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
vlabodo [156]
2 years ago
11

The car at each vertex of a Ferris wheel holds a maximum of 5 people. The sum of the measures of the angles of the Ferris wheel

is 7740º. What is the maximum number of people that the Ferris wheel can hold?

Mathematics
1 answer:
Leokris [45]2 years ago
5 0
The Ferris wheel has the shape of a regular n-gon (regular polygon with n vertices).

check the pictures attached to verify the following rule: the diagonals of a vertex divide a n-gon into (n-2) triangles. 

This means that the sum of the measures of the interior angles  of a n-gon is 180°(the sum of the measures of the interior angles of a triangle ) * (n-2), which is the total number of triangles constructed this way.

In a regular polygon, this total sum, is equally 'distributed' to each of the n vertices.

Conclusion:
the sum of the measures of a regular n-gon is 180(n-2)
the measure of 1 angle of a regular n-gon is \frac{180(n-2)}{n}
In our problem, the sum of the measures of the interior angles is 7740º. So to find n, the number of vertices of the polygon:
<span>
7740º=180(n-2)

n-2=7740</span>°/180°<span>=43
n=45

So the Ferris wheel has 45 vertices, so 45 cars, each of which can hold 5 people.

Maximum number the Ferris can hold is 45*5=225  people</span>

You might be interested in
Can someone explain this? :)
Alchen [17]

I'll do part (a) to get you started.

The angle 'a' pairs up with the 123 degree angle as a corresponding angle pair. Due to the parallel lines, the corresponding angles are congruent. Therefore a = 123.

We also see that b = 123 as well since a = b (they are vertical angles).

Notice how angle c is adjacent to the 123 degree angle. These two angles form a straight line, so they must add to 180 degrees.

c+123 = 180

c = 180-123

c = 57

-------------------------

To summarize, we have these three angles

a = 123

b = 123

c = 57

6 0
3 years ago
Read 2 more answers
Find the first three terms of f(n + 1) = f(n) + 8, if f(1) = 27.
dezoksy [38]
I hope this helps you



f (1+1)= f (1)+8


f (2)= 27+8


f (2)=35



f (2+1)= f (2)+8



f (3)= 35+8


f (3)=43



3 0
3 years ago
Solve for x <br><br> 3x-5=-x+3
sashaice [31]

Answer:

(3x - 5 = -x + 3) x = 2

Step-by-step explanation:

3x - 5 = -x + 3

3x = -x + (3 +5)

3x=-x + 8

(3x + x ) = 8

4x = 8

4/8 =2

x = 2

4 0
1 year ago
Divide: 4/0 is it 0, undefined, 1, 4 or none of the above?
Gennadij [26K]

Answer: Undefined

Step-by-step explanation:

4/0 is undefined. This is because any number divided by zero is undifined.

7 0
3 years ago
Read 2 more answers
Given the right triangle, write the following trig ratios for cosecant, secant and cotangent. (20 points)
snow_tiger [21]
Okay uhhh wait m figuring it out
7 0
3 years ago
Other questions:
  • Which equation best represents this situation?
    12·1 answer
  • Which expression shows the result of applying the distributive property to -2(1/3x-1/5)
    15·1 answer
  • Given an array A = [a1, a2, . . . , an] of nonnegative integers, consider the following problems: 1 P Partition: Determine wheth
    5·1 answer
  • a rectangle's perimeter and its area have the same numerical value. the width of the rectangle is 3 units. what is the length of
    13·1 answer
  • 2) A ray is a geometric figure that consist of
    10·1 answer
  • in one day, 18 people each withdrew $100 from an atm machinen what was the overall change in the amount of money in the atm mach
    12·1 answer
  • PLEASE HELP MEEE IM DUM
    6·2 answers
  • stack X B with rightwards arrow on top bisects ∠AXC. If m∠AXB = 2x + 10, m∠BXC = 2x + 10, and the m∠AXC = 6x – 6, find the value
    13·1 answer
  • How do you write (4)(25)-300 as an addition equation
    11·2 answers
  • I need some help with this!!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!