In a circle with radius 22, an angle measuring 2\pi2π radians intercepts an arc. Find the length of the arc in simplest form.

Answers

Answer 1

Answer:

15

Step-by-step explanation:

Answer 2

The length of the arc in its simplest form will be 138.16 units.

What is the arc length of the sector?

Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

In a circle with a radius of 22, an angle measuring 2π radians intercepts an arc.

Then the length of the arc in the simplest form will be given as,

Arc = (2π/2π) 2π (22)

Arc = 44 x 3.14

Arc = 138.16 units

The length of the arc in its simplest form will be 138.16 units.

More about the arc length of the sector link is given below.

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Related Questions

Which expression is equivalent to
15a8b4/5a4b?

Answers

Answer:

[tex]3a^4b^3[/tex]

Step-by-step explanation:

[tex]\frac{15a^8b^4}{5a^4b}\\\mathrm{Divide\:the\:numbers:}\:\frac{15}{5}=3\\=\frac{3a^8b^4}{a^4b}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\frac{a^8}{a^4}=a^{8-4}\\=\frac{3b^4a^{8-4}}{b}\\\mathrm{Subtract\:the\:numbers:}\:8-4=4\\=\frac{3a^4b^4}{b}\\\mathrm{Cancel\:the\:common\:factor:}\:b\\3a^4b^3[/tex]

I need help with this question

Answers

-30(E+H=50)

-30E-30H=-1500

30E+60H=1950

(add the 2 equations)

0E+30H=450

H=15

(plug H into first equation)

E+15=50

E=35

which is lighter 900000g or 9 tonnes​

Answers

900000g coz 9 tonnes is like 9000000g

Answer:

900000gm is lighter than 9 tonnes

Step-by-step explanation:

907185 = 1 ton

907185 x 9 = 8164665

You underline how many digits = 7 and see that 900000gm has only 6 digits.

ANSWERR ASAPP!!! I GIVE BRAINLIESTT!!​

Answers

So the first question that’s A is the blue team because they have 100 points , question B is both of the teams is at the same point together and question C , team blue because they scored 100 points , Hope this helps , brainliest will be appreciated:)

Point R has coordinates (-5, -7) and point T has coordinates (3,-3).
Which point is located 1/4 of the distance from point R to point T?
Enter x-coordinate of the point here
and they
coordinate of the point here​

Answers

Answer:

(-3,-6)

x-coordinate = -3

(I think)

Step-by-step explanation:

The pictures show my explanation.

Hope this makes sense! I hope this helps! Have a great day! :)

Find the value of X


Plz help me it’s emergency

Answers

Answer:

x = - 2

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

Evaluating the numerator

9³ × 9 = [tex]9^{(3+1)}[/tex] = [tex]9^{4}[/tex] , thus

[tex]\frac{9^{4} }{9^{6} }[/tex]

= [tex]9^{(4-6)}[/tex] = [tex]9^{-2}[/tex]

and [tex]9^{-2}[/tex] = [tex]9^{x}[/tex]

Since bases on both sides are 9, then equate exponents

x = - 2

What is the difference between (8y-7) and (1-3y)?

Answers

________________________________

Solution,

(8y-7)-(1-3y)

= 8y-7-1+3y

= 8y+3y-7-1

=11y-8

Hope it helps

Good luck on your assignment

_____________________________

A girl flying a kite lets out 130 feet of string that makes an angle of 52° with the ground. If the string forms a straight line, how high is the kite above the ground? Hint: Draw a picture (triangle) and label. 80.04 feet 102.44 feet 166.39 feet 164.97 feet

Answers

Answer:

The height of the kite above the ground is 102 .44 feet

Step-by-step explanation:

To find the height of the kite above the ground, we will follow the steps below:

let h represent the height of the kite above the ground

we will use trigonometric ratio to solve

SOH CAH TOA

sinФ = opposite/hypotenuse

cosФ=adjacent / hypotenuse

tanФ=opposite / adjacent

from the diagram below

opposite = h

hypotenuse = 130 feet

Ф = 52°

The best trig ratio to use is sin

sin Ф = opposite / hypotenuse

sin52° = h / 130

cross-multiply

h = 130 sin 52°

h=102.44°

The height of the kite above the ground is 102 .44 feet

Which number line correctly shows –0.8 + 0.6? A number line going from negative 1.6 to positive 1.6. An arrow goes from negative 0.8 to negative 0.2, and then backwards from 0 to negative 0.8. A number line going from negative 1.6 to positive 1.6. An arrow goes from 0 to negative 0.8 and then from negative 0.8 to negative 1.4. A number line going from negative 1.6 to positive 1.6. An arrow goes from 0 to 0.8 and then from 0.8 to 1.4. A number line going from negative 1.6 to positive 1.6. An arrow goes from negative 0.6 to 0.2 and then from 0 to negative 0.6.

