The formula for the circumference of a circle is c=2pir where r is the radius and c is the circumference. The equation r is r=c/2pi

The Formula For The Circumference Of A Circle Is C=2pir Where R Is The Radius And C Is The Circumference.

Answers

Answer 1

Answer:

r = 8

Step-by-step explanation:

The circumference of a circle is given by :

[tex]C=2\pi r[/tex] ...(1)

We need to find the value of r when C = 16π

Solving equation (1)

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{16\pi}{2\pi}\\\\r=8[/tex]

So, the value of r is 8. Hence, the correct option is (b).


Related Questions

f(x)= (x+1)/2
g(x)= 2x-1

Show your work to prove that the inverse of f(x) is g(x).

Show your work to evaluate g(f(x)).

Please help! I don't understand how to prove that they're inverse of eachother.

Answers

9514 1404 393

Answer:

  g(f(x)) = x . . . so the functions are inverses

Step-by-step explanation:

Two functions f and g are inverses of each other if ...

  g(f(x)) = x   or   f(g(x)) = x

We are asked to evaluate g(f(x)). That will be x if the functions are inverses.

  g(f(x)) = g((x+1)/2) = 2((x +1)/2) -1 = (x +1) -1

  g(f(x)) = x . . . . the functions are inverses

A 3-gallon container of window cleaner costs $23.88. What is the price per quart?

Answers

Answer:

The answer is 1.99

Step-by-step explanation:

23.88 divided by 12 =1.99 and There are 12 quarts in 3 gallons.Have a nice day❤

Please, can someone help???

Answers

Answer:

using sas both C angles are the same because of vertical angles

since what is given we find that BD and AE are straight lines meaning that BA and ED are parallel

this means that angle B is congruent to angle D and the same for A and E

using sas or asa we can determine BCA and ECD congruent

Step-by-step explanation:

QUICK ILL GIVE BRAINLIEST
Points P(4, 7) and Q(1, 4) are two vertices of a square. Which coordinates, R and S, will make PQRS a square?

Answers

Answer:

P-4,7

Q-1,4

R-4,4

S-1,1

Step-by-step explanation:

4,4- 1,4 theres a 3 unit distance. just subtract 3 from y and you'll get the answer

whats the the answer
for the money chapter test on time4learning

Answers

Hihihihihihihihihihihihihihihihihihohihihihihihihihigigigigigihiggihihihihihihohihohihihihihiiihihihihihihi hi hiiihihihi

Answer:

what is the quetion then i can answer it

Step-by-step explanation:

just remeber a penny is 1 cent a qurter is 25cents and so on

pleaseeee helpppp !!!!!!! Mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

LP = 18

Step-by-step explanation:

Given that,

In ΔLPN,

LQ = 6, LM = 11 and MN = 22

We need to find the length of LP.

As QM ║PN, let QP = x

[tex]\dfrac{LQ}{LP}=\dfrac{LM}{LN}\\\\\dfrac{6}{6+x}=\dfrac{11}{11+22}\\\\\dfrac{6}{6+x}=\dfrac{11}{33}\\\\198=66+11x\\\\198-66=11x\\\\132=11x\\\\x=12[/tex]

LP = 6+x

= 6+ 12

= 18

Hence, the length of LP is 18.

I need help with this​

Answers

Step-by-step explanation:

income income earned working 5 hours is $50

She’ll earn $50 in 5 hours

WILL MARK BRAINLIEST PLS:
Give an example of a combination of two functions, f(x) and g(x), that would result in a rational function. Be sure to identify the function type for f(x) and g(x), as well as the operation used to combine them.

Answers

Answer:

fx=3x+7 gx=5x-8

Step-by-step explanation:

here i hope this helps im not 100% sure this is what you want but its what I think

Is this a cubic graph?
Is it a reflection of its parent graph?
This graph shifted _ by _ units

Answers

Answer:

we conclude that the given graph is a cubic function and is translated by shifting 2 units to the left.

Thus, the graph is shifted left by 2 units.

The graph of the parent function f(x)=x³ and f(x+2) = f(x+2)² is shown below.

Step-by-step explanation:

If we carefully analyze the given graph, it is clear that the given graph is the transformed image of form f(x+b) of parent cubic graph f(x) = x³.

