rateFV / PV = 2

IN 2 / 0.008 = 86.6 years

To learn more about how to determine the number of years, please check: https://brainly.com/question/21841217

What’s the correct answer for this?

Answers

Answer:

6 pounds and 15 ounces

Step-by-step explanation

1 pound is equal to 16 ounces. Divide 111 by 16 to get 6 remainder 15

What is the range of {(1,3) (4,3) (6,2))?​

Answers

Answer:

5

Step-by-step explanation:

Minus the biggest number with the smallest number

This was an exceptionally dry year for portions of the southwestern United States. Monthly precipitation in Phoenix, Arizona, was recorded in the table and is modeled by y = –0.04088x2 + 0.4485x + 1.862.

In what month did Phoenix receive the highest amount of precipitation?


Month (x)

Precipitation

January

2.27 inches

February

?

March

?

April

?

May

?

June

?

July

?

August

?

September

2.59 inches

October

?

November

?

December

?



Sketch a graph or fill in the table to answer the question.
April
May
June
July

Answers

Using the vertex of a quadratic function, it is found that Phoenix received the highest amount of precipitation on the month of May.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.

In this problem, the precipitation each month x in Phoenix is given by:

[tex]y = -0.04088x^2 + 0.4485x + 1.862[/tex]

Hence the coefficients are a = -0.04088, b = 0.4485, c = 1.862, and the month for which the precipitation will be highest is given by:

[tex]x_v = -\frac{0.4485}{2(-0.04088)} = 5.48[/tex]

Hence during the month of May.

More can be learned about the vertex of a quadratic function at https://brainly.com/question/24737967

Cisca, 12 years old, is three times as old as Catherine. How old will she be when she's twice as old as Catherine?​

Answers

Step-by-step explanation:

Divide 12 by 3 to determine Catherine's age.

[tex]12 \div 3 = 4[/tex]

Catherine is 4 years old when Cisca is 12 years old.

Let's identify when Cisca will be twice as old as Catherine by representing the ages per future years.

Year 1: 13, 5

Year 2: 14, 6

Year 3: 15, 7

Year 4: 16, 8

Year 5: 17, 9

Year 6: 18, 10

In 4 years, Cisca will be twice as old as Catherine.

Her age is 16.

She would be 4 years

Calculation of age

Age of Catherine = X

Age of Cisca = 12yrs = 3x

Therefore X = 12/3= 4 years.

Actual age of Catherine = 4 years.

Twice ( 2x) age of Catherine = 2×4= 8

Therefore, she will be 4 years to be twice as old as Catherine

Learn more about age here:

https://brainly.com/question/26423521

Need help asap giving brainliest PLSSS

Answers

Answer:

2144 in^3

Step-by-step explanation:

[tex]\frac{4}{3}\pi r^3 > \frac{4}{3}\* *\pi * 8^3 > 2144.660[/tex]

If P(E) = 0.32, then what are the odds against E?

Answers

Answer:

0.68 : 0.32

Step-by-step explanation:

the probability of all the outcomes of an event is always 1 .

if P(E) = 0.32,

P(E') = 1 - 0.32

= 0.68

N.B that P(E') is the same as P( not E ).

since your answer should be given in the ratio form, as the odds against E ( probability not E : probability E),

P(E') : P(E)

0.68 : 0.32

hope this helps you!

-s.

PLEASE HELP 4 3/5+7 8/15

Answers

Answer:

Step-by-step explanation:

4 3/5 ---> 23/5

7 8/15---> 113/15

23*3/5*3=69/15

113/15+69/15=182/15---->12 2/15

Write 2,748 in Mayan numerals. Show work. Take a screen shot or picture and upload using the Insert Image link (the tree icon). I don’t know what to do

Answers

Answer:

se escribe como en la imagen

Step-by-step explanation:

On average, every minute of every day, 167 babies are born. The bar graph represents the results
of a single day of births, deaths, and population increase worldwide.
Each day, the number of births in the world is 45 thousand less than three times the number of
deaths.
a.) If the population increase in a single day is 241 thousand, determine the number of births and deaths per day.
There are____ thousand births per day
There are ____ thousand deaths per day

Answers

Answer:

Let x thousand births per day

Let y thousand deaths per day

Each day, the number of births in the world is 45 thousand less than three times the number of

deaths.

x=3y-45 (1)

Population increase= birth - death

=x-y(2)

substitute (1) into (2)

3y-45-y=241

2y-45=241

2y=196 (plus 45 from both side)

y=98 (divide 2 from both side)

x-y=241

x-98=241

x=339 ( pluse 98 from both side)

So, There are 339 thousand births per day

There are 98 thousand deaths per day

HOPE THIS HELP!!!

