The circumference of a circle is 17pi ft. what is the area, in square feet?​

Answers

Answer 1

Answer:

72.25 pi ft^2

Step-by-step explanation:

The circumference of a circle is

C = 2*pi*r

17 pi = 2*pi*r

Divide each side by 2pi

17 pi / 2pi = 2 pi r / 2pi

17/2 = r

We want to find the area

A = pi r^2

A = pi ( 17/2) ^2

A =289/4 pi  ft^2

A = 72.25 pi ft^2


Related Questions

Emma rides a bicycle 16 miles east and then 15 miles north. About how far is she from her starting point?

Answers

Step-by-step explanation:

starting pt.

root 16²+15²

= 256 + 225

=481

distance= 22 miles aprox.

James is having a BBQ. Burgers come in packs of 12
and buns come in packs of 8. How many packs of each
will James need to buy so that he has no spares?

Answers

Answer:

2 packs of Burgers, 3 Packs of Buns

Answer:

He will need to buy 2 packs of burgers. And 3 packs of buns.

Step-by-step explanation:

The lowest common number that 12 and 8 Share is 24. 12×2=24 8×3=24

A giant pie is created in an attempt to break a world record for baking. The pie is shown below: A circle is shown with a central angle marked 38 degrees and the diameter marked 20 feet. What is the area of the slice of pie that was cut, rounded to the nearest hundredth? 22.08 ft2 13.19 ft2 33.14 ft2 28.97 ft2

Answers

Answer:

33.14 ft^2

Step-by-step explanation:

First find the area of the circle

The diameter is 20 ft so the radius is 1/2 of the diameter of 20*1/2 = 10 ft

A = pi r^2 = pi ( 10)^2 = 100 pi

The central angle is 38

That is a fraction of the circle, which is 360 degrees

38/360 = 19/180

Multiply the fraction of the circle by the area

19/180 * 100 pi

19/9 * 5 pi

Using 3.14 for pi

33.144444

To the nearest hundredth

33.14 ft^2

The area of the slice of pie that was cut, rounded to the nearest hundredth   33.14 ft^2.

We have to first find the area of the circle.

The diameter is 20 ft so the radius is 1/2 of the diameter of

20*1/2 = 10 ft.

What is the area of the circle?

The area of a circle [tex]A = \pi r^2[/tex]

By using the formula we have,

A= pi ( 10)^2

A = 100 pi

The central angle is 38.

That is a fraction of the circle, which is 360 degrees

38/360 = 19/180

Multiply the fraction of the circle by the area

19/180 * 100 pi

19/9 * 5 pi

Using 3.14 for pi

33.144444

To the nearest hundredth, it is 33.14 ft^2.

To learn more about the circle visit:

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In the diagram what is the length of the 3rd side?

Answers

Answer:

Step-by-step explanation:

Use Pythagorean's Theorem:

[tex]c^2=15^2+8^2[/tex] and

[tex]c^2=225+64[/tex] and

[tex]c^2=289[/tex] so

c = 17

Answer:

Step-by-step explanation:

To find a missing side length, Use Pythagorean Theorem.

Pythagorean Theorem: a^2 + b^2 = c^2

Where a^2 is 8, b^2 is 15 and c^2 is the missing side length.

8^2 + 15^2 = c^2

Simplify the exponents

64 + 225 = c^2

c^2 = 289

Square root c^2

sqrt rt of 289 = 17

so the missing length of the third side is 17

9x mũ 2 + 6x + 1 cho mình hỏi câu này ạ

Answers

Answer:

can you translate in english,would be better...

answer maybe wrong because of the language but stil....

9x(2+6x+1)

=9x(9x)

81x..

Un avión puede volar con la velocidad de 400 km por hora en atmósfera tranquila si cuando se dirige hacia el este el viento viene del Sur con la velocidad de 40 km por hora cuál es la dirección de su vuelo

Answers

Answer:

84,3 ° Sureste

Step-by-step explanation:

El diagrama vectorial que tipifica la pregunta se muestra en la imagen adjunta.

La dirección del avión es la dirección de la velocidad resultante.

Si esta dirección es θ

θ = tan ^ -1 (400/40)

θ = 84,3 ° Sureste

factor and solve the problem in the photo ……. pleaseeee helppppp i havent done algebra in 2 years

Answers

Answer:

Not factarable, all terms must be in x. or y

Step-by-step explanation:

The diagram shows three points P, Q and R on horizontal ground.
PQ = 50 m, PR = 100 m and angie PQR = 140°.
Calculate angle PRO.

