A traveler pulls a suitcase, as shown in the figure.
The force acting on the handle is 30 N at an angle of θ = 40°. How much work is done if the traveler moves 120 meters? Round to the nearest whole number.
2,314 Nm
2,758 Nm
3,085 Nm
4,156 Nm
&
A cart weighing 180 pounds rests on an incline at an angle of 35°. What is the required force to keep the cart at rest? Round to the thousandths place.
77.073 pounds
103.244 pounds
147.447 pounds
162.665 pounds
Answers
Answer:
2758 Nm
Step-by-step explanation
Work done usually depends on two things force applied and distance travelled due to applied force. In this current scenario, the force is being applied at an angle so we will have to find a component of force in the direction of the movement.
We usually find component using cos θ.
Here θ is 40°
Now, the modified equation becomes,
Work Done = Force * Distance * Component of force along the direction of distance
∴ Work = 30 N * 120 m * Cos 40°
⇒Work = 30 * 120 * 0.766
⇒Work = 2757.6 Nm
Rounding to the nearest whole number.
∴ The work done by force is 2758 Nm which is option B
The amount of work done will be 2758 Nm. Then the correct option is B. And the required force to keep the cart at rest will be 147.447 pounds. Then the correct option is C.
What is work done?The product of the force and displacement.
WD = F × d × cos θ
A traveler pulls a suitcase, as shown in the figure.
The force acting on the handle is 30 N at an angle of θ = 40°.
Then the amount of work done if the traveler moves 120 meters will be
WD = 30 × 120 × cos 40°
WD = 30 × 120 × 0.766
WD = 2758 Nm
Then the correct option is B.
A cart weighing 180 pounds rests on an incline at an angle of 35°.
The required force to keep the cart at rest will be
Fₓ = F × cos θ
Fₓ = 180 × cos 35°
Fₓ = 147.447 pounds
Then the correct option is C.
More about the work done link is given below.
https://brainly.com/question/13662169
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Related Questions
In a recent survey, 8 people were each asked the number of times they have been on an airplane. Here is a list of the responses.
9, 21, 7, 11, 13, 21, 5, 14
Find the range of the data set.
Answers
Explanation: Range is the difference between the highest and lowest number.
21 - 5 = 16.
Answer: The range of the data set is: " 16 " .
______
Explanation:
The range is calculated by subtracting the lowest value in the given data set from the highest value in the data set.
______
Given: The data set: 9, 21, 7, 11, 13, 21, 5, 14 ;
Let us organize these numbers from lowest value to highest value:
" 5, 7, 9, 11, 13, 14, 21, 21 " ;
Note: This is done by inspection. Note that all eight (8) values are accounted for.
So, we subtract the lowest value in our given data set: "5" ;
from the highest value in our given data set: "21" ; to get the "range":
→ " 21 − 5 = 16 " ;
______
The range is: " 16 " .
______
Hope this is helpful! Best wishes!
CAN SOMEONE HELP ME PLS
Answers
Answer:
9.2
Step-by-step explanation:
Find the coordinates and plug em into the equation. (-5,5) (1,-2)
Square root 85 is 9.2.
Answer:
9.2 (if rounded to the nearest tenth)
HURRY UP 10 MIN LEFT (100 points)!!!!!!!!!!!
Which of the following words is not a translation for "=?"
equals
similar
is
equal to
Answers
Answer:
similar
Step-by-step explanation:
Answer:
Similar
Step-by-step explanation:
For similarity or congruence we use ~ symbol not equal to
Is equal to also denote to =Equals is generally= Which expression is equivalent to 50E(n(41+3))?
