How do I complete this question on arc length?

How Do I Complete This Question On Arc Length?

Answers

Answer 1

Answer:

v ≈ 8.5 km/h

Step-by-step explanation:

Since the diameter of the wheel is 3 m the radius will be r = 1.5 m.

Use the radius of the water wheel to find it's circumference C:

[tex]C=2\pi r[/tex]                                               [set r = 1.5 m]

⇒ [tex]C=2\pi (1.5)[/tex]

[tex]C=3\pi[/tex] m

One revolution of the water wheel corresponds to [tex]3\pi[/tex] meters so the angular velocity 15 rmp (revolutions per minute) corresponds to:

[tex]15(3\pi )[/tex] = [tex]45\pi[/tex] [tex]m[/tex]/min

Using this result, the speed of the river in kilometers per hour will be:

[tex]v=\frac{45\pi m }{1 min}[/tex] ×  [tex]\frac{1 km}{1000 m}[/tex] × [tex]\frac{60 min}{1 h}[/tex]

⇒ [tex]v=8.48230016469[/tex]  [tex]km/h[/tex]

⇒ [tex]v[/tex] ≈ [tex]8.5[/tex] km/h

Answer 2

Answer:

8 km per hour

Step-by-step explanation:

C = [tex]\pi[/tex] d

C = [tex]\frac{66}{7}[/tex]

Velocity = [tex]\frac{66}{7}[/tex] × 15 = [tex]\frac{990}{7}[/tex] ( meters per minute ) = [tex]\frac{0.99}{7}[/tex] × 60 ≈ 8.5 km/h


Related Questions

Compute the cost of driving for two different job options.4 $Driving costs 0.50 dollars per mile. Driving occurs 250 days per year.50 $ Ex: 600

Answers

Answer:

Compute the cost of driving for two different job options.

Driving costs 0.50 dollars per mile. Driving occurs 250 days per year.

Job 1

Miles each way 5

What is the cost of driving?

Job 2

Miles each way 50

What is the cost of driving?

The Total cost of driving for both the job 1 and job 2 is $1250 and $1250.

$Driving costs 0.50 dollars per mile.
Driving occurs 250 days per year.50

What is Statistic?

The statistic is the study of mathematics which deal with relations between comprehensive data.

1) job 1

ways = 5 x 2 miles
Total cost of driving  = total miles x total days x driving cost per miles
 = 10 x 250 x0.50

2) job 2
total cost of driving = 2 x 50 250 x0.5

Thus, The required Total cost of both the job 1 and job 2 is $1250 and $1250

Learn more about Statistics here:
https://brainly.com/question/23091366

#SPJ2


Suppose George walks I mile every 20 minutes. How many
feet further can he walk in 1 hour at this new rate?

Answers

Answer:

forgot so I have been eating much of my friends are for sure what pic and send you a few weeks I have been a bit but we are not what pic my wife is to inform that


If f(x) = 2x - 1 and g(x) = 2x + 1, evaluate f(g(x)) when x = -3

Answers

Answer:

f(g(-3)) = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction NotationComposite Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x - 1

g(x) = 2x + 1

x = -3

Step 2: Evaluate

Substitute in x:                                                                                                  f(g(-3))Substitute in x [Function g(x)]:                                                                         g(-3) = 2(-3) + 1Multiply:                                                                                                             g(-3) = -6 + 1Add:                                                                                                                   g(-3) = -5Rewrite:                                                                                                             f(-5)Substitute in x [Function f(x)]:                                                                           f(-5) = 2(-5) - 1Multiply:                                                                                                             f(-5) = -10 - 1Subtract:                                                                                                            f(-5) = -11

Appreciate any help. Thanks

Answers

for question 9, your answer would be -7

-56 = 8x
then swap the equation
8x = -56
8 x 7 = 56
so your answer would be -7 because the -56 is bigger.

using power to a power, what is (3^3)^3*

Answers

19,683

Hope this Helped!

Can someone plz plz plz help will give u brainlest

Answers

x = 45

if 100% = 60, you would multiply 75% by 60 to find x

(75% = .75)
0.75 x 60 = 45

What is the greatest common factor of 2x3x5x7 and 2x2x3x5x7?​

Answers

Answer:

are these exponents or numbers?

