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

Can somone pls help me with this I have a C- in math and I really need help also a like show work on each one plsss

Answers

Answer:

1. [tex]\frac{3}{8}[/tex]

2. [tex]\frac{1}{4}[/tex]

3a. [tex]-\frac{1}{4}[/tex]

3b. 3

3c. [tex]-\frac{4}{5}[/tex]

4. [tex]m = \frac{y_1 - y_2}{x_1-x_2}\\[/tex]

Step-by-step explanation:

1.

Rises 6 inches for every horizontal change of 16 inches

Slope = rise/run

Slope = 6/16

Slope = 3/8

2.

Rises 3 feet for every horizontal change of 12 feet

Slope = rise/run

Slope = 3/12

Slope = 1/4

3a.

[tex]m = \frac{y_1 - y_2}{x_1-x_2}[/tex]

[tex]m = \frac{3-2}{-2-2}[/tex]

[tex]m = \frac{1}{-4}[/tex]

[tex]m = -\frac{1}{4}[/tex]

3b.

[tex]m = \frac{y_1 - y_2}{x_1-x_2}\\[/tex]

[tex]m = \frac{-1 - 2}{-1-0}[/tex]

[tex]m = \frac{-3}{-1}[/tex]

[tex]m = 3[/tex]

3c.

[tex]m = \frac{y_1 - y_2}{x_1-x_2}\\[/tex]

[tex]m = \frac{1 - (-3)}{-1-4}\\[/tex]

[tex]m = \frac{4}{-5}\\[/tex]

[tex]m = -\frac{4}{5}[/tex]

4.

[tex]m = \frac{y_1 - y_2}{x_1-x_2}\\[/tex]

Silvergrove middle school spent $60 to purchase 4 work books. How many these workbooks can they buy for $90? Solve using unit rates.

Answers

They can buy 6 workbooks with $90. To find the unit rate we simply divide the cost ($60) by the number of books (4). That gives us $15, the cost of 1 workbook. So now to find out how many workbooks can be purchased with $90, we divide 90 by 15. That’s how I got 6 workbooks. Hope this helps.

Using 3.14 for , what is the volume of the cylinder?
O A. 21.771 cubic meters
O B. 32.656 cubic meters
O C. 65.312 cubic meters
O D. 169.811 cubic meters

Answers

65.313 will be the answer

Compete the table to find the unit rate. the table shows how much jazz earns babysitting. What is jazz unit rate per hour? If jazz earned 97.50$ how many hours did she work?

Answers

Answer:

13 hours

Step-by-step explanation:

22.50/3=7.5

52.50/7=7.5

97.50/7.5=13

PLEASE HELP Find the area SHOW YOUR WORK

Answers

Step-by-step explanation:

I don't want the place but the fishy on me

Got a lot to be but the fishy on me

Got a lot to do, I'll slap your knee

Fishy on me, fishy on me

I don't want the place but the fishy on me

Got a lot to be but I'll slap your knee

Fishy 2B but I don't know he

Fishy on me if the fishy 2B

I don't know what the place but the fishy on me

Fishy on me, fishy on me

I don't know the place but the fishy on me

2HB I'll slap your knee  

I'll slap your knee

Fishy on me, a place to be

I don't know what the place but the fishy on me

Fishy on me, I'll slap your knee. fishhhyyyyyyyyyyyyyyyyyyyyyyyyyyy

1. Name an example of a real-world data set, not yet mentioned in the course, where you would typically expect to see a normal distribution. Be sure to describe what the labels would be for the horizontal and vertical axis of the display. Then explain why you would expect a normal distribution. What range of data values would you expect to represent 1 standard deviation from the mean? (15 points; 10 for your answer, 5 for response to others' comments.)​

Answers

Answer:

1.The heights of students in a class, for example, would have a normal distribution. We expect a few students to be extremely tall and a few to be extremely short, but the majority will be in the middle. On the x-axis, we'll have heights, and on the y-axis, we'll have the frequency of the number of students with heights. According to the empirical rule, 68 percent of the data could fall within one standard deviation of the mean.