n=1
Answers
Answer:
its D
Step-by-step explanation:
equivalent of 50En-1+n(4n+3))is4{50(50+1)(2×60+1)+3{50(51)_2}
I NEED HELP WITH THIS QUESTION PLEASE, i don't have much time T^T
i'll give brainliest and points, thank you in advancee <33
an explanation for future reference would be appreciated!!^^
Answers
Answer:
Option b is the correct answer
Step-by-step explanation:
[tex]\cos x = -\frac{12}{13}[/tex] (Given)Formula relating sin x and cos x is given as below:[tex]\sin^2x = 1-\cos^2x[/tex][tex]\implies \sin^2x = 1-\bigg(-\frac{12}{13}\bigg)^2[/tex][tex]\implies \sin^2x = 1-\frac{144}{169}[/tex][tex]\implies \sin^2x = \frac{169-144}{169}[/tex][tex]\implies \sin^2x = \frac{25}{169}[/tex][tex]\implies \sin x =\pm\sqrt{ \frac{25}{169}}[/tex][tex]\implies \sin x =\pm \frac{5}{13}[/tex]It is given that: 180° < x < 270°. This means x falls in the third quadrant. In third quadrant sin ratio is negative.[tex]\implies \sin x =- \frac{5}{13}[/tex]Now, we will find the value of tanx by dividing sinx by cosx.[tex]\implies \tan x =\frac{\sin x}{\cos x}[/tex][tex]\implies \tan x = \frac{-5/13}{-12/13}[/tex][tex]\implies\red{\bold{ \tan x =\frac{5}{12}}}[/tex]tan (90° + x) and tan x both lie in the interval 180° < x < 270°. So, the values of both will be equal.[tex]\implies \tan (90\degree + x ) =\tan x[/tex][tex]\implies \huge{\purple{\tan (90\degree + x ) =\frac{5}{12}}}[/tex]P(Head, Diamond AND Head, Heart) = ?
Answers
Using it's concept, it is found that the desired probability is given as follows:
P(Head, Diamond AND Head, Heart) = 1/64.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, for each trial, there are 8 equally as likely outcomes, hence:
P(Head, Diamond) = 1/8.P(Head, Heart) = 1/8.Hence the probability of both outcomes is given by:
P(Head, Diamond AND Head, Heart) = 1/8 x 1/8 = 1/64.
More can be learned about probabilities at https://brainly.com/question/14398287
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Pls help me with them I will give brainilist
Answers
Answer:
All integers are rational numbers .
Step-by-step explanation:
please mark as branliest
Austin worked 28 hours last month and won $8 per hour. he was already spent $19 of your income. How much money does he have left?
Answers
Answer:
[tex]\huge\boxed{\sf \$\ 205}[/tex]
Step-by-step explanation:
Work hours = 28 hours
Earning = $8 per hour
1 hour = $8
28 hours = $8 × 28
28 hours = $224
He has earned $224 last month.
Spent = $19
Left:
= Earning - Spent
= $224 - $19
= $205
[tex]\rule[225]{225}{2}[/tex]
factor the quadratic trinomial x^2-8x+18
(x+ )(x+ )
Answers
Answer:
This is prime.
No factors.
Step-by-step explanation:
A rectangular plot measures 140m by 20m find the area in ares
Answers
Answer:
28ares
Step-by-step explanation:
that's the correct way.i hope you will understand it. if there's any question feel free to ask. nice day.
Jackson is told that he will be given 1 cent for working today. However, for each day he works, he will get double the pay. So, on day 2, he gets 2 cents, on day 3, 4 cents, and so on. Jackson thinks, no way, that’s not much money. But if he agrees, how much will he make on day 20?
Answers
Question
Jackson is told that he will be given 1 cent for working today. However, for each day he works, he will get double the pay. So, on day 2, he gets 2 cents, on day 3, 4 cents, and so on. Jackson thinks, no way, that’s not much money. But if he agrees, how much will he make on day 20?
Answer:
48 cents
Step-by-step explanation:
Yes yes yes
What are irrational and rational numbers?
Answers
An irrational number is a type of real number which cannot be represented as a simple fraction.
A rational number is a number that can be expressed as an integer or the quotient of an integer divided by a nonzero integer.
Answer:
here is the definition of irrational and rational numbers
what is the slope of the liner equation y=7x-2
Answers
Answer:
Hence, slope of y=7x−2 is 7 and y -intercept is −2.
Step-by-step explanation:
The equation of any straight line can be written as y=mx+c, where m is its slope and c is its y-intercept.
Comparing the equation y=7x−2 with the standard form of the equation, we get:
m=7,c=−2
Hence, slope of y=7x−2 is 7 and y -intercept is −2
Hope this helps :)
misleading graph. help me how to make brand A popular than brand B
Answers
Answer:
use a scale that starts at 0
Step-by-step explanation:
The graph is misleading because the vertical scale does not start at zero.