Step-by-step explanation:

solve z^3=27 it's a complex number ​

Answers

Answer:

z³=27

³√z³=³√27

z=3

Step-by-step explanation:

z³=27

³√z³=³√27

z=3

Answer:

the answer is 3

if you want the answer with complex number the Answer will be (-3i⁶)

because (-3)³ equal -27

and (i⁶)³ its i¹⁸ and the same time its i² so its -1

suzanne babysits to earn extra money. she charges $15 for each hour that she babysits. What represents the independent variable in this situation?

A. The total amount charged for babysitting
B. The rate she us paid per hour
C. The number of hours she babysits
D. The number of children she babysits

Answers

Answer:

C. The number of hours she babysits

Step-by-step explanation:

In this situation, the number of hours she babysits is the independent variable.

This is because it will directly influence the amount of money that she earns, which is the dependent variable.

For example, working for 1 hour will earn her $15.

So, the correct answer is C. The number of hours she babysits

Can someone please help?

Answers

Answer: $38,465

Step-by-step explanation: If each computer is $1,099 and there are 35 being bought then the equation is: 35 x 1,099 => 38,465

Answer:

37,365

Step-by-step explanation:

it's just simple math

which of the following represents the equality for the sum of 11 and Y is greater than -33​

Answers

Answer:

11+y > -33

Step-by-step explanation:

Answer:

You wrote

"Which of the following" Meaning there's should be options present.

But Going with the statement...

The sum of 11 and y is greater than -33

I'd say

11 + y > -33.

Give the trigonometric form of each vector (leave the magnitude as a square root) p=
(<2V6, -2V2)

Answers

Answer:

[tex]v=<\sqrt{32}cos(319.11^{\circ}),\sqrt{32}sin(319.11^{\circ})>[/tex] or [tex]v=\sqrt{32}cos(319.11^{\circ})i+\sqrt{32}sin(319.11^{\circ})j[/tex]

Step-by-step explanation:

Find the magnitude of [tex]<2\sqrt{6},-2\sqrt{2}>[/tex]:

[tex]||v||=\sqrt{(2\sqrt{6})^2+(-2\sqrt{2})^2}[/tex]

[tex]||v||=\sqrt{24+8}[/tex]

[tex]||v||=\sqrt{32}[/tex]

Find the direction angle of [tex]<2\sqrt{6},-2\sqrt{2}>[/tex]:

[tex]\alpha=tan^{-1}|\frac{-2\sqrt{2}}{2\sqrt{6}}|[/tex]

[tex]\alpha=tan^{-1}|-\frac{\sqrt{3}}{2}|[/tex]

[tex]\alpha=tan^{-1}(\frac{\sqrt{3}}{2})[/tex]

[tex]\alpha=40.89^{\circ}[/tex]

Since [tex]\alpha=40.89^{\circ}[/tex] is our reference angle, we determine our direction angle [tex]\theta[/tex] by verifying our angle is in Quadrant IV, which is where the vector is located. Therefore, [tex]\theta=360^{\circ}-\alpha=360^{\circ}-40.89^{\circ}=319.11^{\circ}[/tex]

To represent a vector's magnitude and direction in trigonometric form, we use the form [tex]v=<||v||cos\theta,||v||sin\theta>[/tex] or [tex]v=||v||cos\theta i+||v||sin\theta j[/tex].

In conclusion, the trigonometric form of the vector is:

[tex]v=<\sqrt{32}cos(319.11^{\circ}),\sqrt{32}sin(319.11^{\circ})>[/tex] or

[tex]v=\sqrt{32}cos(319.11^{\circ})i+\sqrt{32}sin(319.11^{\circ})j[/tex]

If x= -3, which of the following values is positive? x3, x2, 2x or 1/x

Plssss answer​

Answers

If c is a positive real number, then the graph of

f(x – c) is the graph of y = f(x) shifted to the right

c units.

Horizontal Shifts

If c is a positive real

number, then the

graph of f(x + c) is

the graph of y = f(x)

shifted to the left

Given:  

If a graph  is shifted a units to the left then it becomes  

Here, the graph is shifted 1 unit to the left . On taking a=1, we get graph  

Using formula  , we get

Using formula  , we get

Using distributive property over multiplication i.e  , we get

Therefore,

Answer:

If x= -3 then x^2 will  be positive.

