NEED HELP ASAP. WILL GIVE BRAINLIEST
Let w represent the sum of vectors u and v. Find the magnitude of w and the angle between w and u given the following information: u = 14 |v1 = 16 The angle between u and w is 120°.
The magnitude of w is approximately?
The angle between w and u is approximately?
Answers
Answer:
The magnitude of w is approximately 26.
The angle between w and u is approximately 32.2°.
Step-by-step explanation:
The magnitude of w is approximately 15.1, and the angle between w and u is approximately 62.67 degrees and this can be determined by using the given data.
Given :
Let w represent the sum of vectors u and v. |u| = 14 |v| = 16 The angle between u and w is 120°.a) The magnitude of 'w' is calculated using the below formula:
[tex]w = \sqrt{u^2+v^2+2uvcos\theta }[/tex]
Now, substitute the values of u, v, and [tex]\theta[/tex] in the above formula.
[tex]w = \sqrt{14^2+16^2+2\times14\times16\;cos120 }[/tex]
Simplify the above expression.
[tex]w =15.1[/tex]
b) The angle between w and u is calculated using the below formula:
[tex]tan\beta =\dfrac{vsin120}{u+vcos120}[/tex]
Now, substitute the above values of u and v in the above expression.
[tex]tan\beta =\dfrac{14\times sin120}{14+16\times cos120}[/tex]
Simplify the above expression in order to determine the value of [tex]\beta[/tex].
[tex]\beta = 62.67^\circ[/tex]
The magnitude of w is approximately 15.1, and the angle between w and u is approximately 62.67 degrees.
For more information, refer to the link given below:
https://brainly.com/question/13188123
Related Questions
What is the speed of a cheetah that travels 116 m in 3.0seconds
Answers
This is because speed= distance/time
Answer:
38.6666666667
Step-by-step explanation:
speed = distance/time.
Time: 3.0
Distance: 116 miles.
116/3.0 = 38.6666666667.
At noon, the temperature on Mt. Washington in Maine was 0°C. The temperature dropped an average of -0.5°C an hour. At what time would the temperature be -2.5°C? Explain what you did to get your result.
Answers
Answer:
5:00 pm
Step-by-step explanation:
Given that:
Temperature at noon = 0°C
Average temperature drop rate = - 0.5°C per hour
What time would temperature be - 2.5°C
Hence, target temperature = - 2.5°C
Time taken for temperature to drop = (target temperature / temperature drop rate)
Time taken = - 2.5°C / - 0.5°C / hr
Time taken = 5 hours
Hence, the time at which temperature will be - 2.5°C equals 5 hours after noon
12: 00 noon + 5 hours = 5:00 pm
Hence, temperature will be - 2.5°C by 5:00 pm
Write (4,0) and (0,6) in standard form
Answers
Answer:
4x + 6y = 0
Step-by-step explanation:
Hope that helps pelase gve me brainliest
What is the slope of the linear function shown in the table below:
Answers
Answer:
It's 2
Step-by-step explanation:
Positive 2.
(not -1/2)
(0, -4) and (1, -2)
(-2+4)/(1-0) = 2/1 = 2
The slope is 2
9. What is the domain of the relation {(−2, 4), (1, 3), (0, −4), (3, 2)}?
Answers
Answer:
{-2, 0, 1, 3}.
Step-by-step explanation:
First of all domain is the x- coordinates. The domain of the relation is
{-2, 0, 1, 3}.
Hope this helped! If so, plz mark brainliest.
The domain of the given relation i.e. {(−2, 4), (1, 3), (0, −4), (3, 2)} should be considered as the (2,1,0,3).
What is the domain in relation?It is the set of all x values and the range represent the set of all y values with respect to the set of ordered pairs. It should be written as the (x,y) at the time when the set of ordered pairs, so first we have to find the domain for x values from the relation.
hence, The domain of the given relation i.e. {(−2, 4), (1, 3), (0, −4), (3, 2)} should be considered as the (2,1,0,3).
Learn more about domain here; https://brainly.com/question/24455077
What is the slope of this line?
A: - 1/3
B: - 2/3
C: 2/3
D: 1/3
Answers
Answer:
The answer is C. 2/3
Step-by-step explanation:
Answer:
C. 2/3
Step-by-step explanation:
equation for slope: y2 - y1 / x2 - x1
Pick any two exact points from the line. I will use (0, -3) and (3, -1)
The y's for both points are -3 and -1. The x are 0 and 3. Plug that into the equation
-3 - (-1) / 0 - 3
= -3 +1 / 0 - 3
-2/-3
Negatives cancel so it becomes positive
So the slope is 2/3
Of two consecutive integers, four times the smaller is 30 more than three times the larger. Find both integers,
Answers
Answer:
33 and 34
Step-by-step explanation:
Let the integers be x and x+1 respectively.
4x = 3(x+1) + 30
x = 33
therefore, the integers are 33 and 34
This is a question on forming and solving algebraic equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
the table shows conversions of common units of length.
