suppose the superhero had flown 150 m at an 120 degree angle with respect to the positive x axis find the component of displacemnet vector

Answers

Answer 1

The component of the displacement vector are: Horizontal component = -75 m Vertical component = 129.9 m (approx)

Given that the superhero flew 150 m at an angle of 120° with respect to the positive x-axis. We need to find the components of displacement vector.

Let's consider the given figure: Here, AB represents the displacement vector. AC represents the horizontal component of displacement vector and BC represents the vertical component of displacement vector.

The horizontal component can be calculated as: AC = AB cos θ

Here, θ = 120° and AB = 150 mAC = 150 cos 120°AC = -75 m (Negative sign indicates that the displacement is in the negative direction of the x-axis)

The vertical component can be calculated as: BC = AB sin θHere, θ = 120° and AB = 150 mBC = 150 sin 120°BC = 129.9 m (Approx)

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Answer 2

Given information: A superhero flew 150 m at a 120-degree angle with respect to the positive x-axis. The x-component of the displacement vector is 75 m and the y-component of the displacement vector is 129.9 m.

Components of displacement vector: The component of displacement vector with respect to the x-axis is called the x-component of displacement vector.

Similarly, the component of displacement vector with respect to the y-axis is called the y-component of displacement vector.

As per the given information, the angle of displacement vector is 120 degrees with respect to the positive x-axis.

So, the angle of the vector with respect to the negative x-axis is 180 - 120 = 60 degrees (supplementary angles).

Now, the horizontal component (x-component) of the vector is given by the product of the magnitude and the cosine of the angle with respect to the x-axis.

Let the x-component of displacement vector be x.

Then, x = 150 cos 60°

x = 75 m.

The vertical component (y-component) of the vector is given by the product of the magnitude and the sine of the angle with respect to the x-axis.

Let the y-component of displacement vector be y.

Then, y = 150 sin 60°

y = 129.9 m.

Therefore, the x-component of the displacement vector is 75 m and the y-component of the displacement vector is 129.9 m.

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Related Questions

find the profile or loss s.p= 575​

Answers

Answer:

more info?

Step-by-step explanation:

Plz help ASAP !!!!! Plzzz

Answers

Answer:

A box has 6 pencils. Each pencil weighs x grams. The 6 pencils weigh a combined total of 54 grams.

Step-by-step explanation:

Hugo wanted to reorganize his superhero figure collection. He split his collection evenly
among 3 shelves. When he was done, there were 12 figures on each shelf. How many
figures are in Hugo's collection?

Answers

Answer:

36

Step-by-step explanation:

3*12=36

Raffia went shopping for new furniture he bought a couch for $750 and a mattress for 950 dollars. When he came home he had $350 in his purse. How much money did he have when he left home. Please answer step by step will mark brainliest and thanks !!!!!!!!!!!

Answers

Answer:

$2050

Step-by-step explanation:

750+950+350

You have to add how much he spent and how much he had left over. He spent $750+$950=$1700. And he had $350 left so you add the $1700 he spent plus the $350 he had left over meaning he had $2050 to begin with.

the population of planet is approximately 280,000 in 2006. Plano is growing 7% per year. What is the population inn 2010? YOUR ANSWER SHOULD BE A WHILE NUMBER!!​

Answers

The answer is 2004 because thats when MLK was first brought to my attention and I remember black lives matter allot

someone help me please like right now lol of and don’t put any links pls!

Answers

Answer:

8 shirts

Step-by-step explanation:

24.1 let fn(x) = 1 2 cos2 √ nx n . prove carefully that (fn) converges uniformly to 0 on r.

Answers

We need to prove that the sequence of functions fn(x) = (1/2)cos^2(√nx) converges uniformly to 0 on the real numbers.

To prove uniform convergence, we need to show that for any ε > 0, there exists a positive integer N such that |fn(x) - 0| < ε for all n > N and for all x in the real numbers.

