Find the area of a sector with a central angle of 140° and a diameter of 9.6 cm. Round to the nearest tenth.

Answers

Answer 1

Answer:

[tex]A=28.1\ cm^2[/tex]

Step-by-step explanation:

The area of a circular sector with a central angle θ and radius r is given by:

[tex]\displaystyle A=\frac{1}{2}r^2 \theta[/tex]

Note: The angle must be in radians.

We need to find both the radius and the angle in radians.

Diameter = 9.6 cm

Radius r=Diameter/2=4.8 cm

Angle in radians= Angle in degrees*π / 180

θ = 140*π / 180 = 2.4435 rad

Now we calculate the area:

[tex]\displaystyle A=\frac{1}{2}(4.8)^2 2.4435[/tex]

[tex]\boxed{A=28.1\ cm^2}[/tex]


Related Questions

Kim surveyed 80 students at her school and found that 0.65 of the students she surveyed said their favorite class is math. Another 15% of the students she surveyed reported that their favorite class is science. How many more students in the survey prefer math over science?



Plz Help me I don't understand-ish

Answers

Answer:

22%

Step-by-step explanation:

Answer:40

Step-by-step explanation:0.65 to percent

0.65x100=65%

which is 65/100x80=52 students choose mat

and 15/100x80=12 students choose science

so 40 more students choose math over science

Aaron is baking cookies. The recipe uses 2 cups of flour to make 30 cookies. If Aaron wants to make 40 cookies, how many cups of flour should he use
plz answer asap.

Answers

Step-by-step explanation:

30 cookies = 2 cups

1 cookie = 2/30 cups = 1/15 cups

40 cookies = 1/15 × 40 = 8/3 cups

find the quote that for -6•(-8)

Answers

The answer is 0.75....

Answer:

0.75

Step-by-step explanation:

The two negatives cancel each other out and divide like normal.  6 divided by 8 equals 3/4 or 0.75.

Does anyone live in Alabama

Answers

Answer: No. Do you?

Step-by-step explanation:

Answer:

yes lots of people live in Alabama there is 4.903 million (2019) but that was in 2019 and people dont know how much there is in 2020 so were still figuring it out but yes there are 4.903 million (2019) people living in  Alabama right now

Step-by-step explanation:

i hope this helps

Simplify this radical.
84

O 2/21
O 2742
4v21
O 4/42

Answers

[tex] \sqrt{84} = 2 \sqrt{21} [/tex]

Thus the first one is the correct answer...

Done.....♥️♥️♥️♥️♥️

Given the equation 2

Square root of x minus 5 = 2, solve for x and identify if it is an extraneous solution. (2 points)

Group of answer choices

x = 9, solution is not extraneous

x = 11, solution is extraneous

x = 9, solution is extraneous

x = 11, solution is not extraneous

Answers

Answer:

its none

Step-by-step explanation:

this is really annoying. the notification thing keeps saying that I got messages but when I click on it there's nothing. I've gone to my inbox and everything but nothing is there and idk what to do lol

Answers

Answer:

THAT HAPPENS TO EVERYONE I PROMISE SO DONT BE ANNOYED

Step-by-step explanation:

I GET ANNOYED THO TOO

Answer: ikrrrrrrr

Step-by-step explanation:

Solve for x in simplest form 11=3/4(3x+12)

Answers

11 = 3/4(3x+12)
11=3/4 x 3x + 3/4 x 12
11= 9/4x + 9
11-9 = 9/4x
2 = 9/4x
x = 2 x 4/9
= 8/9

Please mark brainliest if this helps

Answer: 8/9

Multiply 3/4 by 3x and 12, then subtract the number with out the variable on the right side from both sides.

Which statement correctly compares the function shown on this graph with
the function y = 2x - 5?

A. The function shown on the graph has a smaller rate of change and lower starting point.

B. The function shown on the graph has a smaller rate of change, but a higher starting point.

C. The function shown on the graph has a greater rate of change and a higher starting point.

D. The function shown on the graph has a greater rate of change, but a lower starting point.

Answers

It’s c because I just got finishes taking the test

The correct option is Option C: The function shown on the graph has a greater rate of change and a higher starting point.

What is the rate of change of function?

The rate of change of function is the change in the value of the function with respect to x value.

rate of change of function f(x)= df(x)/dx= f'(x)

Here the function given in the question is y=2x-5

rate of change of function= f'(x)= df(x)/dx= dy/dx= d(2x-5)/dx= 2

the starting point of the function f is y-intercept of the function.

the y-intercept of the function is the point where the function touches the y-axis which can be calculated by putting x value is equals to 0.

y= 2x-5

⇒y= 2*0-5

⇒y= -5

The starting point of function is -5.

Given the graph has slope = |y-intercept| / |x intercept|

= 4/1 =4

rate of change of graph = slope of graph= 4

similarly, the y-intercept of the function is the point where the function touches the y-axis which can be calculated by putting x value is equals to 0.