Unit of Length
Customary System Units
Metric System Units
1 inch
2.54 centimeters
1 foot
0.3048 meters
1 mile
1.61 kilometers
1 yard = 3 feet
1 yard = 36 inches
Which shows the best path to find the number of centimeters in 1 yard?
yards Right-arrow inches Right-arrow centimeters
yards Right-arrow feet Right-arrow centimeters
centimeters Right-arrow feet Right-arrow inches
centimeters Right-arrow feet Right-arrow yards
Answers
Answer:
the first option
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
i got it right
HELP FASTT!! Will give BRAINLIST
Simplify.
4to the third power x 4 to the fourth power
Over 4 to the ninth power
A) 4 to the 16th power
B) 4 to the 2nd power
C) 1 over 4 to the 2nd power
D) 1/4
Answers
Answer:
the answer to that is 1/4^2
Jamie tossed a coin 50 times. The coin landed on heads 27 times and landed on tails
23 times. What is the relative frequency of landing on heads?
Answers
Answer: 54%
Step-by-step explanation:
The relative frequency of landing on heads is 0.54 or 54%.
Given that Jamie tossed a coin 50 times.
Head showed for 27 times.
Tails showed for 23 times.
We need to find the relative frequency of landing on heads,
The relative frequency of an event is calculated by dividing the number of times the event occurred by the total number of trials or occurrences.
In this case, Jamie tossed a coin 50 times, and it landed on heads 27 times.
To find the relative frequency of landing on heads, we divide the number of times the coin landed on heads (27) by the total number of tosses (50):
Relative Frequency of landing on heads = Number of heads / Total number of tosses
Relative Frequency of landing on heads = 27 / 50
Simplifying this fraction, we get:
Relative Frequency of landing on heads = 0.54
This means that, based on the given data, the coin landed on heads approximately 54% of the time in the 50 tosses performed by Jamie.
Therefore, the relative frequency of landing on heads is 0.54 or 54%.
Learn more about Relative Frequency click;
https://brainly.com/question/28342015
#SPJ2
elbow said freewriting is an exercise in bringing together the process of producing words and putting them down on the page do you agree with his statement why why not
Answers
Answer:
No, his statement is incorrect.
Explanation:
Freewriting is to put thoughts onto a page as they come into your head without thinking too much about it.
which point satisfies the system of equations y = 3x - 2 and y = -2x + 3
1. A
2. B
3. C
4. D
Answers
Answer:
D
Step-by-step explanation:
Simplify(6^5/7^3)^2 .................help please
Answers
Answer:
513.95402 I think lol
4.1 7776 = 25•35
(7776)2 = (25•35)2 = 210 • 310 4.2 343 = 73 (343)2 = (73)2 = 76
_____
343^2
Pls mark brainleist
Mark and Heather Starr are celebrating their 25th anniversary by having a reception at a local reception hall. They have budgeted $2,500 for their reception. If the reception hall charges a $60 cleanup fee plus $39 per person, find the greatest number of people that they may invite and still stay within their budget.
Answers
Answer:
62 personsStep-by-step explanation:
Step one:
given data
total budget=$2500
we are told that the hall charges $60 for cleanup, the amount is a fix charge
and per person is $39
let the number of persons be x
The model for the situation is described by y=mx+c
Step two:
2500=39x+60
solve for x
2500-60=39x
2440=39x
divide both sides by 39 we have
x=2440/39
x=62.56
The greatest number of people that they may invite and still stay within their budget. is 62
The temperature at midnight was −11°C. By midday, the temperature was 5°C.
What was the temperature during the morning?
Explain what method you used to find the temperature change.
Answers
Answer:
-3 celcius
Step-by-step explanation:
Answer:
6 ℃
Step-by-step explanation:
by substacring u will see it
La Srta. Vázquez tiene 17 una clase de estudiantes. Ella puede gastar 24 dólares por estudiante para comprar material de matemáticas para el año escolar. Ella compra primero calculadoras para todos sus estudiantes, con un costo total de 134,81 dólares . Después de comprar las calculadoras, ¿cuánto dinero le queda para gastar por estudiante? Lis ayúdenme debo entregar hasta el viernes
Answers
Answer:
A la Srta. Vázquez le quedan $18,39 para gastar por estudiante.
Step-by-step explanation:
Primero, tienes que dividir el costo total de las calculadoras que compró la Srta. Vázquez entre el número de estudiantes para saber cuánto gastó por estudiante:
134,81/24=5,61
Ahora que sabes cuánto gastó por estudiante, debes restar esto de la cantidad que puede gastar por estudiante para saber cuánto le queda:
24-5,61=18,39
De acuerdo a esto, la respuesta es que a la Srta. Vázquez le quedan $18,39 para gastar por estudiante.
Coach Pugh has 12 helmets and 8 footballs in his locker room. Wich ratios are equivalent to the ratio of helmets to footballs in coach pugh's locker room... (Select all that apply) ...... 1:3,,2:3,,3:2,,4:2,,6:4,,24:16
PLZ I WILL GIVE HIGH RANKING
Answers
Answer:
3:2 6:4 24:16
Step-by-step explanation:
3. Nicole has $17.50. Her grandmother gave
her $53.12 for her birthday. She then buys
a computer game that costs $37.25. How
much money does she have left?
