put the steps, for changing the formula for sector area of a circle in degrees to the formula for the sector area of a circle in radians, in the correct order​

Put The Steps, For Changing The Formula For Sector Area Of A Circle In Degrees To The Formula For The

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

The area (A) of a sector is calculated as

A = area of circe × fraction of circle

   = πr² × [tex]\frac{0}{360}[/tex] ← where θ is in degrees

[ note that 360° = 2π radians ], then

A = πr² × [tex]\frac{0}{2\pi }[/tex] ← where θ is in radians

( Cancel π on numerator/ denominator )

A = [tex]\frac{1}{2}[/tex]θr²

Answer 2

9514 1404 393

Answer:

  top down: 2, 4, 1, 7, 6, 5, 3, 8

Step-by-step explanation:

It appears the expected order may be ...

__

Write the formula for a sector area of a circle with central angle, θ, in degrees.

  [tex]\textit{Area of a Sector}=\dfrac{\theta}{360^{\circ}}\cdot\pi r^2[/tex]

Replace 360° with 2π radians.

  [tex]\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}[/tex]

Replace the angle ratio in degrees with the angle ratio in radians.

  [tex]\textit{Area of a Sector}=\dfrac{\theta}{2\pi}\cdot\pi r^2[/tex]

Simplify by cancelling

  [tex]\textit{Area of a Sector}=\dfrac{1}{2}\theta r^2[/tex]


Related Questions

Alejandro has gone to school StartFraction 5 Over 7 EndFraction of the last 35 days. Which expression can be used to determine the number of days Alejandro has gone to school?
35 divided by 7 = StartFraction 5 Over 7 EndFraction
35 times StartFraction 5 Over 7 EndFraction
StartFraction 5 Over 7 EndFraction divided by 35
StartFraction 7 Over 5 EndFraction divided by 35

Answers

Answer:

35 times StartFraction 5 Over 7 EndFraction

Step-by-step explanation:

Alejandro has gone to school (5/7) of the last 35 days.

We need to find the expression that can be used to determine the number of days Alejandro has gone to school.

[tex]x=\dfrac{5}{7}\times 35\\\\=5\times 5\\\\=25[/tex]

So, the correct option is (b) "35 times StartFraction 5 Over 7 EndFraction".

Answer:

(B) 35x5/7

Step-by-step explanation:

A wedding planner she did the 234 gas at a reception so that each table have the same number of guest if each table could see no more than 20 people what is the largest possible number of guest at each table

Answers

Answer:

the largest number of people she can sit at a table is 18.

Step-by-step explanation:

there would be 13 tables

The required possible tables is 13 and the largest number of people she can sit at a table is 18.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

A wedding planner she did the 234 guests at a reception so that each table have the same number of guest if each table could see no more than 20 people.

According to given question we have

Total number of guest=234

i.e  234/13=18 people

The largest number of people she can sit at a table is 18.

The possible tables can arrange to sit the guest is 13.

Therefore, the required possible tables is 13 and the largest number of people she can sit at a table is 18.

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A bag contains 4 red marbles, 8 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that both marbles drawn will be red?

Answers

Answer:

The probability, to the nearest 10th of a percent, that both marbles drawn will be red is 28.5%

Step-by-step explanation:

Number of red marbles = 4

Number of blue marbles = 8

Number of Green marbles = 2

Total number of marbles = 4+8+2 =14

We need to find the probability, to the nearest 10th of a percent, that both marbles drawn will be red?

The formula used will be: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Number\:of\;possible\:outcomes}\\[/tex]

In our case, Number of favourable outcomes = 4 (as red marbles are drawn)

Number of possible outcome = 14 (Total number of marbles)

The probability will be:

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Number\:of\;possible\:outcomes}\\\\Probability=\frac{4}{14}\\ Probability=0.2857\\[/tex]

Now, calculating nearest 10th of a percent

[tex]Probability = 0.2857*100\\Probability=28.5%[/tex]

So, the probability, to the nearest 10th of a percent, that both marbles drawn will be red is 28.5%

In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. Steward scored 5 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Steward scored in each of the second, third, and fourth rounds if he earned a place in the finals?

