The area of a circle of radius 1 is π units squared. Use scaling to explain why the area of a circle of radius r is πr^2 units squared.

Answers

Answer 1

The area of a circle that has a radius that is given as r is πr² units², while if the raidus is r, its area would be π units².

What is the Area of a Circle?

Area of circle = πr², where radius is r.

Thus, given that a circle has radius (r) = 1 units

Area of the circle = π(1²) = π units²

If the radius is given as r, the area of the circle remains as πr².

Therefore, the area of a circle that has a radius that is given as r is πr² units², while if the raidus is r, its area would be π units².

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Related Questions

The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle.​

Answers

Answer:

perimeter L = 35 - w

Step-by-step explanation:

L × W = 300 : area , L is the length and W is the width. 2 L + 2 W = 70 : perimeter L = 35 - w : solve for L (35 - W) × W = 300 : substitute in the area equation W = 15 and L = 20 : solve for W and find L using L = 35 - w.

Hope it helps!!!Brainliest pls!!!

The figure shows triangle POR and line segment AB, which is parallel to QR:
А - В
o
R
Part A: Is triangle POR similar to triangle PAB? Explain using what you know about triangle similarity (5 points)
Part B: Which line segment on triangle PAB corresponds to line segment QR? Explain your answer. (3 points)
Part C: Which angle on triangle PAB corresponds to angle Q? Explain your answer. (2 points)

Answers

Answer:

  A: the triangles are similar

  B: AB corresponds to QR

  C: ∠PAB corresponds to angle Q

Step-by-step explanation:

A line segment parallel to the base of a triangle will create a similar triangle. The AA similarity postulate can be used to conclude that.

__

Part A:

The triangles PQR and PAB are similar. This derives from the fact that angle P is in both triangles, and corresponding angles PAB and PQR are congruent. The AA congruence postulate applies.

__

Part B:

Based on the similarity statement, segment AB corresponds to segment QR.

__

Part C:

Transversal PQ crosses parallel lines AB and QR at points A and Q, respectively. The corresponding angles are PAB and PQR.

The ratio of red cars to blue cars in a parking lot was 5:3. If there were 40 red cars, how Many blue cars were there?

Answers

Answer:

Order your units (just to help),

Make sure your units are systematized in the order given.

Red cars            5                   40

__________   __________ = __________, now we solve for x;

Blue cars           3                     x

5/3 = 40/x

multiply by x on both sides

5/3x = 40

Then divide by 3/5 from both sides (multiplying by 3/5)

x = 24

WILL MARK BRAINLIEST

For each ordered pair, determine whether it is a solution to 2x-7y=-11.

Answers

Answer:

(-3,4)--No

(-9,-1)--Yes

(8,-2)--No

(5,3)--Yes

This is your answer...

Hope you have a great day!

i need help please 12.54 + 28.68

Answers

Answer:

41.22

Step-by-step explanation:

12+28 = 40

0.54 + 0.68 = 1.22

40 + 1.22 = 41.22

Answer:41.22

Step-by-step explanation:

Kelsey bought some roses and tulips.She bought twice as many tulips as roses. Roses cost $5 each. Tulips cost $2 each .Kelsey spent $36 total. How many of each kind of flower did Kelsey buy ?

Answers

Answer: 4 roses and 8 tulips.

Step-by-step explanation: Each rose costs $5, so she bought 4 of them, which is $20 so far.  Since she already bought 4 roses, she bought twice that amount for tulips, which is 8.  Each tulip costs $2, so that's $16.  Add both $20 and $16 and you have $36.

Hope this helps! :)

question is in the picture

Answers

The answer is D
4 divided by 5 is 0.8

Answer:

D. 0.80

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

For the function below, find (a) the critical numbers; (b) the open intervals where the function is increasing; and (c) the open intervals where it is decreasing
toxx ?
f(x)= 3%
X-X-112x - 4
(a) The critical number(s) is/are -
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
(b) on which intervals is the function increasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. Increasing on
(Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
OB. Never increasing
(c) On which intervals is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
ОО
A. Never decreasing
B. Decreasing on
(Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression, Vse a comma to senartowo

Answers

Step-by-step explanation:

We must do the first derivative test. Here is the steps:

Step 1: Differentiate the polynomial once

we get

[tex]2 {x}^{2} - 2x - 112[/tex]

Step 2: Set this equal to zero and solve for x.