E
Answers
Answer:
33.37
Step-by-step explanation:
Answer:
Nicole has $33.37 left
Step-by-step explanation:
($17.50+$53.12)-$37.25=$70.62-$37.25=$33.37
Which of the following equations has exactly one solution? A. 4 x − 4 + 2 x = 6 x − 4 B. 4 x − 8 = 4 ( x − 4 ) C. 3 x + 5 = 2 x − 6 D. 2 ( 4 x + 5 ) = 8 x + 10
Answers
Answer:
C. 3x + 5 = 2x -6
Step-by-step explanation:
help help help help
Answers
Answer:
Option 1
Step-by-step explanation:
-4x+6y-5z=60
for x-int, solve for x when y=0, z=0
-4x+6(0)-5(0)=60
x=-15 (-15, 0,0)
for y-int, solve for y when x=0, z=0
y=10 (0, 10,0)
for z-int, solve for z when x=0, y=0
z=-12 (0, 0,-12)
A study found that 8% of dog owners brush their dog's teeth. Of 25 dog owners, about how many would be expected to brush their dog's teeth? *
10 points
(1) 8
(2) 25
(3) 2
(4) 17
Answers
Gabriel is deciding between two different movie streaming sites to subscribe to. Plan A costs $8 per month plus $2.50 per movie watched. Plan B costs $24 per month plus $0.50 per movie watched. Let AA represent the monthly cost of Plan A if Gabriel watches xx per month, and let BB represent the monthly cost of Plan B if Gabriel watches xx movies per month. Write an equation for each situation, in terms of x,x, and determine which plan would be cheaper if Gabriel plans on watching 6 movies each month
Answers
Answer:
A= 2.50x+82.50x+8
B= 0.50x+240.50x+24
Step-by-step explanation:
Plan A is $4 cheaper than Plan B when watching 6 movies.
Cada semana de los últimos 3 años Lucía ha hecho 120 km en bicicleta y cada mes 100 km corriendo y 15 km nadando. Debe cambiar la bicicleta cada 20.000 km. ¿Tiene que cambiarla ya?
Answers
Answer:
Lucía no tiene que cambiar ya la bicicleta porque ha recorrido 18,720 km.
Step-by-step explanation:
Para determinar la respuesta tienes que encontrar la cantidad de km que Lucía ha hecho en 3 años multiplicando los 120 km que hace a la semana por la cantidad de semanas que hay en 3 años. Para determinar las semanas, tienes que considerar que en 1 año hay 52 semanas:
Semanas=52*3= 156 semanas
120*156=18,720 km
De acuerdo a esto, la respuesta es que Lucía no tiene que cambiar ya la bicicleta porque ha recorrido 18,720 km.
Rachel got 18 out of 30 correct on her science test. What percent did she get on her test?
Answers
Answer:
60% or D
Step-by-step explanation:
Divide 100 by 30
3.333333. . .
Multiply 18 by 3.333333. . .
The answer is 60%
Hope this helped :)
- 6
48
-
99
how to solve it
Answers
i gotta another question!!
−6+x/8=1
Solving Two-Step
p.s the -6 + x is both on top of 8
Answers
Answer:
14
Step-by-step explanation:
-6+x=1
8
-6+x=1×8
x=8+6
x= 14 ans
Graph y < -x - 1, I do not understand what to do without a slope given.
Answers
Answer:
Step-by-step explanation:
If you are not given a number before x always assume it is a 1 and if there are no visible denominators also assume that it is 1
In this case the inequality reads y<-1x/1-1
The slope is -1/1x or fall 1 crawl 1
The y-intercept is -1
I looked up the graph...
Derek scored a 15/25 on his math test and Meredith scored a 8/14 on her science test. Who had the best score? Explain.
Answers
Answer:
Derek
Step-by-step explanation:
15/25
8/14
find common factor:
350 is the lcm for both of them
Derek: 15/25= 210/350
Meredith: 8/14= 200/350
So, Derek got a better score
Answer:
derek
Step-by-step explanation:
if u simplify them, meredith in simplest form in decimal is .571428
and derek when you simplify his in simplest form in decimal is .6
so therefore derek has a higher or better score
plz give me brainliest
Isaac buys a plant that is 3 inches tall. After one week the plant is 5 inches tall. After a second week the plant is 7 inches tall. At this rate, how tall will the plant be after the fifth week? a 15 inches tall b 2 inches tall c 13 inches tall d 11 inches tall
Answers
Answer:
C 13 inches
Step-by-step explanation:
Because the plant grows two inches every week so if by the second week it is 7 inches tall just add 3 more weeks or 6 inches of growth to the 7 inches and you get your answer 13 inches
Do you agree or disagree. Explain based on the table or graph!
The domain of the distance/time graph is all real numbers (real numbers are all positive and negative numbers as well as all fractions).
In what time interval is the distanced travelled the greatest?
Answers
Answer:
I disagree.............................................................................
Step-by-step explanation: