A hexagon is inscribed in a circle As see in the picture.Find the length of an arc between consecutive vertices. Round to the nearest hundred

Need help homework

A Hexagon Is Inscribed In A Circle As See In The Picture.Find The Length Of An Arc Between Consecutive

Answers

Answer 1

Answer:

The length of the arc between consecutive vertices is:

[tex]S=8.38\: in[/tex]

Step-by-step explanation:

The angle between consecutive vertices is 60°, it is because it forms an equilateral triangle.

Now, the length arc is defined as:

[tex]S=R\theta[/tex]

Where:

R is the radius (R = 8 in)θ is the angle of the arc

We see the angle is in grades, but we need to convert it to radians.

[tex]\theta=\frac{60^{\circ}}{360^{\circ}}(2\pi)[/tex]

[tex]\theta=1.05\: rad[/tex]

Finally, the length of the arc between consecutive vertices will be:

[tex]S=8*1.05[/tex]

[tex]S=8.38\: in[/tex]  

I hope it helps you!


Related Questions

If angle obc=90, angle boc =35 what is the measure of angle bco??? Help this is due today!!

Answers

Answer:

∠BCO = 55°

Step-by-step explanation:

The sum of all the angles in a triangle is always 180°, so we need to subtract 90° and 35° from 180° to get ∠BCO.

180° - 90° - 35° = 55°

£490 is divided between Richard, Stephen & Bridget so that Richard gets twice as much as Stephen, and Stephen gets three times as much as Bridget. How much does Stephen get?

Answers

Answer:

Stephen gets £147

Step-by-step explanation:

Given

Let

[tex]S = Stephen; B = Bridget; R = Richard[/tex]

So:

[tex]S + B + R = 490[/tex]

[tex]R = 2S[/tex]

[tex]S = 3B[/tex]

Required

Find S

Make B the subject in [tex]S = 3B[/tex]

[tex]B = \frac{S}{3}[/tex]

Substitute: [tex]R = 2S[/tex] and [tex]B = \frac{S}{3}[/tex] in [tex]S + B + R = 490[/tex]

[tex]S + \frac{S}{3} + 2S = 490[/tex]

Take LCM

[tex]\frac{3S + S + 6S}{3}= 490[/tex]

[tex]\frac{10S}{3}= 490[/tex]

Solve for S

[tex]S = \frac{490 * 3}{10}[/tex]

[tex]S = 49 * 3[/tex]

[tex]S = 147[/tex]

Stephen gets £147

if the central angle is 3pie/4 and the radius is 13 what's the arc length

Answers

Answer:

The arc length is 9.75 pi units

Step-by-step explanation:

Mathematically, we use the formula below to get the length of an arc

Length of an arc is;

theta/360 * 2 * pi * r

where theta is the central angle

for 3pi/4 ; let us convert to degrees

The degree measure is 180 degrees for pi

so 3pi/4 will be (3 * 180)/4 = 135 degrees

So we have the arc length as follows;

135/360 * 2 * pi * 13 = 9.75 pi unit

Which number is located between 19 and 20 on a number line?
A. √(298)
B. √(340)
C.√ (391)
D. √(402)

Answers

Answer: C

Step-by-step explanation: 19² =361 and 20² = 400

1st question: Are the angles adjacent or vertical?
2nd question: Find the value for x.m ​

Answers

Answer: It’s adjacent I’ll draw what vertical is. And M is 180-106 which is 74. Adjacent means next to...

Step-by-step explanation:

if x+3y upon 5x+4y= 1/3 find the ratio of x:y ANSWER FASTTT

Answers

Answer:

x : y = 5 : 2

Step-by-step explanation:

Given

[tex]\frac{x+3y}{5x+4y}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )

5x + 4y = 3(x + 3y)

5x + 4y = 3x + 9y ( subtract 3x from both sides )

2x + 4y = 9y ( subtract 4y from both sides )

2x = 5y ( divide both sides by 2 )

x = [tex]\frac{5}{2}[/tex] y ( divide both sides by y )

[tex]\frac{x}{y}[/tex] = [tex]\frac{5}{2}[/tex] , that is

x : y = 5 : 2

Answer:

x/y = 5/2

Step-by-step explanation:

hello :

(x+3y) /( 5x+4y)= 1/3 means : 5x+4y = 3(x+3y)

5x+4y = 3x+9y

5x-3x = 9y - 4y

2x = 5y

now divid by y : 2x/y = 5y/y

2x/y = 5 so : x/y = 5/2

Bryan has 5 apples and gives away 2. How many apples does he have left ?