[tex]2 {x}^{2} - 2x - 112 = 0[/tex]

[tex] {x}^{2} - x - 56 = 0[/tex]

[tex](x - 8)(x + 7) = 0[/tex]

[tex]x = 8[/tex]

[tex]x = - 7[/tex]

The solutions are your critical points.

So our critical points are (8,-7).

Step 3: Plot -7 and 8 on a number line. First, pick a number lesser than -7 and plug plug in the derivative function.

Let use -10.

[tex]( - 10 - 8)( - 10 + 7) = 54[/tex]

Since that number is positive, this means are increasing when (-oo,-7)

Next, pick a number greater than 8. Let use 9.

[tex](9 - 8)(9 + 7) = 16[/tex]

Since that is positive, the interval is increasing whe (8,oo)

C. If we pick a number in between -7 and 8, we will get a negative number which means the function is decreasing on interval (-7,8)


Pauline withdrew $7.50 from her savings account every day for 3 days. Which expression is the best choice to help her determine the total amount of money she withdrew? (5 points)
(7.50)(−3) = −22.50; she withdrew $22.50
(−7.50)(3) = −22.50; she withdrew $22.50
(−7.50)(−3) = 22.50; she withdrew $22.50
(7.50)(3) = 22.50; she withdrew $22.50

Answers

Answer:

it would be b because it (-) the money not the days

Answer:

The answer is B

(−7.50)(3) = −22.50; she withdrew $22.50

A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 15.3 gallons. What is the average rate of flow of the gasoline into the gas tank? (Round your answer to one decimal place.)

Answers

Step-by-step explanation:

first what is the time

3:40 - 3:44

that is 4 minutes

4 min = 15.3 g

rate per min

we need to get 4 min to 1

so

answer below i will mark

FASTEST ANSWER WITH STEPS FOR PROOF GETS BRAINLIEST

Answers

g(x + 5) = -(-6-x)/(4x+17)
Proof

5 1/4 divided by 5/8?

Answers

Answer:

8 and 2/5

Step-by-step explanation:

What leads many observers to assume a linear progression?

Answers

The thing that makes a  lot of observers to assume a linear progression is  due to technology and social growth that are said to be are directly proportional.

They can also Assume linear progression  when the observers see that the change that is taking place with one variable is said to be proportion with the another variable

What is linear progression?

A linear  development is known to be a process where a thing do changes, alter or progresses rightly from one phase to another.

Linear Growth or development is known to be the quantity that increases linearly if it increases by a constant amount for each unit per time

Learn more about  linear progression  from

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As part of a survey, 75 people were asked to name their favorite sport. The results showed that 25 of the people named basketball as their favorite sport. What percentage of the people in the survey named basketball as their favorite sport?

Answers

Answer:

%33.33 repeating

Step-by-step explanation:

because 75 divided by 25 is 3 so it is 1/3

ерес The amount of money in an investment is modeled by the function A(t) = 700(0.8353)'. The variable A represents the investment balance in dollars, and t the number of years since 2001. (A) In 2001, the balance was $ 700 (B) The amount of money in the investment is Select an answer Porr ra (C) The annual rate of change in the balance is 0 %. Enter an integer or decimal nimber more. (D) In the year 2011 the investment balance will equal $ Round answer to the nearest penny.. Licens Points possible: 1 Unlimited attempts.​

Answers

The function of the amount of money is an illustration of an exponential function

The initial balance of the investment is $700, and the rate is 83.53%

How to interpret the function?

The function of the amount of money in the investment is given as:

[tex]A(t) = 700(0.8353)^t[/tex]

The above function is an exponential function, and an exponential function is represented as:

[tex]A(t) = ab^t[/tex]

Where:

a represents the initial value, and b represents the rate.