5 + 3p ≥ 30
5 + 3p ≤ 30
5p + 3 ≥ 30
5p + 3 ≤ 30

Answers

The answer is the third one

Answer:

A) 5+3p ≥ 30

Step-by-step explanation:

The 5+3p has to be greater than 30 to move on to the next round. The student scored 5 points in the first round and since the other 3 rounds he scored the same amount of points, your equation would be 5+3p ≥ 30 :)

If you were to solve this, you would subtract 5 from both sides to find that 3p≥ 25. Divide 25 by 3 to find out that Steward needed to score at least 9 points in each of rounds 2,3, and 4, so a possible solution could be that he earned 5 points in round 1, 9 in round 2, 9 in round 3, and 9 in round 4 for a total of 32, which is enough to qualify for the final round :)

Ahmed works in a factory his normal rate of pay is £12.00 per hour
When ahmed works on sundays he is paid overtime for each hour.The overtime rate of pay is 1 1/4 times his nomal hourly rate. Lat weekend Ahmed worked 9 hours on Saturday and 6 hours on Sunday. Work out how money he earned during that weekend

Answers

Answer:

Ahmed earned £198.00 on that weekend.

Step-by-step explanation:

Given that:

Normal hourly pay = £12.00

Overtime pay = [tex]1\frac{1}{4}[/tex] of normal rate

Overtime pay per hour = [tex]\frac{5}{4}*12[/tex]

Overtime pay per hour = £15.00

Hours worked on Saturday = 9 hours

Amount earned on Saturday = 9*12 = £108.00

Hours worked on Sunday = 6 hours

Amount earned on Sunday = 6*15 = £90.00

Total amount earned on weekend = 108+90 = £198.00

Hence,

Ahmed earned £198.00 on that weekend.

Using the formula for Fahrenheit and Celsius temperatures, F = 9/5 C + 32.
If the temperature is currently 25 degrees F. what is the temperature in C
degrees? Round to the nearest WHOLE number. LABEL

Answers

Answer:

-4 degrees Celsius

Step-by-step explanation:

F = 25

Substitute into formula:  25 = 9/5C + 32

subtract 32 from each side:  -7 = 9/5C

multiply each side by the reciprocal of 9/5, which is 5/9

-7(5/9) = C

C = -35/9 which is close to -36/9 which is -4 degrees Celsius                                        

Please someone help and explain, I don't understand what it means

Answers

Answer:

B

Step-by-step explanation:

you keep adding 2 to your previous answer

Find the equation for parabola
Focus(3,4)
Directrix y=2

Answers

Answer:

Step-by-step explanation:

we know that distance d from the focus to P should be the same to the distance from P to the directrix

(x-h)^2=4p(y-k)

we need to find the y coordinate,

x is the same from focus, 3

y=(3, (4+2)/2)=(3,3)

we find p now by subtracting the y from the focus from the y that we just found

p=4-3=1

again (x-h)^2=4p(y-k), p=1

(x-3)^2=4(1)(y-3)

(x-3)^2=4(y-3),  (x-3)^2=4y-12

simplify

4y=(x-3)^2+12

y=((x-3)^2)/4 + 3

The equation for the parabola would be y = ((x-3)^2)/4 + 3.

How to find the  equation for the parabola?

We already know that distance d from the focus to P must be the same as the distance from P to the directrix

(x-h)^2 = 4p(y-k)

x is the same from focus 3

y = (3, (4+2)/2)

y  =(3,3)

by subtracting the y from the focus from the y that we get

p = 4-3 =1

similalry,

(x-h)^2=4p(y-k), p=1

(x-3)^2=4(1)(y-3)

(x-3)^2=4(y-3),  

(x-3)^2=4y-12

simplify it;

4y=(x-3)^2+12

y = ((x-3)^2)/4 + 3

Thus, the equation for the parabola would be y = ((x-3)^2)/4 + 3.