__
To better represent the brand relationship, the vertical axis should start at zero. The amounts differ by less than 1/2%, so the bars on that scale would appear to have virtually identical heights.
Please help i need to pass math
Answers
Answer:
[tex]6 {x}^{2} - 5x - 4[/tex]
Step-by-step explanation:
[tex](2 {x}^{2} - 3x + 1) + (4 {x}^{2} - 2x - 5) = \\ 2 {x}^{2} + 4 {x}^{2} - 3x - 2x + 1 - 5 = \\ 6 {x}^{2} - 5x - 4 [/tex]
Answer:
B
Step-by-step explanation:
topic: polynomials
Just add like terms
Which is a regular hexagon?
A.
B.
C.
D.
Answers
A regular hexagon consists of 3 main characteristics:
It is a closed shape.Six equal sidesSix equal anglesAnswer: Here u go
Step-by-step explanation:
Make a box and whisker plot of the data. 20,23,28,14,13,24,18,11
Answers
Population size: 8
Median: 19
Minimum: 11
Maximum: 28
First quartile: 13.25
Third quartile: 23.75
Interquartile Range: 10.5
Outliers: none
- Attached image is the box and whisker plot
What is the volume of the figure?
Answers
Answer:
341.25
Step-by-step explanation:
You first split the figure into 2 pieces the triangular prism and the rectangular prism now that we know the dimensions of each figure we can create an expression, we will start with the triangular prism. the expression will be 3/2 x 5/2 x 10.5. Then we solve the rectangular prism. 5 x 5 x 10.5.
Now that we have acquired all the math that we need we can continue to simplify. 3 x 2 x 5/2 was derived from (3 x 5)/2 and we physically drew it out with properties of algebra (a later topic to study) anyways we get 15/2=7.5 and we multiply that by 10.5 giving us 78.75. the triangular prism is easier we just do 25 x 10.5 giving us 262.5. Now that we have succumbed both figures we can combine the to get the volume which is 341.25 (78.75 + 262.5).
Juan can type 27 words in 9 minutes.
What is his rate in words per minute?
words per minute?
Answers
Answer:
3 words per minute
Step-by-step explanation: First you divide 9 by 9 to get one then you divide 27 by nine to get 3 simple
Answer:
y=3
Step-by-step explanation:
27=y x 9
27/9= y x 9/9
3=y
3words x9minutes =27words in 9 minutes 3 words a minute.
I used y because x would look tacky next to another x
12250 depreciates by 6% per year how much is the tractor worth after six years
Answers
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &12250\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &6\\ \end{cases} \\\\\\ A=12250(1 - 0.06)^{6}\implies A=12250(0.94)^6\implies A\approx 8450.90[/tex]
A jar of pennies weighs 50 ounces. If the number of pennies inside the jar is doubled, the jar of pennies will weigh 92 ounces. How much does the jar weigh?
Answers
Hope this helps
Answer:
8 ounces
Step-by-step explanation:
50×2=100
100-92=8
there ya go
An animal shelter had 45 animals adopted over one week. The ratio of dogs to ferrets was 5:1. The ratio of cats to dogs was 9:5.
Select the diagrams that would represent the types of animals adopted.
How many of each type of animals were adopted?
Answers
There are total 15 dogs, 27 cats, and 3 ferrets were adopted if the ratio of dogs to ferrets was 5:1. The ratio of cats to dogs was 9:5.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have:
An animal shelter had 45 animals adopted over one week. The ratio of dogs to ferrets was 5:1. The ratio of cats to dogs was 9:5.
Combine ratio dogs:ferrets:cats = 5:1:9
Let's suppose the number of ferrets is x then:
5x + x + 9x = 45
15x = 45
x = 3
Ferrets x = 3
Dogs = 5x = 5(3) = 15
Cats = 9x = 9(3) = 27
Thus, there are total 15 dogs, 27 cats, and 3 ferrets were adopted if the ratio of dogs to ferrets was 5:1. The ratio of cats to dogs was 9:5.
Learn more about the ratio here:
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What is the equation of the line shown in the graph?