Step-by-step explanation:

we can choose the option by putting x= -3 on each option to see which of them will get us positive value..

x^3 = (-3)×(-3)×(-3) = -27

x^2=  (-3)×(-3)       =  9

2x  =  2 × (-3)   = -6

1/x =  -1/3

Thus from the values above we can see that the If x= -3 then x^2 will  be positive.

click here to know more about the power of x.

https://brainly.com/question/7447978

#SPJ2

Directions: Encircle the letter of the correct answer.
1. What do you call the distance around a cirde?
A. area
B. perimeter
C. circumference
volume
2. Jenny made a circular veil has a radius of 4 decimeters. How many decimeters of lace
trimmings were needed to put around the veil?
A. 8 decimeters
B. 16 decimeters
C. 12 decimeters
D. 25.12 decimeters
3. The circular based statue in the middle of a fountain City Hall Park has a diameter of 9
meters. If the City Mayor would like to put decorative ribbon around it, how much ribbon is
needed?
A. 18 meters
B. 28.26 meters
C. 27 meters
D. 81 meters
4. Mr. Cruz planted santan in his circular garden with a diameter of 8 meter. What is the
circumference of his garden?
A. 16 meters
B. 25.12 meters
C. 24 meters
D. 64 meters
5. Robert's mother is making a pot holder with a diameter of 7 meters. How many meters of
lace she needs to decorate around the pot holder?
A. 14 meters
B. 21.98 meters
C. 21 meters
D. 49 meters​

Answers

Answer:

Step-by-step explanation:

1.C. circumference

2.D. 25.12 decimeters

Solution

C=2πr=2·π·4≈25.13274

3.B. 28.26 meters

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·9≈28.27433m

4.B. 25.12 meters

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·8≈25.13274m

5.B. 21.98 meters

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·7≈21.99115m

Help pleaseeeeeeeeeeee

Answers

Answer:

I think its 302 cubic feet

Kyler noticed that there were seven microscopic sea creatures lined up end to end. If each creature was 3.9 x 10 cm long, how long was the chain?
If the planet Neptune is 2.794 x 10 miles from the sun and the planet Earth is 9.3 x 10' miles from the sun, how many times farther away from the sun is Neptune than Earth?

Answers

Answer: 273 cm, 300

Step-by-step explanation:

Given

The length of each sea creature is [tex]3.9\times 10\ cm[/tex]

for 7 microscopic creature, it is

[tex]\Rightarrow 7\times 3.9\times 10\\\Rightarrow 273\ cm[/tex]

The distance of Neptune from the sun is [tex]2.794\times 10^9\ \text{miles}[/tex]

and the earth is [tex]9.3\times 10^7\ \text{miles}[/tex] from the sun

Comparison of neptune and earth distance

[tex]=\dfrac{2.794\times 10^9}{9.3\times 10^7}\\\\=0.300\times 10^2\\=300.4[/tex]

Neptune is 300 times farher away form the sun than earth

Two angles are complementary. mZT is (3x + 17)° and mZW is 19°
Solve for x and for mZT.

Answers

Answer:

x = 18

mZT = 71º

Step-by-step explanation:

Complementary angles total 90º

(3x + 17) + 19 = 90

Subtract 19 from both sides

3x + 17 = 71

mZT = 71º

Subtract 17 from both sides

3x = 54

Divide both sides by 3

x = 18

Use the linear regression feature on a graphing calculator to find the correlation coefficient for the data. Round your answer to three decimal places.

Answers

Answer:

0.9769

Step-by-step explanation:

Given the data :

X : 7.5, 9.9, 4.8, 9, 8.1, 1.7, 3.1

Y : 35, 6, 45, 18, 20, 89, 84

The Correlation Coefficient obtained by using a graphing calculator to model the data above is : 0.9769, this means a strong positive correlation exists between the two variables.

A man just bought 2 suits, 9 shirts, and 11 ties. All of these suits, shirts, and ties coordinate with each other. If he is to randomly select one suit, one shirt, and one tie to wear on a certain day, how many different outcomes (selections) are possible

Answers

Answer: 198 ways

Step-by-step explanation:

Given

A man has 2 suit, 9 shirts, and 11 ties available to select one suit, one shirt, and one tie.

