please help

solve the formula for r. suppose a merry-go-round is spinning once every 3 seconds. is the point on the outside edge has a speed of 12.56 ft per second, what is the radius of the merry-go-round? (use 3.14 for π)​

Answers

Answer 1

Answer:

  6 feet

Step-by-step explanation:

The circumference is given by ...

  C = 2πr

Since we travel that distance in 3 seconds, our speed is ...

  2πr/3 = 12.56 . . . . . . feet per second

  6.28/3r = 12.56 . . . . using 3.14 for π

  r = 12.56(3/6.28) = 6

The radius of the merry-go-round is 6 feet.


Related Questions

James just moved to a new home. He made a graph showing the number of boxes in each room.




James moved 3 boxes from the living room to the bedroom.
After James moved those 3 boxes, which two rooms had the same number of boxes?
Choose 2 answers:
Choose 2 answers:

(Choice A)
A
Living room

(Choice B)
B
Kitchen

(Choice C)
C
Bathroom

(Choice D)
D
Bedroom

Answers

Answer:

B and D

Step-by-step explanation:

Kitchen and Bedroom will have same number f boxes after James moved 3 boxes from the living room to the bedroom.

The kitchen and the bedroom will have the same number of boxes

How to determine the rooms?

The key on the graph implies that:

1 image represents 3 boxes

Using the above key, we have:

Living room = 9 boxesKitchen = 15 boxesBedroom = 12 boxesBathroom = 3 boxes

When 3 boxes are moved from the living room to the bedroom, we have:

Living room = 6 boxesKitchen = 15 boxesBedroom = 15 boxesBathroom = 3 boxes

Hence, the kitchen and the bedroom will have the same number of boxes

Read more about charts at:

https://brainly.com/question/24741444

#SPJ9

Plss help mee
you need to show your work
At the school's fall bake sale, all of the pies were cut into 6 pieces, so each person who bought a piece bought 1/6 of a pie. Each slice of pie sold for $1.00. How much money did the school make if all eleven pies were sold? (In other words, find 11 divided by 1/6 .)​

Answers

Answer:

66.00

Step-by-step explanation:

eleven pies have 6 slices each

Multiply 6 by 11 to get 66

66x1.00=66.00

7% of 500 is use the percent formula A=PB A is percent of B

Answers

9514 1404 393

Answer:

  35

Step-by-step explanation:

A = PB

A = (7%)(500) = 0.07×500 = 35

35 is 7% of 500

_____

You can think of the % symbol as being a shorthand way to write /100. That is, ...

  7% = 7/100 = "seven hundredths" = 0.07

Joe has $6.40 in nickels and quarters. He has two more nickels than quarters. How many quarters does Joe have?

Answers

Answer:

Quaters - Q=12

Dimes - D=10

Nickels - N= 48

Step-by-step explanation:

First, notice that $6.40 = 640 cents. The corresponding linear equation and a solution is shown below in several steps:

Original equation for amount of Dimes (D):

10*D  + 25*(D+2) +5*4*(D+2) = 640

Simplified as following, resulting in the answer for D:

55*D=550

D=10

thus having the amount of Quarters:

Q=12

and correspondingly, amount of Nickels:

N= 48

Answer:

Quarters = 12

And correspondingly, amount of Nickels:

Nickels = 48

lf x = 4 and y = 7, evaluate the following expression:
3(x + y)

Answers

3(4+7)

Simplify

3(11)

Multiply

3 x 11 = 33

So, the answer is 33.

find the zeros of x^4-10x^3+35x^2-50x+24=0

Answers

Photo is attached.

Sorry my writing is so messy, but basically I found all possible zeros by finding the factors of 24:

(Positive or negative) 1,2,3,4,6,8,12,24

Then, using remainder theorem (when you plug potential zeros into the x values to see if the equation will equal zero) I found out that 1 made the equation equal zero, and therefore was a zero.

Then I used synthetic division to make the equation smaller (I also used 2 because I found out that it was a zero using remainder theorem, same as how I found out 1)


Once I divided it small enough to factor, I simply factored it to find the last 2 zeros

(I didn’t explain everything 100% bc I don’t know how much of this you have learned so if you want clarification on something let me know)

Answer:

x=1 or x=2 or x=3 or x=4

Step-by-step explanation:

x4−10x3+35x2−50x+24=0

Step 1: Factor left side of equation.

