A merry go around has a radius of 18 ft. If a passenger gets on a horse located at the edge of the wheel and travels 38ft, find the angle of rotation to the nearest degree

Answers

Answer 1

Answer:

121 degrees

Step-by-step explanation:

Given

Radius r = 18ft

Length of the arc = 38ft

Required

angle of rotation

Using the formula

Length of an arc = theta/360 * 2πr

Substitute the given data

38 = theta/360 * 2π(18)

38 = theta/360 * 113.04

theta/360 = 38/113.04

theta/360 = 0.33616

theta = 0.33616 * 360

theta = 121.02

Hence the angle of rotation to the nearest degree is 121 degrees


Related Questions


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

QPN and TSU

Step-by-step explanation:

They're both exterior angles and they are both alternate to each other.

Find the range of the data

5,9,13,6,4,5,8,12,12,6

Answers

Answer:

9

Step-by-step explanation:

highest value: 13

lowest value: 4

13-4= 9 which is the range

Answer: 9

Step-by-step explanation: 13-4=9

Erik is an RN at the hospital. He gets a standard rate of pay for 40 hours. He gets 175% of that rate for overtime. One week Erik works his
regular 40 hours and has 16 hours of overtime. He makes $680 that week.
Which equation would solve for the standard rate of pay?

Answers

Answer:

40R+16 (1.75r)= $680

Step-by-step explanation:

Trust me

In the expression 8 × ( 13 − 8 ) ÷ 4 + 5 , what is the first computation that should be completed?

Answers

Answer:

(13-8)

Step-by-step explanation:

It is in parenthesis which is the first thing you complete because PEMDAS ✨

the answer must be (13-8)

PLEASE HELP! I WILL GIVE YOU BRAINLIEST

Answers

Answer:

A(-3,-4)

B(-1,-2)

C(-4,-1)

how might the area of a room affect the way the room is used?​

Answers

Answer:

The more area a room has the more things you can put in it

Step-by-step explanation:

The area of a room can affect how the room is used based on what you can put in the room or what fits in the room. Like a bedroom or office. If you have a room in your house that is supposed to be a bedroom but isn’t truly big enough to be a bedroom, you could turn it into an office.

Don’t understand could I get some help pls :)

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Parallel lines.

We must first understand that, Parallel Lines always have a same Slope, hence the 'm' value in y=mx+c equation will same, here it is '1/2' in the above equation,

so the points here are (-6,-17)

==>

(y-(-17)) = m(x-(-6))

==>

here m = 1/2 ,hence

y+17 = 1/2(x+6)

==> y+17 = 1/2(x) + 3

==> y = 1/2(x) + 3 - 17

==> y = 1/2(x) - 14

hence the Option 4.) is the correct answer!!

Mr. Esposito is 5 foot 11 inches tall. Mrs. Humbert is 63 inches tall. Who is taller and by how much?

Answers

Answer:

Mr. Esposito is taller By 8 inches

Step-by-step explanation:

5 feet and 11 inches is equal to 71 inches. And 71 inches is greater than 63 inches. Therefore, Mr. Esposito is taller.

(71-63=8)

DON'T FORGET TO DOUBLE-CHECK!

Answer:

Mr. Esposito is taller by 8 inches

Step-by-step explanation:

Mr. Esposito

12x5 = 60 + 11 = 71

Mrs. Humbert

63 inches = 5 foot and 3 inches

71 - 63 = 8

what is the measurement?

Answers

this question involves trig

sinx=p/h -----> some people have  

cosx=b/h ----> curly brown hair  

tanx=p/b -----> through proper brushing

we have p and h in this question so we can use the first formula

[tex]sinx=\frac{23}{28} \\x=sinx^{-1} \frac{23}{28} \\x=55.2[/tex]

Answer:

55.2

Step-by-step explanation:

sinx= 23/28

multiple both sides by inverse sin

x= sin^-1(23/28)

x= 55.2

A plane is traveling at a constant rate described by d = 525t where d is the distance and t is the time. What is the constant of proportionality?

Answers

Answer:

50 points

Step-by-step explanation:

Answer:

525 is the constant of proportionality

Step-by-step explanation:

Brady started to fill the box shown with some unit cubes.

Enter the total number of unit cubes needed to completely fill the box.Include the unit cubes already shown in your total.



Answers

Answer:

210

Step-by-step explanation:

Step 1: 6 rows and 6 columns each side so 6*6=36

Step 2: we have 6 sides so 36*6=216 cubes

Step 3: substract 6 cubes from the total since each row and column shares the same cube 216-6=210 cubes

The total number of unit cubes is A = 210 cubes and volume is V = 216 units³

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the height of the rectangle be = 6 units

Let the length of the rectangle be = 5 units

And , let the width be = 7 units

So , Volume of Rectangle = Length x Width x Height

V = 6 x 5 x 7

V = 210 units³

Hence , the number of unit cubes is A = 210

To learn more about volume of rectangle click :

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3p + 10 = 2p + 21

a. 15
b. 17
c. 11
d. 21​

Answers

Answer:

c.  11

Step-by-step explanation:

3p + 10 = 2p + 21

Subtract 2p from both sides.

