Find the circumferences of the two circles. Circle A has a radius of 21 meters and Circle B has a radius of 28 meters. Use pencil and paper. Is the relationship between the radius of a circle and the distance around the circle the same for all​ circles? Explain.

Answers

Answer 1

Answer:

1.) Circumference of circle A = 131.95 metre

2.) Circumference of circle B = 175.93 metre

3.) Yes. Radius is proportional to the circumference.

Step-by-step explanation: Given that Circle A has a radius of 21 meters and Circle B has a radius of 28 meters

Circumference of a circle = 2πr

For circle A

Radius r = 21

Circumference = 2 × 3.143 × 21

Circumference = 131.95 metre

For circle B

Circumference = 2 × 3.143 × 28

Circumference = 175.93 metre

Is the relationship between the radius of a circle and the distance around the circle the same for all​ circles? YES

Because the radius of the circle is proportional to the distance around them ( circumference ) for all the circle. That is, the larger the radius, the larger the circumference


Related Questions

solve for c. 4(3+c)+c=c+14

Answers

Answer:

c = 1/2

Step-by-step explanation:

Solve for c:

c + 4 (c + 3) = c + 14

4 (c + 3) = 4 c + 12:

4 c + 12 + c = c + 14

Grouping like terms, 4 c + c + 12 = (c + 4 c) + 12:

(c + 4 c) + 12 = c + 14

c + 4 c = 5 c:

5 c + 12 = c + 14

Subtract c from both sides:

(5 c - c) + 12 = (c - c) + 14

5 c - c = 4 c:

4 c + 12 = (c - c) + 14

c - c = 0:

4 c + 12 = 14

Subtract 12 from both sides:

4 c + (12 - 12) = 14 - 12

12 - 12 = 0:

4 c = 14 - 12

14 - 12 = 2:

4 c = 2

Divide both sides of 4 c = 2 by 4:

(4 c)/4 = 2/4

4/4 = 1:

c = 2/4

The gcd of 2 and 4 is 2, so 2/4 = (2×1)/(2×2) = 2/2×1/2 = 1/2:

Answer: c = 1/2

Need help ASAP !! Anyone get this question ?

Answers

Answer:

1:3

Step-by-step explanation:

Down arrows: 4 out of 12

4:12

1:3

Answer:

4:12, 4 to 12, or 4/12

Step-by-step explanation:

this is so simple, first see how many down arrows are there

down arrows: 4

then count the total arrows

total: 12

down arrows to total arrows

4:12

How much money was raised with the 100 tickets solved?

Answers

Answer:

£1481

Step-by-step explanation:

First find the cumulative frequency of the child tickets. You should get 58.

Then multiply this by the price of the child tickets.

58x12.50=£725

Then, to work out the number of adults, we subtract 58 from 100

100-58=42

Then multiply this by the price of adult tickets.

42x18=£756

Add both prices together to get your answer.

725+756=£1481

Sorry if it's too late, I hope it helps. :)

The 10th term of an AP is -37 and sum of its first 6 terms is -27. Find the sum of its first eight terms.

Answers

Answer: - 63

Step-by-step explanation:

An arithmetic progression is such that the N-th element is equal to:

An = A1 + (n-1)*R

where A1 is the first term, and R is the difference between two consecutive terms.

We know that

A1 + 9*R = -37

and

A1 + (A1 + R) +  (A1 + 2R) +   (A1 + 3R) +  (A1 + 4R) +  (A1 + 5R) = -27

6*A1 + R(1 + 2 + 3 + 4 + 5) = -27

6*A1 + 15*R = -27

so we have two equations:

6*A1 + 15*R = -27

A1 + 9*R = -37

Let's find A1 and R.

First, isolate A1 in the second equation:

A1 = -37 - 9*R

now replace it in the other equation and solve it for R.

6*A1 + 15*R = -27

6*(-37 - 9*R) + 15*R = -27

-222 - 54*R + 15*R = -27

-39*R = -27 + 222 = 195

R = 195/-39 = -5

Now we can find the value of A1:

A1 = -37 - 9*R = -37 - 9*-5 = 8

So now we want to calculate the sum of the first eight terms. we already know that the sum of the first six is -27, so we need to add the seventh and the eigth.