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Solve for s: -2s < 6
AS3
Se
C) s >=-3
D) S-3

Answers

Answer:

Step-by-step explanation:

here you go mate

step 1

-2s < 6  equation

step 2

-2s < 6  divide the sides by 2

-2s/-2<6/-2

answer

s>-3

HELP THIS IS DUE IN ONE HOUR I NEED A GOOD ANSWER! Each sales associate at an electronics store has a choice of the two salary options shown below.
• $115 per week plus 9.5% commission on the associate’s total sales
• $450 per week with no commission


a. The average of the total sales amount for each associate last year was $125,000. Based on this average, which salary option would result in a higher salary?









b. What is the difference between the two salary options?

Answers

Answer:

a) $450 per week, because you have room to earn more money because the average is sales is $2397.26 per week which the commission for option one would be is $227.74 which means on average people get $ 342.74, so $450 every week is a much higher salary.

b) The differace is that option 1 has the potential to increase by you selling more you can make more but in option 2 you know you will get $450 a week every week and that you would need to sell well above average to make more than $450

match the pair of points with the slope of the line that joins them ​

Answers

Answer:

Step-by-step explanation: use the equation m=(y2-y1/x2-x1)

M=(-5-(-11)/-1-(-8))

M=6/7

It is 6/7 good luck

The Pythagorean triple (5, 12, 13) can't be generated from the identity (x? 1)2 + (2x)2 = (x2 + 1)
which has only one variable, because the length of the hypotenuse (13 units) and the length of the longer
of the other two legs (12 units) are not 2 units apart.
Find a two-variable identity by incorporating a second variable, y, into the single-variable identity. Note
that x > 1, x > y, and x and y are positive integers.
Select the correct answer.
5

Answers

9514 1404 393

Answer:

  A.  (x² -y²)² +(2xy)² = (x² +y²)²

Step-by-step explanation:

As is often the case with problems like this, the correct answer (A) is the only answer that is actually a true equation.

Choices B, C, D are only true if x or y is zero--a violation of the given condition that they are positive integers.


A retailer (GameStop, Target, or other stores) will receive 23% of the sale price of a video game. If a retailer sells
a video game for $60.00, how much money will the retailer receive

Answers

Answer:

$13.80

Step-by-step explanation:

23% of 60 is 13.8, therefore the retailer will receive $13.80 if a $60.00 video game is sold.

I need some help ASAP brainliest will be given.

Answers

there is no solution

Step-by-step explanation:

y+7=3x

6x-2y=12

y=3x-7

6x-2(3x-7)=12

6x-6x-14=12

-14=12

There is no solution.

Pentru sala de mese a scolii s-au adus 12 scaune si 7 mese, plătindu-se 320lei.Știind că 4 scaune costă cât trei mese, află prețul unui scaun și prețul unei mese.

Answers

Răspuns:

Costul scaunului = 15

Costul mesei = 20

Explicație pas cu pas:

Dat fiind:

Să prețul scaunelor = c; pretul mesei = t

12c + 7t = 320 - - - (1)

4c = 3t; c = 3/4 t - - - (2)

Introducerea c = 3 / 4t în (1)

12 (3 / 4t) + 7t = 320

9t + 7t = 320

16t = 320

t = 320/16

t = 20

c = 3 / 4t

c = 3/4 (20)

c = 15

Costul scaunului = 15

Costul mesei = 20

Solve the system of equations by substitution.
x+y=32
y=7x

Answers

Answer:

x=4

Step-by-step explanation:

since y=7x

x+7x=32

8x=32

x=4

Answer:

x=4

Step-by-step explanation:

x+y=32

y=7x

Since Y can be replaced by 7x, substitute into eq1.

x+y( notice y can be replaced by 7x) =32

x+7x=32 ( Y got replaced

8x=32

Divide 8 on both sides.

x=4

Hope this helps plz hit the crown :D

Need answer asap pls..........

