A group of students formed a circle during a game. The circumference of the circle was about 50.24 feet, and the diameter of the circle was 16 feet. Which expression best represents the value of π?

Answers

Answer 1

A group of students formed a circle during a game. The circumference of the circle was about 50.24 feet, and the diameter of the circle was 16 feet. The required expression for value of π is: 3.14

What is diameter of circle?

A circle is a form made up of all points on a plane that are at a specific distance from the centre point. In other words, it is the path a moving point in a plane takes to travel around a curve while maintaining a constant distance from another point.

Given that,

The circumference of the circle was about 50.24 feet,

And the diameter of the circle was 16 feet

We have to determine,

Which expression best represents the value of π.

According to the question,

Circumference of the circle = 50.24 feet

Diameter f the circle = 16 feet

Then,

Circumference of the circle = π × d

Circumference of the circle = 50.24 feet

Therefore,

50.24 = π × d

or. π × 16 = 50.24

or,  π = 3.14

Hence, The required expression for value of π is: 3.14

For the more information about the circle refer to:

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Related Questions

Tamora just made the last of her monthly payments on her loan. she had been making these payments for the past nine years. the loan had a principal of $10,675 and an interest rate of 4.75%, compounded monthly. in addition, tamora paid $939.25 in service charges. what was tamora’s total finance charge? round all dollar values to the nearest cent. a. $939.25 b. $11,614.25 c. $3,403.53 d. $2,464.28 please select the best answer from the choices provided a b c d

Answers

Tamora’s total finance charge was $3,403.53 if Tamora paid in addition of $939.25 in service charges option (c) is correct.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We have:

Principal amount(Loan principal) = $10,675

Interest rate  = 4.75 %

Monthly rate = 4.75/12% ⇒0.39583% ⇒ 0.00395

Additional amount she paid in service charge = $939.25

Number of months = 9×12 = 108 months

We can find the total finance charge as follows:

Finance charge = Total amount repaid +service charge - Loan principal

The formula for the monthly payment of the loan is given by:

[tex]\rm Monthly \ payment = \frac{Loan \ principal }{\frac{(1-(1+r)^-^n)}{r} }[/tex]

[tex]\rm Monthly \ payment = \frac{10675}{\frac{(1-(1+0.00395)^-^{108})}{0.00395} }[/tex]    

After calculating, we get:

Monthly payment = $121.66

For 108 months, Tamora paid:

= 121.66×108

= $13,139.23

The finance charge will be:

= $13,139.23+$939.25-$10,675

= $3,403.53

Thus, Tamora’s total finance charge was $3,403.53 if Tamora paid in addition of $939.25 in service charges option (c) is correct.

Learn more about the compound interest here:

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Please help!!!

Let f be the function given by f(x) = x2.

Write an equation for the function g whose graph is the graph of f translated 3 units left and up 5 units.

Answers

Answer:

If it is x squrared the answer would be (x+3)²+5. If it is 2 times x then it would be (2x+3)+5

Step-by-step explanation:

Part E

Using the dimensions from part D, find the area of each simple shape. Do this for all your decompositions (sets of shapes).

Answers

Answer:

What type of question is this

Answer:

The area of a rectangle is given by A = l × w, where l is the length and w is the width.

The length (l) and width (w) of the small rectangle are 14 feet and 6 feet, respectively, so the area of the small rectangle (As) is:

AS  =  14 ft. × 6 ft.

= 84 sq. ft.

The length (l) and width (w) of the large rectangle are 20 feet and 7 feet, respectively, so the area of the large rectangle (Al) is:

Al  =  20 ft. × 7 ft.

= 140 sq. ft.

The area of a triangle is given by , where b is the base and h is the height of the triangle.

The base and height of the triangle both measure 6 feet, so the area of the triangle (At) is:

   ft.  ft.

  sq. ft.

  sq. ft.

Step-by-step explanation:

Answer number 1 please thank you

Answers

Answer:

$52.5

Step-by-step explanation:

Since 25% is the sale, we subtract 100% (the whole) by the discount, 25%. That leads us to say that we are paying for 75% of the product's price.

