The resultant force is
→F=321.9N at−165.4°
The equilibrant is
→Feq=321.9N at14.6°
Explanation:
This problem requires that we resolve the force vectors into x- and y-components.
Once this is done, we can add the components easily, as the one 2-dimensional problem will be two 1-dimensional problems.
Finally, we will convert the resultant force into standard form and find the equilibrant.
Resolve into components:
F1x=F1cos180°=215(−1)=−215N
F1y=F1sin180°=0N
F2x=F2cos(−140°)=126(−0.766)=−96.5N
F1y=F1sin(−140°)=126(−0.643)=−81.0N
Note the change of the angle used to give the direction of F2. Standard angles (rotation from the x-axis; counterclockwise is +) should be used to avoid sign errors in the results.
Now, we add the components:
Fx=F1x+F2x=−311.5N
Fy=F1y+F2y=−81.0N
Technically, this is the resultant force. However, it should be changed back into standard form. Here's how:
F=√(
Jack went to the cash point. He drew out the same amount of money as he had in his pocket. He then spent £40 on CDs.
Jack went back to the cash point.
He drew out the same amount of money as he had in his pocket.
He then spent a further £40 on CDs. Jack did this a third time.
He then had no money left. How much money did he have with him to start?
Answer:
£30
Step-by-step explanation:
Jack had 30 pounds, he withdrew 30 more and had 60,he spent 40 and was left with 20.Then he withdrew 30 more and had 50,he spent 40 and was left with 10.Then he withdrew 30 more and had 40,he spent 40 and was left with 0 meaning he had no money
While mining, Jason found a large metal bar that weighed 50 ounces. Jason was also able to determine that the bar contained 60% nickel. How many ounces of nickel are in the metal bar?
Answer:
The answer is 30
Step-by-step explanation:
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
If 60% of nickel is present in the metal bar that weighs 50 ounces.
The amount of ounces of nickel in the metal bar is 30 ounces.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% of 100 = 50/100 x 100 = 50
20% of 40 = 20/100 x 40 = 8
We have,
Weight of the metal bar = 50 ounces.
The percentage of nickel in the metal bar = 60%
The amount of nickel in the metal bar:
= 60% of 50 ounces
= 60/100 x 50 ounces
= 30 ounces
Thus,
If 60% of nickel is present in the metal bar that weighs 50 ounces.
The amount of ounces of nickel in the metal bar is 30 ounces.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2
peter says, "If you subtract 11 from my number and multiply the difference by -2, the result is -26." What is Peter's number?
Answer:
24
Step-by-step explanation:
Reverse
-26/-2= 13
13+11=24
Check
24-11=13
13×-2= -26
I beleive the answer is 7.5 because -26 plus 11 = -15 then -15 divided by -2 = 7.5
this is probably wrong I didnt do it on paper
help me asap 40 points in the next 10 minutes a store is going to make a trail mixture of peanuts and chocolate candies. They want the mixture to sell for 3.20 per pound.
peanuts sell for 4.50 per pound and they are going to use 20 pounds of peanuts. If chocolate candies sell for 2.25 per pound how much pounds of the chocolate candies should they use round to the nearest pound.
Answer:
30 pounds
Step-by-step explanation:
took test
What is the reflection image of (4, -1) across line y=x?
a
(-1,4)
b
(-1,-4)
c
(1,-4)
d
(-4,1)
Answer:
I think it is a. (1,-4) b. (1,4) c. (-1,4) and d. (4, -1)
Step-by-step explanation:
Im sorry if this did not help you but I tried.
Answer:
A (-1, 4)
Step-by-step explanation:
When you reflect over the y=x line the rule is that the Y and X switch places. So, (4, -1) ---> (-1, 4)
What is the distance between 1.5 and -2
Answer:
-1.5,0,1
Step-by-step explanation:
In quadrilateral BADC, AB=AD and BC=DC. The line AC is a line of symmetry for this quadrilateral.
