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
Pls anyone I need answer of this urgent PLEASE
oksian1 [2.3K]

Answer:

Q.#1 is a

Q.#2 is d

Step-by-step explanation:

hope this helps:)

5 0
3 years ago
(03.05 MC)Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook. She needs to save $7.75, but she wants to bu
astraxan [27]

If Maya only has $15 dollars to spend and she buys a notebook for $5.50 then that leaves her with $9.50 and if she has to save $7.75 then that leaves her with $1.75 and since she wants to buy cookies then you have to figure out how many cookies she can get with $1.75 plus the tax but food doesn't have tax so she can buy 7 packages of cookies since there only 25 cents is right on point at $1.75 I hope I answered your question with all the calculating I had to do and the typing I went through to explain it to you !!!!!!!!!!!!!!!!!!!!!!!! now could you please give me a thank you and  hit the brain aster button please and thank you so much

 if you do !!!!!!! 

5 0
3 years ago
Read 2 more answers
The United States Coast Guard assumes the mean weight of passengers in commercial boats is 185 pounds. The previous value was lo
Valentin [98]

Answer:

There is a 5.5% probability that a random sample of passengers will have a mean weight that is as extreme or more extreme (either above or below the mean) than was observed in this sample.

Step-by-step explanation:

To solve this problem, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

In this problem, we have that:

\mu = 185, \sigma = 26.7, n = 48, s = \frac{26.7}{\sqrt{48}} = 3.85

The weights of a random sample of 48 commercial boat passengers were recorded. The sample mean was determined to be 177.6 pounds. Find the probability that a random sample of passengers will have a mean weight that is as extreme or more extreme (either above or below the mean) than was observed in this sample.

The probability of an extreme value below the mean.

This is the pvalue of Z when X = 177.6.

So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{177.6 - 185}{3.85}

Z = -1.92

Z = -1.92 has a pvalue of 0.0274.

So there is a 2.74% of having a sample mean as extreme than that and lower than the mean.

The probability of an extrema value above the mean.

Measures above the mean have a positive z score.

So this probability is 1 subtracted by the pvalue of Z = 1.92

Z = 1.92 has a pvalue of 0.9726.

So there is a 1-0.9726 = 0.0274 = 2.74% of having a sample mean as extreme than that and above than the mean.

Total:

2*0.0274 = 0.0548 = 0.055

There is a 5.5% probability that a random sample of passengers will have a mean weight that is as extreme or more extreme (either above or below the mean) than was observed in this sample.

4 0
3 years ago
Please help first to answer correctly gets brainlyist
I am Lyosha [343]

Answer:

B.84

Step-by-step explanation:

B= are of base=12

H=7

Equation:B*h

12*7=84cm cubed

7 0
3 years ago
What is the distance between the points (5,7)and (-3,4) on the coordinate plane
Irina-Kira [14]

Answer:

\boxed{D = 8.5 \ units}

Step-by-step explanation:

The coordinates are (5,7) and (-3,4)

Distance Formula = \sqrt{(x2-x1)^2+(y2-y1)^2}

D = \sqrt{(-3-5)^2+(4-7)^2}

D = \sqrt{(-8)^2+(-3)^2}

D = \sqrt{64+9}

D = \sqrt{73}

D = 8.5 units

3 0
3 years ago
Other questions:
  • Rewrite the expression -8(2+9v) using the distributive property
    13·2 answers
  • Lines l and m are parallel and intersected by transversals t and s as shown in the figure below.
    9·1 answer
  • Given ​f(x)​,=19x+10find ​f(​4).
    13·1 answer
  • The best fit line must go through all data points on a graph. TRUE OR FALSE
    12·1 answer
  • Row 2 : 8, 10
    15·1 answer
  • Katie is getting her laundry done it cost $2.25 per square foot of flowers added to the yard if she wants 12.4 ft.² of flowers h
    14·1 answer
  • When solving - 1/8 (x + 35) = -7 what is the correct sequence of operations? need help asap :c
    9·2 answers
  • What is 9.6+5.42-3.2 squared​
    12·2 answers
  • 15 POINTS PLS HELP MATHEMATICS <br><br> 7(2e−1)−3=6+6e<br><br> Solve for e
    7·2 answers
  • Trevon’s school is selling tickets to a fall musical. On the first day of ticket sales the school sold 13 adult tickets and 12 s
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!