An object with a weight of 100 N is suspended by two lengths of rope from the


ceiling. The angles that both lengths make with the ceiling are the same. The


tension in each length is 50 N. Determine the angle that the lengths of ropes make


with the ceiling.

Answers

Answer 1

The angle that the lengths of ropes make with the ceiling is 90 degrees.

To determine the angle that the lengths of ropes make with the ceiling for an object with a weight of 100 N suspended by two ropes with equal tension of 50 N, we can follow these steps:

1. Understand that the vertical forces must balance, meaning the sum of the vertical components of tension in each rope must equal the object's weight.

2. Recognize that the vertical component of tension in each rope can be calculated using the sine function and the angle, θ, between the rope and the ceiling: T_vertical = T * sin(θ).

3. Set up an equation using the information provided: 2 * (50 N * sin(θ)) = 100 N, where θ is the angle we want to find.

4. Simplify the equation: 100 * sin(θ) = 100 N.

5. Divide both sides by 100: sin(θ) = 1.

6. Find the inverse sine (also known as arcsin) of 1: θ = arcsin(1).

7. Calculate the angle: θ = 90 degrees.

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Related Questions

In January, 2005 Anthony was preparing to purchase 100 shares of ABC stock. He was studying the literature and found four different charts on ABC stock performance. Which chart is the most relevant representation for Anthony’s purposes?

a.
A graph has year on the x-axis, from 1999 to 2003, and value (dollars per share) on the y-axis, from 80 to 200 in increments of 40. A curve goes through (0, 140), (2000, 170), (2002, 120).
b.
A graph has year on the x-axis, from 2001 to 2005, and value (dollars per share) on the y-axis, from 80 to 200 in increments of 40. A curve goes through (0, 170), (2003, 90), (2005, 130).
c.
A graph has year on the x-axis, from 1997 to 2003, and value (dollars per share) on the y-axis, from 0 to 200 in increments of 40. A curve goes through (0, 80), (2000, 170), (2003, 90).
d.
A graph has year on the x-axis, from 1996 to 2000, and value (dollars per share) on the y-axis, from 0 to 200 in increments of 40. A curve goes through (1996, 80), (1998, 140), (2000, 170).



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

The chart which is most relevant representation for Anthony's purposes is;

b. A graph has year on the x-axis, from 2001 to 2005, and value (dollars per share) on the y-axis, from 80 to 200 in increments of 40. A curve goes through (0, 170), (2003, 90), (2005, 130)

Step-by-step explanation:

From the question, we have;

The time at which Anthony was preparing to purchase shares = January, 2005

The number of shares Anthony was preparing to purchase = 100 shares

The information he found in the literature = Charts on ABC stock performance

The information required = The current price of shares of ABC stock

Therefore, the chart that is most relevant is a chart that gives the 2005 pricing  of ABC stock which is the graph that has a curve that goes through (0, 170), (2003, 90), (2005, 130)

Answer:

The chart which is most relevant representation for Anthony's purposes is;

b. A graph has year on the x-axis, from 2001 to 2005, and value (dollars per share) on the y-axis, from 80 to 200 in increments of 40. A curve goes through (0, 170), (2003, 90), (2005, 130)

Step-by-step explanation:

Double a number plus five is seventy-five?

Double a number plus five is seventy-five.

You get ten when subtracting sixteen from twice a number.

If a number is tripled and then reduced by nine, the result is sixty-six.

( Answer all please and thank you )

Answers

Answer:  35 doubled is 70, plus 5 equals 75. so 35 is the number.

               

                13 twice is 26, 26 subtracted by 16 is 10. so the number is 16.

             

                25 tripled is 75, 75 reduced by 9 is 66, so the number is 25.

DISTANCE EQUATION
i know it is the first one but what other ones?

DISTANCE EQUATIONi know it is the first one but what other ones?

Answers

Answer:

A and E

Step-by-step explanation:

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\) ← distance formula

it is important that the x and y coordinates are placed correctly, that is not mixed together.

First version

let (x₁, y₁ ) = X (- 5,  4 ) and (x₂, y₂ ) = Y (7, 15 ) , then

XY = \(\sqrt{(7-(-5)^2+(15-4)^2}\) → A

or

Second version

let (x₁, y₁ ) = Y (7, 15 ) and (x₂, y₂ ) = X (- 5, 4 ) , then

XY = \(\sqrt{(-5-7)^2+(4-15)^2}\) → E

EASY MATH PLEASE HELP
NO LINKS PLEASE
EXPLANANTION REQUIRED
I WILL GIVE BRAINLIEST
: ) HINT: THE ANSWER IS NOT A

EASY MATH PLEASE HELPNO LINKS PLEASEEXPLANANTION REQUIREDI WILL GIVE BRAINLIEST: ) HINT: THE ANSWER IS

Answers

Answer:

i belive C would be correct

Step-by-step explanation:

so so sorry if im wrong.

might be option c is the answer

Two cyclists are 200 miles apart when they start toward each other. If their speeds are 12 mph and 6 mph, how much time will pass before they are twenty miles apart?