3p - 2p + 10 = 2p - 2p + 21

Simplify.

p + 10 = 21

Subtract 10 from both sides.

p + 10 - 10 = 21 - 10

Simplify.

p = 11

Answer: c.  11

Answer:

c.11

Step-by-step explanation:

3+10=2+21

3+10−10=2+21−10

3=2+11

3−2=2+11−2p

=11

hope this helps

have a nice day

In ΔSTU, u = 890 cm, t = 810 cm and ∠T=38°. Find all possible values of ∠U, to the nearest degree.

Answers

Answer:

Answer: 43  and 137  

Step-by-step explanation:

Delta math ez

A small plane is 4 miles by land away from the airport. The angle of elevation from the airport to the airplane is 6.50? What is the altitude of the plane? Round your answer to the nearest tenth of a mile. 0.1 mile b. 0.5 mile 35.1 miles d. 8.6 miles​

Answers

Answer:

tana=h/x

tan6.5=h/4

h=4tan6.5

h=0.5 mi

Step-by-step explanation:

I hope this helps u! :D

Area & Surface Area:Question 10

What is the area of the right triangle shown in the image?
7 4 Select one:

A. 22 units?
B. 11 units
C. 14 units
D. 28 units​

Answers

Answer:

D

Step-by-step explanation:

12) What type of triangles will always be similar to one another?

Answers

Answer:

Right

Step-by-step explanation:

Answer: Two equilateral triangles are always similar.

Step-by-step explanation:

The Colvilles are buying a new car. The cash price is $35,000.00. They will make a down payment of 20% or $5,000. The balance will be covered by an installment loan. The loan will be repaid in 48 monthly payments of $651. The annual percentage rate for the loan is
%. (Round your answers to two decimal places.)

Answers

9514 1404 393

Answer:

  2.01% for a down payment of $5000

  5.49% for a down payment of 20%

Step-by-step explanation:

There is no formula for the APR of a loan, given its other parameters. The value must be found using iterative or graphical means. The attached shows a graphical solution for each of the two cases for a 4-year loan.

  For 20% down payment, APR ≈ 5.49%

  For $5,000 down payment, APR ≈ 2.01%

Answer:

2.01% for a down payment of $5000

 5.49% for a down payment of 20%

Step-by-step explanation:


I WILL GIVR U BRAINERLEST AND A LIKE

The windows in an office building are
shaped like parallelograms. The base of
each window is 1.8 meters and the
height is 1.5 meters. What is the area
of each window?

Answers

Answer:2.7

Step-by-step explanation:

Just multily the 2 products

Which value of m makes the equation true?
8+m=27
Hurry I need an answer!!!!

Answers

Answer:

19

Step-by-step explanation:

given that 8 + m = 27

we need to find m

we can do this by isolating the variable using inverse operations

8 + m = 27

we want to get rid of the 8 in 8 + m

The opposite of addition is subtraction

So we want to subtract by 8 but remember what ever we do to one side we want to do to the other side

So we subtract 8 from each side

8 - 8 cancels out

27 - 8 = 19

we're left with m = 19

What is the answer to 3/4= 6

Answers

Answer:

False

Step-by-step explanation:

I don't know how to do this. Any help?

Answers

Answer:

cos 37=x/b (second one)

sin 37= a/b (third one)

tan 37=a/x (sixth one)

Step-by-step explanation:

Cos is defined by the adjacent side over the hypotenuse. Cos 37 would be x/b. Clearly, that is option 2. Sin is defined by opposite over hypotenuse. Sin 37 would be a/b. That is the 3rd option. Tan is defined by opposite over adjacent. Tan 37 would be a/x or the 6th option.

Mia found the area of a polygon The area is 32 square cm.

Which of these polygons has an area of 32 square cm?

Answers

Answer:

Only the isosceles trapezoid has an area of 32 cm².

Step-by-step explanation:

Let's calculate the area of each polygon.

For the two triangles we have:

[tex] A_{t} = \frac{bh}{2} = \frac{2 cm*4 cm}{2} = 4 cm^{2} [/tex]

This polygon does not have an area of 32 cm².

For the rectangle we have:

[tex] A_{r} = bh = 6 cm*4 cm = 24 cm^{2} [/tex]

This polygon does not have an area of 32 cm².

For the rectangle trapezoid we have:

[tex] A_{rt} = A_{t} + A_{r} = (4 + 24) cm^{2} = 28 cm^{2} [/tex]

So, this polygon does not have an area of 32 cm².