In this graph, the function f(x) has been moved over 2 units to the left.

In order to shift a function 2 units to the left, we need to add '2' inside the function's input.

In other words,

f(x+2) = f(x+2)² means the function f(x) is shifted 2 units to the left.

Therefore, we conclude that the given graph is a cubic function and is translated by shifting 2 units to the left.

Thus, the graph is shifted left by 2 units.

The graph diagram of the parent function f(x)=x³ and f(x+2) = f(x+2)² is shown

below.

The red graph is representing f(x)=x³The blue graph is representing f(x+2) = f(x+2)²

Help plz plz plz plz plz !!!

Answers

The answer is y=3x+6

Eric plays poker with his friends on Friday and Saturday nights. Last month he won $15, won $8, lost $12, won $23, lost $3, lost $30, and missed the last weekend. What was the net result of his playing? (Did you get that he won $1?)

Answers

Answer:

$1

Step-by-step explanation:

Which relationship is always correct for the angles p, q, and r of triangle ABC?
vo
B
Op+r=9
Op+q + r = 180 degrees
Op+q + r = 90 degrees
Oq+r=p

Answers

Answer:

B because the 3 interior angles of any triangle adds up to 180 degrees.

Step-by-step explanation:

PLEASE HELP!!! THIS IS IMPORTANT!!! ILL MARK BRAINLIEST! THIS IS 15 POINTS!!

Answers

Answer: 146n is the answer 100%

The other person is correct hope this helps

HELPPPPPPPPPPPPPPPPPPP!!!

Answers

Answer:

15.13cm

Step-by-step explanation:

From that above question:

We are told that:

Lateral surface area of a right circular cone : πr√r² + h²

We are give the following parameters:

Lateral surface area = 236.64cm²

Radius = 4.75cm

We are to find the height

Making h the subject of the formula

h = √[(A/r)² - πr²]/π

h = √[(236.64/4.75)²- π ×4.75²]/π

h = 15.12975 cm

Approximately to the nearest hundredth = 15.13cm

0.65 to 3 significant figure​

Answers

Answer:

100/65 because 0.65 is a decimal number

Step-by-step explanation:

hope this helped

have a great day

The ratio of girls to boys in a student basketball league is 3:4. Choose true or false for the following statement: If there are 30 girls in the league, there
would be 40 boys. *

Answers

Answer:

True. 3:4 is the same as 30:40 because they both times 10

Step-by-step explanation:

help needed! what is 2/3 of 2? (and if possible can you give an easy explanation?)

Answers

Answer:

2/3 of 2 is 1.33

Step-by-step explanation:

this because 2/3 times 2 is 1.33

Answer:

4/3

Step-by-step explanation:

2/3 of 2 is basically multiplying 2/3*2/1.

Therefore it's (2*2)/(3*1) which is 4/3.