Quadrilateral B A D C.
a. Based on the line of symmetry, explain why the diagonals AC and BD are perpendicular.
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Answer:
a line of symmetry is always the perpendicular bisector of a point and its symmetrical image
Step-by-step explanation:
A line of symmetry is a perpendicular bisector of any segment joining a point and its symmetrical image. B and D are symmetrically located about line AC, so AC must be a perpendicular bisector of BD.
(1.2/0.375-0.2)/(6.16/15.4+0.8)=(0.016/0.12+0.7)/x
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Answer:
x = 1/3
Step-by-step explanation:
The solution to ...
a = b/x
is ...
x = b/a
It is convenient to let a calculator do the tedious arithmetic.
x = (0.016/0.12+0.7)/((1.2/0.375-0.2)/(6.16/15.4+0.8))
x = 1/3
Please Help!!!!!!!!
19. The velocity of an object fired directly upward is given by V = 35 – 9.8t, where t is time in seconds. Which inequality describes the velocity when t is between 0.5 and 1.5 seconds? (HINT: Remember that when you multiply an inequality by a negative number, you must switch the direction of the inequality.)
A. 20.3 > 35 - 9.8t > 30.1
B. 4.9 > t > 14.7
C. 0.5 35 - 9.8t > 4.9
D. V < 30.1
E. 20.3 < 35 - 9.8t < 30.1
F. 14.7 > 35 - 9.8t > 4.9
Answer:
20.3 < 35 - 9.8t < 30.1
Step-by-step explanation:
Given the Velocity model:
V = 35 – 9.8t ; t = time in seconds
V when t is between 0.5 and 1.5
V when t = 0.5
V = 35 - 9.8(0.5)
V = 35 - 4.9 = 30.1
Vt=0.5 = 30.1
V when t = 1.5 ;
V = 35 - 9.8(1.5)
V = 35 - 14.7 = 20.3
Vt= 1.5 = 20.3
Hence V, between, t = 0.5 and t = 1.5
Vt=1.5 < V < Vt=1.5
20.3 < V < 30.1
V = 35 - 9.8t
20.3 < 35 - 9.8t < 30.1
in 2009,Alaska suffered an earthquake of magnitude m=7.1. find the intensity of that earthquake
Answer:
Here you go :)
7.0 to 7.9 Major earthquake. Serious damage. 20
Or
Major 7 - 7.9
________
Answered by James
Step-by-step explanation:
Look at the situation below. Which equation determines how far they travel in feet (F) per second (S)? Mary walks her dog every morning before school. They travel 4 feet per second.
Answer:
Feet / per second
4 feet/per second
Step-by-step explanation:
Which best describes the solution set of the compound inequality below?
Answer:
All real numbers except x=1.
7. Solve the equation using inverse operations. 3 + x = 7
a.
b. x
Il
c. x = 16
d. x = - 16
What is the slope-intercept equation of the line below?
5
-5
H
O A. y = 2x+1
O B. y=-2x+1
O C. y= 2x-1
O D. y=-2x-1
Answer:
could I have a picture of the line
1. At Doug's discount all CDs sell for the same price. There is also one price for
DVDs. Dave buys three CDs and two DVDs for $67. Joyce buys two CDs and four
DVDs for $90.
(4 pts.)
What is the price of one CD? One DVD?
Answer:
I know Dave's one is 13.04$ Just to get you started.
Step-by-step explanation:
If you divide Dave's one, which is 67 by 5, you get 13.05.
Do the same with Joyce's.
Determine the type and number of solutions for the follow equation.
x² – 8x=-7
estimate 203*12 = answer it plzzz
Answer:
2,436
Step-by-step explanation:
Answer: 2400 estimated
Step-by-step explanation:
Real answer would be 2,436
0.01 is 1/10 of what? Pls help
Answer:
A thousand
Step-by-step explanation:
If correct please give brainliest <3
Please help !! I am having trouble, I keep getting this question wrong.