Answers
Answer:
y = -x – 2
Step-by-step explanation:
Slope is ΔY/ΔX = -1
plug this into the equation:
1=-(-3) +b
= -2=b
so we get; y = -x – 2
Answer: y = -x - 2
Step-by-step explanation:
I will be writing this equation in slope-intercept form.
First, we will find our m value, also known as the slope.
[tex]\displaystyle \frac{\text{change in y}}{\text{change in x}} =\frac{1--4}{-3-2} =\frac{5}{-5}=-1[/tex]
Now, we will find our b value, or the y-intercept.
-> The line intercepts the y-axis at (0, -2), so our y-intercept is -2.
Lastly, we will write our equation.
y = mx + b
y = -x - 2
Read more about writing slope-intercept equations here:
https://brainly.com/question/15143525
If overhead is applied to individual jobs at a rate of 50% of direct labor costs incurred per job, and $50,000 in direct materials were used and $25,000 of direct labor was required, what was the total cost of the job?
a) $25,000
b) $50,000
c) $12,500
d) $87,500
Answers
The total cost of the Job in the question is; D: $87,500
How to find the total Cost?
We are given that;
Direct Labor = $25000
Cost of direct materials used = $50000
Overhead is 50% of direct labor costs. Thus;
Overhead Cost = 50% * $25000 = $12500
Total Cost of Job = Overhead Cost + Materials Cost + Labor Cost
Total Cost of Job = $87,500
Read more about Total Cost at; https://brainly.com/question/25109150
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please help mehhhh quick
Answers
Answer:
A
Step-by-step explanation:
If you read the sentences aloud, A is the only answer that makes grammatical sense, since colons are short pauses in sentences, much like commas. Colons are also commonly used for the beginning of a list, as shown here.
Hope this helped!
PLSS HELP ILL GIVE BRAINLIEST ASAP
Find the surface area of the regular pyramid
Answers
BH + 4(1/2BH)
11*11 + 4*1/2(11*14)
2. 179.1 yds^2
1/2BH+ 4*1/2BH
1/2(9*7.8) + 4(1/2*9*8)
Factor the quadratic trinomial x²- 9x+18
(x + ) (x+ )
Answers
Answer:
(x - 6)(x - 3)
Step-by-step explanation:
x² - 9x + 18
consider the factors of the constant term (+ 18) which sum to give the coefficient if the x- term (- 9 )
the factors are - 6 and - 3 , since
- 6 × - 3 = + 18 and - 6 - 3 = - 9 , then
x² - 9x + 18 = (x - 6)(x - 3) ← in factored form
Answer:
(x - 3)(x - 6)
Step-by-step explanation:
x²- 9x+18
= x^2 - 6x - 3x + 18
= x(x - 6) - 3(x - 6)
= (x - 3)(x - 6).
What is the surface area of the rectangular prism below?
Answers
Answer:
the answer is A. 612
Step-by-step explanation:
SA=2(wl+hl+hw)
parenthesis() mean multiply
x means multiply
SA= 2 x width x length + height x length + height x width
The scores of a recent test taken by 1200 students had an approximately normal distribution with a mean of 225 and a standard deviation of 18. determine the number of students who scored between 200 and 245
Answers
If the probability will be 0.7842. Then the number of students who scored between 200 and 245 will be 941.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The scores of a recent test taken by 1200 students had an approximately normal distribution with a mean of 225 and a standard deviation of 18.
Then the number of students who scored between 200 and 245 will be
Then the z-score for x = 200
[tex]z = \dfrac{200-225}{18}\\\\z = -1.389[/tex]
Then the z-score for x = 245
[tex]z = \dfrac{245-225}{18}\\\\z = 1.1111[/tex]
Then we have
[tex]\begin{aligned} P(-1.39 < z < 1.11) &= P(z < 1.11) - P(z < -1.389)\\\\&= P(z < 1.11)- [1-P(z > -1.389)] \\\\&=0.8665 - (1-0.9177) \\\\&=0.7842 \end[/tex]
Then the number of students who scored between 200 and 245 will be
→ 0.7842 × 1200
→ 941.04 ≅ 941
More about the normal distribution link is given below.
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Find the area of triangle
Answers
Answer:
C- 17 cm
A- 9cm
Step-by-step explanation:
C - because plus 9 and 8 is 17 cm
A - because plus 4 and 5 is 9 cm
