answer.
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
sveticcg [70]
2 years ago
15

A carousel has eight evenly spaced seats shaped like animals. During each ride, the carousel makes between 8 and 9 clockwise rev

olutions. At the end of one ride, the carousel stops so that the lion is in the position where the zebra was when the ride started. Through how many degrees did the carousel rotate on this ride
Mathematics
2 answers:
ahrayia [7]2 years ago
8 0

Answer:

-2970, -3320

Step-by-step explanation:

The carousel makes between 8 and 9 clockwise revolutions

the position of the lion rotated to that of the zebra is two steps

now,

1 revolution = 360 degrees accomplished in 8 steps

1 step = 360/8 = 45 deg

=> position of  lion rotated to zebra = 2 × 45 = 90 deg

if 1 revolution = 360 accomplished in 9 steps

then

1 step = 360/9 = 40 deg

=> position of  lion rotated to zebra = 2 × 40 = 80 deg

since the rotation is in clockwise direction, a negative sign is required

FOR 8 Revolutions

in total the carousel rotates

-[8(360) + 90] degrees

= -2970 degrees

FOR 9 revolution

in total the carousel rotates

-[9(360) + 80] degrees

= -3320 degrees

Yakvenalex [24]2 years ago
3 0

Answer:

2931 + 51.4n/7 degrees where n is the number of animal from the lion to the zebra in the clockwise direction.

Step-by-step explanation:

We don't have details on the positions of the lion and the zebra prior to revolution but suppose the zebra is n animal away from the lion where n could be in the range of 0 to 6 in the clockwise direction. If n = 0, the zebra is next to the lion in line, and if n = 6, the zebra is right behind the lion.

In angular term, since all 8 animals are evenly spaced, there are 7 space in between them, each of them would span an angle of 360/7 degrees

Then the angular distance between the zebra and the lion is (n+1)360/7 degrees

If the carousel makes between 8 and 9 revolutions then the total angular distance is 8*360 + (n+1)360/7 = 2931 + 51.4n/7 degrees

You might be interested in
A population has a mean of 75 and a standard deviation of 8. A random sample of 800 is selected. The expected value of LaTeX: \b
Blababa [14]

Answer:

b.75

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem:

Mean of the population is 75.

By the Central Limit Theorem,

The mean of the sample, \bar{x}, is expected to be also 75.

So the correct answer is:

b.75

5 0
2 years ago
Read 2 more answers
Factorise: 3x²+3px-2mx-2mp
joja [24]
(x+p)(3x-2m)

hope it helped :)
7 0
2 years ago
What is the product of (negative 6) (negative 7) (negative 1)?
Neporo4naja [7]

Answer:

-42

Step-by-step explanation:

negative * negative = positive

positive * negative = negative

negative * positive = negative

(-6)(-7)(-1) =

= 42(-1)

= -42

5 0
2 years ago
A doctor orders 20 grams of a 52% solution of a certain medicine. The pharmacist has only bottles of 40% solution and bottles of
Anvisha [2.4K]
Try, please, this:
1) Imagine, that pharmacist used 'x' gr. of 40% solution and 'y' of 70% solution.
Together (20 gr. of 52% sol.) it will be x+y=20.
2) From other side, the pharmacist combined 40x and 70y gramms, after obtaining together it is 52(x+y) gramms. In other words 40x+70y=52(x+y)
3) 
\left \{ {{x+y=20} \atop {40x+70y=52(x+y)}} \right. \ =\ \textgreater \  \  \left \{ {{y=8} \atop {x=12}} \right.
Answer: 8 gr. of 70% solution and 12 gr. of 40%.
4 0
2 years ago
Read 2 more answers
Write 7.085 × 10-14 as an ordinary number 0.000 000 000 007 085 0.000 000 000 000 708 5 0.000 000 000 000 0708 5 0.000 000 000 0
jenyasd209 [6]
7.085x10-14 would simplify to 70.85-14, which equals 56.85
4 0
2 years ago
Other questions:
  • Describe a situation that could be modeled with the ratio 4:1
    6·2 answers
  • Korey is planning to open a comic book store. He has developed the following expense breakdown for set-up and operation for the
    15·2 answers
  • Jumlah panjang dan lebar suatu persegi panjang adalah 32cm. Sedangkan luasnya adalah 240cm. Tentukan (a) panjang dan lebarnya (b
    11·2 answers
  • Philip pays $1,620 in rent every month. This amount is $120 more than twice what his brother Paul pays for rent. How much does P
    13·1 answer
  • Hugo and Koby are measuring the heights of plants in biology class.
    15·2 answers
  • Which method should be used to solve for x?
    15·1 answer
  • A translation is shown on the grid below. On a coordinate plane, triangle A B C has points (negative 4, 2), (negative 4, negativ
    12·2 answers
  • Ming throws a stone off a bridge into a river below. The stone's height (in meters above the water), xxx seconds after Ming thre
    9·1 answer
  • Between 1896—when the Dow Jones index was created— and 2012, the index rose in 65% of the years. Based on this information, and
    7·1 answer
  • What are the center and the radius of the circle 4x2 + 4y2 - 8x + 16y -4 = 0?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!