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
blondinia [14]
4 years ago
8

The Merry Go Round at the State Fair has a diameter of 82 feet and makes 15 revolutions per ride. How far would someone travel d

uring one ride?
Mathematics
1 answer:
n200080 [17]4 years ago
4 0

Answer:

About 1177.2 meter

Step-by-step explanation:

Given:

Diameter of Merry Go Round = 82 feet

Total revolution in one round = 15

Question asked:

How far would someone travel during one ride ?

Solution:

Diameter = 82 feet, radius = half of diameter,r = \frac{82}{2}  = 41

Circumference of a circular Merry Go Round = 2\pi r

                                                                          = 2\times3.14\times41 = 257.48

By applying unitary method:

In one round of Merry Go Round someone can travel = 257.48

In 15 rounds of Merry Go Round someone can travel = 257.48\times15

                                                                                        = 3862.2 feet

Now convert it into meter,

1 feet = 0.30 meter (approx)

3862.2 feet = 0.30\times3862.2 =  1177.199m (approx)

Therefore, about 1177.2 meter can be traveled by someone in one ride.

You might be interested in
Every year after a new car is
slavikrds [6]

Answer: The value of the car after 3 years is $5,333.333

And no, the relationship is not linear, is an exponential decay.

Step-by-step explanation:

We know that every year, the car loses 1/3 of its value.

So if the initial value of the car is V.

After one year, the new value of the car will be:

Value (1 year) = V - (1/3)*V = (2/3)*V

After another year, the value will be:

Value (2 years) = (2/3)*V - (1/3)*(2/3)*V = V*(2/3)^2

Ok, we already can see that this is an exponential decay.

(So no, this is not a linear relationship).

The value equation as a function of the number of years will be:

Value(N) = V*(2/3)^N

Then if the initial cost of a car is $18,000, and we want to know its value after 3 years, we need to replace V by $18,000 and N by 3 in the above equation:

Value(3) = $18,000*(2/3)^3 = $5,333.333

6 0
3 years ago
line y = 2x+1 is transformed by a dialation with a scale factor of two and centered at (0,-4). what is the equation of the image
Gekata [30.6K]

Answer: y = 2x + 6

Step-by-step explanation:

Here the equation of line,

y = 2x + 1

y-intercept of the line is, (0, 1)

And, the slope of the line is 2.

Since, If a point (x,y) is dilated by a scale factor k about a point (a,b),

Then transformed point are get by,

(x,y)\rightarrow (k(x-a)+a, k(y-b)+b)

Thus, The transformed point of point (0,1) when dilation is occur by the scale factor 2 about the point (0,-4),

(0,-4)\rightarrow (2(0-0)+0, 2(1+4)-4)

(0,-4)\rightarrow (0, 6)

Thus, the point of the new line is (0,6)

And, the slope of the new line is 2 ( because in the dilation, the slope of the line does not change)

Thus, the equation of new line,

(y - 6) = 2 (x - 0)

y - 6 = 2x

y = 2x + 6


5 0
3 years ago
1/12 minus what equals 3/4
Alex

Answer:-2/3

Step-by-step explanation:

6 0
4 years ago
PLEASE HELP SO I MADE A STAIN ON MY PARENTS COUCH SO I USED STAIN REMOVER BUT THE STAIN REMOVER LEFT A STAIN AND IM NOT SURE HOW
lana66690 [7]

Answer:

that's hardly visible i wouldn't worry about it

Step-by-step explanation:

1+1=2

8 0
3 years ago
Please please help me with this
swat32
N=1→an=a1 (first term)=16 (on the graph for n=1)→First term = 16
n=2→an=a2 (second term) = 4 (on the graph for n=2)→Second term = 4

ratio=(Second term)/(First term)=a2/a1=4/16
Simplifying the fraction dividing the numerator (4) by 4 and the denominator (16) by 4:
ratio=(4/4)/(16/4)→ratio=1/4

Answer: Option A. First term = 16, ratio = 1/4
7 0
3 years ago
Other questions:
  • What is 35/60 simplest form
    12·2 answers
  • A punch recipe calls for 2 quart of ginger ale, 3 pints of orange juice,2 pints of pineapple juice, 1 cup of lemon juice, and 3
    9·1 answer
  • What are the possible values of x
    14·1 answer
  • Abc~xyz with ab=16 and xy=24 if the length of the median of the smaller triangle is 6in how long is the corresponding median of
    6·1 answer
  • Maya is packing her backpack for hike. In one pocket, she puts in a 1/2 pound bag of trail mix,a water bottle weighing 2 1/8 pou
    14·1 answer
  • Which expression represent the approximate length of BC HEEEEELLLLPPP!!!
    15·1 answer
  • 20 Points and will give brainliest to the first correct answer!
    8·2 answers
  • Find the sum of the digits 10^15−1.
    12·2 answers
  • PLEASE HELP SOON<br><br> What is the value of x?<br><br> Enter your answer in the box.<br><br> x =
    7·2 answers
  • Find the missing angles.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!