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

No links just answer
Simplify

Answers

Answer:

first option _32\21 is the answer

Step-by-step explanation:

the answer will

-32/21

I'm indian just came in Canada

indians are very intelligent in maths


Please help me with this question

Answers

Answer:

27°

Step-by-step explanation:

Add the 2 given angle measures to get 153°, and then subtract that from 180° to get 27°. (Remember that all interior angles of a triangle will add up to 180°).

Hope this helped :)

What are the answers to these questions

Answers

Hello there !

[tex]1) \ \large \boldsymbol {} \displaystyle 2 \frac{33}{40} +4\frac{3}{8} =2+\frac{33}{40}+4+\frac{3}{8}^{/5} =6+\frac{33+15}{40} = \\\\\\ 6\frac{48}{40} =7\frac{8}{40} =\boxed{7\frac{1}{5} } \\\\\\\\ 2) \ 2\frac{3}{8} +1\frac{1}{3} =2+1+\frac{3}{8}^{/3}+\frac{1}{3} ^{/8} =3+\frac{9+8}{24} =\boxed{3\frac{17}{24}} \rm \ cups[/tex]

please show work if needed if not then just answer:)

Answers

Answer:

Not here.

Step-by-step explanation:

F. The converse of the conditional.

The converse would state the following:

"If it is January, then it is winter in the United States" (Original).

"If it is winter in the United States, then it is January" (Converse).

It is not true, as it can be December, January, or February during the winter season.

G. The inverse of the conditional.

The inverse would state the following:

"If it is January, then it is winter in the United States" (Original).

"If it is not January, then it is not winter in the United States" (Inverse).

Again, as the above states, the winter season encompasses more than just the month of January.

H. The contrapositive of the conditional.

The contrapositive would state the following:

"If it is January, then it is winter in the United States" (Original).

"If it is not January, then it is not winter in the United States" (Contrapositive).

Again, there is more than just January in the winter season.

~

find -x , when x=-16/51

Answers

Answer:- 1.066667 i think

Step-by-step explanation:

in science class, Marco recorded numbers. from an experiment as 12.87 12.13 12.5 and 12.08 which numbers are closer to 12 ? which are closer to 13?

Answers

Answer:

12.87, 12.5  is closer to 13

12.08, 12.13  is closer to 12

Step-by-step explanation:

Least to Greatest:

12

12.0812.1312.5 12.87

13

In ΔJKL, j= 2.5 cm, k = 9.3 cm and l =8.4 cm. Find the area of ΔJKL to the nearest square centimeter

Answers

Answer:10

Step-by-step explanation:

Determine the value of x.
X 1
X 1.5

A)x=1
B)x=2.5
C)x=2
D)x=2.9​

Answers

Answer:

The correct option is C. (x=2)

Step-by-step explanation:

Given

Length of the hypotenuse of the right angled triangle (h) = 2.5 cm

Length of one of the side (a) = 1.5 cm

Let the length third side be 'b' cm

By Pythagoras theorem

h² = a² + b²

Adding Values on both sides

⇒ (2.5)² = (1.5)² + b²

⇒ 6.25 = 2.25 + b²

⇒ 6.25 - 2.25 = b²

⇒ 4 = b²

⇒ √4 = b

⇒ 2 = b

b = 2

2/3 times 21 in simplest form

Answers

Answer: 14

Step-by-step explanation:

you would write 2/3 X 21/1 and you would multiply 21 X 2 which is 42 divide that by 3 and you get 14

What is the value of 5^3i^9?
A. -125i
B. -15i
C. 15i
D. 125i

Answers

Answer:

125i

Step-by-step explanation:

(5^3)(i^9)

=125(i^9)

=125i <-------????

Sorry not sure <:0

Choose the system for the graph

Answers

The answer will be A

it is definitely a this has to be 20 letters so

Solve for r −11r+8=10r−13

Answers

Answer:

r=1

Step-by-step explanation:

[tex]-11r+8-8=10r-13-8\\\\-11r=10r-21\\-11r-10r=10r-21-10r\\-21r=-21\\\frac{-21r}{-21}=\frac{-21}{-21}\\r=1[/tex]

Given
f(x) = 2x^2 – 5x, evaluate f (-4).

Answers

Answer:

52

Step-by-step explanation:

f (-4) = 2(-4)² - 5(-4)

        = 32 + 20

        = 52

Everyday a zookeeper feeds 4 adult gorillas a total of 160 lb of food. At this rate, how many pounds of food would the zookeeper need everyday to feed 6 adult gorillas?

Answers

Answer:

240 lbs

Step-by-step explanation:

Each gorilla eats a total of 40lbs (found that by dividing the number of gorillas by the pounds, 4/160, which is 40.)

So now that you know the number of pounds for each gorilla, you multiply the pounds by your gorillas ( 40 * 6, which is 240)

Hope this helps!

Answer:

240 he would need 240 to feed 6 gorillas every day


Which of these following numbers is 100 times larger than five hundred and fifty-five? (a)55.5 (b) 555 (c) 5550 (d) 55500 (e) 555000​

Why

Answers

Answer:

(d)55500

Step-by-step explanation:

just multiply 555 by 100 to get 55500

Find the reciprocal of 4

Answers

Answer:

reciprocal of 4 = 1/4

Step-by-step explanation:

By definition, a reciprocal of a/b = b/a.

Since 4 is the same as 4/1, then it's reciprocal must be 1/4.

Answer:

1/4

Step-by-step explanation:

because 4 = 4/1

reciprocal means to flip it upside down 4/1 = 1/4

1) 2x11 =
I don’t know how to do this

Answers

Answer:

22, Twenty Two

Step-by-step explanation:

A good way to look at multiplying 11 is that the number, if it’s under 10, will then be two of that number. For instance, 4 x 11 = 44, 6 x 11 = 66, and so on and so forth.

