The circumference of a circle, C, is directly proportional to the length of its radius, r. Write down a formula,using k, connecting the circumference of the circle and the length of its radius.

Answers

Answer 1

The proportional relationship connecting the circumference of the circle and the length of its radius is:

[tex]C = kr[/tex]

What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

[tex]y = kx[/tex]

In which k is the constant of proportionality.

In this problem:

The output is the circumference of the circle.The input is the radius of the circle.

Hence, the formula is:

[tex]C = kr[/tex]

You can learn more about proportional relationships at https://brainly.com/question/25815502

Related Questions

please help me with math !!

the diagram shows two parallel lines OP and RQ. Straight line PQ is parallel to the y-axis and O is the origin.

a) Find the equation of the straight line PQ.
b) Find the equation of the straight line RQ.
c) Find the x-intercept of the straight line RQ.

Answers

Answer:

a) x = 4b) y = 1.25x + 15c) (-12, 0)

Step-by-step explanation:

a) PQ is parallel to the y-axis and contains point (4, 5).

It means its equation is:

x = 4

b) RQ is parallel to OP.

Parallel lines have equal slopes.

Find the slope of OP:

m = 5/4 = 1.25

RQ has slope of 1.25 and passes through (- 8, 5).

Find its equation using point-slope form:

y - 5 = 1.25(x - (-8))y - 5 = 1.25x + 10y = 1.25x + 15

c) The x-intercept is determined at y = 0:

0 = 1.25x + 151.25x = - 15x = - 15/1.15x = - 12

Tire King is having a sale where customers can buy 4 new tires for $ 319.96 . What is the unit price of the tires?

Answers

Answer:

each tire is 79.99

Step-by-step explanation:

Answer:

$79.99

Step-by-step explanation:

Which angle do ΔEBC and ΔADC share?

Answers

Answer:

The angle in C

Step-by-step explanation:

Complete the tables of values.
Q1) y = x2 - 2x + 4
x -1 0 1 2 3
y

Answers

Answer:

2x(+4)x2

Y-1 0 1 5 2

Step-by-step explanation:

hope it help

A retailer plans to sell two models of earbuds at costs of $250 and 5400.
The $250 model yields a profit of $45 and the $400 model yields a profit of
$50. The retailer estimates that the total monthly demand will not exceed
250 units. Find the number of units each model that should be stocked in
order to maximize profit, given that the retailer is not investing more than
$70,000 in inventory

Answers

200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.

Given that a retailer plans to sell two models of earbuds at costs of $ 250 and $ 400, and the $ 250 model yields a profit of $ 45 and the $ 400 model yields a profit of $ 50, and the retailer estimates that the total monthly demand will not exceed 250 units, to find the number of units each model that should be stocked in order to maximize profit, given that the retailer is not investing more than $ 70,000 in inventory, the following calculation should be performed:

250 x 250 + 0 x 400 = 62,500 200 x 250 + 50 x 400 = 70,000

Therefore, 200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.

Learn more about maths in https://brainly.com/question/25865591

The base of a pyramid has n sides.
Write an expression for the number of vertices of the pyramid.

Answers

The answer to the question is n+1

a piece of string 44 centermerters long.Many cuts of a piece that is 15 centermeaters long .how much string is left?

Answers

44 divided by 15 equal to 2.93333333

6√21 ×√28
please show work :D

Answers

Answer:

84√3

Step-by-step explanation:

6√21√28

6√7√3√7√4

(6√7√3√7)(2)

(6*7)(√3)(2)

(42)(√3)(2)

84√3

[tex]6\sqrt{21} \cdot \sqrt{28}\\\\=6 \left(\sqrt{21 \times 28 \right)\\\\=6\left(\sqrt{588}\right)\\\\=6\left(\sqrt{196 \times 3}\right)\\\\=6\left(14\sqrt 3\right)\\\\=84\sqrt{3}[/tex]

Solve for the variable 2y<14 A) y<12 B) y>-7 C) y>7 D) y<7

Answers

Answer:

D) y < 7

Step-by-step explanation:

So we have 2y < 14:

To solve, we will simply divide by 2 on both sides in order to isolate the y value. Now we have y < 7.