Answer: __?___ hours

Answers

Answer:

10 hours

Step-by-step explanation:

one is traveling at 12 in the direction of the one traveling 6

6+12=18mph

18x10=180 miles

200-180=20 miles apart

evaluate the expression when p=4:

| p - 3 |

evaluate the expression when p=4: | p - 3 |

Answers

Answer:

1

Step-by-step explanation:

Since P=4

|p-3| = |4-3|^2

|p-3|

|p-3|

|p-3|

|p-3| =(4-3)(4-3)

=(1)(1)

=1

Which of these is an example of an output?


A
swiping on phone screen

B
the notification sound of a text message

C
typing on a keyboard

D
talking into a microphone

Answers

Answer:

d talking into microphone

Find the value of x.
A
7x + 10
с
В
00
9x - 2
D

Find the value of x.A7x + 10009x - 2D

Answers

Answer:

6

Step-by-step explanation:

AB = BD

so, 7x + 10 = 9x -2

or, 10 + 2 = 9x -7x

or, 12 = 2x

or, 6=x

Therefore, x=6

what the answer to this problem?

what the answer to this problem?

Answers

Step-by-step explanation:

we simply use the formula and use 3.14 for pi.

so, the circumference is

2×pi×r = 2×3.14×4 = 3.14×8 = 25.12 in

so, D is correct.

John had $30 when he got to the
carnival. After riding 5 rides, he had $20
left. If each ride costs the same, what
was the price of each?

Answers

Answer:

$2

Step-by-step explanation:

Step-by-step explanation:

Given, John had $30

after riding 5 rides, He had $20

( Let's subtract the balance and the balance he had after ride )

$(30 - 20)

$10

Therefore, Each ride costs = $10 ÷ 5

(dividing 10 and 5, we get 2)= $2

Hence, It took $2 for a ride.

Hope it helps. If it helps don't forget to like and mark me.

first interpret the slope. select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Answers

An essential concept in mathematics and can be applied to a variety of fields such as physics, economics, and engineering.

The slope of a line in a Cartesian plane is a numerical representation of its steepness and inclination relative to the x-axis.

The slope of a straight line refers to the rise or fall of the y-coordinate as it moves from left to right along the x-axis.

There are a few different ways to interpret the slope of a line, but generally it can be thought of as the rate at which the dependent variable changes with respect to the independent variable.
When the slope is positive, the line rises from left to right, indicating that the dependent variable is increasing as the independent variable increases.

In other words, there is a direct relationship between the two variables.

Conversely, when the slope is negative, the line falls from left to right, indicating that the dependent variable is decreasing as the independent variable increases.

This means that there is an inverse relationship between the two variables.
The magnitude of the slope can also provide information about the relationship between the variables.

If the slope is close to zero, then the relationship between the two variables is weak or nonexistent.

However, if the slope is large in magnitude (i.e. close to 1 or -1), then there is a strong relationship between the variables.

A slope of zero indicates that there is no change in the dependent variable as the independent variable changes, while a slope of undefined means that the line is vertical and has no slope.
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PLZ ANSWER!! ONLY IF YOU ARE CORRECT (SELECT ALL THAT APPLY)

PLZ ANSWER!! ONLY IF YOU ARE CORRECT (SELECT ALL THAT APPLY)

Answers

Answer:A, C, and D

Step-by-step explanation:


Write a verbal expression for 7a4

Answers

Answer:

7 times a to the fourth power

does anyone know how to do 1 and 2? i suck at trigonometry.

does anyone know how to do 1 and 2? i suck at trigonometry.

Answers

Answer:

Step-by-step explanation:

Here's the answers I got. Sorry super busy at school ahh

does anyone know how to do 1 and 2? i suck at trigonometry.

An alien blob started with a mass of 13 kg and is doubling in size every day. How large will the blob be after 2 weeks?

Answers

Answer:

106,496 kg

Step-by-step explanation:

Which statement best describes the function below : F(x)=2x^2-3x+1

Answers

Answer:

it is a many to one function:)

Step-by-step explanation:

Answer:

The statement which best describes the function F(x)=2x^2-3x+1 is it is a many to one function.