Answers

Answer:

Try B

Step-by-step explanation:

Jo got 16 out of 20 on her test. What is Jo's grade? Did she pass? Explain how you got your answer.​

Answers

Answer:

16/20 is 80

Step-by-step explanation:

What is the number that JO would pass at. I think Jo has passed and I got my answer because when u do 16 divided by 20 you get 0.8 and that is 80

Keisha's selling pumpkin pie for 9.99. She always gives every customer a 5% of coupon. How much does the pumpkin pie cost now? PLZ HELP I WILL AWARD BRAINLIEST

Answers

Answer:

4.99

Hope I helped

Answer:

$9.49

Step-by-step explanation:

9.99*0.05=0.4995

9.99-0.4995=9.4905

Help plsssssss.................

Answers

Answer:

B

Step-by-step explanation:

you do 0.74 + 0.18 and then subtract 0.8

You don't have to give reasons please help soon

Answers

Answer:

heyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Answer:

52

Step-by-step explanation:

angle R is a right angle which is 90°

if you add angle S and angle R you get angle PQS because sum of two opposite interior angle is equal to it's exterior angle

34°+90°=x+72°

124°=x+72°

x=124°-72°

x=52°

help pls. it would be much appreciated

Answers

Step-by-step explanation:

By Sine rule, BC/sin93° = 11/sin42°.

Therefore BC = 16.4.

The graph below shows the cost C for bowling g games at Strike King. Another bowling center, Thunder Alley, charges $2.25 per game.


At what point do the graphs of Strike King (shown) and the graphs of Thunder Alley (not shown) intersect? Explain why this is always the case for proportional relationships.

Answers

Answer:

They intersect when the Strike king is at (9,15.75) and Thunder Alley is at (7, 15.75). But only the X axes intersect. The X and Y axes intersect at (0,0) that's where they start and that is where they meet. Its a proportional relationship because their ratios are equivalent. It represents the constant of proportionality.

Step-by-step explanation:

please help me find the value of x!!

Answers

Answer:

I wanna say "5"

Step-by-step explanation:

pluging in 5 for every X should get you

15

Which expression below does NOT equal 54?
O A. 3 x 3 x 6
O B. 2 X 3 X9
C. 2 X 3 X 3 X 3
O D. 2 x 2 x 2 x 6

Answers

The answer is D
A=54
B=54
C=54
D=48
Merry Christmas

Ripley’s Aquarium charges $29.95 for (a) adults and $13.95 for (c) children. Write an expression to represent admission pricing

Answers

Answer:

T=29.95a + 13.95c

Step-by-step explanation:

For this equation let a=amount of adult tickets, c=amount of children tickets, and T=the total cost. Since each adult ticket costs 29.95 dollars that needs to be multiplied by the number of adult tickets to see how much was spent on adults, the same goes for the price and number of children tickets. Finally, both of those totals need to be added together to see how much is spent overall for all of the guests.

how would you multiply negative numbers? or negative fractions for example -12 x 12 is what and please explain good

Answers

Answer:-12 x 12 =- 144.

What you do is multiply regularly then add the negative sign, but if your multiplying  2 negatives it’s a positive answer. I cant help with the Fractions caz I’m not good at them lol .

A soccer field is 120 yards long and 60 yards wide. How long is the diagonal of the field?

Answers

Answer180 yards long

180

Step-by-step explanation:

Roger and his sister started watching a cartoon movie at 2:45 P.M. The movie was 2 hours and 15 minutes long. After the movie, they played a card game for 45 minutes and then played soccer in the backyard for 2 hours and 30 minutes. What time was it when Roger and his sister finished playing soccer?

Answers

Answer:

08:15 pm

Step-by-step explanation:

2:45 + 2:15 + 0:45 + 2:30

=8:15

Eight teams of high school students helped clean up trash in the community.
Afterwards, they shared 55 pizzas equally.
How many pizzas did each team get?

Answers

6.875


55 divided by 8 is 6.875
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