Hope this helps you :)

the three altitudes of a triangle intersect at the:

Answers

Answer: orthocenter

Explanation:

An altitude of a triangle extends from one vertex to the opposite side, where this altitude is perpendicular to the opposite side. The term "altitude" is often interchanged with "height". Think of a tall mountain that has a lot of altitude, so it's got a lot of height.

Any triangle has 3 different altitudes (one per corner). For any triangle, those three altitudes always intersect at exactly one point: the orthocenter. This is one of the many centers of a triangle. Other centers are the centroid, incenter, and circumcenter.

blank % of $10 = $5

thank u for anyone who helps!!

Answers

Answer:

50%

Step-by-step explanation:

Because you don't know the percentage, you can do 5/10, and you will get 1/2, or 0.5. 1/2 is 50%, so the answer would be 50%

Help me please on question one and two

Answers

Answer:

can you show me a better picture your problems are cut off

Step-by-step explanation:

y-4 = 6(x + 7)
What’s the y-intercept of the equation?
Please explain it to me

Answers

Answer: x = - 7 I’m not sure though

Bones or no bones day?

Answers

Answer:

I'm gonna say no bones day, but I have no idea what you are talking about, so I will change my answer once you explain...

Step-by-step explanation:

Answer:Bones Day

Step-by-step explanation:

Use the associative property to simplify the expression.
43 +30 + 70
O A. 43 + 10(3 + 7) = 43 + 10(10) = 143
O B. 43+ (30 + 70) = 43 + 100 = 143
O C. 43 + 30 + 70 = 73 + 70 = 143
O D. 43 + 70 + 30 = 113 + 30 = 143

Answers

Answer:

the answer is 143 cus u add throw

through

I think D lol….not a fan of fans

May I please receive help?

Answers

Step-by-step explanation:

28^2+x^2=32^2

784+x^2=1024

x^2=240

x=15.49

x=~15.5

Ok done. Thank to me:>

I need answer please the answer is not translation

Answers

Answer:

Dilation

Step-by-step explanation:

A dilation is where the size of the figure changes. The square gets larger and therefore undergoes a dilation.

Other transformations:

In a translation the figure slides or moves from its original position

In a reflection the figure is reflected across a given line

In a rotation the figure is rotated.

Type the correct answer in each box. Use numerals instead of words.

Answers

Step-by-step explanation:

let's bring everything on the right hand side back under the square root :

8² = 64

(x³)² = x⁶

so, we get

sqrt(448x^c) = sqrt(64×7×x⁶×x) = sqrt(448×x⁷)

therefore, c = 7

similar to A let's bring everything on the right side under the cubic root :

4³ = 64

(x)³ = x³

cubic root(576x^d) = cubic root(64×9×x³×x²) =

= cubic root(576×x⁵)

therefore, d = 5

FURNITURE A modern table is constructed with four legs made
of concrete cubes with cube-shaped notches.
a. Define one or more variables and write an expression that
represents the volume of one table leg.

b. Marisol determined that she will use 12,636 cubic inches of
concrete to construct the four table legs. If the sides of the
notches are 40% of the sides of the legs, how long are the sides of the legs?

Answers

The volume of a shape is the amount of space in it.

The expression that represents the volume of one table leg is: [tex]V = l^3 + n^3[/tex]The sides of the legs is 14.37 inches long

(a) The volume of one table leg

Represent the side length of the leg with l, and the side length of the notch with n.