Given fn(x) = (1/2)cos^2(√nx), we observe that as n increases, the argument √nx inside the cosine function becomes larger, causing the cosine to oscillate more rapidly between 0 and 1. Since we are multiplying the cosine by (1/2) and taking its square, fn(x) gradually approaches 0 as n increases.

To formally prove uniform convergence, we can start by fixing ε > 0 and then choose N such that √Nx > 1/ε. By selecting this N, we can show that for all n > N, |fn(x) - 0| < ε for any x in the real numbers. This demonstrates that the sequence of functions fn(x) converges uniformly to 0 on the real numbers.

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"
Suppose set A has 8 distinct elements. Explain the counting method, don't just write down a formula. If you use a formula, explain why it works. (a) How many relations are there on set A?
"

Answers

There are 28 relations on set A.

To determine the number of relations on set A, we need to understand the concept of a relation. A relation between two sets A and B is a set of ordered pairs (a, b) where a is from set A and b is from set B. In this case, both sets A and B are the same, so we are looking for relations within set A.

In a relation on set A, each element of A can be related to any other element of A, including itself. This means that for each pair of elements in set A, we have two possibilities: either they are related or they are not.

Since there are 8 distinct elements in set A, for each pair, we have two choices: either they are related or not related. Therefore, for each pair of elements, we have 2 possibilities.

Now, the total number of relations on set A can be calculated by multiplying the number of possibilities for each pair of elements. Since there are 8 distinct elements in set A, there are (8 choose 2) pairs of elements in total.

Using the binomial coefficient formula, (n choose k) = n! / (k!(n-k)!), we can calculate (8 choose 2):

(8 choose 2) = 8! / (2!(8-2)!)

            = (8 * 7) / (2 * 1)

            = 28

Therefore, there are 28 different relations on set A.

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The expression 3/6 kids the weight of an object onto the moon in pounds in weight

Answers

29.7 IBS and you would get it by doing 178.2/ 6

hi please help i’ll give brainliest

Answers

Answer:

Ellipse. It is irregular at some points.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

An airplane is at 32000 feet above sea level and the seeds at an average rate of 1000 feet per minute how many minutes will it take for the airplane to land at an airport 3000 feet above sea level

Answers

Answer:

29 minutes

Step-by-step explanation:

Let

x = number of minutes

y = the height of the airplane above sea level in feet

y = 32,000 - 1000x

y = 3,000

Therefore,

y = 32,000 - 1000x

3,000 = 32,000 - 1000x

3,000 - 32,000 = -1000x

-29,000 = -1,000x

x = -29,000 / -1,000

x = 29 minutes

it will take 29 minutes for the airplane to land at an airport 3000 feet above sea level

If x= 35, then what is the measure of arc EF?

Answers

Arc EF would be 145. arc EFG would equal 180°, so if you do 180-35, you get 145.

A little boy stands on a carousel and rotates AROUND 4 times. If the distance between the little boy and the center of the carousel is 6 feet, then how many feet did the little boy travel? (C = 2πr). Use 3.14 for pi. (Hint: he is going AROUND 4 times not just once). Only put in the number do not put in the unit of measure (ft). *

Answers

Answer:

150.72

Step-by-step explanation:

C = 2*pi * r

C = 2* 3.14 * 6

C = 37.68

1 revolution = 37.68

4 revolutions = 4 * 37.68

4 revolutions = 150.72

A consulting firm gathers information on consumer preferences around the world to help companies monitor attitudes about​ health, food, and healthcare products. They asked people in many different cultures how they felt about the statement​ "I have a strong preference for regional or traditional products and dishes from where I come​ from." In a random sample of 735 ​respondents, 325 of 598 people who live in urban environments agreed​ (either completely or​ somewhat) with that​ statement, compared to 54 out of 137 people who live in rural areas. Based on this​ sample, is there evidence that the percentage of people agreeing with the statement about regional preferences differs between all urban and rural​ dwellers?

