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
vivado [14]
3 years ago
11

A carnival ride is in the shape of a wheel with a radius of 15 feet. The wheel has 24 cars attached to the center of the wheel.

What is the central angle, arc length, and area of a sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive credit. (10 points)
Mathematics
1 answer:
Sidana [21]3 years ago
6 0
1) Given that there are 24 cars equally divided, each space between two adjacent cars is the 1 /24 of the total space.

2) Central angle of a sector between to adjacent cars:

=> divide the angle of the whole circle by 24 => 360° / 24 = 15°

3) arc length between two adjacent cars:

=> divide the total length of the circle by 24.

The total length of the circle is the circumference = 2π(radius) = 2π(15 feet)

total length = 94.25 feet

=> arc length = 94.25 feet / 24 = 3.93 feet

4) area of a sector between two adjacent cars:

=> divide the area of the circle by 24

area of the circle = π(radius)^2 = π(15 feet)^2 = 706.86 feet^2

=> area of the sector = 706.86 feet^2 / 24 = 29.45 feet^2
You might be interested in
What are more 1/3 miles or 1762 feets
Zigmanuir [339]

1762 feet would be 2 feet more. There are 5280 in a mile, divide that by three and get 1760 feet.

6 0
3 years ago
In a village the number of houses and the number of flats are in the ratio 9:5 the number of flats and the number of bungalows T
Makovka662 [10]

Answer:

Total no. of houses = 140

Step-by-step explanation:

Let there are 9x flats and 5x bungalows.

Total bungalows = 50

It means,

5x = 50

x = 10

No of flats = 9x

= 9(10)

= 90

Total houses = no. of flats + no. of bungalows

= 50+90

= 140

So, there are 140 houses in the village.

5 0
3 years ago
(x + 1 < -1) ∩ (x + 1 < 1)
stealth61 [152]

Answer: ok that’s confusing

Step-by-step explanation:

3 0
3 years ago
The population of a bacteria colony doubles every 6 hours. For example, starting with a sample of 10 bacteria, after 6 hours the
almond37 [142]

Answer:

If the bacteria grow for six hours, each bacterium will divide 3 times per hour × 6 hours = 18 times.

Every time the bacteria reproduce, the number doubles.

5 0
2 years ago
A suitcase measure 24 inches long and 18 inches high, what is the diagonal length of the suitcase to the nearest tenth of a foot
Alik [6]

Answer:

The diagonal length of the suitcase is 30 inches.

Hope it helps. :)

7 0
2 years ago
Other questions:
  • 18.88 divided by 1.6
    11·2 answers
  • You have a credit card with an initial balance of $3,168.00 and an interest rate of 12.75% apr. if you make no payments on the c
    6·2 answers
  • Two fractions are Equal.They also have the same donominator.What must be true of the numerators of the fractions?Explain
    5·1 answer
  • What polynomial has a graph that passes through the given points?
    13·1 answer
  • All of the following are equivalent except _____.<br> 4 · y<br> 4 + y<br> 4y<br> (4)(y)
    10·2 answers
  • Gabe went to the amusement park with $40 to spend. His ticket coast $26.50. Write and solve an inequality to show how much he mi
    15·1 answer
  • Solve for x in 4x-4/x+4=10
    15·1 answer
  • Solve for x. while you solve it can you show work pls
    7·1 answer
  • Help please! I’ll give brainliest too!
    5·1 answer
  • The permiter of a square must be less than 160 feet. What is the maximum length of a side in feet?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!