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 is the value of 7m - 3n when m = 3 and n = 2?<br><br> A. 5<br> B. 15<br> C. 24<br> D. 36
Bezzdna [24]
Well just plug those two numbers into the equation: 7(3) - 3(2) Which equals 15 so B) 15
5 0
3 years ago
Read 2 more answers
Three irrational numbers are given below. Select the option that correctly plots the approximate value of each me on live where
Murljashka [212]
The answer is that you are look for is 2
4 0
3 years ago
Jo is 5cm taller than Kathy.Let j=jo height.Then? =kathys height.​
xxMikexx [17]

Answer:

Kathy = J - 5 cm

Step-by-step explanation:

Jo = 5 + Kathy

Jo = J

Kathy = K

=> J = 5 + K

=> J - 5 = 5 - 5 + K

=> J - 5 = K

=> K = J - 5

So, Kathy's height is J - 5 cm

8 0
3 years ago
A dance floor is in the shape of a rectangle. it is 25 meters long and 24 meters wide. what is its perimeter
Valentin [98]
The perimeter is 98 meters.
6 0
3 years ago
What is the solution to the linear equation?
Vikki [24]

Answer:

x=-5

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • How to do an angle of impact ​
    7·1 answer
  • I am really confused on this and need help.
    10·1 answer
  • Hi I need your help to find a ​
    6·1 answer
  • 15 POINTS AND BRAINLIEST ANSWER!!
    7·2 answers
  • g Concerning 5 card poker hands from a 52 card deck- how many hands contain 2 pairs(that is 2 pairs of 2 different kinds plus a
    11·1 answer
  • There are 85 children in a school
    5·1 answer
  • X+ 7 = 7find the slope ​
    12·1 answer
  • How is 0.246¯¯¯¯ written as a fraction in simplest form?
    9·2 answers
  • Answer right to get points
    7·2 answers
  • Really hard problem need help asap
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!