explain how the diagram can help find the area of a circle

Explain How The Diagram Can Help Find The Area Of A Circle

Answers

Answer 1

Answer:

Step-by-step explanation:

This is a really famous diagram!  The circle has been divided into many wedges (think slices of pizza!).  The wedges have been colored alternately blue and yellow, then the wedges were rearranged to form a "rectangle" -- well, it's approximately a rectangle because the wedges have arcs (pieces of a circle) on them.  See how the bottom and top edges of the rectangle look bumpy?

The area of the "rectangle" is approximately [tex]\pi r^2[/tex] .  The reason is that the height of the rectangle is  r , the radius of the circle.  And the length of the rectangle is about [tex]\pi r[/tex] -- half the circumference of the circle.  It's half because the circumference is in the bumpy parts of the wedges--half blue, half yellow.

The approximation improves as the number of wedges increases.  In fact, as the number of slices (sorry, pizza again) gets larger, the length of the rectangle gets closer and closer to half the circumference.  In other words, making more wedges makes the rectangle less bumpy!


Related Questions

Answer this for me please.

Answers

The answer is x=-5 and x=1
Explanation: you just look where the line crosses the x axis which is left to right

anyone know the answer

Answers

Answer:

I DONT KNOW SOORY

Step-by-step explanation:

jbjnmbgkuyhjn

help plz with Algebra question I attached a file

Answers

Answer:

x=4.63

Step-by-step explanation:

Area = (1/2) (base) (height)

20 = (1/2) (x+4) (x)

40 = x²+4x

x²+4x-40=0

Put in quadratic equation:

x=[tex]\frac{-4(+/-)\sqrt{4^{2}-4(1)(-40) } }{2(1)}[/tex]

x=[tex]\frac{-4(+/-)\sqrt{176} }{2}[/tex]

x=4.63324958071 or x=-8.63324958071

Since x can't be negative in this case we take our answer to be 4.63324958071, which rounds to 4.63

WILL GIVE BRAINLIEST to whoever solves this entire problem (completes all the steps). I WILL REPORT if you just steal the points without giving an answer. I know this is really long but I really need help on this and am low on time. To whoever answers this, thank you so much, you are a life saver.

We created this inequality to represent how Amy can meet her revenue goals:

-100x2 + 15,750x + 212,500 ≥ 243,600

In this activity, you’ll solve this inequality to find the minimum ticket price Amy should charge to meet her minimum revenue goal.

Step 1: set the inequality greater than or equal to zero
Step 2: simplify the inequality by dividing by the GCP so the leading coefficient is positive
Step 3: factor the left side of the inequality by grouping
Step 4: solve the quadratic inequality. Remember to check any possible solutions for viability.
Step 5: what is the minimum number of $2 increases that Amy needs to apply to the ticket price to reach her desired revenue?
Step 6: What’s the minimum ticket price that Amy can charge and reach her goal? Recall that the ticket price is represented by 25 + 2x, where x represents the number of $2 increases.

Seriously thank you to anyone who does this. I am low on time and this helps a bunch.

Answers

Trust me these are the correct answers :)

Answer:

Part A: -100x2 + 15,750x − 31,100 ≥0

Part B: 2x2-315x+622 ≤0

Part C: (2x-311)(x-2) ≤0

Part D:2 ≤ x ≤ 155.5

Part E: We know x = number of $2 increases. So, from the compound inequality, 2 ≤ x ≤ 155.5, we can conclude that the minimum possible value of x is 2.

Part F: 29

1/2 ÷ 3 = 4 2/3 ÷ x. Solve the proportion​

Answers

Answer:

x=28

Step-by-step explanation:

i hope my answer is correct. it's been a while since i've done this.

The area of a triangle is 174 square inches. The base is 29 inches. What is the height in inches? Do not include units in your answer.

Answers

Answer:

Your answer would be 6

Step-by-step explanation:

Area=174

Base=29

174 divided by 29

Equals 6

6 times 29

Equals 174

So since 29 times 6 gave you 174 which is your area, your answer would be 6 since it is the missing height to your problem.

:)

Answer: 12

Step-by-step explanation:

We can use the formula for the area of a triangle, to help us find the height:

Area=12⋅b⋅h

Using the formula for area, we can solve for the height by plugging in the information we have about the area and the base:

174=12⋅29⋅h

Isolate h by multiplying both sides by 2 and dividing both sides by 29.

hh=2⋅17429=12

The height is 12 inches.

