Vector u has a magnitude of 4 with a direction of 50°. Vector v has a magnitude of 6 with
a direction of 25°. Which vector components represent the sum of u + v?

Vector U Has A Magnitude Of 4 With A Direction Of 50. Vector V Has A Magnitude Of 6 Witha Direction Of

Answers

Answer 1

Answer: <8.01, 5.60>.

Step-by-step explanation:

Vector:

[tex]v= (r\cos\theta,r\sin\theta)[/tex]

, where r = magnitude and [tex]\theta[/tex] = angle .

As per given,

[tex]u=(4\cos 50^{\circ}, 4\sin 50^{\circ})\\\\\approx(4(0.64),4(0.77))\\\\=(2.56, 3.08)[/tex]

[tex]v=(6\cos 25^{\circ}, 6\sin 25^{\circ})\\\\\approx(6(0.91),6(0.42))\\\\=(5.46, 2.52)[/tex]

Consider

[tex]u+v=(2.56,3.08)+(5.46,2.52)\\\\=(2.56+5.46,3.08+2.52)\\\\=(8.02,\ 5.60)[/tex]

Hence, the correct option is <8.01, 5.60>.


Related Questions

WHATS THE AREA PLSSSSS

Answers

Answer:

34 in

Step-by-step explanation:

Trapezoid Area Formula: A= 1/2h (base 1 + Base 2)

A= 1/2(4)* (12+5)

A= 2 *(17)

A= 34 in  

I hope this helped :)

2.2 × 1019) + (1.5 × 1016)

Answers

Answer:

Use calculator it's easy ....

Answer :

3765.8

Answer:

[tex](2.2 \times 1019) + (1.5 \times 1016) \\ = 2241.8 + 1524 \\ = 3765.8[/tex]

A car is 160 inches long. A truck is 75% longer than the car.
How long is the truck?

Answers

280 in because 75% of 160 is 120 and 120 + 160 is 280

EASY MATH PLEASE HELP!! : )
I WILL GIVE BRAINLIEST!

QUESTION: find the area of the shaded part.

Answers

120

10 x 8 = 80

8 x 5 = 40

80 + 40 = 120

Answer:

is it 40

Step-by-step explanation:

6×10=60. 4×5=20

60-20=40

i need help ill give brainliest

Answers

Answer:

486

Step-by-step explanation:

multiply the length width and height for the surface area

pls mark me brainliest

what is the value of x?? ​

Answers

Answer:

x + 5 = 5×

7x - 5 = 2x

5x + 2x + x = 180

8× = 180

8 8

x = 22.5

Find the midpoint
(1,-8) (-7,0)

Answers

Answer:

(-3, -4)

Step-by-step explanation:

Handy fact: the average of two numbers is exactly halfway between them.

To find the midpoint, average the x-coordinates; average the y-coordinates.

(1 + -7)/2 = -6/2 = -3

(-8 + 0)/2 = -8/2 = -4

The midpoint is (-3, -4).

Part A The measure of ∠AFC is 120°, and the measure of ∠BFC is 95°. Which equation can you use to find the measure of ∠AFB? 120° + 95° = x 120° – 95° = x 120° + x = 95° x – 120° = 95°

Answers

Answer:

x = 120-95

Step-by-step explanation:

The correct equation for the expression is:

∠AFC = ∠AFB+ ∠BFC

Given that

∠AFC = 120°

∠BFC = 95°

Substitute

120= ∠AFB+95

∠AFB = 120-95

If ∠AFB = x

The required equation will be:

x = 120-95

Arrange the expressions in increasing order of their values.

Answers

Answer:

The 4th one is the least so you would put that as the first one, then the 2nd one, then the 1st one, then the 3rd one.

Step-by-step explanation:

The fourth one is first because 10 to the power of 0 is 0 times 10 to the power of 1 is still 0 minus 1 to the power of 10 is 1 so 0 minus 1 is -1. The second one is second because 10 to the power of 0 times 10 to the power of 1 is 0, times 1 to the power of 10 is still 0. The first one is third in line because 10 to the power of 0 plus 10 to the power of 1 is 10 times 1 to the power of 10 is 10. The third one is last because its the greatist, 10 to the power of 0 plus 10 to the power of 1 is 10 plus 1 to the power of 10 is 11.

PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH

Answers

chart -
x, y
3, 0
4, 1
5, 2
6, 3

The first graph shows the relationship between the equation and chart

Help, please!! I don’t have much time

Answers

Answer:

I might be wrong, but if I did this right it would be D.

Step-by-step explanation:

I'm sincerely sorry if I got this wrong.

Answer:

B. 3.72 x [tex]10^{7}[/tex]

Step-by-step explanation:

The distance between the sun and Mercury is approximately 36,000,000 miles.