Answer:
sure
Step-by-step explanation:
I will do that okay
7 1/5 - 6 2/5 = ?
A. 1 4/5
B. 4/5
C. 13 3/5
D. 1 1/5
PLEASE help it's due like right now
Answer:
B (6,7)
Step-by-step explanation:
point x has moved 2 places left, so you move z to places left
Xavier plays an online video game that allows him to control many different characters. Each character starts the game with 200 gold coins and receives 30 gold coins for each month that passes within the game. If Xavier controls 50 characters and the numbers of months passed within the game is represented by x which function can be used to determine the total number of gold coins that Xavier has collected in the game
Answer:
c
Step-by-step explanation:
Answer:
Step-by-step explanation:
The question is.
Xavier plays a video game that allows him to control many different characters.
Each character starts the game with 200 gold coins.
Each character receives 30 gold coins for each month that passes within the game.
Xavier controls 50 characters in the video game.
Which function shows the relationship between A(x), the total number of gold coins that Xavier has collected playing the game, and x, the number of months that have passed within the video game?
Your answer would simply be C. A(x) = 50(30x + 200)
Because, your basicaly puting it in an equation, and pluse i got it right on my test so yea
please help me I don't understand ;-;
Answer:
-3.8
Step-by-step explanation:
to find the average [mean] of a data set, you add all the numbers [-19] and then divide by the amount of numbers [5]
Answer:
-3.8
Step-by-step explanation:You add all of the number together and divde the sum by however man numbers. (-4)+(-7)+(-2)+(-4)+(-2)=-19.-19 divided by 5 equals -3.8
If a right triangle has two legs of 7m and 24m what is the length of the longest side? *
Answer:
It would be 24m
Step-by-step explanation:
The longest side of a right triangle is the hypotenuse.
Use the Pythagorean theorem to solve for the hypotenuse:
X = sqrt(7^2 + 24^2)
X = sqrt( 49 + 576)
X = sqrt(625)
X = 25
The longest side is 25m
Which fraction is equivalent to this decimal?
0.16¯
Answer: 4/25 ILY <3
Step-by-step explanation:
Answer:
1/6?
Step-by-step explanation:
Which pair of lines are perpendicular?
A y=-8 and y = 2
B y= -4x + 1 and 8X+2Y=-10
C x=4 and y= -1
D x-y=7 and y=x+3
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Answer:
C. x=4 and y= -1
Step-by-step explanation:
A: lines are parallel (both are horizontal)
B. lines are parallel (both have slope -4)
C. lines are perpendicular (one is vertical, one is horizontal)
D. lines are parallel (both have slope 1)
show the steps you take and the final answer you get when you evaluate the expression.
Answer:
28
Step-by-step explanation:
(4+5x)-x^2
(4+5(3))-3^2
(4+15)+9
19+9
28
7x + 3x + 4 - 24 (Given)
10x + 4 = 24 (Simplify)
10x = 20)
x = 2 (Division)
What is the missing reason for the argument shown?
A)
addition.
B)
division
C)
subtraction
D)
multiplication
Answer:
The missing reason for the shown argument is subtraction.
Step-by-step explanation:
Select two ratios that are equivalent to 7: 10.
Just trying to get my late work done ✅ thxs
Answer:
21:30
35:50
Step-by-step explanation:
21 divide by 3 =7 30 divide by 3=10
35 divide by 5=7 50 divide by 5=10
How many subsets of 5 e elements can be made from a set of 7 elements?
Answer:
seems like this.
Step-by-step explanation:
From set theory, the factorial combinations are 2^N where N are the number of induvidual mambers of the set and that includes the null set. If we require that one element be the minimum to form a set, this eliminates the empty set (and there is only one empty set) so we must subtract one from the formula. The correct answer is therefore 2^N-1. In this case that is 2^5–1 = 31.