6x+2+11x+8=180 what's the value of x?

Answers

17x+10=180
-10 -10
——————-
17x=170
————
17 17

x=10

Answer:

x=10

Step-by-step explanation:

For an F distribution, find the following:

(a) f 0.25,825
(b) f 0.10,12,15
(c) f 0.01,12,6

Answers

Answer:

1.39 ; 2.02 ; 2.90

Step-by-step explanation:

From the F - distribution calculator

F0.25, 8, 2 ;

u = 8 ; v = 25 ; cumulative probability = 1 - 0.25 = 0.75

F value = 1.39

F0.10,12,15 :

u = 12 ; v = 15 ; cumulative probability = 1 - 0.10 = 0.90

F value = 2.02

F0.01,12,6

u = 12 ; v = 6 ; cumulative probability = 1 - 0.01 = 0.90

F value = 2.90

ASAP HELPPP NO LINKS! IF THIS IS A FALSE RESPONSE I AM REPORTING

A water cooler in the school office dispenses cone-shaped paper cups. The height of a cup is 5 inches and it has a radius of 2 inches. How many cubic inches of water will it take to fill up the paper cup? Round your answer the nearest hundredth.

Answers

Answer:

37.699 cubic inches of water

Step-by-step explanation:

Volume of a cone is V= 1/3 pi r^2 h

We are given that the height is 5 in and the radius is 2 in.

Plug that into the formula: V= 1/3 pi 2^2 9

1/3 x 4 x 9 = 12

Now we are left with 12 pi.

Use a calculator and multiply 12 by pi to get:

37.699

Last year, Manual opened an investment account with $5400. At the end of the year, the amount in the account had increased by 28.5%. How much is this increase in dollars? How much money was in his account at the end of last year?​

Answers

See below hope it helps

Answer:

Increase in dollars = $1,539

Balance in the account at the end of the year = $6,939

Step by step explanation:

5400*.285=$1539

So increase in dollars is $1,539


That is the money growth. Now add to initial balance to find the account total after the end of the year

5400+1539=$6,939

Money in the account at the end of the year $6,939

A set of two or more equations with the same variables is called a system of equations. When you set the
two expressions that are equal to the same variable equal to each other, like you did in the previous lesson,
you are using the Equal Values Method of solving a system of equations. Use the Equal Values Method to
solve the following problem.
It is time to cool off on a hot summer day! Team Sunshine is filling an inflatable kiddie pool from a garden
hose. The pool has 30 gallons in it and Team Sunshine is adding 8 gallons per minute with a garden hose.
Next door, Team Breeze's pool is already filled with 180 gallons of water. They are emptying the pool at 5
gallons per minute with buckets.
Write two equations to represent the situation. Use the equations to find how long it takes until both pools
have the same amount of water. Check your calculations.

Answers

Answer:

Both pools will have the same amount of water after 11 minutes and 32 seconds.

Step-by-step explanation:

Since Team Sunshine is filling an inflatable kiddie pool from a garden hose, and the pool has 30 gallons in it and Team Sunshine is adding 8 gallons per minute with a garden hose, while next door, Team Breeze's pool is already filled with 180 gallons of water, and they are emptying the pool at 5 gallons per minute with buckets, to determine how long it will take until both pools have the same amount of water, the following calculation must be performed:

Team Sunshine:

30 + (8X) = T

30 + 8x10 = 110

30 + 8x11 = 118

30 + 8x12 = 126

30 + 8x11.5 = 122

30 + 8x11.6 = 122.8

30 + 8x11.55 = 122.4

30 + 8x11.54 = 122.3

Team Breeze:

180 - (5X) = T

180 - 5x11 = 125

180 - 5x12 = 120

180 - 5x11.5 = 122.5

180 - 5x11.6 = 122

180 - 5x11.55 = 122.25

180 - 5x11.54 = 122.3

1 = 60

0.54 = X

0.54 x 60 = X

32.4

Thus, both pools will have the same amount of water after 11 minutes and 32 seconds.