Answers

Answer:

m<PQR = 18.7°

Step-by-step explanation:

Apply the Law of Sines,

[tex] \frac{Sin A}{a} = \frac{Sin B}{b} [/tex]

Where,

Sin A = Sin 140

a = 100 m

Sin B = Sin R (<PRQ)

b = 50 m

Substitute

[tex] \frac{Sin 140}{100} = \frac{Sin R}{50} [/tex]

Cross multiply

[tex] 100*Sin(R) = 50*Sin(140) [/tex]

Divide both sides by 100

[tex] Sin(R) = \frac{50*Sin(140)}{100} [/tex]

[tex] Sin(R) = 0.32139 [/tex]

[tex] R = Sin^{-1}(0.32139) [/tex]

R ≈ 18.7° (nearest tenth)

m<PQR = 18.7°

The angle PRO is 1.7 degrees.

Given that,

The diagram shows three points P, Q, and R on horizontal ground.

PQ = 50 m, PR = 100 m and angle PQR = 140°.

We have to determine,

The angle PRO.

According to the question,

The value of angle PRO is determined by using the sin rule-following all the steps given below.

[tex]\rm \dfrac{sina}{a} = \dfrac{sinb}{b}[/tex]

Where,  Sin A = Sin 140 , a = 100 m , Sin B = Sin R (<PRQ) , b = 50 m

Substitute all the values in the formula,

[tex]\rm \dfrac{sin140}{100} = \dfrac{sinR}{50}\\\\ \dfrac{0.64}{100} = \dfrac{sinR}{50}\\\\0.0064 = \dfrac{sinR}{50}\\\\0.0064 \times 50 = sinR\\\\0.321 = sinR\\\\R = sin{-1}(0.321)\\\\R = 18.7 \ degree[/tex]

Hence, The angle PRO is 1.7 degrees.

For more details refer to the link given below.

https://brainly.com/question/12895249

Find the value of x in each case:

Please help me

It's an easy 40 points if you answer this

Answers

Answer:

x = 45

Step-by-step explanation:

The angles labeled with the pink x are the same.  Line V and Line X are parallel and alternate interior angles are equal when the lines are parallel.

We know the 3 angles inside the triangle and the sum of the angles of a triangle are 180

x+x+ 2x = 180

4x= 180

4x/4 = 180/4

x = 45

A changes
16. By accident, 6 burned out bulbs have been mixed in with 16 good ones, Ken is replacing old bulbs in his house. If he selects two bulbs at random from the box of 22, what is the
probability they both work?

Answers

Answer: 8/11

Step-by-step explanation:

This is because there are a total of 22 bulbs. 16 of those bulbs work, giving us the fraction: 16/22. If you simplify 16/22 by dividing the numerator and denominator by 2, you get 8/11.

Answer:  Choice C)  40/77

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

Explanation:

There are 16 working bulbs out of 6+16 = 22 bulbs total.

The probability of randomly selecting a working bulb is 16/22

After that first bulb is selected and not put back, the probability of randomly selecting another working bulb is 15/21. Take note that I subtracted 1 from each part of the original fraction.

So we get the answer of

(16/22)*(15/21) = 240/462 = 40/77 which is choice C.

------------

Extra info:

Choice A is only true if Ken puts the first selection back. You would compute (16/22)*(16/22) = 64/121. However, it sounds like he's not doing replacement. So whatever is selected is not put back. This is why I ruled out choice A.Choice B is ruled out as well because 16/22 = 8/11 refers to the probability of one working bulb (instead of 2 in a row)It's not clear how the fraction of choice D is formed, but we can rule it out because choice C is the answer.

đưa về phương trình tích: f(x)=3x^2-2x-1

Answers

f(x)=3x²+x-3x-1

=x(3x+1)-(3x+1)

=(x-1)(3x+1)

Find X round to the nearest tenth.

Answers

Answer: 83 degrees

Step-by-step explanation:

(16^2 + 8^2 - 17^2)/(2)(16)(8) = 83

HELP I NEED HELP PLS IM FAILING ITS PYTHAGOREAN THEOREM

Answers

2^2 + 2^2 = h^2

8 = h^2

√8 = h

h = 2.82mm

Answered by Gauthmath must click thanks and mark brainliest

What is the measure of m?

