1answer.
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
Nady [450]
3 years ago
11

Two forces with magnitudes of 100 and 50 pounds act on an object at angles of 50° and 160°, respectively. Find the direction and

magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.
Mathematics
1 answer:
shusha [124]3 years ago
6 0
Forces in direction x:
 
fx1 = 100 * cos (50) = 64.28
 fx2 = 50 * cos (160) = - 46.99
 The resultant is:
 fx = fx1 + fx2 = 17.29

 Forces in direction y:
 
fy1 = 100 * sine (50) = 76.60
 fy2 = 50 * sine (160) = 17.10
 The resultant is:
 fy = fy1 + fy2 = 93.70
 The magnitude of the resulting force is:
 
f = root (fx ^ 2 + fy ^ 2)
 f = root ((17.29) ^ 2 + (93.70) ^ 2)
 f = 95.28
 The angle is:
 
theta = atan (fy / fx)
 theta = atan (93.70 / 17.29)
 theta = 79.55 degrees
 Answer:
 
The direction and magnitude of the resultant force are:
 
f = 95.28 pounds at theta = 79.55 degrees
You might be interested in
What is the average rate of change for f(x)?<br><br> Enter your answer as a fraction
Mashutka [201]

Answer:

The average rate of change is 1/4

Step-by-step explanation:

As you can see in the chart, for every four units rightward, the line goes up one unit.  That means f(x) has an average rate of change of 1/4.

6 0
3 years ago
Simplify using the distributive property, Show all work (-2x - 9)(-4).
fgiga [73]
-2x(-4)=8x
-9(-4)=36
8x+36 is the answer
6 0
3 years ago
Please help me answer this <br><br> Explain you’re answer <br><br> Will give braisnlt
fgiga [73]

Answer:

b should be correct

Step-by-step explanation:

you times the amount of hours by 20 and then add the 35 into the total value of 120

5 0
3 years ago
HELP ME PLEASE AND PLEASE ATTACH THE ANSWER BELOW (NO LINKS!!)
den301095 [7]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A blind taste test will be conducted with 9 volunteers to determine whether people can taste a difference between bottled water
Aloiza [94]

Answer:

The answer is \frac{1}{256}

Step-by-step explanation:

If we assume that people cannot taste a difference between bottled water, then the probability of identifying tap water is 0.5

Thus, P(identify tap water)=0.5

The probability that at least 8 of the 9 people identify the tap water correctly is the sum of the probabilities

  • 8 of 9 people identified correctly or
  • 9 of 9 people identified correctly

Since P(identify tap water)=0.5 each probabilities are the same and equal to

0.5^9 =\frac{1}{512}

So we have 2*\frac{1}{512} = \frac{1}{256}

6 0
3 years ago
Other questions:
  • margaret is certain that every time she parks in the garage it costs her at least $1.90. if the garage charges 40 cents plus 30
    7·1 answer
  • A 0.2-kilogram red ball is thrown horizontally at a speed of 4 meters per second from a height of 3 meters. A 0.4-kilogram green
    13·1 answer
  • Work out<br> a) 1 divided by 1/9
    7·2 answers
  • Determine if 25 is rational or irrational and give a reason for your answer.
    12·1 answer
  • a recipe requires 1/3 cup of milk for each 1/4 cup of water how many cups of water are needed for each cup of milk
    12·1 answer
  • Bananas are $0.59/pound, what is the constant of proportionality?
    5·1 answer
  • What is the solution to this equation?
    11·1 answer
  • Convert 252° to radians.
    14·2 answers
  • A teacher is assessing the correlation between the number of hours spent studying and the average score on a science test.
    8·2 answers
  • HELP I NEED HELP ASAP
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!