A carousel with a 60-foot diameter makes 3 revolutions per minute. (A) find the angular speed of the carousel in radians per minute. (B) find the linear speed (in feet per minute) of the platform rim of the carousel. What's are the answers?

Answers

Answer 1

Answer:

[tex]V=376.9911184feet per minute[/tex]

Step-by-step explanation:

From the question we are told that

60-foot diameter

3 revolutions per minute

a)Generally angular speed can mathematically be given is given as

[tex]W=2\pi f[/tex]

[tex]W=2*\pi*3[/tex]

[tex]W=6*\pi[/tex]

[tex]W=18.84955592[/tex]

b)Generally linear speed is mathematically given as

[tex]V=\omega r[/tex]

[tex]V=6\pi *30[/tex]

[tex]V=120*\pi[/tex]

[tex]V=376.9911184feet per minute[/tex]


Related Questions

If there are 30 boys and 15 girls in the room fill out all the possible ratios of boys to girls that could be made

Answers

Answer:

All the possible ratios of boys to girls that could be made are:

30:15

10:5

6:3

2:1

Step-by-step explanation:

If there are 30 boys and 15 girls in the room

We have :

Boys : Girls

30 : 15

a) 30 : 15

Dividing through by 3

= 10:5

b) 30 : 15

Dividing through by 5

= 6:3

c) 30 : 15

Dividing through by 15

= 2:1

Hence:

All the possible ratios of boys to girls that could be made are:

30:15

10:5

6:3

2:1

what is 3x2 + 5x - x2 - 2x + 3 simplifyed completely​

Answers

Answer:

2x^2+3x+3

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

STEP  1

The Equation at the end of step 1

 (3x2 +  5x) -  x2) -  2x) +  3

STEP  2

Trying to factor by splitting the middle term

2.1     Factoring  2x2+3x+3  

The first term is,  2x2  its coefficient is  2.

The middle term is,  +3x  its coefficient is  3.

The last term, "the constant", is  +3  

Step-1: Multiply the coefficient of the first term by the constant   2 • 3 = 6  

Step-2: Find two factors of  6  whose sum equals the coefficient of the middle term, which is   3.

     -6    +    -1    =    -7  

     -3    +    -2    =    -5  

     -2    +    -3    =    -5  

     -1    +    -6    =    -7  

     1    +    6    =    7  

     2    +    3    =    5  

     3    +    2    =    5  

     6    +    1    =    7  

Observation: No two such factors can be found !!

Conclusion: Trinomial can not be factored

Final result :

 2x^2 + 3x + 3

Hope this helps!

Brain-List?

Evaluate y=5x+7, for x=3.

Answers

y=22, you get it be substituting 3 with x and then getting 5•3 which is 15, then add 7

Byron and Cari are best friends. Byron wants to give a collage photo frame to Cari on her birthday. He measures the photo frame at 12 inches by 18 inches. He wants to cover the photo frame with a golden cloth at a cost of $7 per square inch. How much will it cost for Byron to cover his photo frame?

Answers

Answer:

The answer is $1512.

Step-by-step explanation:

First, multiply 12 by 18, you get 216. Then multiply that by 7, you get 1512. Bryon will need $1512 to cover his photo frame.

A triangle with area 50 cm^2 has side lengths 10cm and 22cm. What is the magnitude of the included angle?

Answers

Answer:

can we go to bed first

Step-by-step explanation:

then i will check your speed

Answer:

27°

Step-by-step explanation:

A = ab sinC / 2

50 = 10 * 22 * SinC / 2

sin C = (50 * 2) / (10 * 22) = 100 / 220 = 0.455

C = 27°

I'm taking a test and it's really important that I pass it because I'm already failing the class. Please help me I have no idea how to do it. The test has a time limit, everything has to be submitted by 12:25 at the latest. Please show the work if you can.
Simplify the expressions
1. (1+2i)(5-5i)
2. (1+2i)-(-2-2i)
3. (1+2i)+(2-i)
4. (6i)(-5i)

Answers

Answer:

1. 15+5i

2. 3+4i

3. 3+i

4. 30

Step-by-step explanation:

i will breann list yuo

Answers

I would 9/4 seeming you have to do devision with this also

Answer:

D. 4/9 and 0.4 repeated

Step-by-step explanation:

4000/9 is .4 repeated and the 4 in the remainder which would end up as 4/9

x-15/5=4

what is x in this equation?

