How far in feet will a child on the edge of the merry-go-round travel? If r=6 feet, the angle is 310

Answers

Answer 1

Answer:

First some theory we need to solve this problem.

For a circle of radius R, the perimeter is:

P = 2*pi*R

where pi = 3.14

If we have a section of this circle, defined by an angle θ, the length of this arc will be:

A = (θ/360°)*2*pi*R

In the case of the problem, the total distance that the child travels is equal to the length of an arc of 310° in a circle of radius r = 6ft.

Using the above formula, we know that the length of this arc is:

A = (310°/360°)*2*3.14*(6ft) = 32.4 ft


Related Questions

PLEASE HELP ME !!! I NEED HELPPP

Answers

Horizontal is y=4
It an exponential function
The y intercept is (0,14/3)
Domain is (-inf,inf)
Range is the same as domain
Both are negative infinity to positive infinity

Kelly deposited $4,205 in an account for 3.5 years. She earned $662.29 in interest. What interest rate did the bank pay her?

Answers

Answer:

r = 4.5%

Step-by-step explanation:

Formula:

I = Prt

r = I/(Pt)

Given:

I = 662.29

P = 4205

t = 3.5

Work:

r = I/(Pt)

r = 662.29/(4205 * 3.5)

r = 662.29/14717.5

r = 0.045

r = 4.5%

Which expression represents the relationship between the step number n and the total number of small squares in the pattern?



A pattern of small squares. Step 1 has 0 squares. Step 3 has 3 squares: 2 by 2 but missing the lower right square. Step 3 has 8 squares: 3 by 3 but missing the lower right square.



A.

B.

C.

D.

Answers

Answer: n squared - 1

Step-by-step explanation:

The relationship between the step number {n} and the total number of small squares in the pattern is -

f(n) = 2ⁿ - 1.

What is expression in mathematics?

An expression in mathematics is a combination of terms both constants and variables.

Given is a pattern of small squares as described -

Step 1 has 0 squares.

Step 2 has 3 squares : 2 by 2 but missing the lower right square.

Step 3 has 8 squares : 3 by 3 but missing the lower right square.

We can write the general expression for step {n} as -

Step {n} will have : 2ⁿ - 1 squares with missing the lower right square.

or

f(n) = 2ⁿ - 1

Therefore, the relationship between the step number {n} and the total number of small squares in the pattern is -

f(n) = 2ⁿ - 1.

To solve more questions on expressions, visit the link below -

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Mary saw a bottle of shampoo that cost $7.75 and a bottle of conditioner that cost $5.90.

Estimate the price difference between the conditioner and the shampoo.

Answers

Answer:

$1.85

Step-by-step explanation:

A carnival charges $5 to enter, and $2 per ride. If you paid a total of $23, how many rides did you go on at the carnival?

Answers

Answer:

11.5

Step-by-step explanation:

You divide 2 and 23

But I am not sure

Answer: 9 rides

Step-by-step explanation:

23 dollars minus the five dollars to enter is $18.

$18 is divided by the $2 required to ride each ride.

help help help helpheplheplhepl

Answers

Answer:

1. E

2. D

3. C

4. B

5. E

6. E

7. E

8. E

9. D

Step-by-step explanation:

I hope this helps

Can someone plzzz help me.

Answers

Answer: 17.62

Step-by-step explanation:

5/8 = x/6

All them numbers are fractions
Find X

Answers

Answer:

x = 3.75

Step-by-step explanation:

You need to cross multiply.

First multiply 6 and 5, then divide that by 8.

Good Luck!!

Answer:

Step-by-step explanation:

  hello :

5/8 = x/6  means  :  8x = 30

x = 30/8

Solve The Quadratic Equation by the Square Root Method.

(x + 1)^2-4 = 0

Answers

Answer:

                                 

Step-by-step explanation:

Answer:

x=-3, x=1

Step-by-step explanation:

find the circumference of a circle with a radius of 9.8 in. (urgent)

Answers

Answer: 61.58

Step-by-step explanation:

C = 2 π r = 2 · π · 9.8

π = pi

radius times pi (3.14) times 2 (because two radius makes the diameter)

9.8 times 3.14 times 2 = 61.57522in

Now we round.. 61.58

:) I hope this helps!  

Giving brainlist to whoever answers this question

Answers

Answer:

thanks :)

Step-by-step explanation:

the table shows the number of cups of water required when cooking different amounts of rice​

Answers

Please explain more your question

Which two teams have equivalent
100
ratios of wins to losses?
Team Wins Losses
Leopards
15
10
Pirates
12
8
Knights
14
7
Lions
18
10

Answers

knights!sorry mate i’m kinda trash

Answer:

knights and leopards

Step-by-step explanation

Math question pls help

Answers

Answer:

170 pages

Step-by-step explanation:

Which expression shows the area of the base of each pyramid? (One-fourth x) squared in.2 (One-third x) squared in.2 (One-half x) squared in.2 x2 in.2

Answers

Answer:

(a) [tex]Area = (\frac{x}{4})^2[/tex]

Step-by-step explanation:

The question is incomplete. (See comment for complete question).

From the completed question, we have:

[tex]Total\ base\ length = x[/tex]

[tex]n = 8[/tex] --- number of pyramids

Required

An expression for the area of the base

The total base length of the pyramid represents the perimeter of the base.

And since the base is a square, then the following relationship exist.

[tex]Total\ base\ length = 4L[/tex]

Where L represents the length of each side.

This gives

[tex]4L = x[/tex]

Make L the subject

[tex]L = \frac{x}{4}[/tex]

The area of the base is then calculated as:

[tex]Area = L^2[/tex]

[tex]Area = (\frac{x}{4})^2[/tex]

Answer:

A

Step-by-step explanation:

If a candy bars original price was $2 and the amount of the discount was $0.30 how much is the percent of discount off?

