The area sector of a circle with radius 7 is 9 π/. What is the radian measure θ, the central angle of the sector? Express your answer in exact form.

Answers

Answer 1

Answer:

Radian angle = 1.154

Central angle = 66.123°

Step-by-step explanation:

Area of Sector, A

A = 1/2 * r² * θ ; θ measured in radian

A = 9 π

r = 7

9 π = 1/2 * 7² * θ

9 π = 24.5θ

θ = 9 π / 24.5

θ = 1.154 radian

1 radian = 57.296°

1.154 radian = (57.296 * 1.154)

1.154 radian = 66.123°


Related Questions

HELP FAST!! IF RIGHT YOU WILL GET BRAINLIST! AND 5 STARS ⭐️
Solve for x.

x - 2(2 - 3/2x)= 2(4-x) + 10


A) -11/3

B) -3/11

C) 11/3

D) 3/11

Answers

Answer: The answer is C 11/3

Isolate the variable by dividing each sides by a factors that don't contain the variable.

Which of the following is not a real number?
O A. V-3
O B. 4
O C. 15
OD. VO

Answers

A

Step-by-step explanation:

Because it's a complex number

Find the slope of the line that passes through the points (0,-5) and (-2,-3).​

Answers

Answer:

the slope is -1

Step-by-step explanation:

formula for slope is (y2-y1)/(x2-x1)

lets say (-2,-3) is (x2,y2)

-3-(-5)=2

-2-0=-2

2/-2=-1

find the measure of angle b (imagine below)

Answers

Answer:97 °

Step-by-step explanation:

83° & b° are a supplementary angle, meaning that they equal 180°. So:

83 + b = 180

b = 97°

A quadrilateral is inscribed in a circle. Find the measure of each missing angle as labeled below. Show your work and/or explain how you got your answer.
1 point for each correct angle measure and 1 point for explaining or showing how you got your answer. Don’t forget to label your answers.

Answers

Answer:

C = 95°

D = 72°

F = 108°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary. Inscribed angles are half the measure of the arc they subtend. (The latter statement can be used to prove the former one.)

Using these relations, we have .

 C = 180° -E = 180° -85° = 95°

 D = 144°/2 = 72°

 F = 180° -D = 180° -72° = 108°

In the app Kami, can the teacher see what time you edited the assginment. Like if i edit it at 3:00 pm, can they see what and how fast i typed?​

Answers

Answer: I don't think so because they can only see it when you turn it in. Trust me I have kami too.

JEEZUS PLEASE HELP ME PEOPLE KEEP TROLLING ME AND NONE OF MY ANSWERS HAVE BEEN CORECTLY ANSWERED, I WILL GIVE MONEY FOR FLIPS SAKE IF YOU HELP!!!!

Answers

Answer:

14. 6 x [tex]10^{17}[/tex]

15. 28.615 x [tex]10^{10}[/tex]

16. I'm so sorry, I'm not sure!

17. 1.26 x [tex]10^{10}[/tex]

18. 1.639 x [tex]10^{-8}[/tex]

19. 2.025 x [tex]10^{17}[/tex]

Hope that helps! I'm sorry if it's wrong, and sorry about all the trouble that has been brought upon you!

-Aphrodite

Step-by-step explanation:

Please help
I’m so confused
Please don’t use the link joke

Answers

Answer:

i think it's 2.2

Step-by-step explanation:

it looks like (5,11) is a point that the line crosses so when you divide 11 by 5, would get 2.2

Triangle abc and xyz are congruent ,/_A is one half the size of /_B,/_y is 90° ./_c and /_z each have a measure of 45°.What is the measure of /_ a?

Answers

Answer:

∠a = 45°

Step-by-step explanation:

We are told that △abc and △xyz are congruent.

Thus;

∠a = ∠x

∠b = ∠y

∠c = ∠z

We are given;

∠y = 90°

Thus, ∠b = 90°

Now,we are told that ∠a is one half the size of ∠b.