Answers

Answer: is 7 an answer choice ?

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

x-15/5=4

x-3=4

x=4+3

x=7

when 832 is divided by n, the result is 16

Answers

832/b=16 Answer : n=52



Explanation: 832/16 is equal to 52 then to check if this is right plug 52 in n and 832/52 is equal to 16 have a nice day (:

Find the product: 42.6 × 15.

Answers

Answer:

The answer is 639.

Step-by-step explanation:

42.6 × 15

639

Answer: 639

Step-by-step explanation:

42.6 x 15 =639

I need help with this please. :)

Answers

Answer:

64x³+4

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

2x-1

Step-by-step explanation:

I hope this helps. :)

what is the distance between (-1, 2) and (3, 5)

Answers

Answer

the slope is 3/4 or .75

Answer:

The distance is 5 units.

Step-by-step explanation:

Key Skills needed for this problem: Distance Formula, Coordinate Plane Understanding, Radicals, Subtraction, Exponents, Addition

1) We are given 2 points --> (-1,2) and (3,5)

2) To find out the distance between both, we use distance formula.

This is: Given 2 points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], the distance between the 2 points would be: [tex]\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex].

3) For the points (-1,2) and (3,5):

-1 is x12 is y13 is x25 is y2

4) Therefore it would be --> [tex]\sqrt{(-1 - 3)^{2} + (5-2)^{2}}[/tex]

5) This simplified would be [tex]\sqrt{(-4)^{2} + 3^{2}}[/tex]

6) This further simplified would be: [tex]\sqrt{16 + 9}[/tex]

7) This even more simplified would be [tex]\sqrt{25}[/tex] which is 5.

Therefore, the distance between the 2 points is 5 units.

Hope you understood and have a nice day!! :D

4.
Which two steps should be used first in solving the system of equations by substitution?
A:Substitute 9 for y in the first equation and then solve the other equation for x.
B:Solve the second equation for y and then substitute this value into the first equation.
C:Subtract the terms in the second equation from the first equation and then solve for y
D:Multiply the first equation by 4 and the second equation by 2.

Answers

Answer:

B because that is how you do substitution and all of the other ones do not make sense

Did I get it correct?

Answers

Answer:

No they are proprotional.

Step-by-step explanation:

the tables eqaution is

y=3x+1

Answer:

Yes. I assume yes they are proportional because you can see a pattern in the y and x's.

Factor( special patterns): 36x^2-84x+49

Answers

Answer:

(6x - 7) (6x - 7)

Step-by-step explanation:

A perfect square trinomial will be in the form of [tex]a^2[/tex] ± [tex]2ab + b^2.[/tex] A trick to factoring a perfect square trinomial would to write it as [tex](a^2[/tex]±[tex]b^2)[/tex]. (When doing this, the sign in the middle is determined by the middle sign in the original trinomial).

[tex]36x^2 -84x + 49[/tex] is known as a perfect square trinomial, too. Its first and last terms are both perfect squares (6x squared makes [tex]36x^2[/tex], 7 squared makes 49) and the middle term is 2 times the square roots of both of the other terms ( [tex](2) (7) (6x)[/tex] is [tex]84x[/tex]).

So, we can use the trick described earlier, and the answer would be [tex](6x-7)^2[/tex], also known as (6x-7) (6x-7).

Kdjdjrj did brisk ieendidndn

Find the x and y intercept of the line. x = 2 need in 10-15 minutes PLEASE

Answers

Answer:

x-intercept: (2,0)

y-intercept: This line doesn't cross the y-axis.

