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

Using the graph, determine the equation of the axis of symmetry

Answers

The axis of symmetry is -5

Ty Given that the mzx is 30° in the diagram above, find the m_y.​

Answers

9514 1404 393

Answer:

  y = 30°

Step-by-step explanation:

Angles x and y are "vertical" angles, so are congruent.

  x = y = 30°

Marty was renting a boat and wanted to get the best plan. Rental and plan A charges a fee of $50 plus $25 per hour. Plan B charges a fee of $10 plus $35 per hours. Write a system of equations that represent the situation above.

Answers

Answer:

Step-by-step explanation:

Find the circumference of the circle below. Hint: Use 3.14 for π.)



Use numbers only in your answer.

The circumference is
yd.

Answers

Answer:

[tex]\boxed {\boxed {\sf 163.28 \ yards}}[/tex]

Step-by-step explanation:

The circumference of a circle is the distance around the circle, or the perimeter. It is the product of pi and the diameter.

[tex]c= \pi \times d[/tex]

The diameter is the distance from one side to the other through the center. If we look at the circle given, we see the diameter must be 52 yards.

d= 52 yd

Also, remember we are using 3.14 for pi.

[tex]\pi[/tex]= 3.14

Substitute these values into the formula.

[tex]c= 3.14 * 52 \ yd[/tex]

Multiply.

[tex]c=163.28 \ yd[/tex]

The circumference of the circle is 163.28 yards.

Answer:

[tex]\large\fbox{\purple{\underline{Circumference of circle is 163.28 yards}}}[/tex]

Step-by-step explanation:

In the question we have given

Diameter of circle is 52 yards

And Value of π = 3.14

We know that

Circumference of circle = π × diamter

putting the values

Circumference = 3.14 × 52 yards

by mutiplying we get,

Circumference of circle = 163.28 yards

Therefore, Circumference of circle is 163.28 yards

jamie is in charge of covering the display box in felt including the bottom what is the total area to be covered

a.23
b.176
c.172
d.1260

Answers

Answer:

c. 172 in^2

I did this!

The surface area of the solid is 176 in².

What is surface area?

Surface area is the amount of space covering the outside of a three-dimensional shape.

Given that a solid figure made by joining two cuboids, we need to find the total surface area of the solid,

So, we will find the TSA of lower and upper cuboids and then minus the base area of the upper cuboid as it is a overlapping,

Also, the formula used for TSA of a cuboid = 2(LH + WH + LW)

L = length, W = width and H = height,

So,

TSA = 2(7·3 + 3·5 + 5·7) + 2(4·3 + 3·1 + 4·1) - 1·4

= 2(21 + 15 + 35) + 2(12 + 3 + 4) - 4

= 2 × 71 + 2 × 19 - 4

= 142 + 38 - 4

= 142 + 34

= 176 in²

Hence the surface area of the solid is 176 in².

Learn more about surface area click;

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Can someone plz help me

Answers

Answer:

24°

Step-by-step explanation:

Supplementary angles: angles that add up to 180°

Thus, ∠A + ∠B = 180°

=> (x + 6)° + (7x + 30)° = 180°

=> 8x + 36 = 180

=> 8x = 180 - 36

=> 8x = 144

=> x = 18

∠A = (18 + 6)° = 24°

Select an equation that is equivalent to a^2-144b^2 a) (a-12b)^2 B) (a+12b)^2 C) (a-12b)(a+12b) C) a^2-24ab+144b^2

Answers

Answer:

C) (a-12b)(a+12b)

Step-by-step explanation:

a^2-144b^2 = (a-12b)(a+12b)

This is the formula that when two terms squared are written with a minus sign between them their factors are the product of the original numbers once with a plus sign and once with the minus sign.

This can be explained by multiplying them.

                (a-12b)

                *(a+12b)        

                  a²- 12ab

                      +12ab - 144b²      

                    a²    +0    - 144b²    

We see we get the same answer as applying the formula above.

i need help with this please^^

Answers

They are both 51. Because m1 is 51, and m3 is as well bc they r opposing or “vertical” angles.

Step-by-step explanation:

here's your solution

=> angle 3 and angle 8 are interior angles

we know that sum of both angle is 180°

=> angle 3 + angle 8 = 180°

=> angle 3 + 129° = 180°

=> angle 3 = 180° - 129°

=> angle 3 = 51°

now , angle 3 and angle 1 are vertical angle

hence both angle are equal

=> angle 1 = 51°

hope it helps 【€€】

Three fish are swimming at three different elevations: -1 foot, -5 feet, and - 8 feet. Which fish is closest to the surface of the water? How do you know?