Finally, for the isosceles trapezoid:

[tex] A_{it} = A_{t}*2 + A_{r} = (4*2 + 24) cm^{2} = 32 cm^{2} [/tex]

This polygon does have an area of 32 cm².

   

Therefore, only the isosceles trapezoid has an area of 32 cm².

I hope it helps you!                              

Which is the graph of linear inequality x + 2y <= 12

Answers

X+2y=12
X+2y=12-12
X+2y-12=0

Answer:

B

Step-by-step explanation:

i got a 95% so i thinks its right

In a math class with 21 students, a test was given the same day that an assignment was due. There were 12 students who passed the test and 14 students who completed the assignment. There were 4 students who failed the test and also did not complete the assignment. What is the probability that a student completed the homework given that they failed the test?

Answers

Answer:

5/9

Step-by-step explanation:

The given is students that failed the test. 5 students completed the homework and failed the test and there is a total of 9 students who failed the test. So, the answer would be 5/9

Using it's concept, it is found that there is a 0.5556 = 55.56% probability that a student completed the homework given that they failed the test.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 21 - 12 = 9 students who failed the test, and of those, 9 - 4 = 5 completed the homework, hence the probability is given by:

p = 5/9 = 0.5556.

0.5556 = 55.56% probability that a student completed the homework given that they failed the test.

More can be learned about probabilities at https://brainly.com/question/14398287

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$500 at 12% for 6 months (0.5 years) Find the interest

Answers

Answer:

Step-by-step explanation:

500(.12)(.5)= $30 interest

Plzzz help asappppppoppp

Answers

Answer:

C

Step-by-step explanation:

The area of the rectangle below is 18 square units. What is the width of the rectangle? if the length is 3 3/4

Answers

Answer:

5.76 units

Step-by-step explanation:

3 3/4= 3.125

18÷3.125=5.76

Sorry if I'm wrong.

Please mark me as Brainliest.

CAN ANYONE HELP ME ASAP AND THANKS:)

Answers

Answer:

true, true, false

Step-by-step explanation:

the sales do not decrease between week 4 and 5

Answer:

The answer is True, True, False

Step-by-step explanation:

For the first one, it is true because if you look on the graph, on the bottom or the x-axis, it is labeled "weeks". If you pay attention to when the line on the graph is, you will se that it is a straight line through weeks 1 and 2, so number one is true.

For the second one, it is also true because on the graph, you can see the the line starts to go upwards or increase. While the line is doing that, you can look right under it and see that it is passing through weeks 3 and 4, so that is True.

For the last one, it is false because on the graph, the line keeps going upwards for weeks 5 and 6, and the statement says that it is decreasing or going down, which is incorrect, so finally, the last question is false.

Hope this helps!

Use the equation to answer the question . x + 9 + 2x = 3x + 11 How many solutions does the equation have? ОА. Ano solutions O solution c two solutions O infinitely many solutions​

Answers

Answer:

No solution

Step-by-step explanation:

Add x and 2x.

3x+9=3x+11

Move all terms containing x to the left side of the equation.

Subtract 3x from both sides of the equation.

3x+9−3x=11

Combine the opposite terms in

3x+9−3x.

Subtract 3x from 3x.

0+9=11

Add 0 and 9.

9=11

Since 9≠11, there are no solutions.

Hope it is helpful....

Answer:

Answer:

No solution

Step-by-step explanation:

Add x and 2x.

3x+9=3x+11

Move all terms containing x to the left side of the equation.

Subtract 3x from both sides of the equation.

3x+9−3x=11

Combine the opposite terms in

3x+9−3x.

Subtract 3x from 3x.

0+9=11

Add 0 and 9.

9=11

Since 9≠11, there are no solutions.

Hope it is helpful....

diavinad8 and 7 more users found this answer helpful

THANKS  

5

5.0

(2 votes)

56

Step-by-step explanation:

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Ms. Jaffey had a total of 428.5 ounces of pretzels to put into 5 bowls for a party. She put an equal number of ounces of pretzels into each bowl. How many ounces of pretzels did Ms. Jaffey put into each bowl?

Answers

Multiply the 2 numbers and see what you get

Ms. Jaffey put approximately 85.7 ounces of pretzels into each bowl.

To find out how many ounces of pretzels Ms. Jaffey put into each bowl, we need to divide the total number of ounces by the number of bowls.

Ms. Jaffey had a total of 428.5 ounces of pretzels, and she distributed them equally among 5 bowls. Therefore, we can divide the total number of ounces by 5 to determine the amount in each bowl.

428.5 ounces ÷ 5 bowls = 85.7 ounces.

So, Ms. Jaffey put approximately 85.7 ounces of pretzels into each bowl.

Since it's unlikely to have exact measurements when dividing a total quantity into equal parts, we round the result to one decimal place, giving us 85.7 ounces. This means that each bowl contains approximately 85.7 ounces of pretzels.

To learn more about the division;

https://brainly.com/question/13263114

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