Answers

Answer:

Hi there, are you sure you didn't forget any parenthesis or signs? I can't find the right answer in the options, the one that would end up at -0.2 in the end I can edit my answer if you tell me some additional option or info about the expression I need to show on the number line

Step-by-step explanation:

which number line shows correctly -0.8 + 0.6?

well lets write it in words minus eight tenths plus six tenths\

so minus:

you go 0.8 units to the left from 0,

then plus:

you go 0.6 units right from -0.8, getting to -0.2

since there is no exact answer like that we can rearrange the addends 0.6-0.8, now:

we go from 0 6 tenths units to the right and get to 0.6, then we go from 0.6 eight tenths unit to the left to get to -0.2

The correct option is Option A: the number line goes from -1.6 to 1.6. An arrow goes from -0.8 to -0.2, and then backs from 0 to - 0.8.

What is a number line?

The number line is a straight line that is infinitely extended on which integers are placed in a unit interval.

Here given that we have to find the number line which shows -0.8 + 0.6

By checking all the options

Option A: in this option arrow goes from -0.8 to -0.2. the distance covered will be -0.2-(-0.8)= -0.2+0.8= 0.6. Then arrow backward from 0 to -0.8. then the distance will be -0.8-0= -0.8. So total displacement will be -0.8+0.6.

Hence option A is correct.

Option B: in this option arrow goes from 0 to -0.8 then the distance will be -0.8-0= -0.8. Then the arrow goes from -0.8 to -1.4. then the distance will be= -1.4-(-0.8)= -1.4+0.8= -0.6. So total displacement will be -0.8-0.6.

Hence Option B is incorrect.

Option C: in this option arrow goes from 0 to 0.8 then the distance will be =0.8-0= 0.8 then the arrow goes from 0.8 to 1.4. Then the distance will be 1.4-0.8= 0.6. So the total displacement will be 0.8+0.6

Hence Option C is incorrect.

Option D: in this option arrow goes from -0.6 to 0.2 then the distance will be 0.2-(-0.6)= 0.8 then the arrow goes from 0 to -0.6 then the distance will be= -0.6-0= -0.6. Then the total distance will be -0.6+0.8

Hence Option D is incorrect.

Therefore the correct option is Option A.

Learn more about the number line

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Someone help me ASAP please

Answers

Answer:

Step-by-step explanation:

use a^2+b^2=c^2.

5^2+7^2=c^2

25+49=c^2

sqrt74= 8.6 so side c is about 8 units

Answer:

C. about 8 units

Step-by-step explanation:

correct answer is c

PLEASE HELP ME !!!!!!!!!!

Answers

Answer:

x=139

Step-by-step explanation:

since a straight line is equal to 180 degrees line LN is 180 degrees therefore to figure x you must subtract 41 from 180 to get 139 hope this helps! :)

Answer:

z = 139°

Step-by-step explanation:

LON is a straight angle (an angle with 180°). You can tell just by looking at it.

41° is a supplement (meaning it adds up to 180°) of z.

From there you can just do

180° - 41° = 139°

z° = 139°

hope this help brainliest is always cool

Which is a zero of the quadratic function f(x) = 9x2 - 54x – 19?
x= 1/3
x=3 1/3

Answers

Answer:

x =1/3

Step-by-step explanation:

the zero quadratic function is x=1/3

Hank’s age is 15 years less than twice his sister’ s age. If Hank’s sister is 22 years old, how old is Hank?

Answers

Answer:

29

Step-by-step explanation:

2s-15=h

2(22)-15=h

44-15=h

29=h

Answer:

29

Step-by-step explanation:

22 multiplied by 2 is equal to 44. Subtract 15 from 44 and you get 29.

In a basketball tournament, Team A scored 5 less than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Let the variable b represent Team B’s total points. The equation representing this scenario is (2b – 5) + b + (b + 80) = 983. Team B scored 227 total points.