No of ways of selecting 1 suit out of 2 is [tex]^2C_1[/tex]

No of ways of selecting 1 shirt out of 9 are [tex]^9C_1[/tex]

No of ways of selecting 1 tie out of 11 are [tex]^{11}C_1[/tex]

total no of ways of required ways are

[tex]\Rightarrow ^2C_1\times 9C_1\times ^{11}C_1=2\times 9\times 11\\\Rightarrow 198[/tex]

An accessories store sells $8 custom socks and $11 custom hats. If 11 items were sold on Monday, and the
total sales were $100, how many socks were sold?

Answers

Answer:

7 socks were sold

Step-by-step explanation:

7*8=56

11-7=4

4×11=44

56+44=100

This proves the answer of 7 to be correct

Which expression is NOT equal to 28?
A (9 + 25 = 5) x 2
B. [(13 – 4x2) – 1] x 7
C. 42 = 6 + 28 = 4
D. 7 [8 - (12 - 4x 2)]

Answers

Answer:

aaaaa

Step-by-step explanation:

Answer:

I think it’s A

Step-by-step explanation:

A golden rectangle has a length of 5 cm. Find the area of the rectangle to the nearest square centimeter.
A. 9 square centimeters
B. 25 square centimeters
C. 17 square centimeters
D. 13 square centimeters
E. 15 square centimeters

Answers

Answer:

Option B is correct one

B. 25 square centimeters

If you are helped with my answer pls tag me brianliest I really want it... Plzz

THANK you...

The area of the rectangle to the nearest square centimeter will be 15 square centimeters. Then the correct option is E.

What is the area of the rectangle?

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

A golden rectangle has a length of 5 cm. Then the width of the rectangle is given as,

W = 5 - 2

W = 3 cm

Then the area of the rectangle will be given as,

A = 5 x 3

A = 15 square centimeters

The area of the rectangle to the nearest square centimeter will be 15 square centimeters. Then the correct option is E.

More about the area of the rectangle link is given below.

https://brainly.com/question/20693059

#SPJ2

simplify x^2 - 9/x^2 - 3x

Answers

x+3/x or 1/x^8(x-3). if “2-9 & 2-3x” are exponents then the 2nd anwser is the anwser if not then the first.

The simplified form of the expression [tex]x^2 - 9 / x^2 - 3x[/tex] is:

[tex](x - 3)(x + 3) / x^2 - 3x[/tex]

To simplify the expression [tex]x^2 - 9 / x^2 - 3x[/tex], we can factor the numerator and denominator if possible and cancel out any common factors.

First, let's factor the numerator and denominator:

[tex]x^2 - 9[/tex] can be factored as (x - 3)(x + 3).

[tex]x^2 - 3x[/tex] cannot be factored further.

Now, we can rewrite the expression with the factored form:

[tex](x - 3)(x + 3) / x^2 - 3x[/tex]

Next, we can look for any common factors between the numerator and denominator that can be canceled out. In this case, there are no common factors that can be canceled out.

Therefore, the simplified form of the expression  [tex]x^2 - 9 / x^2 - 3x[/tex] is:

[tex](x - 3)(x + 3) / x^2 - 3x[/tex]

To know more about simplified here

https://brainly.com/question/28595186

#SPJ2

What’s the answer no links or I will report

Answers

m /_ 1 = 75°

37+68= 105
180-105=75


What is f(3) if f(x) =-4x+1
A=-44
B=-11
C=1/2
D=13

how do I do this?

Answers

Answer:

[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]

[tex]f(x) = - 4x + 1[/tex]

Substitute the value of X in the equation.

[tex]f(3) = - 4(3) + 1 \\ f(3) = - 4 \times 3 + 1 \\ f(3) = - 12 + 1 \\ f(3) = - 11[/tex]

[tex]{\boxed{\boxed{\tt { Option \ B \ is \ the \ correct \ answer}}}} \ [/tex]

C is a circle with radius r. Which of the following is true?