Wyatt invests $1200 into an account that earns 6.2% simple interest for 4 years. He does not make any other deposits or withdrawals. At the end of 4 years, Wyatt invests the entire account balance into a different account that earns 8% simple interest. He leaves the money in the account for 5 years without making any additional deposits or withdrawals. What is the new account balance at the end of 5 years? Drag and drop values into the boxes to correctly complete the statements. ​

Answers

Answer:

297.60 & 1497.60

Step-by-step explanation:

I had the question before and got it right.

Answer:

the correct answers are (1) 1497.60 and (2) 2096.64

explanation:

these were the correct answers!!

100% honest!!

b. Cai thinks of the area of the poster as the sum of the areas of the three separate sections. Write an expression that represents Cai's way of thinking. What does Cai's expression let you see about the layout that Brett's expression does not?​

Answers

On solving the provided question, we can say that Cai's thinking expression will be area of the poster k = Ax Bt +Cz => K = x² + lb + 1/2wm

What is Expression?

An expression is combination of variables, numbers and operators.

Cai's thinking expression will be.

The three sections are of different shapes which includes a square, rectangle and a triangle.

The area of square is side times of side= x²

The area of rectangle is length times of breadth (lb)

The area of triangle=1/2length times of breadth(1/2lb)

Area of the poster k = Ax+By+Cz

Ax = x²

Bx = lb

Cz = 1/2wm

K = x² + lb + 1/2wm

Hence, Cai's thinking expression will be area of the poster K = x² + lb +1/2wm

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ1

Traci collects donations for a dance marathon. One group of sponsors will donate a total of $6 for each hour she
dances. Another group of sponsors will donate $75 no matter how long she dances. What number of hours, to the
nearest minute, should Traci dance if she wants to raise at least $1,000?

Traci would have to dance at least hours and 10 minutes.

Answers

Answer:

She needs to dance about 154 hours.

Step-by-step explanation:

$1,000 minus $75 is $925.

$925 divided by $6 is about 154 hours.

name the polynomial based on its degree and number of terms. 2 - 11x^2 - 8x + 6x^2

Answers

Step-by-step explanation:

This polynomial has like terms that can further be simplified

2 - 11x^2 + 6x^2- 8x

2 - 5x^2 - 8x

multiply by negative to take 2 to the right.

-(2 - 5x^2 - 8x)

= 5x^2 + 8x - 2

It's named a Second Degree Polynomial because the highest degree(exponent) of x in the final solution is 2.

it has 3 terms : 5x^2 , 8x , 2

Determine the average yards per carry for the following running back. Round to the nearest tenth.

Vic: 93 yd., 3 yd., 6 yd.

34 yd.
102 yd.
32 yd.

Answers

Answer:

45

Step-by-step explanation:
93+3+6+34+102+32=270270/6
How to find average/mean:
Add all the numbers, then divide by the amount of numbers.

What is the surface area?
8 yd
7 yd
3 yd
square yards

Answers

The surface area is 8yards

Simplify.

(fg2)4

Can you please help me? I'm stuck on this question

Answers

Answer:

[tex]4fg^{2}[/tex]

Step-by-step explanation:

1) Remove parentheses.

[tex]fg^{2} *4[/tex]

2) Regroup terms.

[tex]4fg^{2}[/tex]

Answer:

The correct answer is...

Step-by-step explanation:

"F^4g^8" Hope this helps!

100 pts and mark brainliest
Use the quadratic formula to solve
x^2-4x+3
Show your work. Then describe the solution. if you dont describe the solution it will get reported.

Answers

Answer:

x = 3, x = 1

The points at which the curve crosses the x-axis are (3, 0) and (1, 0)

Step-by-step explanation:

Quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Quadratic equation: [tex]ax^2+bx+c[/tex]

Therefore, for   [tex]x^2-4x+3[/tex]:

a = 1   b = -4   c = 3

Inputting values into quadratic formula:

      [tex]x=\dfrac{4\pm\sqrt{(-4)^2-(4\times1\times3)} }{2\times1}[/tex]

[tex]\implies x=\dfrac{4\pm\sqrt{16-12} }{2}[/tex]

[tex]\implies x=\dfrac{4\pm\sqrt{4} }{2}[/tex]

[tex]\implies x=\dfrac{4\pm2 }{2}[/tex]

[tex]\implies x=2\pm1[/tex]

[tex]\implies x=3, x=1[/tex]

Therefore, the points at which the curve crosses the x-axis are (3, 0) and (1, 0)