By comparison, we have:

a = 700

b = 0.8353 = 83.53%

Hence, the initial balance of the investment is $700, and the rate is 83.53%

Read more about exponential functions at:

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pls help I suck at math

Estimate the difference by rounding each fraction or mixed number to the nearest half or whole.

Answers

Answer:

[tex]2\frac{1}{2}[/tex]

Step-by-step explanation:

3 1/8 is equal to 3.125

7/12 = 0.5833333333333333333333333333 (goes on forever)

3.125-0.58333333 = 2.54166667

This round to 2.5

2.5 as a mixed number is [tex]2\frac{1}{2}[/tex]

Answer:

Step-by-step explanation:

We have to use method of estimation!!

[tex]3\frac{1}{8}[/tex] ≈ 3

[tex]\frac{7}{12}[/tex] ≈ [tex]\frac{1}{2}[/tex]

3 - [tex]\frac{1}{2}[/tex] = 2[tex]\frac{1}{2}[/tex]

i need help fo this!!!!

Answers

answer: x=5

explanation: a triangle equals 180 degrees. subtract 88 from that and you have 92. both missing angles are equal so divide 92 by 2 and get 46. your equation will be 9x+1=46 subtract 1 from both sides. divide both sides by 9 and get x=5

What’s the answer please help.

Answers

Answer:

i think its the last one

here a subtraction problem that has been solved incorrectly 21-9=11 what answer I got b 11+9=20​

Answers

The Answer:

21 - 9 = 12, not 11.

explanation:

It is not much else to say here, so straightforward, the answer lies above.

Therefore,

you are correct. 11 + 9 = 20 - 9 = 11, which is correct for the given equation.

∠A and ∠B are complementary. The measure of ∠A is 21°.

What is the measure of ∠B?

Enter your answer in the box.
point theif = ban beee

Answers

Question↷

∠A and ∠B are complementary. The measure of ∠A is 21°.

What is the measure of ∠B?

Answer↷69°Given↷Two complementary angles ⤿∠A & ∠B∠A⤿21°To find↷Measure of ∠BSolution ↷

we know that,

sum of two complementary angles ⤿90°

ATQ,

⤿∠A +∠B = 90°⤿21° + ∠B = 90°⤿∠B = 90° -21°⤿∠B = 69°

Answer:

[tex]\displaystyle 69° = m\angle{B}[/tex]

Step-by-step explanation:

Complementary Angles sum up to ninety degrees, so do the following:

[tex]\displaystyle 90° = 21° + m\angle{B} \\ \\ 69° = m\angle{B}[/tex]

I am joyous to assist you at any time.

James can do a job in 1.5 hours. Jane can do the same job in 1 hour. How long will it take them to do the job if they work together?

Answers

Answer:

0.5 hours

Step-by-step explanation:

If Jams does a job in 1.5 hours, it will take less time for both of them to work together, hence, taking 30 minutes

TEAMWORK MAKES THE DREAM WORK!

It would take the 30 minutes

I don't know how to do this can someone please help me?

Answers

Given - diameter = 98 cm

So radius = 98/2

=> radius = 49 cm

Area of circle = πr^2

=> Area of circle = 22/7 * 49 * 49

=> Area of circle = 7,546 cm^2

PLEASE MARK AS BRAINLIEST

Answer:

The area of a circle is

Step-by-step explanation:

The area of a circle is got by

Given that radius is 49,

Area will be π which equals 3.14 49 multiplied by square radius.

That's calculated as 3.14×49×49 =7,539.14

Answer rounded to the nearest hundreds equals 7500.

End of the answer.

Dear learner I can further assist with your homework should need be and I am available on plus one six one nine five five eight two one four zero.

30. On February 1, the temperature at a ski resort in
Montana was 6° Fahrenheit. How many degrees Celsius
is this temperature?

Answers

Answer:

-14.4444°C

Step-by-step explanation:

(6°F − 32) × 5/9 = -14.44°C

help with this question

Answers

Answer:

66

Step-by-step explanation:

2x+45+40+77+x=360

3x+162=360

-162=-162

3x=198

198/3

66

Angles 1 and 2 are supplementary.