The y-intercept of the graph= the starting point of the graph= -5

Therefore the function in the graph has a higher rate of change as well as a higher starting point.

From the above, it is clear that the correct option is Option C: The function shown on the graph has a greater rate of change and a higher starting point.

Learn more about the rate of change of function

here: https://brainly.com/question/3939432

#SPJ2

The domain of a function h(x) is x > 3, and the range is y2 -2. What are the domain and range of its inverse function, h-1(x)?
A. Domain: x>3 Range: y2 -2
B. Domain: x2 -2 Range: y> 3
C. Domain: x>-2 Range: y> 3
D. Domain: x2 3 Range: y> -2 ​

Answers

Answer:

I think it's b I don't know for sure though

Step-by-step explanation:

I don't know for sure tho

Using inverse function concepts, the correct option is:

B. Domain: x < -2 Range: y> 3

--------------------------

The domain of a function is the set that contains all possible input values.The range of a function is the set that contains all possible output values.In the inverse function, input and output are exchanged, thus, domain and range are also exchanged.

For the original function, the domain is x > 3 and the range is y < -2.Thus, for the inverse function, the domain is x < -2 and the range is y > 3, which means that option B is correct.

A similar problem is given at https://brainly.com/question/24603090

Does the following make a right triangle?
A ceramic tile with sides 20 cm, 21 cm, and 29 cm


A. yes
B. no

Answers

Answer:

yes

Step-by-step explanation:

In order for it to be a right triangle, it has to be [tex]a^2+b^2=c^2[/tex].

[tex]20^2+21^2[/tex] should equal [tex]29^2[/tex]

400+441 should equal 841

So yes, the lengths make a right triange.

x-8=-15 solve for x

Answers

Answer:

x=-7

Step-by-step explanation:

x-8=-15

add eight to both sides since it's negative

X=-7 You add the negative 8 from both sides which leaves you with X=-7

The Fairview Library is getting ready to move to a bigger building. So, the librarians need to pack 2 tons of books into cardboard boxes. Each box can safely hold about 25 pounds of books. If they already packed 50 boxes, how many more boxes should they expect to use?

Answers

Given :

The librarians need to pack 2 tons of books into cardboard boxes. Each box can safely hold about 25 pounds of books. If they already packed 50 boxes.

To Find :

How many more boxes should they expect to use.

Solution :

We know, 1 ton = 2000 pounds

So, 2 ton = 4000 pounds

Minimum number of boxes required for safe handling :

[tex]n=\dfrac{4000}{25}\\\\n=160[/tex]

So, total 160 boxes required.

Therefore, 160 - 50 = 110 many more boxes should they expect to use.

Hence, this is the required solution.

Answer:

110 more boxes

Step-by-step explanation:

What is 5-(n-4)=3(n+2)?

Answers

Answer:

-3n-6

Step-by-step explanation:

multiply each term by 3

-3(n+2)

-3n-3*2

-3n-6

Devin is collecting signatures for a petition to open a new park in her town. She needs to collect at least 1,000
signatures before she can schedule a meeting with the mayor. She already has 380 signatures. If each petition page
holds 80 signatures, which inequality best shows how many more pages (p) Devin needs?

Answers

Answer:

P = t - f

Step-by-step explanation:

First we need to find how many pages in total she needs so 1,000/80 - 12.5 so 13 pages. Then 380/80 4.75 of a page filled so subtract that from 12.5 to get 8 pages left to fill.

let p = pages left to fill

let T = total pages needed

let F = pages already filled

BRAINLY
If an object is in motion and experiences no other forces it will stay in motion.

Answers

it is Newton’s first Law (or known as the law as inertia)

Simplify the expression

Answers

Answer:

[tex]2[/tex]

Step-by-step explanation:

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction

Step 1: Write expression

[tex]\frac{12/2(3)}{3(3)}[/tex]

Step 2: Evaluate

Divide: [tex]\frac{6(3)}{3(3)}[/tex]Multiply: [tex]\frac{18}{3(3)}[/tex]Multiply: [tex]\frac{18}{9}[/tex]Divide: [tex]2[/tex]

1 point
What is 3V45 expressed in simplest radical form?
a. 615
b. 2715
c. 9/5
d. 515
b
Ο Ο Ο Ο
d

Answers

Answer:

The simplest radical form is [tex]9\sqrt{5}[/tex] ⇒ (c)

Step-by-step explanation:

To simplify any square root;

Factorize the number under the root using prime numbersTake out the root any number repeated twice as one number

Examples:

1. Simplify [tex]\sqrt{8}[/tex]

factorize 8 using prime numbers

8 = 2 × 2 × 2, then [tex]\sqrt{8}=\sqrt{(2)(2)(2)}[/tex]

Take two of 2 out the root, then [tex]\sqrt{8}=2\sqrt{2}[/tex]

2. Simplify [tex]\sqrt{18}[/tex]

factorize 18 using prime numbers

18 = 2 × 3 × 3, then [tex]\sqrt{18}=\sqrt{(2)(3)(3)}[/tex]