[tex]\\ \tt\hookrightarrow x^2-4x+3=0[/tex]

a=1b=-4c=3

[tex]\\ \tt\hookrightarrow x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \tt\hookrightarrow x=\dfrac{4\pm \sqrt{16-12}}{2}[/tex]

[tex]\\ \tt\hookrightarrow x=\dfrac{4\pm 2}{2}[/tex]

x=6/2 or 2/2x=3 or 1

- Length of lease: 32 months
- MSRP of the car: $26,260
-Purchase value of the car after lease: $14,330
- Down payment: $1270
- Security deposit: $605
- Acquisition fee: $765
-Lease factor: 0.00073

1. What is the amount of cash due at signing?

2. What would be his monthly payments?

3. What is the total amount of money that he would spend on monthly payments

4. What is the total amount of money that he would spend on monthly payments?

5. What is the total cost of leasing the car, assuming that he does not get the security deposit back

Answers

Answer:

I'm pretty sure you would just add and subtract as needed.

Step-by-step explanation:

Sorry if i'm wrong.

I need to know! What is 2+5?

Answers

Answer:

seven

Step-by-step explanation:

1+1=2 and 3+2=5 so 2+5=7

Answer:

2+5=the answer is 7 you welcome

write and equation of the line that passes through the given points point (-2, 4) and is parallel to the line y=4x-4

Answers

Answer:

y=4x+12

Step-by-step explanation:

m=4

y-(4)=4(x-(-2))

y=4x+12

i dont know how to do this I will give brainleist

Answers

Answer:

y = x+14

Step-by-step explanation:

At x =0 y is 14. The pattern of y is 14 greater than x continues.

Answer:

y=x+14

Step-by-step explanation:

Each of the x numbers are being added to 14 to get the y number.

Let us check if this is the answer:

the first numbers in the table are 0 and 14

0 plus 14 equals 14.

Now the next two numbers on the table:

1 plus 14 equals 15

And one more:  the third numbers on the table:

2 plus 14 equals 16

video explaining this-watch it, it is short and easy to understand:

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-x-and-y-intercepts/v/finding-intercepts-for-a-linear-function-from-a-table

Evaluate $\dfrac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}}$.

Answers

Answer:  4

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

Work Shown:

[tex]\frac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}}\\\\\frac{2\sqrt{36*2}}{\sqrt{4*2}+\sqrt{2}}\\\\\frac{2\sqrt{36}*\sqrt{2}}{\sqrt{4}*\sqrt{2}+\sqrt{2}}\\\\\frac{2*6*\sqrt{2}}{2*\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{2\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{3\sqrt{2}}\\\\\frac{12}{3}\\\\4[/tex]

Note in step 2, I factored each number in the square root to pull out the largest perfect square factor. From there, I used the rule that [tex]\sqrt{A*B} = \sqrt{A}*\sqrt{B}[/tex] to break up the roots.

Answer:

4

Step-by-step explanation:

We first simplify $\sqrt{72}$ and $\sqrt{8}$:\begin{align*}

\sqrt{72} &=\sqrt{36\cdot 2} = \sqrt{36}\cdot \sqrt{2} = 6\sqrt{2},\\

\sqrt{8} &= \sqrt{4\cdot 2} = \sqrt{4}\cdot \sqrt{2} = 2\sqrt{2}.

\end{align*}Then, we have

\[\dfrac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}} = \dfrac{2\left(6\sqrt{2}\right)}{2\sqrt{2} + \sqrt{2}}

= \dfrac{12\sqrt{2}}{3\sqrt{2}} = \dfrac{12}{3}\cdot \dfrac{\sqrt{2}}{\sqrt{2}} = \boxed{4}.\]

Three friends went apple picking and then counted the apples they picked.
Who has the largest red to green apple ratio? Use original complete sentences.

!! WILL GIVE BRAINLIEST IF CORRECT !!

Answers

Answer:

Carmen has the biggest red to green apple ratio

Step-by-step explanation:

Red to green apple ratios are, in order, 20:12, (5:3), 12:10 (6:5), and 16:20 (4:5). 5:3 is the biggest red to green apple ratio because for every 5 red apples Carmen has 3 green apples.

Convert 30 C to F using the formula (9C/5)+32=F

Answers

Answer:

answer below

Step-by-step explanation:

C=5/9(F--32)

9C/5=F--32

F=9C/5 +32

When C=30

F=(9*30/5)+32=9*6+32=54+32=86

F=86

so the answer is 86

hope this helps ^^

Answer:

What is the real increase if VAT increases from 10% to 14%?

Step-by-step explanation:

What is the real increase if VAT increases from 10% to 14%?

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