Thus; ∠a = ½ × ∠b

∠a = ½ × 90

∠a = 45°

PLEASEE HELPP!!! DUE TODAYY!!!

Answers

Answer:

b 5/12

Step-by-step explanation:

just need answer please help

Answers

Answer:

41 ft

Step-by-step explanation:

We can start by first finding the area of the top square

3*3=9

then we can find the area of the bottom rectangle

4*8=32

then we can add them together

32+9=41

Can I have Brainliest please :)

Answer:

53 [tex]ft^2[/tex]

Step-by-step explanation:

We can find the area of the figure by adding the areas of the square and the rectangle.

Area of square:

3 x 3 = 9 squared ft

Area of rectangle:

4 x (8 + 3) = 4 x 11 = 44

Add the areas:

9 + 44 = 53

The area of the figure is 53 squared feet.

What is the value of -124/?

Answers

Answer:

I think the value of -124 is just 124

Just remove the negative!!

Step-by-step explanation:

Hope this helped!!!

On her 21st birthday, Sydney deposited $400 in a new bank account that earns 3.7% interest compounded continuously. If there are no other deposits or withdrawals, how much interest will she have earned by her 60th birthday

Answers

Answer:

$1,649.80

Step-by-step explanation:

Sydney will have earned $1293.35 in interest by her 60th birthday.

How to find interest?

To solve this problem, we need to use the formula for continuously compounded interest:

A = P [tex]e^{rt}[/tex]

Where:

A is the final amount of money in the account (including principal and interest)

P is the initial principal (in this case, $400)

r is the interest rate (in this case, 3.7% per year)

t is the number of years the money is invested (in this case, 39 years)

e is the mathematical constant approximately equal to 2.718

Plugging in the values from the problem, we get:

A = $400[tex]e^{0.037 \times 39}[/tex]

Calculating this, we find that A = $400[tex]e^{1.443}[/tex] = $1693.35

Therefore, he will have earned $1693.35 - $400 = $1293.35 in interest by her 60th birthday.

To learn more about Compound interest click here:

brainly.com/question/25857212

#SPJ2

Juan decided to start savings for college. He deposited $500 into an account which earns 4% simple annual interest. At the end of each year, he will add $250 to this account. How much will he have in his account after the end of three years?

a
$550
b
$770
c
$1,050.80
d
$1,342.83

Answers

Answer

I am getting a different answer The reason being the first year we calculating the 4% of the initial amount of the $500 towards the end of the year if he deposits the 250 the second year he gets to have a 4% interest of the 750 in total If he deposits the 250 in the 3rd he gets to have a 4% of 1000 So if you actually calculate that and get the total of all the amount which is 1,000 plus the percentages of all that you get what I've shared

9514 1404 393

Answer:

  d  $1342.83

Step-by-step explanation:

At the end of the first year, the account balance will be $500 plus 4% interest on that amount, plus the $250 deposited at the end of the year:

  $500(1.04) +250 = $770

At the end of the second year, the account balance will be $770 plus 4% interest on that amount, plus the $250 deposited at the end of the year:

  $770(1.04) +250 = $1050.80

At the end of the third year, the account balance will be $1050.80 plus 4% interest on that amount, plus the $250 deposited at the end of the year:

  $1050.80(1.04) +250 = $1342.83

_____

Additional comment

You can make an appropriate guess by realizing the total of the deposits is ...

  $500 + 3×250 = $1250

Adding interest to that will increase the amount. The only answer choice greater than $1250 is $1342.83.

x+y<6. y<x. y>1 linear programming (graph)​

Answers

Answer:

432167

Step-by-step explanation: programing

$97 is what percent of $97?

Answers

Answer:  100%

97:97*100 =

(97*100):97 =

9700:97 = 100

Now we have: 97 is what percent of 97 = 100

Question: 97 is what percent of 97?