So, the expression that represents the volume of one table leg is:

[tex]V = l^3 + n^3[/tex]

(b) The length of the sides

From the question, we have:

[tex]n = 40\% \times l[/tex]

Express 40% as decimal

[tex]n = 0.40 \times l[/tex]

[tex]n = 0.4l[/tex]

Substitute 0.4l for n in [tex]V = l^3 + n^3[/tex]

[tex]V =l^3 + (0.4l)^3[/tex]

[tex]V =l^3 + 0.064l^3[/tex]

[tex]V =1.064l^3[/tex]

The volume of the 4 legs is given as: 12636

So, the volume of one leg would be 12636/4

So, we have:

[tex]1.064l^3 = \frac{12636}{4}[/tex]

[tex]1.064l^3 = 3159[/tex]

Divide both sides by 1.064

[tex]l^3 = 2968.985[/tex]

Take cube roots of both sides

[tex]l = 14.37[/tex]

Hence, the sides of the legs is 14.37 inches long

Answers

Answer:

10, 100. 70,700

Step-by-step explanation:

cuz qauntom of 11 77 divided by 11

find k where y varies directly as x, and the following are true.
y = 2 when x = 16

Answers

Answer:

y=2

x=16

k=difference is x and y

so k=16-2

k= 14

help pls please hmmm

Answers

Step-by-step explanation:

Here is your answer

(2)⁴*³2¹²

Answer:

2^12

Step-by-step explanation:

Since 2^4 is already powered you will only power the 4 and not the 2

For example (a^2)^3 = a^6

and not a*a*a^6

You only power the 2 and not the "a"

Hope this helps!

Part C
Does this curved line represent a function? If not, at what points does it fall the vertical line test?

Answers

Answer:

it is a function because it doesn't have multiple y values for each x value

4/5 of a dollar is how many cents?

Answers

Answer:

4/5 of a dollar is 80 cents.

Step-by-step explanation:

1 dollar = 100 cents=> 4/5 x 100=> 4 x 20=> 80 cents.

Conclusion:

Therefore, 4/5 of a dollar is 80 cents.

Hoped this helped.

[tex]GeniusUser[/tex]

The value of cents in 4/5 dollars would be 80 cents.

Used the concept of measurement unit that states,

A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.

Since we know that;

1 dollar = 100 cents

Hence we get;

The number of cents in 4/5;

4/5 x 100

4 x 20

80 cents.

Therefore, 4/5 of a dollar is 80 cents.

To learn more about the measurement unit visit:

https://brainly.com/question/777464

#SPJ3

Find the surface area of a cylinder with radius 8m and height 5 m

Answers

Answer:

A≈653.45

Step-by-step explanation:

Solution

A=2πrh+2πr2=2·π·8·5+2·π·82≈653.45127

if shan has rupees 4800 left after spending 40% of his salary how much did he have in the beginning

Answers

Step-by-step explanation:

I think that's clear enough

can i please have help with this question
brainliest for answer

Answers

Answer:

yes I can help

Step-by-step explanation:

which one please

David hikes 2 1/4 miles in 1/2 an hour. At his rate, how long will it take him to walk 18 miles

Answers

the answer should be 4 hours in 18 miles

initial value on this table

Answers

Answer:correct me if I’m wrong but it’s 0.

Step-by-step explanation:

85-51=34. 34

—————=. —————=17

5-3. 2

And once 17 is the slope/rate of change,you can either go back 17 each time or….do an equation : f(x)=17(x-3)+51

The latest mystery novel cost $24 the table shows the sales of that this novel by a bookstore what was the dollar amount of the sales of the mystery novel on Saturday right in equation tomorrow to work

Day. Books sold

Thursday. 93

Friday. 103

Saturday 157

Sunday. 116

Answers

Answer:

$3768

Step-by-step explanation:

The amount of sales will be the product of the selling price of each book and the number of books sold.

sales = book price × number of books

sales = $24 × 157 . . . . . . . . books sold on Saturday

sales = $3768 . . . . . . . . . . . sales on Saturday

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