Answers

It should be noted that Yes, there is evidence that the percentage of people agreeing with the statement about regional preferences differs between all urban and rural dwellers.

How to explain the hypothesis

The sample data shows that 54.6% of urban dwellers (325/598) agree with the statement, while only 40.1% of rural dwellers (54/137) agree. This difference is statistically significant at the p < 0.05 level (two-tailed).

The test statistic is 2.83. The p-value for this test statistic is 0.0047. Since this p-value is less than 0.05, we can reject the null hypothesis and conclude that there is evidence that the percentage of people agreeing with the statement about regional preferences differs between all urban and rural dwellers.

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Triangle ABC has a side length of 8 and is dilated to Triangle XYZ with a side length
of 4. Is this a reduction or enlargement, and what is the scale factor?
v
Enlargement; scale factor of 1/2
Reduction; scale factor of 2
Enlargement; scale factor of 2
Reduction; scale factor of 1/2

Answers

Reduction scale factor 2

help me with this plsss

Answers

i’m trying to get points ignore this, sorry i didn’t know how to help :(!

Let X be a RV (note that we don’t assume anything about what type of a RV it is) and let H(x) = P(X < x). Rigorously discuss the continuity properties of H: is it continuous / left-continuous / right-continuous / not guaranteed to be any of those?

Answers

The continuity property of H is that it is:

c. right-continuous

Continuity property: A function is continuous if it has no jumps, i.e., the graph can be drawn without lifting the pencil from the paper. For any random variable X, the function H is right-continuous.

Property of left-continuity: A function is left-continuous if the limit of the function from the left side of x exists and is the same as the function value at x. In the case of the function H, it is not continuous from the left side. In fact, there is a jump that occurs in the limit as x approaches any value.Property of right-continuity: A function is right-continuous if the limit of the function from the right side of x exists and is the same as the function value at x. In the case of the function H, it is continuous from the right side.

This is due to the fact that the limit of H(x) as x approaches any value from the right side is equivalent to H(x) as x approaches that value from the right side, so H is continuous from the right side.

A random variable does not have to be any particular type of random variable to have a continuous H. For any random variable X, the continuity property applies to the function H, as demonstrated by the continuity of H from the right side.

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Find the missing length PLEASE HELP NEED IT ASAP

Answers

Answer:

c = [tex]\sqrt{58}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

c² = 7² + 3² = 49 + 9 = 58 ( take the square root of both sides )

c = [tex]\sqrt{58}[/tex]

Answer:

58

Step-by-step explanation:

According to Pythagoras Theorem:

[tex] {7}^{2} + {3}^{2} = {c}^{2} [/tex]

Hence,

[tex] = > {c}^{2} = {7}^{2} + {3}^{2} [/tex]

[tex] = > {c}^{2} = 49 + 9[/tex]

[tex] = > {c}^{2} = 58[/tex]

[tex] = > c = \sqrt{58} [/tex]

So,

[tex]c = \sqrt{58} [/tex]

Is the answer.

Help me plzzz with rectangle

Answers

Answer:

26

Step-by-step explanation:

WILL MARK BRAINLIEST!!!

Answers

Answer:

a) 1224 in³

b) 3060 in³

Step-by-step explanation:

a) 15x12x17=3060, 3060/2.5=1224 cubic inches

b) 3060; 15x12x17

extra note:

Volume of rectangular prism formula:

V = l·w·h (length times width times height)

I assumed the jewelry in 2.5 cubic inches in volume so i hope its right

hope this helps  :)

Consider the curve defined by the equation y = 47° +10x. Set up an integral that represents the length of curve from the point (-3,6) to the point (2,36).

Answers

The integral that represents the length of the curve from the point (-3,6) to the point (2,36) is L = ∫[-3 to 2] √101 dx.