Add (−x + 4) + (3x + 2). I WILL MARK BRAINLIST!

Answers

Answer:

2x+6

Step-by-step explanation:

(-x+4)+(3x+2) remove ()

-1x+4+3x+2 combine like terms

2x+6

It’s 2(x+3)
Combine like terms for the variables (-x and 3)
Subtract 3 to get 2
And then add 4 and 2 to get 6
and divide 6 by 2 to get 3

How much interest would you pay on a $12000 loan at 5% for 6 years

Answers

Answer:

Interest=$3600

Step-by-step explanation:

I = P * r * x * t

Where:

P is the principal amount, $12000.00.

r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

t is the time involved, 6....year(s) time periods.

So, t is 6....year time periods.

To find the simple interest, we multiply 12000 × 0.05 × 6 to get that:

The interest is: $3600.00

Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),

or 12000.00 + 3600.00 = 15600.00. For example:

If you borrowed the $12000.00, you would now owe $15600.00

If you loaned someone $12000.00, you would now be due $15600.00

If owned something, like a $12000.00 bond, it would be worth $15600.00 now.

I need help quick I’ll give extra point to who ever answers

Answers

Answer:

1 = c

2 = b

3 = d

4 = d

5 = a

Step-by-step explanation:

1) 3x-4>17

2) 3x-4<17

3) 3x-4<=17

4) 3x-4<=17

5) 3x-4>=17

Answer:

Step-by-step explanation:

What is the equation

Answers

what equation? there isn’t any shown.

b) Add the following equation:
x/3+4x/3​

Answers

Answer:

5x/3

Step-by-step explanation:

Help will mark brainlist.

1=
2=
3=
4=

Answers

1=45
2=45
3=45
4=45

4x45=180

pls help U WILL BE BRAINLISTED ​

Answers

Answer:

C.)

Step-by-step explanation:

You need at least 6 employees to generate 7,300 dollars in revenue because 7300-5500=1800 and 1800/300=6. Hope this helps

Billy bought 2 sweatshirts and 3 t-shirts. His friend Jordan bout 3 sweatshirts and 3 t-shirts. Billy's bill was $35 and Jordan's bill was $45. What is the price of one t-shirt and what is the price of one sweatshirt?

Answers

Alright, denote sweatshirts by x and tshirts by y:
for billy: 2x+3y=35$
for jordan:3x+3y=45$
We need to get rid of one of the unknowns inorder to solve, therefore we will subtract the two equations from each other. This will get rid of the y variable(3y-3y=0)
2x+3y=35$
-
3x+3y=45$
=
-1x=-10$
we get rid of the negative, which leaves us with x=10$. Knowing this info, we can now easily calculate y:
2x+3y=35$
2(10)+3y=35$
20+3y=35$
3y=15
y=15/3
y=5
Hope this helps!

PLZZ HELP FOR BRAINLIEST
What is the y-intercept of the graph?

Answers

Answer:

-5

Step-by-step explanation:

Jada and Noah wanted to find the total volume of a cube and a rectangular prism. They know that the prisms volume is 20 cubic units, and they know that the cube has side lengths of 10 units. Jada says the total volume is 27,000 cubic units. Noah says it is 1,020 cubic units. Do you agree with either of them?

Answers

Answer:

Noah answer is the correct answer

Step-by-step explanation:

The solution to the above question is given as:

Total Volume = Volume of the prism + Volume of the cube

Volume of the prism = 20 cubic units

Volume of a cube = (Side length)³

= 10³ = 1000 cubic units

Hence: The total volume =

20 cubic units + 1000 cubic units

= 1,020 cubic units

Therefore, I agree with Noah's answer.

Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3 Which method should Jeremy use?

Answers

Options :

Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.