We multiply $70 by 0.75 and you get $52.5!

Please mark brainiest if this helped you!

Help please I’m kinda stuck on these last part!

Answers

Answer:

Emmanuel will need 8 scoops to get 2 tablespoons

you need 12 1/2 tablespoons for 6 tablespoons

Step-by-step explanation:

NEED HELP!! WILL GIVE BRAINLIEST!! PLEASE COMPLETE BOTH!

Answers

Answer:

[tex]10 \frac{5}{6}\\\\5 \frac{5}{6}[/tex]

Step-by-step explanation:

[tex]5 \times 2 \frac{1}{6} \\ \\ = 5 \times \frac{13}{6} \\ \\ = \frac{65}{6} \\ \\ = 10 \frac{5}{6} \\ \\ \\ 3 \frac{1}{2} \times 1 \frac{2}{3} \\ \\ = \frac{7}{2} \times \frac{5}{3} \\ \\ = \frac{35}{6} \\ \\ = 5 \frac{5}{6} [/tex]

Consider the first radical :

[tex]{:\implies \quad \sf 5\times 2\dfrac16}[/tex]

Using the properties of mixed fraction, writing the mixed fraction as an improper fraction, we will be having

[tex]{:\implies \quad \sf 5\times \bigg(\dfrac{6\times 2+1}{6}\bigg)}[/tex]

[tex]{:\implies \quad \sf 5\times \bigg(\dfrac{12+1}{6}\bigg)}[/tex]

[tex]{:\implies \quad \sf 5\times \dfrac{13}{6}}[/tex]

[tex]{:\implies \quad \sf \dfrac{65}{6}}[/tex]

[tex]{:\implies \quad \boxed{\bf{10\dfrac56}}}[/tex]

Hence, Option D) is correct

Now, coming to the 2nd question :

[tex]{:\implies \quad \sf 3\dfrac{1}{2}\times 1\dfrac{2}{3}}[/tex]

[tex]{:\implies \quad \sf \bigg(\dfrac{3\times 2+1}{2}\bigg)\times \bigg(\dfrac{3\times 1+2}{3}\bigg)}[/tex]

[tex]{:\implies \quad \sf \bigg(\dfrac{6+1}{2}\bigg)\times \bigg(\dfrac{3+2}{3}\bigg)}[/tex]

[tex]{:\implies \quad \sf \dfrac{7}{2}\times \dfrac{5}{3}}[/tex]

[tex]{:\implies \quad \sf \dfrac{35}{6}}[/tex]

Now, Rewriting this improper fraction as mixed fraction, we will be having :

[tex]{:\implies \quad \boxed{\bf{5\dfrac56}}}[/tex]

Hence, Option C) is correct

how can i write this in a calculator?

Answers

Answer:

2.13

Step-by-step explanation:

cos 62⁰=10/x=0.47

x=10/0.47≈2.13

Pls help i will give brainliest

Answers

Answer:

i think 31

Step-by-step explanation:

What is the question asking here ?

solve this problem correctly, and you will be my bff for life

Answers

The graph shown is the second derivative

   ⇒ first derivative equals the area between

          - the second derivative function from 0 to 2

          - the axis

Thus the first derivative f(2) equals [tex]8 + c[/tex]

c: represents the initial position

However there is an inital position for the first derivative ⇒ f(0) = 2.5

Therefore we must add the initial position to the first derivative found

  f(2) = 8 + 2.5 = 10.5

Hope that helps!

Find the area (please hurry if you are answering, due soon)

Answers

Area of the figure is 171 cm²

See the attachment......

Area of triangle:-

1/2(12)(19)6(19)114cm²

Area of square:-

7²49cm²

Area of rectangle:

5(3)15cm²

Total:-

15+49+114178cm²

7,14,21,28,35, __
Which sentence about the missing number in the Pattern is true?
The missing number ends with a 5.
The missing number is a Multiple of 10.
The missing number is a odd number.
The missing number is a even number.

Answers

Answer:

the patters is that they are multiple of 7.. so next number is 42.

which means option D The missing number is even is correct..