A7 = 8 + 6*-5 = -17

A8 = 8 + 7*-5 = -22

Sum = -27 -17 - 22 = -63

What is the surface area of a cube in which each face of the cube has an area of 7 cm??

Answers

Answer:

42

Step-by-step explanation:

6 faces to a cube

each face has area of 7

6*7 is 42

Answer:

42 is correct

Step-by-step explanation:

give the other person brainliest

Solve for the value of p.

2 x p = 34

Answers

Answer:

p = 34/2

p= 17

thank you.

An acute ∆ABC is rotated about a point and then dilated by a scale factor of 0.5 to produce ∆A’B’C’. Which statement correctly compares ∆ABC to ∆A’B’C’.

Answers

Answer:

Option given in the top right.

Step-by-step explanation:

If an acute triangle is rotated about a point,

- Angles of the transformed triangle remain unchanged.

If a triangle is dilated by a scale factor of [tex]\frac{1}{2}[/tex],

- Measure of sides of the image will be dilated by a scale factor of 0.5.

Therefore, statement that compares ΔABC to ΔA'B'C' will be,

The angle measures of the triangle A'B'C'are the same of those ΔABC, but the side length of the ΔA'B'C' half the size of those of ΔABC.

Option given in the top right is the answer.


Let ∠A, ∠B, and ∠C be acute angles. Use a calculator to approximate the measures of ∠A, ∠B, and ∠C to the nearest tenth of a degree.

cos A = 0.31, sin B = 0.89, tan C = 0.52

Answers

Answer:

1. ∠A =  71.9°

2. ∠B =  62.9°

3. ∠C = 27.5°

Step-by-step explanation:

By using a calculator, we have;

cos A = 0.31

sin B = 0.89

tan C = 0.52

1. Therefore, ∠A = cos⁻¹(0.31), inputting the digits in the calculator and looking for the inverse sign, we have;

∠A = cos⁻¹(0.31) = 71.94° = 71.9° to the nearest tenth of a degree.

2. For sin B = 0.89, we have;

∠B = sin⁻¹0.89 = 62.873° ≈ 62.9° with the answer rounded to the nearest tenth of a degree.

3. Similarly, for tan C = 0.52, inputting the values in the calculator and pressing the tan⁻¹ button, we have;

∠C = tan⁻¹(0.52) = 27.474°, which is 27.5° rounded to the nearest tenth of a degree.

An isosceles triangle has an angle that measures 50°. Which other angles could be in that isosceles triangle?
The answer choices are
65°
80°
50°
30°
Plz help

Answers

Answer:

80

Step-by-step explanation:

An isosceles has 2 angles that are the same so 50+50 is 100 so we have 80 degrees left to make a full triangle because all angles will always add up to 180 so 50+50+80 is 180 degrees

50 and/or eighty because it’s an isosceles and that makes it two of the angles the same so the the other has to be fifty and the interior sum of a triangle is 180 always and fifty plus fifty is a hundred so you need eighty to finish it off

How is writing expressions with variables and numbers similar to writing expressions using words?

Whoever answers this first will get brainliest.

Answers

The expressions in which the numbers, or variables, or both, are connected by operational signs (+, - etc.) are called algebraic expressions. For example 5, 4x, a+b, x−y.

Answer:

Sometimes in math we describe an expression with a phrase. For example, the phrase

   "2222 more than 5555"

can be written as the expression

   2+52 + 52+52, plus, 5.

Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression (an expression with a variable).

For example,

   "3333 more than xxxx"

can be written as the algebraic expression

   x+3x+ 3x+3x, plus, 3.

But why? Why use math if we can describe things in words? One of the many reasons is that math is more precise and easier to work with than words are. This is a question you should keep thinking about as we dig deeper into algebra.

Different words for addition, subtraction, multiplication, and division

Here is a table that summarizes common words for each operation:

Operation Words Example algebraic expression

Addition plus, sum, more than, increased by x+3x + 3x+3x, plus, 3

Subtraction subtracted, minus, difference, less than, decreased by p−6p - 6p−6p, minus, 6

Multiplication times, product 8k8k8k8, k

Division divided, quotient a÷9a \div 9a÷9a, divided by, 9

For example, the word "product" tells us to use multiplication. So, the phrase

   "the product of 8888 and kkkk

Let's take a look at a trickier example

Write an expression for "mmmm decreased by 7777".