If y = 4x, x = 2z, and z = 3a, what is the value of y - x in terms of a?
A) -20a
B) -18a
C) 6a
D) 18a
E) 20a
With steps please

Answers

Answer:

D) 18a

Step-by-step explanation:

y - x

= 4x - x (plug y = 4x)

= 3x

= 3(2z) (plug x = 2z)

= 6z

= 6(3a) (plug z = 3a)

= 18a

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

  (a)  ∠HIK and ∠GFD

Step-by-step explanation:

In this geometry, there are only two pairs of alternate exterior angles:

  ∠HIK and ∠GFD

  ∠JIK and ∠EFD

Of these, only the first pair is among the answer choices.

__

Alternate exterior angles are ones that are outside the parallel lines, and on opposite sides of the transversal.

\Ih -what is the square root of 14161​

Answers

Answer:

The answer is 119

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

There is a reason why the answer is 119

First, lets take a look at your perfect squares chart ( by tens )

10 x 10 = 100

20 x 20 = 400

30 x 30 = 900

40 x 40 = 1600

50 x 50 = 2500

60 x 60 = 3600

70 x 70 = 4900

80 x 80 = 6400

90 x 90 = 8100

100 x 100 = 10000

110 x 110 = 12100

120 x 120 = 14400

we know that 12100 < 14161 < 14400, so it has to be in between the square root of 110 and the square root of 120

111 x 111 = 12321

112 x 112 = 12544

113 x 113 = 12769

114 x 114 = 12996

115 x 115 = 13225

116 x 116 = 13456

117 x 117 = 13689

118 x 118 = 13924

119 x 119 = 14161

We found out that the square root of 119 = 14161

Therefore, the square root of 119 = 14161

If you want to find out a quicker way to do this, comment me below

Anyone know the answer?

Answers

Answer:

12.4

Step-by-step explanation:

Find 0% of 200:

Find 100% of 200:

Find 50% of 200:

Find 25% of 200:

Find 75% of 200:

Answers

Answer:

0

200

100

50

150

Step-by-step explanation:

0% of 200 = 0

100% of 200

= ( 100 / 100 ) x 200

= 1 x 200

= 200

50% of 200

= ( 100% of 200 ) / 2

= 200 / 2

= 100

25% of 200

= ( 50% of 200 ) / 2

= 100 / 2

= 50

75% of 200

= ( 75 / 100 ) x 200

= ( 75 x 200 ) / 100

= 75 x 2

= 150

What is the solution to 9 x 9?

Answers

Answer:

81

Step-by-step explanation:

dude, it's one of the fast facts

Answer:

81

Step-by-step explanation:

We can round one of the 9's to ten then multiply it

9*10=90

then subtract the 9 that we added

90-9=81

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Hint: the sample proportion ( p hat) is x/n. n=195, x= 162; 95% confidence

Answers

Answer:

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. 16)n = 182, x = 135; 95 percent

✓ 16)n = 182, x = 135; 95 percent sample proportion: p-hat = 135/182 = 0.74 E = 1.96*sqrt[0.74*0.26/182] = 0.0637 95% CI: 0.74-0.0637 < p < …

PLEASE HELP ME :C ...

Answers

Answer:

B) a²-(2*4)

Step-by-step explanation:

Since we are looking for the gray area only, we need to find the total area of the figure, but subtract that from the area of the unshaded area.

The total area of the figure is a*a=a²

The area of the unshaded figure is 2*4=8 units^2

This means the gray area is a²-(2*4) units^2, making B correct

If ∠X and ∠Z are complementary, and the measure of ∠Z is 45°, what is the measure of ∠X?

Answers

Answer:

The measure of ∠X is 45°.

Step-by-step explanation:

Complementary angles are two angles that have a sum of 90°.