1000 is divided by 100 and anwers is 10 but how can explain someone easy way

Answers

I hope that I helped ;D

15. If a=3 and b= -2, find the values of:
(i) a^a + b^b
ii) a^b + b^a

Answers

Answer:

Step-by-step explanation:

(i) a^a + b^b

for a=3 and b= -2

3^3 + -2^(-2)

          -2^(-2) = -(1/2^2)

3^3  -(1/2^2)

27 - (1/4)

26 3/4

ii) a^b + b^a

a^b + b^a

for a=3 and b= -2

3^(-2) + (-2)^3

1/3^2 + (-2)(-2)(-2)

1/9 - 8

-7 8/9

In future just substitute the number in

Angle K in △MKL is a right angle.

Answers

Hypotenuse= MLPerpendicular=KL=15Base= KM=8

By using Pythagoras theorem.

h²=p²+b²ML²=15²+8²ML²=225+64ML=√289

Therefore ML= 17...

Step-by-step explanation:

Hope it helps....Mark me brilliant

help me out please look at photo

Answers

Answer:

seek god

Step-by-step explanation:

dang maybe the 2nd one

What is the value of the one in 45.12

Answers

Answer:

Step-by-step explanation:

1 is in the tenth place

[tex]\sf 1's \ value = \dfrac{1}{10}[/tex]

Are { 13 x (25+ 15) } and { (13x25) + (13x25) } equal?

Answers

no.

Use distributive property on the first set and you get:

{(13 x 25) + (13 x 15)}

therefore not equal to the second set of

{(13 x 25) + (13 x 25)}

Calculate the area of the trapezoid. Use paper to show your work. The figure is not drawn to scale.
12 cm
12 cm
21 cm
The area of the trapezoid is how many cm?

Answers

The area of a trapezium with the given dimensions is: 198 cm²

What is the Area of a Trapezium?

Area of a trapezium = 1/2(a + b)h, where h is the heght of the trapezium and a and b are the length of its bases.

Given the following:

a = 12 cmb = 21 cmh = 12 cm

Area of a trapezium = 1/2(12 + 21)12

Area of a trapezium = 198 cm²

Learn more about the area of trapezium on:

https://brainly.com/question/1463152

A parallelogram originally has an area of 47 square inches. Find its new area if its base
is one-fourth times as long and its height is twice as long.

PLS HELP ME!! WILL GIVE LOTS OF POINTS AND GIVE BRAINLIEST!

Answers

Answer:

23.5

Step-by-step explanation:

So this is a parallelogram so the area formlula is b*h=47? That's a no go. It is saying that if the base is 1/4th and the height is increasing by 2 so basically 1/4b*2h=1/2bh bh so it will be represented as 47 so 1/2*47=23.5

I need help please!!!

Answers

Answer:

Step-by-step explanation:

GUYS PLEASE HELP ME I NEED TO FINISH THIS

Answers

The answer is B you’re welcome

Can someone help me with this problem? It’s rlly hard

Answers

Answer:

4(5+8)

Step-by-step explanation:

The GCF of 20 and 32 is 4. Then you divide 20 and 34 by 4.


Which graph represents the solution of the system
[x2 + y2 = 4
[x-y=1

Answers

Answer:

its b

Step-by-step explanation:

just took the test

Answer:

Its C

Step-by-step explanation:

Have a good day!

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

its A

Step-by-step explanation:

8-3=5 and 9/10-4/10=5/10=1/2

Answer:

A. 5 1/2

Step-by-step explanation:

[tex]8\frac{9}{10}-3\frac{4}{10}\\\text{Convert the mixed numbers into improper fractions.}\\(\frac{80}{10}+\frac{9}{10})-(\frac{30}{10}+\frac{4}{10})\\\text{Combine the fractions.}\\\frac{89}{10}-\frac{34}{10}\\\text{Since the denominators are the same, simply subtract the numerators.}\\\frac{89-34}{10}\\\frac{55}{10}\\\text{Split the fraction into two so one part becomes a whole number.}\\\frac{50}{10}+\frac{5}{10}\\\text{Evaluate 50 over 10.}\\5+\frac{5}{10}\\\text{Simplify the fraction 5/10.}\\[/tex]