How do you find the piecewise function?

A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.

What is a function example?

f(x) = x2 shows us that function "f" takes "x" and squares it. Example: with f(x) = x2: an input of 4. becomes an output of 16.

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Please help I’m so bad at this :/

Please help Im so bad at this :/

Answers

Answer:

3a+33

Step-by-step explanation:

Add 2a+1 to a+32

A line has a slope of 1/4 and passes through .0.41 -1/2 what is the value of the Y intercept

Answers

Answer:

-1/2

Step-by-step explanation:

the y intercept is where the line crosses the y axis. The problem states that it passes through (.41, -1/2) which means the y intercept is -1/2. I'm not sure if the - is a dash or negative sign but either way you now know what the y intercept is.

If A= 1, Be= 7, then ADD=?

Answers

Answer:

D or DD was not given any factor, but A was given which is 1, ADD= 1 multipltied by D

did u guys know that the word 'googl' is prohibited on this app?

Answers

Answer:

No, I didn't know

Step-by-step explanation:

......❤

Answer:

BAHAHAHA XDXD lollollol

In 1912, the RMS Titanic, a British passenger ship, sank in the North Atlantic Ocean after colliding with an iceberg. Historians do not know the exact passenger list, so the death toll is estimated. Here is data from the 2201 passengers on board, by cabin class.
First Class Second Class Third Class Crew Row totals
Died 122 167 528 673 1490
Survived 203 118 178 212 711
Column Totals 325 285 706 885 2201
Wikipedia, RMS Titanic. (2015). Retrieved from: http://en.wikipedia.org/wiki/RMS_Titanic#Survivors_and_victims
Which proportions are most useful in analyzing the relationship between passenger class and surviving the Titanic?
· 122 / 325 and 203 / 325
· 203 / 325 and 528 / 706
· 203 / 325 and 178 /706
· 203 / 711 and 178 / 711
In 1912, the RMS Titanic, a British passenger ship, sank in the North Atlantic Ocean after colliding with an iceberg. Historians do not know the exact passenger list, so the death toll is estimated. Here is data from the 2201 passengers on board, by cabin class. First Class Second Class Third Class Crew Row totals Died 122 167 528 673 1490 Survived 203 118 178 212 711 Column Totals 325 285 706 885 2201 Wikipedia, RMS Titanic. (2015). Which proportions are most useful in analyzing the relationship between passenger class and surviving the Titanic? • 122 / 325 and 203 / 325 • 203 / 325 and 528 / 706 • 203 / 325 and 178 /706 • 203 / 711 and 178 / 711

Answers

The resulting equation would be AD = BC. Therefore, to calculate the proportion, you need to multiply the numerator of one ratio by the denominator of the other ratio and equate the products.

What are proportions? Proportions are two ratios that are equivalent or equal to each other. The ratios can be represented as a fraction or a decimal. Proportions are useful in math when dealing with solving problems that involve ratios or comparisons between two values or quantities. How to calculate proportions? To calculate a proportion, you need to compare two ratios. For instance, if you have two ratios A:B and C:D, the proportion will be A:B = C:D. It implies that A is to B as C is to D. Then you can cross-multiply the proportion, which means multiplying the numerator on the left by the denominator on the right, and then multiplying the numerator on the right by the denominator on the left.  The proportions that are most useful in analysing the relationship between passenger class and surviving the Titanic are 203/325 and 178/706. The resulting equation would be AD = BC. Therefore, to calculate the proportion, you need to multiply the numerator of one ratio by the denominator of the other ratio and equate the products.

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The costs of repairing iPads in UAE are normally distributed with a mean of 173 Dhs. If
3%
of the costs exceed 243 Dhs, find the standard deviation of the costs. Round your answer to the nearest diham (Whole number).

Answers

The standard deviation of the costs is 37 Dhs

The given mean is 173 and 3% of costs exceed 243. We have to calculate the standard deviation of the cost. Therefore, let's first start by calculating the z-score as follows;z-score formula = `(x - μ) / σ`z-score = `243 - 173 / σ`z-score = `70 / σ`We need to find the standard deviation of the costs. Since the z-score formula includes standard deviation, we can first calculate the z-score and then use it to calculate the standard deviation.Using the z-table, we can find the z-score for 3% = -1.88-1.88 = (243 - 173) / σσ = (243 - 173) / -1.88σ = -70 / -1.88σ = 37.23≈ 37The standard deviation of the costs is 37 Dhs. Hence, the correct option is as follows.Option D is the correct option.