Answers

Answer:

Fish with -1 foot

Step-by-step explanation:

- = under

+= above

If you set your water level to 0 then:

-1 +0 = -1 so the fish is 1 foot under the water level

-5 +0 = -5 do the fish is 5 foot under the water

And the last fish either jumped super high or it was hanging on a fishing line becouse it was 8 feet above the water level

So the fish that was the closes to the water level was the fish with -1

A spinner and 4 cards are shown below:
A spinner with 5 equal sectors is shown in the figure. The colors Green, Blue, Purple, Yellow, and Red are marked on it. The arrow points at the purple color. Four cards are shown on the right side. The colors Red, Yellow, Blue, and Pink are marked on them.

Jane spins the spinner and selects a card without looking. What is the probability that the spinner stops at purple and a pink card is selected?

1 over 20
1 over 5
1 over 4
9 over 20

Answers

Answer: 1 over 20

Step-by-step explanation: If the spinner has 5 parts to it at purple is one of those parts then the spinner has a 1/5 chance of it landing there.

If there are 4 cards and 1 of them are pink then there is a 1/4 chance of picking pink(if done randomly)

So if we mutiply 1/4 and 1/5, we get 1/20

That is how I arrived at my answer of 1 over 20

Evaluate 8 + w/4 when w = 16 (please help_

Answers

8 + [tex]\frac{w}{4}[/tex] = 8 + [tex]\frac{16}{4}[/tex] = 8 + 4 = 12

Solve this 15 points HURRY UP

Answers

Answer:

23

Step-by-step explanation:

I think it is 23 so try this

Answer:

it's like calculating a volume in a prisim

14×6×6

504

(-6, -7), (0, 0)
The distance between the two points is
units.

Answers

Answer: [tex]\sqrt{85}[/tex] or 9.2

Step-by-step explanation:

1. Which of the following is the equation of a circle with center (a, −b) and radius r?
A. (x−a)2+(y+b)2=r2

B. (x+a)2+(y−b)2=r2

C. (x+a)2+(y−b)2=r

D. (x−a)2+(y+b)2=r

2. A given circle has the equation x2+y2−4x−2y+4=1. What is the center of the circle?
A. (1, 2)

B. (−2, −1)

C. (−1, −2)

D. (2, 1)

Answers

Answer:

1) A

2) D

Step-by-step explanation:

1) The equation of a circle is (x-h)²+(y-k)²=r² where (h,k) is the center and "r" is the radius of the circle. With a center of (a,-b) the equation of the circle is (x-a)²+(y+b)²=r² making A the correct answer.

2) Convert from general form into standard form:

Given: x²+y²-4x-2y+4=1

Rearrange: x²-4x+4+y²-2y=1

Set right side equal to 0: x²-4x+4+y²-2y-1=0

Complete the square: x²-4x+4+y²-2y-1+2=0+2

Evaluate: x²-4x+4+y²-2y+1=2

Condense: (x-2)²+(y-1)²=2

Therefore, the center of the circle is D) (2,1)

45% of Ms. Stacey's students will go on a field trip to the museum. If 90 of Ms. Stacey's students went to the museum field trip how many students does she have overall? A. 40.5 B. 50 C. 200

Answers

Answer:

c

Step-by-step explanation:

Number of students = number of students that went to the museum / percentage of students that went to the museum

90 / 0.45 = 200 students

Raymond used 36 cubes to build the first layer of a rectangular prism. The edge length of each cube was 1 inch. The finished prism had a total of 8 layers. What is the volume of Raymond's prism in cubic inches?

Answers

Answer:

[tex]Volume = 288in^3[/tex]

Step-by-step explanation:

Given

[tex]Base\ Cubes = 36[/tex]

[tex]Layers = 8[/tex]

Required

The volume of the prism

The number of base cubes represents the base area and the number of layers represents the height of the prism.

So, the volume is calculated as:

[tex]Volume = Base\ Cubes * Layers[/tex] i.e Base Area * Heights

[tex]Volume = 36 * 8[/tex]

[tex]Volume = 36in^2 * 8in[/tex]

[tex]Volume = 288in^3[/tex]

i need help with this

Answers

Answer:

I believe H is the answer.

Step-by-step explanation:

Double checking.

Which equation represents the parent function translated to the right 4 units and stretched by a factor of 5?

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. So, I will solve a general solution, instead.