2 lines intersect to form angles 1 and 2.
Which equation represents the relationship between their measures?

mAngle1 + mAngle2 = 90°
mAngle1 + mAngle2 = 100°
mAngle1 + mAngle2 = 180°
mAngle1 + mAngle2 = 200°

Answers

Answer:

mAngle1 + mAngle2 = 180°

Step-by-step explanation:

Knowing that:

Supplementary angles are 180 degree

Solve:

The only one with 180 is the third one.

Thus, the answer is mAngle1 + mAngle2 = 180°

~Lenvy~

Answer:

mAngle1 + mAngle2 = 180°

Step-by-step explanation:

edge 2022

Annie’s reading class begins at 8:35 and lasts 1 hour and 45 minutes. What time is her reading class over

Answers

Answer:

10:20

Step-by-step explanation:

Look at the picture and solve. Please! Need ASAP, show work ect.

Answers

Answer:

1. X=1 and y=3

2. x=6 and y=11

Step-by-step explanation:

1. 2x+1= y

2y=6

y=3

y=2x+1

3=2x+1

2/2=2x/2

x=1

2. y-3=x+2

y=x+5

x+5=2x-1

6=2x-x

x=6

y=6+5

y=11

which is a line of symmetry?

Answers

The 3 line is the line of symmetry
Line 3 is the answer

f(n)

{n/2 if n is even

{3n+1 if n is odd

Answers

Answer:    N → N/2 ( if N is even) N → 3N + 1 (if N is odd) i.e. If N is even, divide it by 2 to get N/2. If N is odd, multiply it by 3 and add 1 to obtain 3N + 1. It is conjectured but not yet proven that no matter which positive integer we start with; we always end up with 1

Answer:

Isn't this the Collatz Conjunction

Step-by-step explanation:

Precision manufacturing: A process manufactures ball bearings with diameters that are normally distributed with mean 24.4 millimeters and standard deviation 0.07 millimeter. Round your answers to at least four decimal places. (a) What proportion of the diameters are less than 24.3 millimeters? (b) What proportion of the diameters are greater than 24.6 millimeters? (c) To meet a certain specification, a ball bearing must have a diameter between 24.2 and 24.5 millimeters. What proportion of the ball bearings meet the specification? Part: 0 / 30 of 3 Parts Complete Part 1 of 3 What proportion of the diameters are less than 24.3 millimeters? The proportion of the diameters that are less than 24.3 millimeters is .

Answers

Answer:

Z = x - µ / ∂

  = 24.2 – 24.6 / 0.07

   =-0.4/ 0.07

  = -5.71

Step-by-step explanation:

Solution:

Mean = µ = 24.4mm

Standard deviation = ∂= 0.07 mm

(a) Diameter less than 24.3 mm

P(x < 24.3)

The formula for normalized z value:

Z = x - µ / ∂

  = 24.3 - 24.4 / 0.07

  = - 0.1 / 0.07

 = -1.4286

P(z  < -1.428) = 1 – p ( z > -1.428)

                       = 1 – p( z < 1.42)

                         =1 – 0.4233

                         = 0.5767

(b) Diameter greater than 24.6 mm

P( x > 24.6)

The formula for normalized z value:

Z = x - µ / ∂

  = 24.3 – 24.6 / 0.07

   =-0.3 / 0.07

   = - 4.285

P( z > -4.285) = 1 – p(z < -4.285)

                        = 1 – p ( z > 4.285)

                        =

(c) Diameter between 24.2 and 24.5 mm.

P(x > 24.5)

Z = x - µ / ∂

  = 24.5 – 24.6 / 0.07

   =-0.1/ 0.07

   = -1.4286

P(z  < -1.428) = 1 – p ( z > -1.428)

                       = 1 – p( z < 1.42)

                         =1 – 0.4233

                         = 0.5767

P(x < 24.2)

Z = x - µ / ∂

  = 24.2 – 24.6 / 0.07

   =-0.4/ 0.07

   = -5.71

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