Percentage solution with steps:

Step 1: We make the assumption that 97 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=97$.

Step 4: In the same vein, $x\%=97$.

Step 5: This gives us a pair of simple equations:

$100\%=97(1)$.

$x\%=97(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{97}{97}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{97}{97}$

$\Rightarrow x=100\%$

Therefore, $97$ is $100\%$ of $97$.

Answer:

100%

Step-by-step explanation:

The length of a rectangle can be rpresented by the expression x+6. If the area of the rectangle is 2x^2+8x-24, what is the expression for the width.

Answers

Answer:

2(x − 2)

Step-by-step explanation:

The length of a rectangle can be rpresented by the expression x+6. If the area of the rectangle is 2x^2+8x-24, what is the expression for the width.

The formula for the area of a rectangle = Length × Width

Area of the rectangle = 2x² + 8x - 24

Length = x + 6

We can find the width of the rectangle be factoring the Area

Hence, factorising

2x² + 8x - 24

= 2(x − 2)( x + 6)

Therefore, the Width of the rectangle =2(x − 2)

AHH IM BEGGING OMG YOU DONT KNOW HOW IMPORTANT THIS IS I WILL GIVE BRAINLIEST AND I WILL BE FOREVER GREATEFUL PLSSSSS

Owen can type 30 and 2/3 words in 2/35 of a minute. What is his rate in words per minute?

Answers

Answer:

Owen can type 536 2/3 per minute

Step-by-step explanation:

let me know if this is wrong

Plzz help i been asking this question for way too long

Answers

Step-by-step explanation:

we know that that the stickers are 1 inch long and 1 inch wide.

We also know that 1x1=1

There are also 3 stickers.

1x3=3

3 is your area.

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HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

The answer to your question would be...

D. $8.15

Answer:

D. 8.15

Step-by-step explanation:

8.25 times 10 = 82.5

82.5-6.5=76

76+5.5=81.5

81.5/10=8.15

Hi guys can you answer this question​

Answers

Answer:

160403.47

Step-by-step explanation:

Please mark as brainliest

7.32*600=4392

4392*0.56= 2459.52

2459.52*3= 7378.56

7378.56/3.45=2138.71

2138.71*75= 160403.47

Answer:

28.5161739131

hope this answer helps you.....

The volume of a cylinder is 980 in cubed.
The height of the cylinder is 20 in. What is the radius of the cylinder?
Express your answer to the nearest hundredth.​

Answers

9514 1404 393

Answer:

  3.95 in

Step-by-step explanation:

The volume is given by ...

  V = πr²h

Solving for radius, we get ...

  r = √(V/(πh))

For the given numbers, the radius is ...

  r = √(980 in³/(π·20 in)) = 7/√π in ≈ 3.95 in

The radius of the cylinder is about 3.95 inches.

Do 2b+b and 3b have the same value for all values of b

Answers

Answer:

Expression 2b+b and 3b have same values for all values of b.

Step-by-step explanation:

Given the two expression 2b+b2b+b and 3b3b and values of b as 1, 2 and 3.

Consider first expression that is, 2b+b2b+b .

Substituting the value of b=1b=1 ,

2\left(1\right)+\left(1\right)=2+1=32(1)+(1)=2+1=3 ....1

Substituting the value of b=2b=2 ,

2\left(2\right)+\left(2\right)=4+2=62(2)+(2)=4+2=6 ....2

Substituting the value of b=3b=3 ,

2\left(3\right)+\left(3\right)=6+3=92(3)+(3)=6+3=9 ....3

Consider second expression that is, 3b3b .

Substituting the value of b=1b=1 ,

3\left(1\right)=33(1)=3 ....4

Substituting the value of b=2b=2 ,

3\left(2\right)=63(2)=6 ....5

Substituting the value of b=3b=3 ,

3\left(3\right)=93(3)=9 ....6

For value of b=1, equation 1 and equation 4 are same, for value of b=2, equation 2 and equation 5 are same and for value of b=3 equation 3 and equation 6 are same.