Answers

Answer:

3

Step-by-step explanation:

5-2=3

Answer:

Bryan has 3 apples left

Step-by-step explanation:

5-2=3

I need help please thank you

Answers

Answer:

1) 4x^2-x+1

2) -4x^2+3x

3) 6r^3 - 15r

Step-by-step explanation:

Which features are correctly stated? There is more than one answer.

Answers

hope this helps-

y= (x+2)2-3

Simplify. Rewrite the expression in the form 4n. 49​

Answers

Answer:11^3

Step-by-step explanation:

Answer:

easy bro 4/49

Step-by-step explanation:

that is the lowest it can go :)

HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

Solve the equation for  x  by finding  a ,  b , and  c  of the quadratic then applying the quadratic formula.

Exact Form:

x= -9±[tex]\sqrt{17}[/tex] / 16 (over 16)

Please answer question!

Answers

Answer:

23ft

Step-by-step explanation:

I had $13 My mom gave me $10 my dad gave me $30 My aunt my uncle and my grandma gave me $100 I had another seven dollars how much did I have

What is the measure of the missing angle

Answers

Answer:

40 degrees!

Step-by-step explanation:

95 + 45 = 140

180 - 140 = 40

Mr. Schaeffer worked the ticket booth at the football game last Friday night

Answers

And....?

There's not enough info for me to answer.

Pls help me out!!!!!

Answers

Answer:

cab=62

cba=48

x=12

Step-by-step explanation:

70+x+50+4x=180

combine like terms

120+5x=180

-120. -120

5x= 60

isolate x

5x=60

x=12

e Fill in the char...
Fill in the chart converting between fractions, decimals, and percents.
Fraction
Decimal
Percent
1
8
1.125
What belongs in the cell circled in red?

Answers

Das coo den den yu said the most recent series

I need help with this question.?

Answers

Answer:

D

Step-by-step explanation:

just did it

find the length , in centimeters , if the width is 48

1. 10 centimeters

Answers

it is 40 becuase points and due

PLSSSSS HELPPPPP 20 POINTSSS EASY MATHHHH

How many of each different 2-D shapes do you see?

Answers

I see 5
There’s 2 triangles, one parallelogram and 2 other triangle thingies
Hope this helps
I think there’s two triangles and 3 rectangles

Water flows through a pipe at a rate of 91 fluid ounces every 2.5 weeks. Express this rate of flow in cups per hour. Round your answer to the nearest hundredth.

Answers

Answer:

The answer is "[tex]0.22\ \frac{\ fl \ oz}{\ hours}\\\\[/tex]"

Step-by-step explanation:

rate[tex]=\frac{91 \ fl oz}{2.5 \ weeks}\\\\[/tex]

Requird

Calculating the rate as per hour:

[tex]rate=\frac{91 \ fl oz}{2.5 \ weeks}\\\\[/tex]

there are 168 hoours in week so the ate becomes

[tex]rate=\frac{91 \ fl oz}{2.5 \times 168 \ hours}\\\\[/tex]

       [tex]=\frac{91 \ fl oz}{420 \ hours}\\\\= 0.2167 \ \frac{\ fl \ oz}{\ hours}\\\\[/tex]

        [tex]=0.22 \ \ \frac{\ fl \ oz}{\ hours}\\\\[/tex]

A large pizza has a diameter of 14 inches. A medium pizza has a diameter of 10 inches. How much larger is the area of the large pizza than the area of the medium pizza. Round your answer to the nearest hundredth place. ** Use 3.14


A. 12.56

B. 50.24

C. 75.36

D. 78.50

Answers

Answer:

The bigger pizza has a diameter of 14 inches, or a radius of 14 / 2 = 7 inches.

The smaller pizza has a diameter of 12 inches, or a radius of 12 / 2 = 6 inches.

Step-by-step explanation:

The area of a circle is πR2 where R is the radius.

The difference in the size of the pizzas is  

Area of bigger pizza - Area of smaller pizza

= π(7 inches)2 - π(6 inches)2 = = 49π inches2 - 36π inches2 = 13π inches2  

The area of the large pizza is 13π inches² larger than the area of the medium pizza.

The bigger pizza has a diameter of 14 inches,

a radius = 14 / 2 = 7 inches.