PLEASE HELP!!!!!!!!!!!!! ILL GIVE YOU BRAINLEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

73 is the correct answer

Step-by-step explanation:

I would pick 3 and 6

or C and F

What is the diameter of a circle with a circumference of 132 ft? Use 227 for π . Round your answer to the nearest whole number.

Answers

Answer:

The answer is 132 feet

Step-by-step explanation:

That's the diameter.

C = pi * d

C = 3.14 * 42

C = 131.88

Thar rounds to 132 feet.

Let the universal set U = {q, r, s, t, u, v, w, x,
y, z}; with
subsets A = (q, s, u, w, y); B = {q, s, y, z}; and C={v, w, x, y, z).
List the members of the indicated set, using set braces.
AUB​

Answers

AUB means adding all the members of set A and all the members of set B
A=(q,s,u,w,y) + set B=(q,s,u,y,s)
Therefore,AUB =(q,s,u,w,y,z)

f(x) = x²+1
What is f(f(x))?

Answers

Answer:

f(f(x)) = x⁴ + 2x² + 2

Step-by-step explanation:

if f(x) = x² + 1, then f(f(x)) is equal to:

f(x)² + 1

= (x² + 1)² + 1

= x⁴ + 2x² + 1 + 1

= x⁴ + 2x² + 2


The width of a rectangle is 7t-4.5 feet and the length is 4.5t+9 feet. Find the perimeter of the
rectangle

Answers

Answer:

P=2L+2w

P=2(4.5t+9)+2(7t-4.5)

P=9t+18+14t-9

P=23t+9 feet

Factor the expression

10x + 25

A. 2(5x + 10)
B. 5(2x + 5)
C. 10(x + 5)
D. 5(2x + 25)

Answers

Step-by-step explanation:

The correct answer is ''B. 5(2x + 5)''

Tatia is helping her mother make pancakes. Tatia's mother told
her to put 6 half-cups of pancake mix into the bowl. How much
pancake mix is in the bowl?

Answers

There are 3 cups of pancake mix in the bowl

Emily bought a pack of pencils. Before she sharpened them, she measured one pencil and it was 0.22 m long When she sharpened one, she shaved off 1.2 cm. How many centimeters is her sharpened pencil?​

Answers

Answer:

20.8cm

Step-by-step explanation:

1 meter is 100cm

.022m is 22cm

22cm-1.2cm=20.8cm

URGENT WILL GIVE BRAINLIEST

Answers

Answer:

It's either C or D, I'm thinking C, but I don't know for sure. Sorry for the delay

Question 4 Incorrect answer. Incorrect. Try again. Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measured in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in x Overscript bar EndScripts Subscript 1 Baseline equals 289.30 and and another random sample of 16 gears from the second supplier results in x Overscript bar EndScripts Subscript 2 Baseline equals 321.50 and Is there sufficient evidence to conclude that the variance of impact strength is different for the two suppliers

Answers

Answer:

Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers

Step-by-step explanation:

The given data is

Sample1 mean = x1` = 289.3

Sample 1 size = n1= 10

Sample 1 std. dev= s1= 22.5

Sample2 mean = x2` = 321.5

Sample 2 size = n2= 16

Sample 2 std. dev= s2= 21

1)Formulate the null and alternate hypothesis as

H0: σ₁=σ₂ against the claim Ha: σ₁ ≠σ₂

2)The test statistic is

t= (x1`- x2`) / √ s1²/n1+ s2²/n2

where degrees of freedom = d.f=

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

3) the significance level chosen is ∝= 0.05

4) Calculating the d.f

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

    = [21²/10 + 22.5²/16] / [(21/²10)² /9 + (22.5²/16)²/15]

= 18

5) the critical region for ∝= 0.05 for 18 d.f =  ±2.101 for two sided test

6) t= (x1`- x2`) / √ s1²/n1+ s2²/n2

t= 289.3- 321.5/√21²/10 + 22.5²/16

t= -32.2/√44.1+31.64

t= -32.2/8.0729

t= -3.9886

7) Conclusion

Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers

Brainliest for correct answer

Answers

I think the answer is the last option, 1/2

I hope this is correct and please give brainliest because I am saving for expert and I need 5 more brainliest to get it!