Let (x,y) be the parent function

First transformation: 4 unit right translation

The rule to this is: [tex](x,y) \to (x + b,y)[/tex]

Where b is the units of translation

i.e. [tex]b = 4[/tex]

So, we have;

[tex](x,y) \to (x + 4,y)[/tex]

Second transformation: Stretch by a factor of 5

The rule to this is: [tex](x,y) \to (x ,ay)[/tex]

Where a is the units of translation

i.e. [tex]a = 5[/tex]

So, we have;

[tex](x + 4,y) \to (x+4,5y)[/tex]

Hence, the transformation from the parent function to the new function is:

[tex](x + 4,y) \to (x+4,5y)[/tex]

I need the answer ASAP please

Answers

Ok bare with me here.
I’m not sure if you filled in the minimum medium and max but I’m going to try and lay this out.
Min: 3
Q1: 7.5
Med: 9
Q2: 13
Max: 17

I hope this helps!! It should get you through the problem!

Help Please! :((( answer correctly please

Answers

Answer:

ILOVEMATH

10 = 90

11 = 35

12 = 16

13 = 200000

14 = 19

Step-by-step explanation:

The magic word is I love math

Mr. Perrins’s class sold packs of peanut butter cookies for $2.35 each and Mr. Woods’s class sold bottles of milk for $1.34 each. Together, the classes sold 73 items and earned $141.25 for their school. Write and solve a system of equations that model the problem. Show all your work. (a) Which class earned more money? (b) How much more money did that class earn?

Answers

Answer:

1. Solution = (4,3) and they intersect.

2. Solution = Infinite, this means that the lines overlap each other constantly.

3. Equations = x + y=73 and 2.35x + 1.34y = 141.25

PB Cookies made $101.05

Milk Bottles made $40.02

The cookies made more by $61.03 

Step-by-step explanation:

Took the test and got 100%.

What is the volume of a sphere with a radius of 2.6 ft, rounded to the nearest tenth of
a cubic foot?

Answers

Answer:73.6fr^3

Step-by-step explanation:

The volume of the sphere is [tex]73.57ft^3[/tex].

What is the volume of sphere?

The volume of sphere is the amount of space occupied, within the sphere. The sphere is defined as the three-dimensional round solid figure in which every point on its surface is equidistant from its centre.

[tex]V=\frac{4}{3}\pi r^3[/tex]

here [tex]r[/tex] is the radius and it is [tex]r=2.6ft[/tex]

So,

[tex]V=\frac{4}{3}\pi r^3\\\\V=\frac{4}{3}(3.14)(2.6)^3\\\\V=\frac{4}{3}(3.14)(17.576)\\\\V=\frac{4(55.18)}{3}\\\\V=\frac{220.72}{3}\\\\V=73.57ft^3[/tex]

Hence, the volume of the sphere is [tex]73.57ft^3[/tex].

To know more about the volume of sphere

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does anyone know the answer?

Answers

Answer:

E

Step-by-step explanation:

Answer:

It's E l did that before

What is the value of x? Round to the nearest tenth

Answers

Answer:

x = 8

Hope this helps!

Need help with this question asap please please

Answers

Answer:

M< D = 105⁰

Step-by-step explanation:

the sum of the opposite angles of a cyclic quadrilateral is 180⁰

hence, <ADC + <ABC = 180⁰

<ADC + 75⁰ = 180⁰

<ADC = 180⁰ - 75⁰

< ADC= 105⁰

What is the measure of ∡U in the figure shown? ∘

Answers

Answer:

∠ U = 70°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

120° is an exterior angle of the circle , then

∠ U + 50° = 120° ( subtract 50° from both sides )

∠ U = 70°

Mrs. Logan traveled at an average speed of 55 miles per hour for 3.5 hours and then traveled at an average speed of 60 miles per hour for 2.5 hours. What was the total distance in miles that Ms. Logan traveled during this time?

Answers

Answer:

55 mph for 3.5 hours would be 192.5 miles. 60 mph for 2.5 hours would be 150 miles. The total of mile Ms. Logan went is 342.5.

There were 120 water sports rentals available at the Little River Sports Shop. 20% of the rentals were kayaks. How many of the rentals were kayaks?​

Answers

Answer:

[tex]24[/tex]

Step-by-step explanation:

[tex]20%[/tex] of [tex]120[/tex][tex]=24[/tex]

The events x and y have a correlation coefficient of r = -0.08. What is the relationship between x and y?

Answers

Answer:

Very weak negative correlation/trend

Step-by-step explanation:

There's a very weak negative correlation between events x and y, given that r is negative, and the fact that r is very close to 0.

i need all the steps to the solution​

Answers

Answer:

,,,,,, ,,,,,,,,,,,,,,,,,,

This is the answer if you’re doing it by “solve the system of inequality”
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