1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
defon
3 years ago
15

A person is on the outer edge of a carousel with a radius of 20 feet that is rotating counterclockwise around a point that is ce

ntered at the origin. What is the exact value of the position of the rider after the carousel rotates 5pi/12 radians?
Mathematics
1 answer:
Scilla [17]3 years ago
3 0
Answer: Assuming the riders starts at the position (20, 0) on the x-axis, the exact position of the rider will be (20cos75, 20sin75) or about (5.18, 19.32).

The angle for 5pi/12 radians is 75 degrees. Therefore, to find the position we can use the sine and cosine of 75 to find the x and y value of the coordinate.

For the y-value, we can write and solve:
sin75 = x/20

For the x-value, we can write and solve:
cos75 = x/20
You might be interested in
“Mark your diagram with the givens and write a 2 column proof” IMAGE ATTACHED PLEASE HELP!!
Brrunno [24]

The answer is ........

Shawty's like a melody in my head
That I can't keep out, got me singin' like
Na na na na everyday
It's like my iPod's stuck on replay
Replay-ay-ay-ay
Shawty's like a melody in my head
That I can't keep out, got me singin' like
Na na na na everyday
It's like my iPod's stuck on replay
Replay
Remember the first time we met
You was at the mall wit yo friend
I was scared to approach ya
But then you came closer
Hopin' you would give me a chance
Who would have ever knew
That we would ever be more than friends
We're real worldwide, breakin' all the rules
She like a song played again and again
That girl, like something off a poster
That girl, is a dime they say
That girl, is a gun to my holster
She's running through my mind all day, ay
Shawty's like a melody in my head
That I can't keep out, got me singin' like
Na na na na everyday
It's like my iPod's stuck on replay
Replay-ay-ay-ay
Shawty's like a melody in my head
That I can't keep out, got me singin' like
Na na na na everyday
It's like my iPod's stuck on replay
Replay-ay-ay-ay
See you been all around the globe
Not once did you leave my mind
We talk on the phone, from night 'til the morn'
Girl, you really changed my life
Doin' things I never do
I'm in the kitchen cookin' things she likes
We're real worldwide, breakin' all the rules
Someday I wanna make you my wife
That girl, like something off a poster
That girl, is a dime they say (Hey)
That girl, is a gun to my holster
She's running through my mind all day, ay
Shawty's like a melody in my head
That I can't keep out, got me singin' like
Na na na na everyday
It's like my iPod's stuck on replay
Replay-ay-ay-ay
Shawty's like a melody in my head
That I can't keep out, got me singin' like
Na na na na everyday
It's like my iPod's stuck on replay
Replay-ay-ay-ay
I can be your melody
Oh, girl, I could write you a symphony
The one that could fill your fantasies
So come baby girl let's sing with me, ay
I can be your melody
Oh, girl, I could write you a symphony
The one that could fill your fantasies
So come baby girl let's sing with me, ay
Na na na na na na na
Na na na na na na
Shawty got me singin'
Na na na na na na na
Na na na na na na
Now she got me singin'
4 0
3 years ago
Nick walks 8 miles in 3 hours,and braylon walks 16 miles in 6 hours.what is the unit rate per hour
stich3 [128]

Answer: 2.6

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Use the properties of operations to determine if each pair of expressions is equivalent
SIZIF [17.4K]

Using the properties of operations the given pair of expressions are not equivalent

<u>Solution:</u>

Given that, we have to use the properties of operations to determine if each pair of expressions is equivalent

<em><u>And the two expressions are:</u></em>

\frac{1}{2}(4-2 x) \text { and } 2-2 x

Now, we know that, there are four (4) basic properties of operations:

<em>Commutative, Associative, Distributive and Identity. These properties only apply to the operations of addition and multiplication.</em>

So, if we observe we can apply distributive property on 1st expression

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.

\begin{array}{l}{\frac{1}{2}(4-2 x) \rightarrow \frac{1}{2}(4)-\frac{1}{2}(2 x)} \\\\ {\rightarrow 2-x}\end{array}

Here the resulting expression is 2 – x and it is not equivalent to 2 – 2x

Hence, the given two expressions are not equal.

3 0
3 years ago
Please answer this correctly
jolli1 [7]

Answer:

No, because there is just as high of a possibility that the other is biased too.

8 0
3 years ago
Factor the expression using GCF 9a + 15b ?
Aleksandr [31]

Answer:

3(3a+15b)

Step-by-step explanation:

GCF: 3

Find all the prime factors between 3 and 15

3: 1,3 1*3

15: 1,3,5,15 (1*15 3*5)

3 is the GCF between the 2 numbers.

6 0
2 years ago
Other questions:
  • A solar heating system costs $25,000 to install with a yearly operating cost of $300. An electric heating system costs $6,500 to
    9·1 answer
  • What is this please help
    5·2 answers
  • How to turn Ratio as a fraction
    8·1 answer
  • 25.) 3x=log_6216<br><br><br>26.) x-4=log_3243<br><br>Algebra 2 homework I need help ASAP
    12·1 answer
  • A car was sold at $34000. That price was 85℅ of the orginal price. What was the original price?
    14·1 answer
  • Anyone please answer me ,<br> Please solve this question
    7·2 answers
  • In the given figure, the area of △ADE is 16 units. What is the area of △ABC?
    15·1 answer
  • Find the value of x pleasee
    14·2 answers
  • Solve for n.<br><br> 2 n - 3 / 5 = 5<br><br> n =
    13·1 answer
  • How many 6-digit even numbers between 640,000 and 645,000 can be formed using the digits given below? Use each digit only once.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!