Notice that the phrase "decreased by" tells us to use subtraction.

So the expression is m−7m - 7m−7m, minus, 7.

What is the solution?

Answers

Answer:

Answer: w=2 and 2=6

Step-by-step explanation:

If you substitute 6 and 2 in for w they both work, making c the correct answer

Step-by-step explanation:

I did the work on a piece of paper and attached the picture.

Hope this helps :)

Anthony played a dart game using the dartboard shown above. Anthony had 5 throws and then added his points. He hit the -6 twice, the 10 once, the 2 once, and the -4 once. How many points did Anthony earn?

Answers

Answer:

- 4

Step-by-step explanation:

The number of points earned by Anthony is the sum of all the individual points earned from the 5 throws. Considering that he had -6 on 2 throws, 10 from one throw, 2 and the -4 from the final set of throws, the total is equivalent to

= -6 - 6 + 10 + 2 -4

= -4

Anthony earned a total of - 4 from the 5 throws.

Brainliest!!!
What is 30 divided by 5?
Really Easy!

Answers

Answer:

6

Step-by-step explanation:

Answer:

The answers 6 gorgious

60. Express - 78 in the form bi where b is a real number.
TIME SENSITIVE‼️‼️‼️

Answers

Answer:

c

Step-by-step explanation:

In a certain Algebra 2 class of 24 students, 6 of them play basketball and 16 of them play baseball. There are 6 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Answers

Answer:

4/24

Step-by-step explanation:

Answer:

4/24

Step-by-step explanation:

Two and a half pounds of Super Nutty granola cost $12. How much does one pound cost?

Answers

Answer:

4.8 dollars for 1 pound super nutty

The watch Bea would like to buy costs $10 less than 2
times the amount she has saved. The watch costs $50.
How much money does Bea have saved?

Could whoever answers pls tell the equation used?

Answers

Answer: Bea has $30 saved

Step-by-step explanation:

Add 10: 50+10=60

Divide by 2: 60/2=30

Consider the quadratic function f(x)= 2(x + 4)² − 6. Does the graph open up or down

Answers

Answer:

up

Step-by-step explanation:

a is positive

Sue biked 5 kilometers each day for 7 days. How many cm did she bike in all?


HELP ASP GIVING YOU 30 POINTS FOR THIS

Answers

Answer:

3,500,000

Step-by-step explanation:

Answer:

Sue biked 3,500,000 centimetres.

Step-by-step explanation:

First, multiply 5 km by 7 (days). 5 × 7 = 35 km

Convert the kilometres to centimetres.

There are 100,000 cm in a kilometer, so multiply:

35 × 100,000 = 3,500,000 cm.

14,500 people are sitting in a stadium. One of them is picked out. What are the chances that the person's birthday is on a Sunday?
Please give an accurate answer

Answers

There are 7 days in a week.

The probability of being on any one day of the week would be 1/7

So the probability of a persons birthday being on a Sunday would be 1/7

Answer:

WELL THERE 7 DAYS IN THE WEEK

Step-by-step explanation:

The data set shows the numbers of hours that employees at a certain shop worked in one week. What is the mean number of hours they worked that week? 30 15 32 48 16 51 30 35 32 31

Answers

Answer:

mean number of hours worked = 32

Step-by-step explanation:

The mean or average of a set of data is the sum of the individual data divided by the number of entries.

Therefore, the mean number of hours worked is calculated as follows:

sum of the number of hours = 30 + 15 + 32 + 48 + 16 + 51 + 30 + 35 + 32 + 31 = 320

Number of entries = 10

mean number of hours worked = sum of the number of hours ÷ Number of entries

mean number of hours worked = 320 ÷ 10 = 32

Someone please help me. ASAP

Answers

Answer:

x = 6

Step-by-step explanation:

we both know you dont wanna know how you just want the answer

Answer:

6

Explanation:
Add like terms and make x alone.

I hope this helps you!!