Bilal’s favorite colors are \red{\text{red}}redstart color #df0030, start text, r, e, d, end text, end color #df0030 and \green{\text{green}}greenstart color #28ae7b, start text, g, r, e, e, n, end text, end color #28ae7b. He has \red{\text{1 red shirt}}1 red shirtstart color #df0030, start text, 1, space, r, e, d, space, s, h, i, r, t, end text, end color #df0030, \green{\text{1 green shirt}}1 green shirtstart color #28ae7b, start text, 1, space, g, r, e, e, n, space, s, h, i, r, t, end text, end color #28ae7b, \red{\text{1 red hat}}1 red hatstart color #df0030, start text, 1, space, r, e, d, space, h, a, t, end text, end color #df0030, \green{\text{1 green scarf}}1 green scarfstart color #28ae7b, start text, 1, space, g, r, e, e, n, space, s, c, a, r, f, end text, end color #28ae7b, \red{\text{1 red pair of pants}}1 red pair of pantsstart color #df0030, start text, 1, space, r, e, d, space, p, a, i, r, space, o, f, space, p, a, n, t, s, end text, end color #df0030, and \green{\text{1 green pair of pants}}1 green pair of pantsstart color #28ae7b, start text, 1, space, g, r, e, e, n, space, p, a, i, r, space, o, f, space, p, a, n, t, s, end text, end color #28ae7b. Bilal selects one of these garments at random. Let AAA be the event that he selects a green garment and let BBB be the event that he chooses a scarf. Which of the following statements are true? Choose all answers that apply: Choose all answers that apply: (Choice A) A P(A\text{ | }B)=P(A)P(A | B)=P(A)P, left parenthesis, A, start text, space, vertical bar, space, end text, B, right parenthesis, equals, P, left parenthesis, A, right parenthesis, the conditional probability that Bilal selects a green garment given that he has chosen a scarf is equal to the probability that Bilal selects a green garment. (Choice B) B P(B\text{ | }A)=P(B)P(B | A)=P(B)P, left parenthesis, B, start text, space, vertical bar, space, end text, A, right parenthesis, equals, P, left parenthesis, B, right parenthesis, the conditional probability that Bilal selects a scarf given that he has chosen a green garment is equal to the probability that Bilal selects a scarf. (Choice C) C Events AAA and BBB are independent events. (Choice D) D The outcomes of events AAA and BBB are dependent on each other. (Choice E) E P(A\text{ and }B)=P(A) \cdot P(B)P(A and B)=P(A)⋅P(B)P, left parenthesis, A, start text, space, a, n, d, space, end text, B, right parenthesis, equals, P, left parenthesis, A, right parenthesis, dot, P, left parenthesis, B, right parenthesis, the probability that Bilal selects a garment that is green and is a scarf is equal to the probability that Bilal selects a green garment multiplied by the probability that he selects a scarf.

Answers

Answer:

d

Step-by-step explanation:

its right on khan

Complete the missing value in the solution to the equation:
8x + x - y = 2x + 12 + 2y
( ,3

Answers

the answer to the missing value is X = 3

24 is 29% of what number? Round to the nearest tenth,

Answers

Answer:

82.8

Step-by-step explanation:

24/.29

=82.75862

but you want it rounded so 82.8 is your answer

I hope this helps

Answer:

82.8

Step-by-step explanation:

Step 1: If 29% of a number is 24, then what is 100% of that number? Set up the equation.

24 over 29% = Y over 100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

29Y = 24 x 100

29Y = 2400

Y = 2400 over 100 = 82.76

If you round 82.76 to the nearest tenth you get 82.8.

Write -7/10 as a decimal.

Answers

-0.7 is the answer please mark me brainliest

Can you find the slope and type the correct code?

Answers

Answer:

(1). E ; (2). C ; (3). H ; (4) A ;

Step-by-step explanation:

(1). m = [tex]\frac{1}{2}[/tex]

(2). m = 2

(3). m = - [tex]\frac{1}{2}[/tex]

(4). m = - 2

Answer:

ECHA

Step-by-step explanation:

1.) E

m = 1/2

2.) C

y2 - y1/x2 - x1 = m

-4 - (-8)/3 - 1 = m

8 - 4/3 - 1 = m

4/2 = m

m = 2

3.) H

y2 - y1/x2 - x1 = m

-3 - (-6)/-4 - 2 = m

6 - 3/-6 = m

3/-6 = m

-1/2 = m

4.) A

m = -2

The angle lies in Quadrant II.
sin0=3/4
What is cos 0?

Answers

Answer:

cosФ is [tex]-\frac{\sqrt{7}}{4}[/tex]  ⇒ B

Step-by-step explanation:

Let us solve the question using one of the identities of trigonometry

sin²Ф + cos²Ф = 1

∵ sinФ = [tex]\frac{3}{4}[/tex]

→ Substitute it in the rule above to find cos Ф

∴ ([tex]\frac{3}{4}[/tex])² + cosФ² = 1

∴ [tex]\frac{9}{16}[/tex] + cosФ² = 1

→ Subtract [tex]\frac{9}{16}[/tex]  from both sides

∴ cos²Ф = [tex]\frac{7}{16}[/tex]

→ Take √ for both sides

cosФ = ± [tex]\frac{\sqrt{7}}{4}[/tex]

∵ Angle Ф lies on the second quadrant

∴ cosФ is a negative value

∴ cosФ = [tex]-\frac{\sqrt{7}}{4}[/tex]  

cosФ is [tex]-\frac{\sqrt{7}}{4}[/tex]  

Please help me on circle theorems

Answers

Answer:

Thus: m=14°, n=28°

Step-by-step explanation:

Angles in a Circle

Let's review some concepts about angles in a circle.