The smaller pizza has a diameter of 12 inches.

radius = 12 / 2 = 6 inches.

What is the area of the circle?

The area of the circle is defined as the product of the pie and the square of the radius.

The area of the circle =πR²

The area of a circle is πR², where R is the radius.

The difference in the size of the pizzas = Area of bigger pizza - Area of smaller pizza

= π(7 inches)² - π(6 inches)²

= 49π inches² - 36π inches²

= 13π inches²

Learn more about circle here;

brainly.com/question/12512221

#SPJ2

PLEASE ANSWER (CORRECT) I WILL GIVE BRAINLIEST

Answers

Answer:

B.z.................

The correct answer is B. Good luck.

Heather puts together 25 of a puzzle on Saturday and 310 on Sunday. Nicole has the same puzzle, and she puts together 45 of her puzzle. How much more of the puzzle does Nicole put together than Heather? A. 110 B. 310 C. 15 D. 45

Answers

Answer:

1/10

Step-by-step explanation:

Here is the correct answer

Heather puts together 2/5 of a puzzle on Saturday and 3/10 on Sunday. Nicole has the same puzzle, and she puts together 4/5 of her puzzle.How much more of the puzzle does Nicole put together than Heather? A. 1/10 b. 3/10 c. 1/5 d 4/5

total puzzle heather put together =

[tex]\frac{2}{5} + \frac{3}{10}[/tex]

[tex]\frac{4 + 3}{10}[/tex] = 7/10

the next step is to subtract 7/10 from the fraction Nicole put together

[tex]\frac{4}{5} - \frac{7}{10}[/tex]

[tex]\frac{8-7}{10}[/tex] = 1/10

Find the volume of the figure. A) 288 cm^3 B) 480 cm^3 C) 544 cm^3 D) 640 cm^3​

Answers

Answer:

Step-by-step explanation:

7680 i think

Volume = area of the base x height

Volume of figure1=(4x4)x 10
=160

Volume of figure2= (8x4) x 4
=128
Total volume= 160+ 128=288

please help me do the three Q thank you i will really appreciate it

Answers

Answer:

9.9 or 10

Step-by-step explanation:

With a right triangle you can use the formula a^2+b^2=c^2

c is the missing side

7^2+7^2=c^2

49+49=c^2

98=c^2

9.899=c^2

Either round this to 9.9 or 10

HELPPP ITS A TESTAKAJNSDUJSWMNS

Answers

Answer:

5^6

Step-by-step explanation:

by the law of exponents,

5^2 * 5^(-8)

5^ [2+ (-8)]

5^(2-8) = 5^-6 = 1/5^6 = 5^6

posting this again, PLS help !!!

Answers

Answer:

A) They will pay more with the new price plan than the current one.

B) The new price plan is cheaper for 7 games.

Step-by-step explanation:

Current price charges;

$3 to rent shoes

$4 per game

New price plan;

$11 to rent shoes

$2 per game

A) If a customer rents shoes and plays 2 games;

At current price;

Cost = 3 + 4(2) = $11

At new price plan;

Cost = 11 + 2(2) = $15

Thus, they will pay more with the new price plan than the current one.

B) Customer bowls 7 games;

At current price;

Cost = 3 + 4(7) = $31

At new price plan;

Cost = 11 + 2(7) = $25

Thus, the new price plan is cheaper for 7 games.

I NEED HELP PLZ, WILL MARK BRAINLIEST!!

Answers

21Answer:

Step-by-step explanation:

N is between A and X. AN = 2x + 1, NX = 3x, and AX = 21. what is AN?

Answers

Answer:

AN = 9

Step-by-step explanation:

so we can imagine this in a line like:

A---------------N---------------X

Step 1 : solve for x

AX=21 (our total)

because we know that AN+NX together makes AX, we put that into an equation

AN + NX = AX

(2x+1) + (3x) = 21

2x + 1 + 3x = 21  <-- subtract 1 from both sides

2x + 3x = 20  <-- add 2x +3x

5x = 20   <-- divide 5 from both sides

x = 4

Step 2 : input x into AN

AN = 2x + 1  <-- input 4 for x

AN = 2(4) + 1  <-- simplify from there

AN = 9

If 23,600,000 is written as 2.36 x 10" what is the value of n?

Answers

Step-by-step explanation:

there are 7 decimal places from between 2 and 3 to the very end. so the answer is 7

Answer: 2.36x^10

Step-by-step explanation:

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