I subtracted 45 from 90 (90-45) and got 45°.

helpppppppppppp meee

Answers

Answer:

-8

Step-by-step explanation:

Plz give brainliest

i dont have any

-8 is the correct answer!-1 - 7is the same as-1 + -7

If we have 9 candy bars and each student gets 1/3 candy barwith 10 students, how much of a sandwich does each student get? Explain using examples or drawings. PUT AN AWNSER THAT MAKES SENSE IF YOU DONT TYPE IN A AWNSER THAT MAKES SENSE DONT LOOK FOR ANY BRAINLYIEST OR POINTS!!!! AWNSER IT SERIOUSLY!!!!!!!

Answers

Answer:

.......................................... k

Step-by-step explanation:

5.
3. The Manhattan Island Cruise Company sold 57
tickets for its Circle-the-Island Cruise. Each adult had
to pay $22 for the cruise and each child had to pay
$10. The company's total receipts were $774. How
many children went on the cruise?

Answers

Answer:

40 children went on the cruise.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of adults on the cruise

y is the number of children on the cruise.

57 tickets were sold:

This means that [tex]x + y = 57[/tex], and since we want the number of children y, [tex]x = 57 - y[/tex]

Each adult had to pay $22 for the cruise and each child had to pay $10. The company's total receipts were $774.

This means that:

[tex]22x + 10y = 774[/tex]

Since [tex]x = 57 - y[/tex]

[tex]22(57 - y) + 10y = 774[/tex]

[tex]1254 - 22y + 10y = 774[/tex]

[tex]12y = 480[/tex]

[tex]y = \frac{480}{12}[/tex]

[tex]y = 40[/tex]

40 children went on the cruise.

I need to know what one to pick I will send an image to go with it ​

Answers

Answer: um do you need help because I don’t see the question or the picture you are talking about..

Step-by-step explanation:




Bobby filled a bucket with 5/6 gallon of water and 1/12 gallon of juice. What
is the total amount of liquid Bobby put in the bucket?
+
А. 1/3
B.5/6
C.3/4
D.11/12

Answers

Hi,

To add two fraction, they must have  the same denominator.

So  5/6  =  10/12

Now :   10/12 + 1/12 = 11/12

Answer:

D is the correct option

hope it helps you

please mark me as brainlist

Given Angle 1 =xº and angle 2 = (x +50)°.
Find the value of x. Then find angle 1 and 2

Answers

Answer:

x=65

Angle 1=65

Angle 2=115

Step-by-step explanation:

We know that angle 1 + angle 2 = 180. Writing it in terms of x, we get x + (x + 50)= 180. Then you have 2x+50=180. Subtracting 50 from both sides gives you 2x=130. Dividing both sides by 2, you get x=65. Angle 1 is 65 degrees. 180-65=115.

Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express.coordinates as fractions, using the slash
mark ( / ) for the fraction bar.
(-1,5) (5,5)

Answers

Answer:

(2,5)

Step-by-step explanation:

(Xm, Ym)= ( (x1+x2)/2, (y1+y2)/2 )

= (5 + (-1))/ 2, (5+5)/2

= (4)/2, (10)/2

= 2, 5

Help on this math question. 25 points.

Answers

Answer:

the third one

Step-by-step explanation:

X=180-(67+52) this is the correct answer

A local city collects 8% sales tax. If the
total purchase was $216.00, then how
much was collected for sales tax?

Answers

Answer:

156.00

Step-by-step explanation:take away 8% sales tax away from it

DONT SCAM ME WITH A LINK

Answers

Answer: 2

600/3 = 200 meaning that each gallon of paint covers 200 sq ft

If Jim works at Fire Fighting Equipment, has $32,874 in sales in one week,
and as paid a weekly salary of $452 plus a commission of .9% on sales
between $15,000 and $25,000, with 1.1% paid on sales in excess of
$25,000, no commission is paid on the first $15,000, what is his gross
earning?

