Ask question

Ask question

All categories

3 years ago

12

A roller coaster track is 3,000 meters long. It takes 100 seconds to travel once around the roller coaster. What is the average

speed of the roller coaster?

2 answers:

elixir [45]3 years ago

8 0

Answer: The average speed of the rollercoaster is 30 meters per second.

Step-by-step explanation:

Hi, since:

Speed rate = distance /time

To answer this question we simply have to divide the length (distance) of the rollercoaster (3,000 meters) by the time spent on traveling it (100 seconds)

Mathematically speaking;

3000 meters / 100 seconds = 30 meters per second

The average speed of the rollercoaster is 30 meters per second.

Alecsey [184]3 years ago

6 0

Answer:

<u>The average speed of the roller coaster is</u><u> 30 m/s.</u>

Step-by-step explanation:

The average speed of the roller coaster can be computed by the formula:

<u>Average Speed = Total distance traveled/Total time taken</u>

The roller coaster travels a distance of 3000 meters and takes a time of 100 seconds. So,

Average Speed = 3000 meters / 100 seconds

Average Speed = 30 meters/second

You might be interested in

Which of the following is not equal to sin⁡(-230°)?

xenn [34]

From trigonometry we know that:

if $sin(\theta)=sin(\alpha)$

then, $\theta=n\pi+(-1)^n\alpha$ (where $n$ is an integer)

This can be rewritten in degrees as:

$\theta=n(180^{\circ})+(-1)^n\alpha$ .............(Equation 1)

Now, in our case, $\alpha=-230^{\circ}$

Therefore, (Equation 1) can be written as:

$\theta=n(180^{\circ})+(-1)^n(-230^{\circ})$ ..........(Equation 2)

Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of $\theta$ that match.

For n=2, (Equation 2) gives us: $\theta=2\times 180^{\circ}+(-1)^2(-230^{\circ})=360^{\circ}-230^{\circ}=130^{\circ}$ .

Thus, $sin(230^{\circ})=sin(130^{\circ})$

Now, we know that: $-sin(-50^{\circ})=sin(50^{\circ})$

Let n=-1, then:

$\theta=(-1)\times 180^{\circ}+(-1)^{-1}(-230^{\circ})=-180^{\circ}+230^{\circ}=50^{\circ}$

Thus, $sin(-230^{\circ})=-sin(-50^{\circ})$

Likewise, $sin(-230^{\circ})=sin(50^{\circ})$

Only the last option $sin(-50^{\circ})$ will never match $sin(-230^{\circ})$ because no integral value of $n$ will ever give $\theta=-50^{\circ}$

Thus the last option is the correct option.

3 0

3 years ago

Read 2 more answers

Jodie Meeks's Free Throws During the 2015-16 NBA season, Jodie Meeks of the Detroit Pistons had a free throw shooting percentage

Damm [24]

Answer:

0.8973

Step-by-step explanation:

Relevant data provided in the question as per the question below:

Free throw shooting percentage = 0.906

Free throws = 6

At least = 5

Based on the above information, the probability is

Let us assume the X signifies the number of free throws

So, Then X ≈ Bin (n = 6, p = 0.906)

$P = (X = x) = $\sum\limits_{x}^6 (0.906)^x (1 - 0.906)^{6-x}, x = 0,1,2,3,.., 6$

Now

The Required probability = P(X ≥ 5) = P(X = 5) + P(X = 6)

$= $\sum\limits_{5}^6 (0.906)^5 (1 - 0.906)^{6-5} + $\sum\limits_{6}^6 (0.906)^6 (1 - 0.906)^{6-6}$

= 0.8973

8 0

4 years ago

A __________________________of a set is those element within the universal set but not included in that set.

shepuryov [24]

Answer:

complement

Step-by-step explanation:

The complement of a set is the set in the universal set that is not included in that set

The universal set contains all elements

For example

U = { 1, 2, 3, 4, 5, 6, }

A = {1, 3, 6}

(complement of A) A' = {2, 4, 5}

4 0

3 years ago

Which ratio correctly compares 2 feet to 48 inches, when the lengths are written using the same units?

guajiro [1.7K]

Answer: OPTION D

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

- Convert from 48 inches to foot. You know that 12 inches=1 foot. Then you have:

$(48inches)(\frac{1foot}{12inches})=4feet$

- Therefore, keeping on mind that 48 inches is 4 feet, and you must find the ratio that correctly compares 2 feet to 48 inches, you can write:

$ratio=\frac{2feet}{4feet}$

- Reduce the fraction, then:

$ratio=\frac{1}{2}$

- You can rewrite it as following:

$ratio=1:2$

3 0

3 years ago

Xy has 10 pets: 4 dogs, 3 cats, 2 alpacas and 1 bunny. If he wants to arrange them in a row and make sure the pets are always gr

Anastaziya [24]

The number of ways pets can be arranged in group according to the species is in a row 288 ways.

Pets can be grouped by permutation concept as follows.

Total number of pets = 10

Number of dogs = 4

Number of cats = 3

Number of alpacas = 2

Number of bunny = 1

The number of ways pets can be arranged in group according to the species in a row as,

⇒ (4!)(3!)(2!)(1!)

⇒ (24)(6)(2)(1)

⇒ 288

Hence we can conclude that the number of ways pets can be arranged in group according to the species in a row is 288 ways.

Learn more about permutation here

brainly.com/question/22444718

#SPJ4

8 0

2 years ago