[tex]5+\frac{5/5}{10/5}\\5+\frac{1}{2}\\\text{Combine the mixed number.}\\5\frac{1}{2}[/tex]

Dumpster #1 contains 45 fewer molded vegetables than dumpster #2. Dumpster #2 contains 80 fewer molded vegetables than dumpster #3. If there are 236 molded vegetables in all the dumpsters combined, how many vegetables are in dumpster #1?

Answers

Answer:

22 vegetables

Step-by-step explanation:

Set the #number of molded vegatables in dumpster 1 as X

The number of molded vegetables in 2 is x + 45 and the number of molded vegies in 3 is x + 45 + 80

x + x + 45 + x + 45 + 80 = 236 (combine similar terms)

         Thats 3x = 66

Which equas 22

Find the Circumference.​

Answers

Answer:

1.

r = 12 m.

d = 24 m.

circumference: 75.36 m² or 24π m²

2.

r = 10 cm.

d = 20 cm.

circumference: 62.8 cm² or 20π cm²

3.

r = 4 dm.

d = 24 dm.

circumference: 25.12 dm² or 8π dm²

Step-by-step explanation:

Circumference of a circle: 2πrπ (pi) = 3.14r (radius) = d/2d (diamater) = 2r

Substitute the the values of the table into the formula:

1.

r = 12 m.

d = 24 m.

circumference: 75.36 m² or 24π m²

2πr

2 * 3.14 * 12

3.14 * 24

75.36 m² or 24π m² <== circumference

12 * 2 = 24 m <== diameter

2.

r = 10 cm.

d = 20 cm.

circumference: 62.8 cm² or 20π cm²

r = 20/2 = 10 cm <== radius

2πr

2 * 3.14 * 10

3.14 * 20

62.8 cm² or 20π cm² <== circumference

3.

r = 4 dm.

d = 24 dm.

circumference: 25.12 dm² or 8π dm²

2πr

2 * 3.14 * 4

3.14 * 8

25.12 dm² or 8π dm² <== circumference

4 * 2 = 8 dm <== diameter

Hope this helps!

how many solutions do the following systems have
{0.5x-3/4y=7
:5.6-2/5x=-0.6y

Answers

Answer:

Step-by-step explanation:

I think the answer is 0-1, but i will have to see the answers to determine.

Hope it helps!

HELP ME PLEASE
My last question

Answers

Answer: 32c-1 is one of them

Step-by-step explanation:

Which value of b will cause the quadratic equation x2 bx 5 = 0 to have two real number solutions? –5 –3 3 4

Answers

The value of b for the quadratic equation x2 bx 5 = 0 to have two real number solutions is -5.

When a quadratic equation has two real number solutions?

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

The quadratic equation has two real number solutions when the value of the following equation is positive.

[tex]b^2-4ac[/tex]

The quadratic equation given in the problem is,

[tex]x^2 +bx+ 5 = 0[/tex]

The value of b has to be found out such that the equation have two real number solutions. For this equation,

[tex]a=1\\c=5[/tex]

Put this value in the above equation as,

[tex]b^2-4\times1\times5\\b^2-20[/tex]

The value of the above expression to be positive, the value of b should be at least 5 or -5.

[tex](-5)^2-20\\25-20\\5[/tex]

Thus, the value of b for the quadratic equation x2 bx 5 = 0 to have two real number solutions is -5.

Learn more about the quadratic equation here;

https://brainly.com/question/1214333

Answer:

Which value of [tex]b[/tex] will cause the quadratic equation [tex]x^2 + bx + 5 = 0[/tex] to have two real number solutions?

✔ A) -5

B) -3

C) 3

D) 4

There one Thing That would got to 0 so it A) -5

Have a Nice Day .

what is the interest rate (as a percent)

Answers

Answer:

I didn't understood your question. But,

Formula to find rate of interest=

100/T

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