To find the length of the curve defined by the equation y = 47° + 10x from the point (-3,6) to the point (2,36), we can use the arc length formula for a curve:

L = ∫[a to b] √(1 + (dy/dx)^2) dx

First, let's find dy/dx by taking the derivative of the given equation:

dy/dx = d/dx(47° + 10x) = 10

Now we can substitute this value into the arc length formula:

L = ∫[-3 to 2] √(1 + (10)^2) dx

Simplifying:

L = ∫[-3 to 2] √(1 + 100) dx

L = ∫[-3 to 2] √101 dx

Thus, the integral that represents the length of the curve from the point (-3,6) to the point (2,36) is:

L = ∫[-3 to 2] √101 dx

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Which equation represents a line that passes through the two points in the
table?
A. y-3 = 2/3(x-3)
B. y+3 = 3/2(x+3)
C. y-3 = 3/2(x-2)
D. y+3 = 2/3(x+3)

Answers

(3,3) and (6,5)
find slope
5-3/6-3=2-3=m so the answer is either a or d

now for point slope (3,3) was used so the correct equation would be
y-3=2/3(x-3) which is a!!

What are the variables in this expression?
f + 2g + h/4 - 7

A) f and g only
B) g and h only
C) f, g, and -7 only
D) f, g, and h only

Answers

D
hope this helps :)

Someone please please help me on this problem

Answers

Answer:

81 Pesos

Step-by-step explanation:

Use a proportion.

$3 is to 2 Pesos as $121.10 is to x Pesos.

3/2 = 121.1/x

3x = 2 * 121.1

3x = 242.20

x = 80.7333...

Answer: 81 Pesos




2. Find the solution to the recurrence relation bn = 4bn-1-4bn-2 with initial values bo = 1 and b₁ = 2.

Answers

The resultant of the recurrence relation bn = 4bn-1-4bn-2 with initial values bo = 1 and b₁ = 2 is bn = (1 + (n/2)) 2ⁿ.

The given recurrence relation is

bn = 4bn-1 - 4bn-2 with initial values bo = 1 and b₁ = 2. Now, we have to find the solution to the recurrence relation. It can be observed that the given recurrence relation is a second-order recurrence relation. The characteristic equation of the recurrence relation is given by:

r² = 4r - 4, which can be simplified as r² - 4r + 4 = 0. We need to solve this equation. It can be solved as r = 2

The characteristic equation of the given recurrence relation has two equal roots r1 = r2 = 2. Therefore, the general result of the recurrence relation is given by:

bn = (A + Bn) 2ⁿ

For the given initial values b₀ = 1, and b₁ = 2 we can write:

b₀ = (A + B(0)) 2⁰ =&gt; A = 1b₁ = (A + B(1)) 2¹ =&gt; A + 2B = 2

On solving these equations, we get A = 1 and B = 1/2

The resultant to the recurrence relation is:

bn = (1 + (n/2)) 2ⁿ

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Consider the arithmetic sequence presented in the table below. What is the first term, ay, and the 22nd term of the sequence? n 4 37 an 16 115 Hint: Q, = a1 + d(n-1), where ay is the first term and d is the common difference. O a = 7, 222 - 68 O a = 3, 222 150 O a = 3, 222 = 148 O Qı = 7, 222 = 70

Answers

The first term of the arithmetic sequence is 16 and the 22nd term is 148.

To solve for the first term, we can use the following formula:

a_n = a_1 + d(n-1)

where:

a_n is the nth term of the sequence

a_1 is the first term of the sequence

d is the common difference of the sequence

We know that the 4th term is 16 and the 37th term is 115. We can use these values to solve for d.

d = a_{37} - a_4 = 115 - 16 = 99

Now that we know d, we can solve for a_1 using the value of the 4th term.

a_1 = a_4 - d = 16 - 99 = -83

Finally, we can solve for the 22nd term using the value of a_1 and d.

a_{22} = a_1 + d(22-1) = -83 + 99(21) = 148

Therefore, the first term of the arithmetic sequence is 16 and the 22nd term is 148.