Therefore both expression are same for all values of b.

Step-by-step explanation:

Hope it helps you!

just follow me for more!

I'm willing to help you

Each week, Cody earns $15 and spends $12. Which table can you use to determine how much money Cody will save in 6 weeks?
a

b

c

d

Listen NEXT

Answers

Answer:

$18

Step-by-step explanation:

15 x 6 = 90

12 x 6 = 72

90 - 72 = 18

He saves 18 dollars

There are no pictures with the multiple choice answers.

My guess would be a line graph

Identify the terms, like terms, coefficients, and constants in 7-5y+2+1

Answers

Answer:

coefficient is 5y

constants are 7,2,1

no like terms

There are 3 red marbles, 4 blue marbles, 2 green
marbles, and 6 clear marbles in a burlap bag. One
marble is randomly pulled from the bag. What is
the probability the marble was green?

Answers

Answer:

2 out of 15 chance its green

Step-by-step explanation:

there's 15 marbles in total and 2 are green

0.051x40(0.5+0.01)x40 using distributive property

Answers

Answer:

41.616

Step-by-step explanation:

Which fee could decrease an investor's return on investment when the investor may not have bought or sold any stock for a significant period of
time?
OA front-end load​

Answers

Answer: Inactivity fee

Step-by-step explanation:

The rest of the options are not given but there can only be one correct answer to this question and that's the answer above.

Brokerages earn a return when they trade financial instruments for investors as they take a commission from this. When an investor has not traded for a while, brokerages don't get to make earnings and will be holding the account with minimal rewards.

To compensate for this, they charge an inactivity fee that will ensure that they get some form of earnings for managing the account and not receiving commission.

Answer:

Inactivity fee

Step-by-step explanation:

What is the image of (9, 12) after a dilation by a scale factor of į centered at the
origin?
Submit Answer
attempt 1 out of 2

Answers

Answer:( 3, 4)

Step-by-step explanation: :)

Use the following explicit function to identify f(1) & r, and list the first five terms of the sequence.
f(n) = 1000(1/4)^n-1
f(1) =?
r = ?
then the 5 terms:
___, ___, ___, ___, ___...​

Answers

Given:

The explicit function is:

[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex]

To find:

[tex]f(1)=?,r=?[/tex] and first 5 terms.

Solution:

The explicit formula a geometric sequence is:

[tex]f(n)=ar^{n-1}[/tex]            ...(i)

Where, a is the first term and r is the common ratio.

We have,

[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex]         ...(ii)

On comparing (i) and (ii), we get

[tex]a=1000[/tex]

[tex]f(1)=1000[/tex]

And,

[tex]r=\dfrac{1}{4}[/tex]

For [tex]n=1[/tex],

[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{1-1}[/tex]

[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{0}[/tex]

[tex]f(1)=1000(1)[/tex]

[tex]f(1)=1000[/tex]

For [tex]n=2[/tex],

[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{2-1}[/tex]

[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{1}[/tex]

[tex]f(2)=1000\times \dfrac{1}{4}[/tex]

[tex]f(2)=250[/tex]

Similarly, substituting [tex]n=3,4,5[/tex], we get

[tex]f(3)=62.5[/tex]

[tex]f(4)=15.625[/tex]

[tex]f(5)=3.90625[/tex]

Therefore, [tex]f(1)=1000,r=\dfrac{1}{4}[/tex] and the first five terms are [tex]1000,250,62.5,15.625,3.90625[/tex].

Given:

The explicit function is:

To find:

and first 5 terms.

Solution:

The explicit formula a geometric sequence is:

           ...(i)

Where, a is the first term and r is the common ratio.

We have,

        ...(ii)

On comparing (i) and (ii), we get

And,

For ,

For ,

Similarly, substituting , we get

Therefore,  and the first five terms are .

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