Answer:

1/2

Step-by-step explanation:

Scale factor = (new figure measurement)/(original figure measurement)

Find IP using pythagorus

IP²=(y[tex]_{I}[/tex]-y[tex]_{P}[/tex])²+(x[tex]_{I}[/tex]-x[tex]_{P}[/tex])²

IP²=(4-(-4))²+(4-2)²

IP²=8²+2²

IP²=68

IP=[tex]\sqrt{68}[/tex]

Find I'P' using pythagorus

I'P'²=(y[tex]_{I'}[/tex]-y[tex]_{P'}[/tex])²+(x[tex]_{I'}[/tex]-x[tex]_{P'}[/tex])²

I'P'²=(2-(-2))²+(2-1)²

I'P'²=4²+1²

I'P'²=17

I'P'=[tex]\sqrt{17}[/tex]

Scale factor = (new figure measurement)/(original figure measurement)

=[tex]\sqrt{17}[/tex]/[tex]\sqrt{68}[/tex]

=1/2

For which color is the difference between the theorectical probability and experimental probability greatest? A. Brown; The experimental probability is 19.52%, and the theoretical probability is 25%. B. Orange; The experimental probability is 18.9%, and the theoretical probability is 15%. C. Yellow; The experimental probability is 16.96%, and the theoretical probability is 20%. D. Green; The experimental probability is 22.7%, and the theoretical probability is 15%.

Answers

Answer: green

Step-by-step explanation:

Please help meeeeeeee

Answers

90 degrees (1st)
36 degrees (2nd)

Find the Mean Absolute Deviation: (MAD)
10, 9, 3, 8, 10.

Answers

Answer: Hey there !! The answer is 2.

Step-by-step explanation:

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

The absolute mean deviation is 2.

What is mean absolute deviation?

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

We have,

10, 9, 3, 8, 10

We first find the mean of 10, 9, 3, 8, 10

Mean = (10 + 9 + 3 + 8 + 10) / 5

Mean = 40 /5 = 8

Data sets

10            | 10 - 8 |     2

9              | 9 - 8 |      1

3              | 3 - 8 |      5

8              | 8 - 8 |      0

10             | 10 - 8 |    2

Mean absolute deviation

= (2 + 1 + 5 + 0 + 2) / 5

= 10 / 5

= 2

Thus the absolute mean deviation is 2.

Learn more about absolute mean deviation here:

https://brainly.com/question/10528201

#SPJ1

Solve the equation. Find all real solutions.
9r3 - 144r = 0

Answers

Answer:

r=0

Step-by-step explanation:

9r x 3 - 144r = 0

27r-144r=0

-117r=0

r=0

Add. Simplify the answer and write it as a mixed number.
1/4+4/5+9/10

Answers

Answer:

39/20 = 1.95

That's my simplified answer

39/20 = 1 19/20

Will this help?

Step-by-step explanation:

Answer:

[tex]1\frac{19}{20}[/tex]

Step-by-step explanation:

Help please question in picture

Answers

Answer:

10 units squared

Step-by-step explanation:

[tex]4(5)=20[/tex]

[tex]\frac{20}{2}=10[/tex]

17 units I think because if you add it all up it equals 17

Harry manages a sales force which sells several products in different sales territories. A random sample of 25 territories were selected and the data is provided in an Excel worksheet labelled Harrys. The variables include total sales credited to the sales representative (Sales), the length of time employed in months (time), the market potential (Poten), the advertising expense for the territory (AdvExp), the market share (Share), the change in market share over the previous three years (Change), the number accounts assigned to the sales representative (accounts), an index representing the workload (work), the rating on the last performance review (rating) and whether it is a star territory (star territories have performed well in the past).
Using the methods discussed in this class, determine the “best” regression model to predict Sales. Write a brief report (less than two pages) summarizing your analysis, including key statistical results, conclusions, and recommendations. Include any appropriate technical material in an appendix.

Answers

Answer:

13,000 i think

Step-by-step explanation:

808 - 589 what is the answer I need help


(I'm just trying to see if anybody here smart)​

Answers

219hhhhhhhhhhhhjjsisusywbs

☁️ Answer ☁️

Find out who owns any 808-589 phone number. Get name, address, relatives, court records for the registered owner. (Nah jk)

The answer is:

219

Explanation: I used my eyes, fingers, and a calculator.

Hope it helps.

Have a nice day noona/hyung

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