The central angle is formed between two radii and its vertex lie at the center of the circle.

The inscribed angle is formed between two chords whose vertex lies on the circumference of a circle.

The measure of a central angle x formed by the same lines that define an inscribed angle y is:

x = 2y

Following the definitions and relations above, we find that:

The measure of the central angle 98° is double the inscribed angle 35°+mThe measure of the central angle n is double the inscribed angle m

The first statement leads to:

98 = 2 (35+m)

Dividing by 2:

49 = 35 + m

m = 49 - 35 = 14

m = 14°

The second statement leads to:

n = 2m = 28°

Thus: m=14°, n=28°

A relation is plotted as a linear function on a coordinate plane starting at point C at (3, –2) and ending at point D at (–2, 3). What is the rate of change for the linear function and what is its initial value?The rate of change is ______ and the initial value is ______.

Answers

Given:

A linear function starting at point C at (3, –2) and ending at point D at (–2, 3).

To find:

The rate of change and the initial value.

Solution:

If a linear function passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the equation of linear function is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The given linear function passes through (3,-2) and (-2,3). So, the equation is

[tex]y-(-2)=\dfrac{3-(-2)}{-2-3}(x-3)[/tex]

[tex]y+2=\dfrac{3+2}{-5}(x-3)[/tex]

[tex]y+2=\dfrac{5}{-5}(x-3)[/tex]

[tex]y+2=-(x-3)[/tex]

Subtracting 2 on both sides, we get

[tex]y=-x+3-2[/tex]

[tex]y=-x+1[/tex]

On comparing this equation with slope intercept form [tex]y=mx+b[/tex], where, m is slope and b is y-intercept, we get

[tex]m=-1[/tex] and [tex]b=1[/tex]

Therefore, the rate of change is -1 and the initial value is 1.

Help pls
Jay thinks of a prime number. The sum of its digits is one more than a square number. Write down one number jay could be thinking of.

Answers

Answer:

Jay could be thinking of 11  

Step-by-step explanation:

Prime numbers are the numbers that have two factors only, 1 and itself as

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, .................

All prime numbers can divide by 1 and itself only

∵ A number is a prime number

∵ The sum of its digits is 1 more a square number

The sum of its digits = 1 + x, where x is a square number

→ We will start with the first prime number of 2-digits

11 is a prime number

∵ The sum of its digits = 1 + 1 = 2

→ Substitute it in the equation above to find x

2 = 1 + x

→ Subtract 1 from both sides

∵ 2 - 1 = 1 - 1 + x

1 = x

1 is the square of 1

Jay could be thinking of 11  

You can check some of the other prime numbers to find another number

What is the equation of the given linear function?

Answers

Answer:

f(x) = 9x+8

Step-by-step explanation:

Which is the domain of y=arctan(x)

Answers

Answer:

D. All real numbers

Step-by-step explanation:

t: 3(t + 3) + 5(3 + 2t) – 76 = 0

Answers

Answer:

[tex]\huge\boxed{\sf t = 4}[/tex]

Step-by-step explanation:

[tex]\sf 3(t+3)+5(3+2t)-76 = 0\\\\Expanding \ Parenthesis\\\\3t + 9 + 15 + 10t -76 = 0\\\\13t + 24 -76 = 0\\\\13t - 52 = 0\\\\Add \ 52 \ to \ both \ sides\\\\13t = 52\\\\Dividing\ both\ sides\ by\ 13\\\\t = 52/13\\\\t = 4\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807
Expand the brackets
—That’ll be 3t + 9 + 15 + 10t - 76 = 0
Then we rearrange
3t + 10t = 13t
15+9-76 = - 52

Therefore , it’ll be 13t - 52 = 0
Take “-52” to the other side then it’ll turn to “ +52”

13t = 52

Divide both sides by 13

13t/13 = 52/13

T = 4

Simple

Lin has a drawing with an area of 18 square inches. If she increases all the sides by a scale factor of 3, what will the new area be? square inches.

Answers

Answer:

2/3

Step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves

sry if wrong but i hope it helps

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