Answers

15% off........................................

in PQR the measure of R=90, QR=61 feet and RP=90 find the measure of P to the nearest tenth.​n​

Answers

If u put a figure it will be more clear

Will mark branliest. What can the maximum number of digits be in the repeating block of digits in the decimal expansion of 1/17? ​

Answers

Answer:

Step-by-step explanation:

Let  n=2α⋅5β⋅m , where  gcd(m,10)=1 . Then, the decimal expansion of  1n  is of the form

0.a1…akak+1…ak+ℓ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯(1) ,

where  k=max{α,β}  and  ℓ  is the least positive integer for which  m∣(10ℓ−1) . In other words,  ℓ  is the order of  10  in the multiplicative group of units modulo  m . So  ℓ∣ϕ(m)  by Lagrange's theorem.

In particular, if  gcd(n,10)=1 , then  α=β=k=0 ,  m=n , and

1n=0.a1…aℓ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯(2)  

Therefore, we know that

117=0.a1…aℓ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯(3)  

Here  ℓ  is the least positive integer for which  17  divides  9…9ℓtimes , and we know that  ℓ  divides  ϕ(17)=16 .

Successively squaring  10  modulo  17  gives

102≡−2(mod17),104≡4(mod17),108≡−1(mod17),1016≡1(mod17) .

So  ℓ=16  in expansion  (3) .

In fact,

a1…a16×17=1016–1.  

a1…a8+a9…a16=108−1 .

The first fact has nothing to do with the denominator  n  being prime. The second fact has everything to do with  n  being prime, and was discovered by E. Midy in  1836 .

The ratio of pink flowers to purple flowers is 4 to 6. If there are 30 pink flowers, how many purple flowers are there?

Answers

So 4/30 = 6/x

Solve for x

4x=180

X=45

45 purple flowers

If there are 30 pink flowers the number of purple flowers will be 45.


What are ratios and proportions?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the ratio of pink flowers to purple flowers is 4 to 6 and there are 30 pink flowers,

The number of purple flowers will be calculated as,

4/30 = 6/x

Solve for x

4x=180

X=45


To know more about ratios and proportions follow

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A transformation in which a graph or geometric figure is picked up and moved to
another location without any change in size or direction.

Answers

Answer:

translation. A transformation in which a graph or geometric figure is picked up and moved to another location without any change in size or orientation is a translation.

PLS HELP MEEEEE!!!!!!!

Answers

Answer:

i think true hehehehehehehhehehehehe

Answer:

True

Step-by-step explanation:

Some people think a long drought may have occurred. However this information is not proven.

Beth has already jogged 3 miles. She plans to jog less than 12 miles. Which inequality can be
used to find the number of miles (m) she has left to jog?
m - 3 < 12
m +3 > 12
m-3 > 12
m+ 3 < 12

Answers

Answer:

The total number of miles Beth plans to jog cant go over 12, and she has already jogged for 3 miles, then she needs to jog for another m miles. This can be written mathematically like: 3 + m < 12.

Step-by-step explanation:

Hope this help! :D

It would probably be D or b but my hopes are really up for d

Regina buys eggs at the local supermarket. They are sold in different quantities and at different prices. The quantities and prices are shown.
Brand A: 6 eggs $1.77
Brand B: 12 eggs $3.75
Brand : 18 eggs $5.24
Brand D: 24 eggs $7.10
Assuming all the eggs are of similar quality, which decision should Regina make if she wants to get the best price per egg?
Help

Answers

Answer:

Brand C

Step-by-step explanation:

Brand A: 1.77/6=$0.30

Brand B: 3.75/12=$0.31

Brand C: 5.24/18=$0.29

Brand D: 7.10/24=$0.30

Based on the price per egg of each brand (calculated above), the best price per egg would be brand C.

Answer and explain how you gotttt it please

Answers

Answer:

x= 17

Step-by-step explanation:

5x-7=3x+27

move 3x to other side by doing the oppostie (subtracting 3x)

5x-7-3x=27

2x-7=27

move -7 to other side by adding it (to the other side)

2x= 7+27

2x= 34

divide by 2 (on both sides) to get x by itself

2x/2=34/2

x= 17

Plsss help again! ( and tysm for the ppl who helped me last time I appreciate it :) /
n have a good day <33!!! ( like again lol!! )

Answers

Answer:

2

Step-by-step explanation:

It's 2 because as you can see in the botton 4/10 and 8/20, 4 x 2=8 and 10 x 2=20. It's like saying you're multiplying the same thing for the top and bottom of both fractions. So, the two fractions on the top with the juice is getting multiplied by 4.

Answer:

2

Step-by-step explanation:

24÷6=4

knowing this you then divide 8 by 4 to get the numerator

8÷4=2

Hello can anyone give me the full answer to this? will give brainiest

Answers

Part 1: 3 forms a right traingle; the rest do not.

Part 2:

7) 8.94

8) 6.71

9) 12.21

10) 7.62

11) 7.28

12) 6.32

Find the volume of a baseball if the diameter is 2.86 inches

Answers

Answer:

8.1796

Step-by-step explanation:

2.86 x 2.86 = 8.1796

what is 2x3x4x2x88x9x112x100x9x2?
;)

Answers

Answer:

7664025600

Step-by-step explanation:

I basically just multiplied first then added the sums. Also you can use a calculator to make sure ur answer is right.

Help me please !!!!!!!!!​

Answers

Answer:

x=6   y=9

Step-by-step explanation:

Im sorry if it didn't help! But goodluck!!!!

Pls pls helppp and thank youuu

Answers

Answer:

Kids

Step-by-step explanation:

Because 62 percent of the kids preferred pencil when only 43 percent of the adults preferred pencils.

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