Move the decimal point 7 positions to the left so that there is only one digit to the left of it.

Multiply that number by 10 raised to the power of 7

7 is the number of positions that the decimal point was moved.

I do not know this subject too well but hopefully this helps.

A group of twelve friends went bowling. The regular price was $8.00. The bowling alley offered a discount price of $6.00 to college students. Is they paid a total of $80.00, how many paid the regular price and how many got the discount?

Answers

Answer:

x = friends that paid discount price = 8

y = friends that paid regular price = 4

Step-by-step explanation:

Let

x = friends that paid discount price

y = friends that paid regular price

x + y = 12 (1)

6x + 8y = 80 (2)

From (1)

x = 12 - y

Substitute x = 12 - y into (2)

6x + 8y = 80 (2)

6(12 - y) + 8y = 80

72 - 6y + 8y = 80

- 6y + 8y = 80 - 72

2y = 8

y = 8/2

y = 4

Substitute y = 4 into (1)

x + y = 12 (1)

x + 4 = 12

x = 12 - 4

x = 8

x = friends that paid discount price = 8

y = friends that paid regular price = 4

A train travels 164 miles in 4 hours.
How far does it travel per hour?
Rate
Unit Rate

Answers

Answer: 23 12

Step-by-step explanation:

HELP ME PLEASE! ×∆×

Applying the Pythagorean theorem, solve this triangle.​

Answers

Answer:

The length of the hypotenuse is the square root of 169, which in turn is 13.

Step-by-step explanation:

Here we have a right triangle with leg lengths 12 m and 5 m.  Because this is a right triangle, we can apply the Pythagorean Theorem to find the length of the hypotenuse.

The Theorem states that a^2 + b^2 = c^2.  In this particular case,

(12 m)^2 + (5 m)^2 = c^2

which in turn becomes:

144 + 25 = 169.  The length of the hypotenuse is the square root of 169, which in turn is 13.

Ali earns $80 in 10 hours. How long would it take him to earn $200?

Answers

Answer:

25 hours

Step-by-step explanation:

first you ask yourself that :

if it takes just 10 hrs to make $80 , would it take more or less hours to make $200.

The answer is it will take more hours to make $200,

Based on this idea established: we say if it's giving more then less would divide.

so therefore:

we have

[tex] \frac{200}{80} \times 10 [/tex]

finally we have 25 hours.

Thanks

If 2^2008 – 2^2007 - 2^2006 + 2^2005 = k * 2^2005 then the value of k is equal to​

Answers

Step-by-step explanation:

Maths

Bookmark

if 2

2008

−2

2007

−2

2006

+2

2005

=k ⋅2

2005

then the value of k is equal to

Answer

Correct option is

B

3

2

2008

−2

2007

−2

2006

+2

2005

=k⋅2

2005

⇒[2

2008

−2

2006

]−[2

2007

−2

2005

]=k⋅2

2005

⇒2

2006

(2

2

−1)−2

2005

(2

2

−1)=k⋅2

2005

⇒3(2

2006

−2

2005

)=k⋅2

2005

⇒3[2

2005

(2−1)]=k⋅2

2005

⇒3(2

2005

)=k⋅2

2005

On comparing, we get

k=3

Hence, Option B is correct.

Answer:

k = 3

Step-by-step explanation:

[tex]2^{2008}-2^{2007}-2^{2006}+2^{2005}=k \times 2^{2005}[/tex]

[tex]=> (2^{2005} \times 2^3) - (2^{2005} \times 2^2) - (2^{2005} \times 2^1) + 2^{2005} = k \times 2^{2005}[/tex]

Take [tex]2^{2005}[/tex] common from all the terms in L.H.S.

[tex]=> 2^{2005}(2^3 - 2^2 - 2^1 + 1) = k \times 2^{2005}[/tex]

Divide both the sides by [tex]2^{2005}[/tex].

[tex]=> \frac{2^{2005}(2^3 - 2^2 - 2^1 + 1)}{2^{2005}} = \frac{k \times 2^{2005}}{2^{2005}}[/tex]

[tex]=> 2^3 - 2^2 - 2^1 + 1 = k[/tex]

Expand the terms in L.H.S.

[tex]=> 8 - 4 - 2 + 1 = k[/tex]

[tex]=> k = 3[/tex]

What is the greatest common factor that can be factored out of the polynomial 64x5 – 16x3 + 80x

Answers

Answer:

GCF = 16

Step-by-step explanation:

All 3 coefficients are divisible by 16, and 16 is the greatest factor that can divisible.

Answer:

GCF = 16

Step-by-step explanation:

64/16 = 4

16/16 = 1

80/16 = 5

All of the terms in the polynomial are able to be divided by 16 the GCF.

Find the side length x. Round answer to the nearest hundredth.