(x−1)(x−2)(x−3)(x−4)=0

Step 2: Set factors equal to 0.

x−1=0 or x−2=0 or x−3=0 or x−4=0

x=1 or x=2 or x=3 or x=4

A tree casts a shadow of 24 ft. At the same time, a 6 ft adult casts a shadow of 2 ft. what is the hight of the tree?

Answers

Answer: 8ft tall

Step-by-step explanation:

6/2=3

24/3=8

so the tree is 8ft tall

The sum of the BLANK of the plane figure is called the perimeter

Answers

Answer:

sides

Step-by-step explanation:

The perimeter is equal to the sides of the plane figure all added together.

Find the value of n.
3+ (2 + 8) = (3 + 2) + n

Answers

Answer: n=8

Step-by-step explanation: 3+2+8=13

3+2=5 so 13-5=8

Answer:

n=8

Step-by-step explanation:

PEMDAS:

Solve out each side then subtract 5 from the side with n.

Work:

3+(2+8)=(3+2)+n

3+10=5+n

13=5+n

8=n

−4y−4+(−3) .........................................................

Answers

the answer is -4y - 7

whats 1.07 x 30 in standard form

Answers

Answer:

The simple answer is 32.1

Step-by-step explanation:

It might look easier if you add 1 x 30 and 0.07 x 30.

Answer:

The correct answer is 32.1

Step-by-step explanation:

Is -13 a natural number whole number integer rational number irrational number or a real number

Answers

Answer:

-13 is an integer, a rational number and also a real number

Step-by-step explanation:

-13 is an integer, a rational number and also a real number

could you pls help me i have the question in the picture ok

Answers

Step-by-step explanation:

the answer is 44 you have to multiply 3 and 11 and you'll get 8 then calculate 33-8 and then subtract and then you get 25 so you put 44

The answer is 44 bc you multiply all the numbers and you get that
Have a good day !!!

The health of employees is monitored by periodically weighing them in. A sample of 54 employees
has a mean weight of 183.9 lb. Assuming that o is known to be 121.2 lb, use a 0.10 significance level
to test the claim that the population mean of all such employees weights is less than 200 lb.

Traditional Method

I need to know how to do the Traditional way with a step by step because I am not understanding it at all.

Answers

Let me know when you get here I’m already here

Solve for Z please will give brainliest

Answers

Answer:

z=6

Step-by-step explanation:

32=12+4(z-1)=

32=12+4z-4

32=8+4z

24=4z

6=z

A rectangle has a length of 3x – 1 and a width of 2x + 4. Find the perimeter of this rectangle. Then find the area of the rectangle.

Answers

Answermmm

Step-by-step explanation:

fff

Answer:

Area:

(3x-1) * (2x+4) = 6x² + 10x - 4

Perimeter:

((3x-1)*2) + ((2x+4)*2) = 10x + 6


A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What
are the measures of those two angles?

Answers

Step-by-step explanation:

Need to FinD :

We have to find the measures of other two angles of triangle.

[tex] \red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}[/tex]

We know that,

The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.

Angle sum property,

The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.

[tex]\rule{200}{3}[/tex]

[tex] \sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}} [/tex]

∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

[tex]\rule{200}{3}[/tex]

Second AnglE :

3x3 × 1030°

∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

[tex]\rule{200}{3}[/tex]

Third AnglE :

14x 14 × 10140°

∴ Hence, the measure of the third angle of the triangle is 140°.

what is alergbra about and why ?

Answers

Answer:

Simply put, algebra is about finding the unknown or putting real life variables into equations and then solving them. ... Algebra can include real numbers, complex numbers, matrices, vectors, and many more forms of mathematic representation

Step-by-step explanation:

Given an equilateral triangle with side lengths 18 cm. What is the height of the triangle?
O 18 cm
O 9 cm
o 93 cm
O 183 cm

Answers

Step-by-step explanation:

If you draw an altitude of the right triangle, you get that the legs are (18/2)=9 and the height (which I'll call x) and a hypotenuse of 18.

