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]
3 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]3 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
Translate the following sentence into an equation, then find the number. Five times a number less than 18 is is equal to 13.​
Nata [24]

Answer:

The answer would be 5x-18=13

Step-by-step explanation:

When given five times than a number, 5 would be multiplied by (x) since x can be any number. Less than 18 means subtract 18. Is equal to means an eual sign and the equation is equal to 13.

7 0
3 years ago
Which of the following expressions has 3 terms? <br> 8x + y - z <br> xyz <br> y3 + 1
Dmitry [639]
8x + y - z

You can tell because each term is separated by an operator such as +, -, *, or /
8 0
3 years ago
Read 2 more answers
Kimberly wants to buy a chandelier. The original price is $80. How much will Kimberly pay if she buys it during the sale?
dsp73
How much is the sale?
8 0
3 years ago
Question 5
Agata [3.3K]

Answer:

you can eat this pizza then you will got answer

8 0
3 years ago
Which is the value of this expression when a=-2and b=-3
monitta

Let's solve your system by substitution.

a=−2;b=−3

Step: Solve a=−2for a:

a=−2

Step: Substitute−2for a in b=−3:

b=−3

b=−3

Answer:

a=−2 and b=−3

6 0
3 years ago
Other questions:
  • Find the remainder for (b3 − 5b2 − 2b + 8)⎟(b − 4).
    5·1 answer
  • G(a) = 3^3a-2 . Find g(1)
    9·1 answer
  • If I have 309 ÷98 and you have to do long math how would you solve that?
    6·1 answer
  • Pls answer with working out pls. thnx
    6·1 answer
  • The shoe store brought a par of shoes for $50, and sold them for 80 dollars What percentage was the markup?
    15·1 answer
  • Afla cate procente reprezinta numarul a din numarul b daca a si b sunt invers proportionale cu numerele 12 si 15
    11·1 answer
  • 55% of what number is 33%?
    14·1 answer
  • . Evaluate the algebraic expression: a + b + c when a = 2, b = 1, and c = -1
    13·2 answers
  • the cos c of recycle Tin can varies directly as it's weight w in kilograms .if a junk shop pays 60 pesos per kilo of tin cans ho
    13·1 answer
  • If you multiply my number by 6 and add the product to -4, the result is -40. What's my number?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!