Answers

Answer:

12

Step-by-step explanation:

bc it is

Pls answer all questions

Answers

5:-c

The 3multiples are 25,50,75

6:-c

[tex]\\ \sf\longmapsto 6\:of\:2+9-5[/tex]

[tex]\\ \sf\longmapsto 6(11-5)[/tex]

[tex]\\ \sf\longmapsto 6(6)[/tex]

[tex]\\ \sf\longmapsto 36[/tex]

7:-a

12,17

8:-c

22=2×1188=2×2×2×11

HCF=2×2×11=44

9:-c

LCM of 9 and 5 is 45 hence its true

10:-c

HCF of two consecutive numbers is 1

I can’t figure out which formula goes with which sequence. Help……. Please???

1st sequence:
1,3,9,27,….
What is the formula?

2nd sequence:
400,200,100,50,…
What is the formula?

3rd sequence:
4,8,16,32,…
What is the formula?

4th sequence:
400,100,25,6.25,…
What is the formula?

5th sequence:
1,5,25,125,…
What is the formula?

6th sequence:
1000,500,250,125,…
What is the formula?

7th sequence:
2,10,50,250
What is the formula?

I need to know the correct geometric sequence formula for each of these sequences. Thanks!!!

Answers

For a geometric sequence

a, ar, ar ², ar ³, …

the n-th term in the sequence is ar ⁻ ¹.

The first sequence is

1, 3, 9, 27, …

so it's clear that a = 1 and r = 3, and so the n-th term is 3 ⁻ ¹.

The second sequence is

400, 200, 100, 50, …

so of course a = 400, and you can easily solve for r :

200 = 400r   ==>   r = 200/400 = 1/2

Then the n-th term is 400 (1/2) ⁻ ¹.

Similarly, the other sequences are given by

3rd: … 4 × 2 ⁻ ¹

4th: … 400 (1/4) ⁻ ¹

5th: … 5 ⁻ ¹

6th: … 1000 (1/2) ⁻ ¹

7th: … 2 × 5 ⁻ ¹

Find the distance between the two points.
(-5,1)
(0,0)
[?]
Enter the number that
goes beneath the
radical symbol.

Answers

Answer:

[tex]{26}[/tex]

Step-by-step explanation:

[tex] \sqrt{(0 - ( - 5) ){}^{2} + (0 - 1) {}^{2} } [/tex]

[tex] = \sqrt{ {(5)}^{2} + {( - 1)}^{2} } [/tex]

[tex] = \sqrt{25 + 1} [/tex]

[tex] = \sqrt{26} [/tex]

Answered by GAUTHMATH

Answer:

26

Step-by-step explanation:

(-5, 1) (0, 0)

sqrt(5^2 + (-1^2))

sqrt(25 + 1)

sqrt(26)

So, 26 goes under the radical.

i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money that i have

Answers

Answer:

Step-by-step explanation:

(N)0.05 + (17-N)0.1 = M; M = amount of money I have.

Or 1.7-0.05N = M.

An expression two different ways to  the amount of money is equals to

1. 5N + 10 (17 -N)  = Y cents

2. N + 2(17 - N) = Y nickels

What is amount?

" Amount is defined as the total of any given quantity."

According to the question,

Total number of coins = 17

Number of nickels coins = N

Number of dimes coin = 17 - N

'Y' express the amount of money

Represent amount of money in cents

1 dime = 10 cents

1 nickel = 5 cents

Expression to represents amount of money in cents,

5N + 10 (17 -N)  = Y cents

Expression to represents amount of money in nickels,

1 dime = 2 nickel

N + 2(17 - N) = Y nickels

Hence, an expression two different ways to  the amount of money is equals to

1. 5N + 10 (17 -N)  = Y cents

2. N + 2(17 - N) = Y nickels

Learn more about amount here

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#SPJ3

a trader is given 15% discount on goods bought from a factory. If the original price of an item in the factory is 45000. Calculate the amount the trader paid for them​

Answers

Answer:

38,250

Step-by-step explanation:

Its a 15% discount so youre only paying 85% of the original 45,000. You then multiply 45,000 by .85 to find what youre paying because the decimal version of 85% is .85. You can find the decimal version of a percentage by dividing the percentage by 100; 85/100=.85. Once you multiply 45,000 by .85 you get 38,250.

Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.

A. 11.7
B. 11.9
C. 11.4
D. 14.4

Answers

Answer:

Option A, 11.7

Step-by-step explanation:

To find height,

tan 68 = 26/h

h = 26/tan(68)

to find x

tan(42) = h/x

x = h/tan(42)

x = 11.7 (rounded to the nearest tenth)

Answered by GAUTHMATH



I need help ASAP please

Answers

Answer:

it's the third one.

Step-by-step explanation:

It should be a bold/filled circle on the line instead of an empty one.

can anyone help me please ?

Answers

3 Answers: Choice B, C, and D

Basically, everything except choice A.