Hope This Helped!

3) MS. Thomton spends $1.44 on 6 ounces of Mike and lkes. How much does he spend for pound?
(16 oz = 1 lb).

Answers

Answer:

He spent $3.84 for a pound of Mike and Ikes.

Step-by-step explanation:

First thing to do is divide 1.44 by 6 to get the amount of $ 1 ounce of Mike and Ikes cost. 1.44/6=0.24

Then multiply 0.24 by 16(amount of ounces in a pound) to get the amount of $ spent on 1 pound of Mike and Ikes.

0.24*16=$3.84

Hi, I need help on this, please help me out.

Answers

The decimal point should be moved 4 places to the right

Find the area of the figure. (Sides meet at right angles.)
15 yd
9 yd
9yd
5 yd
5 yd
5 yd
4 yd
4 yd

Answers

Answer:

115 square yards

Step-by-step explanation:

yeah-ya....... right?

The area of the figure is 115 yd².

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

A figure:

This can be assumed to have two rectangles and one square.

Two rectangles are equal with dimensions:
Length = 9 yd

Width = 5 yd

The square has side = 5 yd.

Now,

Area of the figure.

= 2 x area of rectangle + area of the square

= 2 x (length x width) + side²

= 2 x (9 x 5) + 5²

= 2 x 45 + 25

= 90 + 25

= 115 yd²

Thus,

The area is 115 yd².

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ2

Help!!![tex]What is the measure of ∠L?[/tex]

Answers

Answer:

60°

Step-by-step explanation:

1. Because this is an equilateral triangle (a triangle with all equal sides), all angles are equal and are 60°.

Therefore, ∠L is 60°.

2 1/4-( -3 5/6)

Answer as a mixed number in simplest form, Pls answer this plss

Answers

2 1/4 - (-3 5/6)
2 1/4 + 3 5/6 Distribute the negative
2 6/24 + 3 20/24 Multiply top and bottom of first number by 6 and second number by 4 to get common denominator
5 26/24 Add
6 2/24
6 1/12 Simplify

Consider the graph of rational function
fo)
6
-6
-2
10
2
4
O
-2
Which equation represents function
A f(3) =
$+ 12
B. 163) = 22 +5-6
oc f(3) = =+2
OD. 1) = 1 + = -6
119
45 - 3

Answers

Answer:That would be B

Step-by-step explanation:

the ratio of red cars to blue cars in a parking lot was 5:3 if there were 40 red cars , how many blue cars were there.

Answers

Answer:

24

Step-by-step explanation:

Given, 5:3 = 5 to 3

1. 40/5 (40 divided by 5) 8

(You would divide to know what to do next.

You would also divide by the 5 because the ratio of the cars are red to blue, and the question asks if there were 40 red cars, how many blue cars were there.)

2. Because 5 red cars grouped into 8 were 40, multiply 3 by 8.

3. 3 x 8 = 24.

Answer: 24.

time to help me plz Jackie's mother has a son .How would the son related to Jackie.​

Answers

Answer:

brother

Step-by-step explanation:

Consider the graph of f(x)=13x−2. How do the graphs of 2f(x), f(x+2), and f(x)+2 compare to the graph of f(x)? Drag tiles to the empty boxes to correctly complete each sentence. The graph of 2f(x) Response area the graph of f(x). The graph of f(x+2) Response area the graph of f(x). The graph of f(x)+2 the graph of f(x).

Answers

Using translation concepts, it is found that:

2f(x) is a vertical stretch by a factor of 2 of f(x).f(x + 2) is a shift left of 2 units of f(x).f(x) + 2 is a shift up of 2 units of f(x).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

As for this problem, we have that:

For 2f(x), f(x) is multiplied by 2, hence it is a vertical stretch by a factor of 2 of f(x).For f(x + 2), x -> x + 2, hence f(x + 2) is a shift left of 2 units of f(x).For f(x) + 2, f(x) -> f(x) + 2, hence it is a shift up of 2 units of f(x).

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Jim has a bank account balance of $-15.46 as soon as he realizes this he deposit $25.50 in the account what is James bank account balance after the deposit is made

Answers

$10.4 maybe I don't really know

On November 1, Jovel Company loaned another company $100,000 at a 6% interest rate. The note receivable plus interest will not be collected until March 1 of the following year. The company's annual accounting period ends on December 31, and adjustments are only made at year-end. The adjusting entry needed on December 31 is:

Answers

Yes yhuuu. Hugg ut77 ftt

Write an addition equation or a subtraction equation to describe the diagram

Answers

Answer:

x=-2+9

Step-by-step explanation:

The first line is negative 2 and the second line is positive nine.

X=-2+9 hope that was helpful!!

acorrding to its packaging, the circular base of desk lamp has a circumference of 18.84 inchesm What is the lamp bases diameter?
use 3.14 for pi.
PLEASE HELPP

Answers

Solving for the Diameter (“D”) of a Circle:
——————————————————————

To solve for the diameter of a circle, we start off with the circumference formula because it contains the information we need to Algebraically solve for the Diameter.

Circumference Formula:
C = π • 2(r) or C = π • D, since the Diameter of a circle is 2 times the radius.

We will use the C = π • D formula because it contains the term for Diameter with pi, so we have the proper information to solve for D.

Algebraic Proof:

C = (3.14) • D [Circumference Formula with 3.14 approximate to pi]

(18.85) = (3.14) • D [Given information]

(18.85) / 3.14 = (3.14) • D / 3.14 [Division Property of Equality]

6.003 = D [Division]

D = 6.003 [Symmetric Property of Equality]

Therefore, the Diameter = 6.003 in
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