Here is a more detailed explanation of the solution:

The first step is to identify the common difference of the sequence. This can be done by subtracting any two consecutive terms in the sequence. In this case, the 4th term is 16 and the 37th term is 115. Subtracting these two terms, we get 115 - 16 = 99. This is the common difference of the sequence.

Once we know the common difference, we can solve for the first term by using any of the terms in the sequence. In this case, we will use the 4th term. The formula for the nth term of an arithmetic sequence is a_n = a_1 + d(n-1), where a_n is the nth term, a_1 is the first term, and d is the common difference. Substituting the 4th term, the common difference, and n = 4, we get a_4 = a_1 + d(4-1). Simplifying this equation, we get 16 = a_1 + 99. Solving for a_1, we get a_1 = -83.

Finally, we can solve for the 22nd term by using the first term and the common difference. The formula for the nth term of an arithmetic sequence is a_n = a_1 + d(n-1). Substituting the first term, the common difference, and n = 22, we get a_{22} = -83 + 99(22-1). Simplifying this equation, we get a_{22} = 148.

Therefore, the first term of the arithmetic sequence is 16 and the 22nd term is 148.

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HELP ASAP

44/15 converted into a mixed number (convert a fraction into a decimal before converting it into a mixed number)

Answers

Answer:

2 14/15

Step-by-step explanation:

44/15= 2.9333333333333

2.9333333333333= 2 14/15

An article in Technometrics ("Validation of Regression Models: Methods and Examples"presented the following data (which have been rounded to the nearest whole value) on the motor fuel octane ratings of several blends of gasoline:
89 99 90 92 93 88 88 91 95 88
90 83 88 93 88 90 84 90 92 91
93 94 88 92 90 91 91 88 94 97
89 90 89 91 89 89 90 84 92 92
90 92 88 93 91 93 89 92 88 94
87 87 89 90 90 91 8591 94 89
93 90 8790 91 91 93 93 92 93
89 100 90 89 87 90 96 91 88 92
a. Construct a frequency distribution for these data by filling in the table below. Use 8 bins. Lower limit Upper limit Midpoint Frequency Relative frequency
b. Use the frequency distribution on the previous page to construct a histogram for these data.

Answers

To analyze the motor fuel octane ratings data, we can start by constructing a frequency distribution and then use it to create a histogram.

The frequency distribution will provide information about the distribution of the data across different octane rating ranges, while the histogram visually represents the distribution graphically.

a. To construct a frequency distribution, we divide the data into bins and count the frequency of values falling within each bin. In this case, we will use 8 bins. We determine the lower and upper limits for each bin and calculate the midpoint by averaging the limits. Then, we count the number of values within each bin and calculate the relative frequency by dividing the frequency by the total number of values.

b. Once the frequency distribution is constructed, we can use it to create a histogram. The histogram represents the frequency or relative frequency of values within each bin as vertical bars. The bins are plotted along the x-axis, and the height of the bars represents the frequency or relative frequency on the y-axis. The histogram allows us to visualize the distribution pattern of the motor fuel octane ratings data, showing if it is skewed, symmetric, or has other characteristics.

By constructing a frequency distribution and creating a histogram, we can gain insights into the distribution of the motor fuel octane ratings data. The frequency distribution table provides a summarized view of how the data is spread across different octane rating ranges, while the histogram visually represents the same information in a graphical form. Both the frequency distribution and the histogram aid in understanding the distribution pattern, identifying potential outliers or gaps, and informing further analysis or decision-making related to the data.

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I need help, I dont understand

Answers

Answer:

20,19,18

Step-by-step explanation:

because you have to go backwards

What is the area of a parallelogram that has a base of 1234in. and a height of 212in.?

Answers

Answer:  261,608in²

Step-by-step explanation:

A = bh

A = (1,234)(212)

A= 261,608in²

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