Jada walks up to a tank of water that can hold up to 10 gallons when it is activated a dream empty water from the tank at a constant rate when Jayda first season take it contain 7 gallons of water three minutes later the tank contains 5 gallons of water at what rate is the amount of water in the tank changing you signed numbers and include the unit of measurement in your answer

Answers

Correct question:

Jada walks up to a tank that can hold up to 10 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 7 gallons of water. Three minutes later, the tank contains 5 gallons of water. At what rate is the amount of water in the tank changing? use a signed number, and include the unit of measurement in your answer.

Answer: - 2/3

Step-by-step explanation:

Given the following :

Amount of gallon tank can hold = 10

tank drains at a constant rate :

First look tank contains 7 gallons

After 3 minute,

Tank contains 5 gallons

Thus signifies a 2 gallon decrease in volume of water after 3 minutes

Therefore, the rate of change =( change in volume) / time

Rate of change = (final volume - initial volume ) / 3

(5 - 7)/ 3 = - 2/3

Need help ASAP. WILL MARK BRAINLIEST

Answers

Answer: 150.80 inches.

Step-by-step explanation:

Answer:

75.36

Step-by-step explanation:

You need to multiply the diameter, 24 by 3.14, and the answer is 75.36.

there are 5 times as many tulips as rose bushes in a garden.there are 15 tulips . how many rose bushes are in the garden/

Answers

Answer:

There are 3 roses in the garden.

Step-by-step explanation:

If there are 5 times as man tulips in the garden as the roses, you would have to count 3, 5 times in order to get 15 which brings us to the answer of 3 roses in the garden.

Order the rational numbers from least to greatest

Answers

It’s the 3rd option. Everything with a - in front of it is smaller than 0.

Answer:

its the 3rd one

Step-by-step explanation:

you find which one is smaller and then you go to the next one up

The following table shows the number of points scored last basketball game by each player on the Dragons basketball team.
Player Number of points scored
Daniela 555
Isabella 888
Rafaela 111111
Beatriz 777
Kalin 99

FIND MAD

Answers

Answer:

[tex]1.6[/tex]                                                                                 - written in [tex]2/12/2021[/tex]

Step-by-step explanation:

The answer is [tex]1.6[/tex] because, [tex]\frac{5+8+11+7+9}{5} = 8[/tex] and [tex]8-5=3[/tex], [tex]8-8=0[/tex], [tex]11-8=3[/tex], [tex]8-7=1[/tex], and [tex]9-8=1[/tex].

So use all the sums and you'll get this: [tex]\frac{3+0+3+1+1}{5} =1.6[/tex]

This is exactly how I got the answer, I also did it on khan because I didn't trust the other person above me, and I got the same answer as him. So I did this to prove he's correct.

Answer:

7.4

Step-by-step explanation:

The value of the square root of 13 is between

Answers

Answer:uhhhhhhhhhhhhhhhhhhh 14

Step-by-step explanation:

how many 1/8 are in 1/2 a cup

Answers

Answer:

Add dem

Step-by-step explanation:

Just add dem and u will get our answer

Answer:

4

Step-by-step explanation:

Add 1/8 until, when simplified, it will equal 1/2:

1/8 + 1/8 = 2/8

2/8 + 1/8 = 3/8

3/8 + 1/8 = 4/8 = 1/2

4 1/8 are needed to get 1/2: (4 * 1)/8 = 4/8 = 1/2

A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.

A. What is the slant height of the pyramid?

B. What is the surface area of the composite figure?

HINT: The surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.

C. How many cubic yards of concrete are needed to make the planter?

Answers

Answer:

Step-by-step explanation:

A) To determine the slant height, we would apply Pythagoras theorem to the right angle triangle formed. The opposite side would be the distance from the center of the pyramid to the center of any side. Therefore

Opposite side = 2/2 = 1 yrd

Slant height, L = hypotenuse

Adjacent side = 2 yrd

Hypotenuse² = opposite side² + adjacent side²

L² = 1² + 2² = 5

L = √5 = 2.24 yrds

Slant height = 2.24 yrds

B) Area of each triangular face = 1/2 × 2 × 2.24 = 2.24

Surface area of 4 triangular faces = 2.24 × 4 = 8.96 yrds²

Surface area of the remaining 5 faces of the cube = 5 × 2² = 20 yrds²

surface area of composite figure = 20 + 8.96 = 28.96 yrds²

C) volume = 1/3 × base area × height

Volume = 1/3 × 2² × 2 = 2.67 yrds³

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