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

Explanation:

All exponential functions can be written into the form y = a*b^x

The b term determines if we have growth or decay.

If 0 < b < 1, then we have decay. If b > 1, then we have growth.

------------

For choice A, we have b = 1.7 which satisfies b > 1. This represents growth. So we cross choice A off the list.

Choice B looks almost identical since it appears b = 1.7 here as well, but note the negative exponent. It might help to rewrite choice B into y = 3( 1.7^(-2) )^x and note how b = (1.7)^(-2) = 0.346 approximately. This represents decay.

Choice C has b = 1/3 = 0.33 approximately which is also decay.

Finally, choice D has b = 2^(-1) = 1/(2^1) = 1/2 = 0.5 which is also decay.

Choices B through D have b values such that 0 < b < 1.

------------

Check out the graph below. It visually confirms the answers mentioned earlier. A growth function goes uphill as we move to the right, while a decay function moves downhill while moving to the right.

I used GeoGebra to make the graph.

Question Two please help

Answers

Answer:

The similarity statement is RTS and ACB. Other options are correct

Geometry, please answer question ASAP

Answers

9514 1404 393

Answer:

  D.  5.4

Step-by-step explanation:

The point U divides segment SP into the ratio 1 : 2. So, segment SU is 1/2 the length of segment UP.

  SU = UP/2 = 3.6/2 = 1.8

The length of PS is ...

  PS = PU +US = 3.6 +1.8

  PS = 5.4

__

Additional comment

If you were asked to find the value of x, you would discover x=1. That is not what you're asked here.

2 cm = 7.5 m in the drawing the mall is 8.6 cm tall how tall is the actual mall

Answers

Step-by-step explanation:

here's the answer to your question

If A=(prime number less than 10)list the element of set A and find n(A)​

Answers

A=(2 3 5 7)
N(A) =4


( sorry I need the points)

The product of two numbers is 10000.If one number is 16 times the other numbers ,find the two numbers.​

Answers

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

➯Question:

The product of two numbers is 10000. If one number is 16 times the other numbers ,find the two numbers.

Answer:

Both numbers are 25 and 400.

Step By Step Explanation:

Given that:

The product of two numbers is 10000.

One number is 16 times the other number.

To Find:

Both numbers?

Solution:

Let us consider that one number be n, in question it is stated that other number is 16 times the first number. Therefore, other number is 16n.

According to the Question :

[tex]\sf↦ Product ~of ~numbers = 10000\\\\↦ n × 16n = 10000\\\\↦ 16n² = 10000\\\\↦ n² = \sf \dfrac{10000}{16}\\\\↦ \sf n = \sqrt{\dfrac{10000}{16}}\\\\↦ \sf n = \sqrt{\dfrac{100\:\times\:100}{4\:\times\:4}}\\\\↦ \sf n = {\cancel{\dfrac{100}{4}}}\\\\➦\pmb{\underline{\boxed{\sf{\pink{n = 25}}}}}[/tex]

Hence,

1st number = n = 25

2nd number = 16n = 16 × 25 = 400

∴ Hence, both numbers are 25 and 400.

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

Answer:

(25, 400) or (-25, - 400)

Step-by-step explanation:

Let the numbers be x and y.

We have:

y = 16xxy = 10000

Substitute y and solve for x:

x(16x) = 1000016x² = 10000x² = 10000/16x² = 625x = √625x = ± 25

Then y is:

y = ± 25*16 = ± 400

The numbers are:

25 and 400 or -25 and - 400

Seventy-two books were to be divided up among 18 children. Which of the following
expressions is equivalent to this fraction?
a. 8/3 divided by 6/9
b. 8/3 times 2/3
c. 2/9 divided by 8/9
d. 2 times 8/2

Answers

Answer:

a

Step-by-step explanation:

cause if 72 book were divided by 18 kids they would hav all gotten 4 books each

so a is the answer cause it gives youthe answer 4

Answer: a. 8/3 divided by 6/9

Step-by-step explanation: I got this question on my test

Ashish is 175 cm tall his sister Annu is 8% shorter than him what is Annu's height

pls help​

Answers

Answer:

8% out of 175 = ( 8 ÷ 100 ) × 175 = 14

175 cm - 14 = 161 cm

...............

Fill in the table to explore the graph.
Miles Walked by Alonso
" Time (hours) 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
Miles Walked
6
V
16
12
Miles
8
4
X
1
4
3
Time (hours)
time

Answers

Answer:

Step-by-step explanation:

so you have divide  ok by my  and divide 5x1

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