Answers

8.66

14²-11²= 75
√75= 8.66

An escalator lifts people to the second floor of a​ building, 30 above the first floor. The escalator rises at a 30 angle. To the nearest​ foot, how far does a person travel from the bottom to the top of the​ escalator?

Answers

Answer:

[tex]d=60ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height [tex]h= 30ft[/tex]

Angle [tex]\theta=30 \textdegree[/tex]

Generally the equation for Distance traveled is mathematically given by

Since

Distance traveled forms the hypotenuse of a right angle triangle

Therefore

 [tex]d=\frac{h}{sin30}[/tex]

 [tex]d=\frac{30}{sin30}[/tex]

 [tex]d=60ft[/tex]

Find the next 4 terms using inductive reasoning. 2, -6, 18, -54, 162

Answers

Answer:

-486, 1458, -4374, 13,122

Step-by-step explanation:

each number is multiplied by -3

Help, please!!!


Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down.
The probability of picking a card with an even number is ___
.

Answers

Answer:

the top is right 2/5

Step-by-step explanation:

The probability is 3 / 10.

What is Probability?

The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.

Given:

7, 11, 12, 13, 14, 18, 21, 23, 27, and 29

So,

even numbers are = 12, 14, 18.

The probability of picking a card = 3 / 10

Learn more about probability here:

https://brainly.com/question/11234923

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Missing measure help

Answers

1-35
2-77
3-48
4-77
5-62
6-28

25A) Find the length of a rectangular lot with a perimeter of 132 feet if the
length is three more than twice the width.

Answers

Answer:

34.5 ft

Step-by-step explanation:

~Refer to the attachment for the solution.

PLEASE HELP QUICK.HELP. PLEASE EXPLAIN HOW TO FIND ANSWER ASWELL​

Answers

Answer:

gradient = 1

Step-by-step explanation:

Calculate the gradient m using the gradient formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0 ) and (x₂, y₂ ) = (0, 1) ← 2 points on the line

m = [tex]\frac{1-0}{0-(-1)}[/tex] = [tex]\frac{1}{1}[/tex] = 1

PLEASE HELP!! I WILL MARK BRAINLIEST


What is the equation of this trend line enter your answers by fulling in the boxes K= J+

Answers

Answer:

K = -2J + 24

Step-by-step explanation:

Find two point of the line

(12,0) ; (10,4)

Use this equation:

(y-y1)/(y2-y1) = (x-x1)/(x2-x1)

(y-0)/(4-0) = (x-12)/(10-12)

y/4 = (x-12)/(-2)

y/4 = (-x+12)/2

y = -2x + 24

HELP 100 POINTS PLEASE GET IT RIGHT

Answers

Answer:

1.) [tex]5x^{2} -7x+1[/tex]

2.)[tex]2(x^{2} -3x-3[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) ([tex]2x^{2}[/tex] - 9x + 4) + ([tex]3x^{2}[/tex] + 2x - 3)

= [tex]2x^{2}[/tex] - 9x + 4 + [tex]3x^{2}[/tex] + 2x - 3

= [tex]5x^{2}[/tex] - 7x - 1

2) [tex]x^{2}[/tex] - 4x - 3 + [tex]x^{2}[/tex] -2x - 3

= [tex]2x^{2}[/tex] - 6x - 6

how to find the area of a circle with radius

Answers

Answer:

π (radius) square

where π value is 22/7

help me please i’m stuck

Answers

Answer:

a)

x²+2x

b)

2x²-5x

c)

6x²+8x

d)

6x²-12xy

hopefully i understand it correctly because my engilish is not the best

The dimensions of two square pyramids formed of sand are shown. How much more sand is in the pyramid with the greater volume?

Answers

Answer:

Answer: There is 32in² more sand in the pyramid with greater volume.

step explanation:

There are 27 more cubic inches of sand in the pyramid with the greater volume.

Explanation:
Volume of first pyramid = 1/3 x 11 x 11 x 9 = 363 in3
Volume of second pyramid = 1/3 x 12 x 12 x 7 = 336 in3
Difference = 363 - 336 = 27 in3

Expand to write an equivalent expression. −5(7m−2)

Answers

Answer:

Step-by-step explanation:

-5(7m-2)

-5*7m-(-5)*-2

-35m+10

The expansion of an equivalent expression −5(7m−2) is -35m + 10.

What is a distributive property?

Distributive property says that the sum of two or more addends multiplied by a number, gives the same answer as distributing the multiplier, multiplying each added separately, and adding the products together.

Given expression

−5(7m−2)

For expanding the expression, use distributive property

= -5 × 7m - (-5) × (-2)

= -35m + 5 × 2

= -35m + 10

Hence, The expansion of an equivalent expression −5(7m−2) is -35m + 10.

Learn more about distributive property here

https://brainly.com/question/23137494

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