By the Pythagorean theorem,

[tex] {9}^{2} + {x}^{2} = {18}^{2} \\ 81 + {x}^{2} = 324 \\ {x}^{2} = 243 \\ x = \sqrt{243} = 9 \sqrt{3} [/tex]

Evaluate the algebraic expression d - b when b = 3, d = 12, h = 2 and r = 7.

Answers

Answer:

Step-by-step explanation:

d-b

d=12

b=3

12-3

=9

hope dis helps

if 8 times a number is added to twice the​ number, the result is 80.

Answers

8 times a number = 8 x x = 8x
Twice the number = x + x = 2x
8x + 2x = 80
10x = 80
Divide through by 10
x = 8

Where x is the number

Find the sum of the first 45 terms of the following series, to the nearest integer. 2,11, 20, ...​

Answers

Answer:

[tex]S_{45}[/tex] = 9000

Step-by-step explanation:

there is a common difference between consecutive terms , that is

11 - 2 = 20 - 11 = 9

this indicates the sequence is arithmetic with nth term

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 2 and d = 9 , then

[tex]S_{45}[/tex] = [tex]\frac{45}{2}[/tex] [ (2 × 2) + (44 × 9) ]

    = 22.5(4 + 396)

    = 22.5 × 400

    = 9000

what is the volume of 1.5ft , 3ft , 5ft

Answers

Answer:

22.5

Step-by-step explanation:

To find volume, you need to multiply all of the numbers together.

1.5 ft x 3 ft x 5 ft = 22.5

solve for x x/-4=-1.11​

Answers

The answer is x= 4.44

which fractions equal three? need help ASAP.

Answers

Answer:

anything that has a numerator three times greater than its denominator. Examples: 3/1, 6/2, 9/3, 12/4, 15/5, so on.

Step-by-step explanation:

When simplifying, you divide both by the denominator and if it equals three, then the fraction is equal to three.

Jack is 4 times as old as Lacy. 9 years from now the sum of their ages will be 63. How old are they now?
Jack is
years old while Lacy is
years old.

Answers

Answer:

jack is 54 and lacey is 13.5. I think

Step-by-step explanation:

Let Jack be J and Lacy be L.

First equation:   J=4L

Second equation:    (J+9)+(L+9)=63

Solving using substitution:

4L+9+L+9=63

5L+18=63

5L= 45

L = 9

L=9 and J=4L  = 4*9 = 36

 

So Jack is 36 years old and Lacy is 9 years old.

Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 13 of the 62 boxes on the shelf have the secret decoder ring. The other 49 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the secret decoder ring?

Answers

Answer:

I'm pretty sure it is 7.4% or 0.074.

Step-by-step explanation:

Answer:

0.041 = 4.1%

Step-by-step explanation:

The probability the first box has a secret decoder ring is 13/62.

The probability the second box has a secret decoder ring is 12/61.

The probability of both is:

P = (13/62) (12/61)

P ≈ 0.041

which expression has the greatest value?
1. 4 - 2^-2
2. 4 - 2^2
3. 4(-2)^2
4. -4(-2)^2​

Answers

3nomber is right

Is it helpfui

I think its 3! ^w^

Sawarasenai kimi wa shoujo na no?~

What is the sum of -6 4/5 and -6 4/5

Answers

Answer:

i may be correct or not, i am not sure

Step-by-step explanation:

-34/5+-34/5 is -68/5 which is 13 3/5

Answer:

-13[tex]\frac{3}{5}[/tex]

Step-by-step explanation

[tex]-6\frac{4}{5} + -6\frac{4}{5}[/tex]                          

calculate

-13[tex]\frac{3}{5}[/tex]

3. Suppose a serial number must consist of four different digits, followed by two
different letters. How many different serial numbers are possible?

Answers

Answer: 6,760,000 different possible serial numbers.

Step-by-step explanation: There are 10 digits numbered 0 to 9. There are also 26 letters in the alphabet. Using this, we can do 10*10*10*10*26*26 as there are four digits needed and two letters. This computes to approximately 6,760,000 different possible serial numbers, assuming no other factors are involved.

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