Answers

Gross income= $813.61
Step-by-step explanation:
Giving the following information:
Sales= $32,874
Fixed salary= $452
Commission= 1.1% paid on sales in excess of $25,000.
To calculate the gross income, we need to use the following formula:
Gross income= 452 + y*x
y= percentage comission
x= sales
For $32,874 sales:
Gross income= 452 + 0.011*32,874
Gross income= $813.61

____________________

Answers

Answer:

the equation for that line would be y=0

Step-by-step explanation:

The slope is 0 so if one were to plug in 0 as a slope to y=mx+b you would get y=0x which can be simplified to y=0. Hope this helped. :)

Find 110.9% of 133. Round to the nearest hundredth.

Answers

Answer:

147.50

Step-by-step explanation:

It is easy to set up the equation as a “butterfly”

x/133 = 110.9/100

cross multiply:

133(110.9)=100x

14749.7=100x ————-divide by 100 to get x alone

147.497 which would round to 147.50

Answer:

147.50

Step-by-step explanation:

BIG BRAIN AND MENTAL MATH

Here are summary statistics for randomly selected weights of newborn​ girls: n=250​, x_=32.9 ​hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a ​95% confidence level. Are these results very different from the confidence interval 31.9 hg < μ < 34.5 hg with only 19 sample​ values, x_ = 33.2​hg, and s = 2.9 ​hg?

Answers

Answer:

Step-by-step explanation:

Here are summary statistics for randomly selected weights of newborn​ girls: n=250​, x_=32.9 ​hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a ​95% confidence level.

The confidence interval of mean

=32.9 ± 1.96 × 6.9/250

Confidence Interval = 32.9 ± 0.5382

A plane flies against the wind 288 miles from Los Angeles to San Jose and then returns home with the same wind. The wind speed is 60 mph. If the total flying time was 2 hours, what is the speed of the plane?

Answers

Answer:

The speed of the airplane is 300 miles per hour.

Step-by-step explanation:

Let consider that plane travels at constant speed, which is the sum of the velocity of the plane in still air (velocity of the plane relative to wind) and the velocity of the wind. Hence, the total time spent by the plane is described by following kinematic formula:

[tex]t = s\cdot \left(\frac{1}{v_{P}-v_{W}}+\frac{1}{v_{P}+v_{W}} \right)[/tex] (1)

Where:

[tex]t[/tex] - Total time, in hours.

[tex]s[/tex] - Distance between Los Angeles and San Jose, in miles.

[tex]v_{P}[/tex] - Velocity of the plane in still air, in miles per hour.

[tex]v_{W}[/tex] - Velocity of the wind, in miles per hour.

Then, we proceed to simplify the formula and clear the speed of the plane in still air:

[tex]\frac{t}{s} = \frac{2\cdot v_{P}}{v_{P}^{2}-v_{W}^{2}}[/tex]

[tex]\left(\frac{t}{s}\right)\cdot (v_{P}^{2}-v_{W}^{2}) = 2\cdot v_{P}[/tex]

[tex]\left(\frac{t}{s} \right)\cdot v_{P}^{2} - 2\cdot v_{P}- \left(\frac{t}{s} \right)\cdot v_{W}^{2} = 0[/tex]

Which is a Second Order Polynomial, whose roots can be found analytically by Quadratic Formula. If we know that [tex]t = 2\,h[/tex], [tex]s = 288\,mi[/tex] and [tex]v_{W} = 60\,\frac{mi}{h}[/tex], then we have the following polynomial:

[tex]\frac{1}{144}\cdot v_{P}^{2}-2\cdot v_{P} -25 = 0[/tex]

The two roots associated with this polynomial are, respectively:

[tex]v_{P,1} = 300\,\frac{mi}{h}[/tex], [tex]v_{P,2} = -12\,\frac{mi}{h}[/tex]

Since speed is the magnitude of velocity, then solution must be positive. First root satisfies all these conditions.

In a nutshell, the speed of the airplane is 300 miles per hour.

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