Which statement is true based on the information?

Team A scored 307 points.
Team C scored 307 points.
Team A scored twice as many points as Team C.
The sum of the points scored by the three teams is 841.

Answers

Answer: The correct answer is B or Team C scored 307 points.

Step-by-step explanation:

Answer:

Choice B. Team C scored 307 points.

Step-by-step explanation:

Team B scored 227 points.

Choice A:

Team A: 2b - 5 = 2(227) - 5 = 454 - 5 = 449

Choice A is false.

Choice B:

Team C: b + 80 = 227 + 80 = 307

Choice B is true.

Choice C:

2 * 307 = 614

614 is not the same as 449.

Choice C is false.

Choice D:

The sum of the points is given as 983.

Choice D is false.

Answer: Choice B. Team C scored 307 points.


Graph the following line on the axes provided:
F(x)=5/4x+1
Can you guys please help me am struggling with this

Answers

view the attached image for the graph.

Can someone help please

Answers

Answer:

9

Step-by-step explanation:

its perpendicular so you do the negative reciprical

Answer:

The correct answer is

A. 9

Step-by-step explanation:

Since the line is going up the slope will be positive... That leaves us with 2 options A/B. However the red line is much steeper and therefore has a greater slope so A is the answer.

Hope this helps!

- Quinn <3

What is the measure of ED (the minor arc) in the diagram below?
HELPPP ASAP PLS

Answers

Answer:

C

Step-by-step explanation:

The measure of the inscribed angle DEF is half the measure of its intercepted arc, that is

[tex]\frac{1}{2}[/tex] ∠ DEF = arc ED , that is

arc ED = 2 × 78° = 156°  → C

 

Option c 156 is correct.

Angle of the arc at tangent EF = 78

What is area circle?

Area of circle is given by the pie times square of radius.

Since Angle made by chord with tangent is equal to halve the angle made by cord with its radius.
So

2 ∡DEF = measure of arc ED
= 2 x 78

= 156

Thus, the measure of are ED is 156°

Learn more about circle here:

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I will give brainliest answer and upvote

Answers

Answer:

397.39

Step-by-step explanation:

steps are all stated in the picture, basically use area of circle minus area of rectangle will give you the shaded area

The triangular park shown below is going to be surrounded by a fence the dimensions of the park are given in feet. How many feet of fencing will be needed to surround the entire park

Answers

Answer:

its 65

Step-by-step explanation:

What is the volume of a figure with that is 6 inches wide, 3 inches tall and 4 inches long?

Answers

Answer:

6*3*4 = 24*3 = 72 in^3

Answer:

72 cubic inches

Steps:

6*3*4 = 72

Description:

So its asking what is the volume. We know that we need to multiply. SO we get all the numbers from the question that is 6, 3 and 4. Multiply 6 times 3 times 4. You will get the answer that is 72.

Answer: 72 cubic inches

Please mark brainliest

Hope this helps.

5x=29x what is the value of x

Answers

Answer:

x = 0

Step-by-step explanation:

5x=29x

Subtract 5x from each side

5x-5x=29x-5x

0 = 24x

Divide each side by 24

0/24 =24x/24

0 = x

Please help! Read the question down below!

Answers

4 ( times ) 6 = 24 ——> 3 trips and 6 buckets
that leaves us with —-> 1 trip and 2 buckets
24 ( minus ) 30 = 6
3 ( times ) 2 = 6 ——> 1 trip and 2 buckets

3a) What is the side length of the following square?*

Answers

Answer:

5.831

Step-by-step explanation:

This is a similar problem to the last 2 you posted.

Start at bottom vertex. Go up 5. Go left 3.

c^2 = a^2 + b^2

c^2 = 5^2 + 3^2

c^2 = 25 + 9

c^2 = 34

c = sqrt(34)

c = 5.831

Please help! Read the question below!

Answers

Answer:1 quarter, 2 dimes and 1 nickel, 5 nickels, 3 nickels and 1 dime

Step-by-step explanation:

Sorry but I’m answering this so I can post my question :)

A planet has a circular orbit around a star. It is a distance of 59,000,000 km from the centre of the star. It orbits at an average speed of 41,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.

Answers

Answer:

380 days

Step-by-step explanation:

Problem in post:

The radius of the orbit of the planet is 59,000,000 km.