Select all that apply

A. The diameter of C is 2r

B.the circumference of C is pi*r

C: the circumference of C is 2pi*r

D. One quarter of the circle has length (pi*r)/4

E. One quarter of the circle has length(pi*r)/2

Answers

Answer:

A and C and E are correct

Step-by-step explanation:

Circumference is 2 * pi* r

I need this answer today pls it is important pls help me out i will give you a crown and good ratings if you get it write

Answers

the medium is the number between 70 and 77
median: 68
mean: 69
mode: 64
range: 13

A die is rolled one thousand times. The percentage of aces should be around ____ or so. the first step iin computing this problem should be

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]Box \ average =\frac{1}{6} \\\\SD = \frac{1}{6} \times \frac{5}{6} = \frac{5}{36} \approx 0.373\\\\Expected \ value= 1000 \times \frac{1}{6} \approx 166.7\\\\SE = 1000 \times 0.373 \approx 11.8\\\\[/tex]

The total number of aces is approximately 167, 12 or more. The SE is 12 out of 1000, which is 1.2 percent.

The percentage of aces is expected to be around 16.67% , or 1.2%.

Simplify (4.5)(5)(-2).
45
4.5
-4.5
-45

Answers

Answer:

-45

Step-by-step explanation:

-45 is the correct answer

Q 16 Two numbers are in the ratio 3 : 17. If the first is 6, what is the other?
Ops: A.
w
O 51
B.
O 68
C.
0 42
5723
D.
O 34​

Answers

Answer:

D 34

Step-by-step explanation:

i hope you understand

Other Questions
Line m is represented by the equation y + 2 = 3/2(x + 4). Select all equations thatrepresent lines perpendicular to line m.A. y = -3/2x +4B. y = -2/3x +4C. y = 2/3x +4D. y = 3/2x +4E.y+1=-4/6(x+5)F.y+ 1 = 3/2(x + 5) The [OH-] of an aqueous solution is 3.5 x 10-5. What is the [H+]? how are you avalon23413? And he boards the ship, as determined as a soldier entering battle,What does the underlined simile suggest about the sailor as he boards the ship? A. that he is confident and is ready to take on what the sea may bring B. that he knows his duty even though he hesitates to do it C. that he is prepared to fight even though he is fearful D. that he is unhappy and knows what lies ahead In which layer is the temperature the lowest?A. The lower mantleB. The inner coreC. The crustD. The outer core Write the ratio 18 inches:1 yard in itssimplest form. Read the sentence. When the storm subsides, we will go out to look at the damage. What is the meaning of the word subsides as it is used in the sentence?continuesamplifiesreturnsweakens The Yazoo Land Fraud resulted in Georgia losing the territory of present day____ and _____? .What is the significance of genetic variation within the population of moths during and after the Industrial Revolution in London? A ball moves in a straight line has an acceleration of a(t) = 2t + 5. Find the position function of the ball if its initial velocity is -3 cm per second and its initial position is 12 cm. Wichita Industries' sales are 10% for cash and 90% on credit. Credit sales are collected as follows: 30% in the month of sale, 50% in the next month, and 20% in the second following month. Wichita Industries' had $12,000 from November sales and $42,000 from December sales. Assume that total sales for January and February are budgeted to be $50,000 and $100,000, respectively. What are the expected cash receipts for February from current and past sales Qu relacin hay entre evolucin biolgica y virus? When using a knife to cut atomato What are threethings you need to do tocarry out this task safely? There are 3 black shoes and 9 red shoes. The ratio is 3:9. What fraction of shoes are black? * For an electrical project in a residence, the electrical engineer had resistorsresistances equal to 300 and 100 to assemble a circuit of an electrical appliance that must be connected 12hours per day. In order to obtain a chain for optimal operation, he came to the conclusion that the bestconfiguration would be the one shown in the figure below (consider the middle thread as ideal). Knowing thatkWh value is $ 0.35, what is the amount that must be paid for energy consumption over 1 month (30 days)? IREADY!!! HELP MEEE I NEED TO DO THIS TODAY!!!! ILL GIVE 50 POINTS AND BRIANLIST Which statement best describes thespeaker's point of view in the poem?O A. The speaker finds opportunity andjoy in making instruments out ofobjects found in the city.B. The speaker is overwhelmed by thebeauty of the music being played inthe streets.C. The speaker is frustrated with theaudience's unwillingness toparticipate in dancing.OD. The speaker thinks the naturalnoises of the city are overshadowedby music which trait is not a genetic trait what tone is this?(sad, happy,hopeful, evasive, calm,hollow,forcefule,lonely,afraid,confident,etc.) I go with the blessings of my mother and her sisters. I am the youngest of the girl cousins, no great beauty, no wealth to keep me here If you are willing to help an idi0t, the click here! if not, well, then, don't click! ;)