Take the two 3 out the root, then [tex]\sqrt{18}=3\sqrt{2}[/tex]

Let us simplify [tex]3\sqrt{45}[/tex]

∵ 45 = 3 × 3 × 5

∴ [tex]3\sqrt{45}=3\sqrt{(3)(3)(5)}[/tex]

→ Take the two 3 out by one 3

∴  [tex]3\sqrt{45}=3(3)\sqrt{5}[/tex]

→ Multiply the numbers out the root

∴ [tex]3\sqrt{45}=9\sqrt{5}[/tex]

The simplest radical form is [tex]9\sqrt{5}[/tex]

Which of the following quantities are inversely proportional? WILL GIVE BRAINIEST

a

The number of hours worked and the amount of money earned, assuming the worker is paid by the hour

Answers

Answer:

option 1

option 3

option 4

Step-by-step explanation:

Inversely proportional means "one quality increases, the other decreases " or "one quantity decreases ,other increases. " Inverse relantionship, that's it.

option 1:

Since the volume is given as 56 and we know the volume is area of base * height, to keep the volume at constant [56], if height increases, area of base would need to decrease, and vice versa. So Inversely proportional.

option 2:

The time spend in plowing a field with a tractor with increase when we area using more fuel.So more fuel used means more time spent. So these are directly proportional, Not inverse.

option 3:

Since the price is a constant, the amount of length we buy more,the price per one yard HAS to decrease, and vice versa. So ,this is Inverse relantionship.

option 4:

If the number of identical tractors. increase, it will take less time to plow the set 358 acre farm. And vice versa. So this is Inversely proportional as well.

PLEASE MARK ME AS BRAINLIEST!!

Evaluate. Write your answer as a mixed number.

9 4/5 ÷ 3 1/2=

Answers

Answer:

2 4/5

Step-by-step explanation:

Answer:

It is 1 19/30. Hope that helped

Which expression is equivalent to 2 - 35?
Choose 1 answer:
2 + (-35)
B
--35-2
2-(-35)
D
35 - 2

Answers

Answer:

2+(-35)

Minus and a plus make a minus

2-35

Answer:

2+(-35)

Step-by-step explanation:

2-35= -33

2+(-35)= -33

A coffee shop sold 72 large cups of coffee on Monday. Each large cup of coffee cost $4.35.

What was total cost of the large cups of coffee sold by the coffee shop on Monday?

Answers

Answer:

314 large cups

Step-by-step explanation:

72x4.35=313.2

Answer:

The total amount of Large coffee cups sold should equal to 313.2

Step-by-step explanation:

4.35 x 72 = 313.2

In 2016, the cost of 2 ounces of pure gold was $2,640. Determine the cost for 1, 3, and 4 ounces of gold.

Answers

19, 85, and 182 i am cool YEE YEE BRAINLYEEST PLES

Find the slope and the y-intercept of the line.
y = 5/4x+3 ​

Answers

The slope is 5/4 and the y intercept is 0,3

can someone do all the even numbers

Answers

Go lily go with yo ugly self

Which situation can be represented by this equation?
170 +2.5x= 325 - 4x

Answers

Answer:

The second one is the answer.

Step-by-step explanation:

J originally contained 170 fl oz (170) +(2.5x) being filled at a rate of 2.5 fl oz per min. = T originally contained 325 fl oz of water (325) - (4x) drained at a rate of 4 fl oz per minute.

170 + 2.5x = 325 -4x

3x= 5+7x solve for x

Answers

Answer:

x = -5/4

Step-by-step explanation:

3x= 5+7x    (subtract 7x from both sides)

3x - 7x = 5

-4x = 5    (divide both sides by -4)

x = 5/(-4)

x = -5/4

In fig if x+y=w+z then prove that AOB is a line.​

Answers

Answer:

As Given, x+y=w+z

To Prove: AOB is a line or x+y=180

(linear pair.)

According to the question,

x+y+w+z=360

∣ Angles around a point.

(x+y)+(w+z)=360

(x+y)+(x+y)=360

∣ Given x+y=w+z

2(x+y)=360

(x+y)=180

Hence, x+y makes a linear pair.

Therefore, AOB is a straight line

20.) A bird is perched in a tree 28 feet above the surface of the water. He spots a
fish and dives 5 feet into the water to catch it. How far did the bird travel?

Answers

Answer:

33 feet

Step-by-step explanation:

To mail 10 letters costs $ 4.50 . How much would it cost for 12 letters? Assume the relationship is proportional.

Answers

Answer:

12 letters cost 6.30 dollars

Step-by-step explanation:

hope this helps

Answer:

$5.40 for 12 letters

Step-by-step explanation:

you need to find the cost for 1 unit then multiply that by 12, so you take the cost (4.50) and divide it by letters (10) so you get 0.45. So that is the cost of q letter, then you that that unit rate and multi[ly it by the number that you need to figure out (12) so .45x12=5.40  

12 letters=$5.40

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