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Please help serious answers only

Please help serious answers only

Answers

It’s 28, 16 add 4 is 20 add 8 is 28

Answer:

60

Step-by-step explanation:

Plug in 4 for y

3(4)² + (4) + 8

3(16) + 4 + 8

48 + 12

60

a survey found that 78% of the men questioned preferred computer-assisted instruction to lecture and 68% of the women preferred computer-assisted instruction to lecture. there were 100 randomly selected individuals in each sample. find the 95% confidence interval for the difference of the two proportions.

Answers

The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

Given that,

In a survey, it was discovered that 68% of women and 78% of men preferred computer-assisted education to lectures, respectively. Each sample contained 100 people that were chosen at random.

We have to calculate the 95% confidence range for the difference between the two proportions.

We know that,

The 95% confidence interval for difference between two population proportions is given as follows :

\(((\bar p_{1} -\bar p_{2})\)±\(Z_{0.05/2}\sqrt{\frac{PQ}{n_{1} } +\frac{PQ}{n_{2} }} })\)

Here,

p₁ is 0.78

p₂ is 0.68

n₁ is 100

n₂ is 100

Z is 1.96

P is 0.73

Q is 0.27

So,

((0.78-0.68)±\(1.96\sqrt{\frac{(0.73)(0.27)}{100 } +\frac{(0.73)(0.27)}{100 }} })\)

(0.10±0.122)

(0.10-0.122,0.10+0.122)

(-0.022,0.222)

Therefore, The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

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A clearance rack is marked as 60% off the regular price to be taken at the register. If a jacket on the clearance rack is marked $239.99, what will it ring up for at the register

Answers

Answer:

$399.98

Step-by-step explanation:

Given

Mark down percent = 60%

Mark down price = $239.99

Required

Original price of the rack

Let x be the original price of the product. The equation to get x is as expressed below;

60% of x = 239.99

0.6x = 239.99

x = 239.99/0.6

x = 399.98

Hence the rack will ring up for $399.98 at the register

100 PTS:Please help me now plz plz I promise I will mark you brainliest

 100 PTS:Please help me now plz plz I promise I will mark you brainliest

Answers

Answer:

\( \cos \beta = \dfrac{8}{17} \)

Step-by-step explanation:

\( \cos A = \dfrac{adj}{hyp} \)

For angle beta, adj = BC = 8, and hyp = AB = 17

\( \cos \beta = \dfrac{adj}{hyp} \)

\( \cos \beta = \dfrac{BC}{AB} \)

\( \cos \beta = \dfrac{8}{17} \)

Answer:

Cos B = 8/17

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos B = adjacent/ hypotenuse

Cos B = 8/17

Explain and solve it

Explain and solve it

Answers

Check the picture below.

Explain and solve it

How to know if a matrix is in echelon form or reduced echelon form?

Answers

If the matrix is said to be in reduced echelon form then it should satisfy the following conditions:

1. The pivot in any non-zero row is the only non-zero entry in its column.

2. The pivot in any non-zero row is positive.

What is an echelon form?

A matrix in reduced echelon form is also sometimes referred to as a row-reduced echelon form or simply a reduced row echelon form (RREF). To check if a matrix is in RREF, you need to verify if the matrix satisfies both the conditions for echelon form and the additional conditions for RREF.

1. A matrix is said to be in echelon form if it satisfies the following conditions:

2. All zero rows (if any) are at the bottom of the matrix.

3. The leading entry (the first non-zero entry) of each non-zero row occurs to the right of the leading entry of the previous row.

4. The leading entry in any non-zero row is 1, called a pivot.

A matrix is said to be in reduced echelon form if it is in echelon form and additionally satisfies the following conditions:

1. The pivot in any non-zero row is the only non-zero entry in its column.

2. The pivot in any non-zero row is positive.

Hence, if the matrix is said to be in reduced echelon form then it should satisfy the following conditions:

1. The pivot in any non-zero row is the only non-zero entry in its column.

2. The pivot in any non-zero row is positive.

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Which of the following mixed numbers has the same decimal value as 110 147/168

A. 110 49/56

B. 110 170/180

C. 110 56/72

D. 110 247/268​

Answers

D 110 56/72 is the answer

Riley bought 4 and 2/3 apple pies. She decides she wants to serve each of her guests 1/3 of a
pie. How many guests can she serve?
guests

Answers

Answer:

14

Step-by-step explanation:

4 pies with a third each is 4 times

+

2 thirds with is 2 so 4 times 3 is 12 plus 2 is

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