The orbit is circular, so the length of the orbit is the circumference of a circle with radius 59,000,000 km.

distance = circumference of orbit = 2(pi)r = 2 * 3.14159 * 59,000,000 km = 370,707,933 km

speed = 41,000 km/h

speed = distance/time

time * speed = distance

time = distance/speed

time = (370,707,933 km)/(41,000 km/h) = 9,042 hours

Now we convert hours into earth days.

1 earth day = 24 hours

9,042 hours * (1 day)/(24 hours) = 376.73 days

Answer: 380 days

Problem in comments:

Nina and Jo both ran an 8 km race.

Nina took 45 minutes to run the whole race.

Jo started the race 4 minutes later than Nina but caught up when they had both travelled 5 km.

If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?

Solution:

They met at 5 km. Let's find out how long it took Nina to run 5 km.

We can use a proportion.

(8 km)/(45 min) = (5 km)/(x)

x * 8 km = 45 min * 5 km

x = [(45 * 5)/8] min

x = 28.125 min

They met after Nina was running for 28.125 minutes.

Jo started 4 minutes after Nina, so Jo ran for 4 minutes less than Nina. Jo ran 5 km in 24.125 minutes.

speed = distance/time

speed = (5 km)/(24.125 min) * (60 min)/(1 hr)

speed = 12.43523 km/h

Answer: Jo's speed is 12.44 km/h

Need Help ASAP will give brainliest!!!!

Answers

Answer:

Puppy' present weight = 2250 grams

Puppy last weight = 600 grams

Difference = 2250-600 = 1650

%age increase = (1650/600) x 100

= 275%

Answer plz!
Which choices are equivalent to the quotient below? Check all that apply.

Answers

Answer:

A(√2) would be the correct answer.

Answer:

[tex] \boxed{A. \: \sqrt{2} \: \: \: and \: \: \: F. \: \frac{ \sqrt{4} }{ \sqrt{2} }} [/tex]

Step-by-step explanation:

[tex] = > \frac{ \sqrt{18} }{ \sqrt{9} } = \frac{ \sqrt{9 \times 2} }{ \sqrt{9} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{ \sqrt{9}} \times \sqrt{2} }{ \cancel{ \sqrt{9} }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]

[tex]F. \: \frac{ \sqrt{4} }{ \sqrt{2} } = \frac{ \sqrt{2 \times 2} }{ \sqrt{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{\sqrt{2}} \times \sqrt{2} }{ \cancel{\sqrt{2}}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]

When a number is decreased by 5%, the result is 20. What is the original number to the nearest tenth?

Answers

Step-by-step explanation:

so round up is b equal a plus 10....

i need help please....

Answers

Answer:

34

Step-by-step explanation:

area = (1/2)base * height.

area= half of 17 times 4

a=8.5 x 4

a=34

Answer: C

Step-by-step explanation:

Area = 1/2 bh

Area = 1/2 x 4 x 17

= 34 sq inches

While on the golf course last weekend Marc hit into the rough landing the ball behind a tall tree. His best option was to get it high enough to get over the tree and hopefully come down in the fairway for his next shot. So with a mighty swing he hit the ball into the air and was surprised to see the ball hit near the top of a 300 foot tall tower that he had not noticed. The formula for this shot is: h(x)= -16x^2+120 where h is the height of the ball and x is the number of seconds the ball is in the air.

Question 1. How high did Marc actually hit the ball?

Later during that same golf outing, Marc decided to show off by trying to hit the green in one shot. So with his macho swing, he said he hit the green as the ball hung in the air for 15 seconds. The formula for this shot is: h(x)= -16x^2+200x

Question 2. How long did the ball actually hang in the air?

Answers

Answer:

120 ft at 0 seconds

Question 2: 12.5 seconds in the air

Step-by-step explanation:

h(x)= -16x^2+120

We want to find the vertex

The vertex is at

h = -b/2a = 0/-32 = 0

The maximum is at 0

h(0) = 0+120 = 120

it occurs at 0 seconds and a height of 120 ft

h(x)= -16x^2+200x

We want to find the zeros of the function

0= -16x^2+200x

Factor out  -8x

0 = -8x(2x -25)

Using the zero product property

-8x=0       2x-25 =0

x =0       2x =25

               x=25/2

The ball starts on the ground   at 0 seconds and lands at 12.5 seconds

Other Questions
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