Answer:

Determine whether the equation has the form x = a

Step-by-step explanation:

Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3

-3(x + 1) + 3x = - 3(x - 1) + 3

If the equation has the form x =a, where a is the unknown and a is the value of the unknown 'x'

Expanding :

-3x - 3 + 3x = - 3x + 3 + 3

-3x + 3x -3 = - 3x + 6

-3 = - 3x + 6

-3 - 6 = - 3x

-9 = - 3x

x = 9/3

x = 3

What is f 2/9 + 9 1/9?

Answers

Answer:

28/3 or 9.3333

Step-by-step explanation:

2/9 + 82/9= 28/3

please help, can't understand.

Answers

Step-by-step explanation:

Angle ACO = 140° - x. (Sum of angles in a triangle is 180°)

Now draw the line OD. The triangles ODC and OBC are congruent via the SSS congruence property. (OD and OB are both the radius of semicircle, common side OC, and side CD = CB is given)

Hence Angle BCO = Angle ACO = 140° - x.

Since triangle OBC is an isosceles triangle with OC = OB, this means that Angle CBO is also 140° - x.

By Exterior Angle theorem,

we have Angle AOC = Angles BCO + CBO

=> x = (140° - x) + (140° - x)

=> 3x = 280°

=> x = 280°/3. (B)

Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 868686 chocolate chip cookies and 424242 sugar cookies.
Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.
What is the greatest number of identical packages that Shaquira can make?
packages

Answers

Answer:

Think the answer is 1292928

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Other Questions
If x = 1 is a zero of the polynomial 3+ kx^2 + 2 ,find the value of k. Plz it's urgent. HELP ME PLEASE I WILL GIVE BRAINLY CAN U PLEASE GRAPH IT Consider the society/country you live in, or another other country with which you are familiar. Evaluatethat country according to substantive and procedural fairness, and consider which aspects of fairness youwould prioritise.(a). To make the country fairer (according to the substantive judgement of fairness),(i). do you prefer greater equality of income, happiness, or freedom? Why? [10](ii). Is there a trade-off between these aspects? [10](b). Are there other things that should be more equal to achieve a greater substantive fairness in yourcountry? {Hint: Discuss any or a combination of indicators of substantive fairness such as wealth,health outcomes, and education outcomes} Tatianas book has an area of 88 square inches what are the length and width measurements of the book how do i solve this pls help me i got 30 mins left :( Wellness is a balance of physical, financial, intellectual and social health. Pls help and show workings HELP PLEASE! Which of these is an example of the climate of a region? ContinentalFoggyOvercastSunny a ball is randomly selected from a bag conraining 12 yellow balls,5red balls,and 7 white balls. find p(white ball). round to the nearest hundredth if necessary? Find the missing side length, N. What did the city of Terminus have to offer during this time period? Select the correct answer.Choose the phrase that best completes this sentence:Je ne t'entends pas. Il faut que tu parlesOA.en franaisOB. voix basseO C.sur scneOD. voix haute 4{h-3[f-6(f-h)]} please help its urgent Because animal migration has been observed by humans throughout history, we still donot fully understand how animals are able to accurately and consistently navigate greatdistances,A because B. althoughC. howeverD. sinceE. I don't know How did the consumer revolution help cause the Great Depression? A.) Americans invested heavily in real estate opportunities. B.) Americans purchased large quantities of imported goods. C.) Americans earned high wages in the industrial and service sectors. D.) Americans used credit to purchase household and luxury items. Solve for t.-35 = 7tO t= -5Ot=-O t = 28Of = 42 PLS HELP PLS PLS PLS WILL MARK BRAINLIEST select the table representing a Linear function. (graph them if necessary) Evaluate the expression (1/4) {x(2y+3z)} when x=8, y=3, and z=2 Which of the following methods can be used to find the derivative of y = arcsin x with respect to z ? |. Use the quotient rule to differentiate II. Use the chain rule to differentiate sin(arcsin x) = 2. III. Use implicit differentiation to differentiate the function y in the relation sin y = x with respect to z. A) I only B) Ill only C) II and III only D) I, II, and III Explain oscillationPls help ty!