Consider vectors u = ⟨2, 1⟩ and v = ⟨4, –1⟩ with the angle between them equal to 40°. What are the scalar projections uv and vu?

a) uv = 1.33 and vu = 1.33
b) uv = 1.33 and vu = 3.16
c) uv = 1.71 and vu = 1.33
d) uv = 1.71 and vu = 3.16

Answers

Answer 1

Answer:

D. uv = 1.71 and vu = 3.16

Step-by-step explanation:

Consider Vectors U = 2, 1 And V = 4, 1 With The Angle Between Them Equal To 40. What Are The Scalar Projections
Answer 2

The scalar projections are uv = 1.71 and vu = 3.16

The correct option is (D)

What is meant by scalar projection?

The definition of scalar projection is the length of the vector projection.

Given: u = ⟨2, 1⟩,  = ⟨4, –1⟩, and θ = 40°

Proj u_v = |u| cosθ

= 2.25 * cos 40

= 2.25 * 0.7660

=1.72

and, Proj v_u = |v| cosθ

= 4.123 * cos 40

= 4.123 * 0.7660

= 3.16

Learn more about this concept here:

https://brainly.com/question/19938443

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Related Questions

Please i will give brainlist

What is he equation of the line passing through the points ( 2/5,19/20 ) and (1/3,11/12) in slope-intercept form?

Answers

Answer:

the second answer

y=1/2x+3/4

Francis records the price of a washer-and-dryer pair each week for 5 weeks. The table shows his data.
1
3
4
5
Week
Price $740.79 752 49 $675.49 $580.99 $694.99
What is the rate of change in the price of the washer-and-dryer pair between Week 1 and Week 57
$11.45
week
59. 16/week
0 59. 16/week
$11.45
week

Answers

Answer:

The answer is A. -11.45

Step-by-step explanation:

      By using expression for the rate of change in prices between week 1 and week 5 will be -$11.45.

    Rate of change is given by the expression,

Rate of change = [tex]\frac{\triangle y}{\triangle x}[/tex]

                          = [tex]\frac{\text{Change in price}}{\text{Change in weeks}}[/tex]

By using the given expression, rate of change of prices between week 1 and week 5 will be,

Rate of change = [tex]\frac{694.99-740.79}{5-1}[/tex]

                          = [tex]-\frac{45.8}{4}[/tex]

                          = [tex]-11.45[/tex]

   Therefore, rate of change in the price of washer and dryer pair between week 1 and week 5 will be -$11.45 per week.

Learn more,

https://brainly.com/question/20434275

find the value of x.

Answers

Answer:

x=4

Step-by-step explanation:

2/x:6/12

6x=24

x=4

30 inches in centimetres

Answers

Answer:

76.2 cm

Step-by-step explanation:

If you convert, said inches, it wouldn't be an exact number, but it would equal 76.2.

*please be serious *
*Solve for y*

Answers

Answer:

y = + 4

Step-by-step explanation:

I used an online algebra calculator to check my answer, so you can trust that this is correct.

Answer:

y=x+4

Step-by-step explanation:

2y=2x+8

Divide everything by 2y

y=x+4

The price of an item has been reduced by 10%. The original price was $46. Find the price of the item now.

Answers

41.4

Step-by-step explanation:

Hope this helps ∞<3

let me know if its right or wrong

please help!! question in picture

Answers

The answer it 1009999009

Solve the system of linear equations by graphing
y=1/3x+5
y=2/3x+5
What is the solution

Answers

Answer:

We have the system of equations:

y=1/3x+5

y=2/3x+5

To solve it graphically, we need to graph both lines and see in which point the lines intersect.

You can see the graph below, and you can see that the lines intersect in the point (0, 5)

Now, we can also solve this analytically.

We can use the fact that for the solution, we need y = y.

Then we can write:

(1/3)*x + 5 = (2/3)*x + 5

First, we can subtract 5 in both equations to get:

(1/3)*x = (2/3)*x

This only has a solution when x = 0.

Replacing x = 0 in one of the equations, we get:

y = (1/3)*0 + 5 = 5

Then the solution is x = 0, and y = 5, as we already could see in the graph.

Evaluate the expression for x = 2 and y = 4. Enter your answer in the box.

16x0 + 2x2 • y –1

Answers

Answer:

31

Step-by-step explanation:

PEMDAS

16(2) * 0.

32 * 0

=0

2(2) * 2

=8

8 * 4 - 1

32 - 1 = 31

Answer:

Its 6. Trust me.

Step-by-step explanation:

Which is the solution to the equation 8.25 + one-fourth w = 10.75? Round to the nearest hundredth if necessary.

Answers

Answer:

w=10

Step-by-step explanation:

8.25+1/4w=10.75

8.25+0.25w=10.75

0.25w=10.75-8.25

0.25w=2.5

w=10

I hope this helps

Answer:

C/10

Step-by-step explanation:

4 -2x plus 5 when x =4

Answers

Answer:

1

Step-by-step explanation:

f(4)=4-2x+5

4-2(4)+5

4-8+5

1

Answer:

x=1

Step-by-step explanation:

4-2x+5

x=4 so substitute the x with 4.

4-2(x)+5

=1

What is the value of (7 +21)(3 - i)?

Answers

(7+21)=28

28(3-I)=

28•3 =84

28•I=28i

28/84=3,5

3,5=I

what is -9/4 divided by -4/9

Answers

Answer:

Step-by-step explanation:

-9/4 ÷ -4/9= -9/4 x - 9/4=-81/16= 5    1/16

Hope this helps !

The graph of a proportional relationship is shown. What is the
amount of savings per
week?
Money
470
376
A) $94/week
B) $47/week
C) $18.80/week
D) $23.50/week

Answers

Answer:  B) $47/week

===========================================================

Explanation:

Because the graph goes through the origin, we can simply divide the y value over the x value. Do so for any point on the diagonal line.

For example, picking (x,y) = (2, 94) leads to k = y/x = 94/2 = 47 being the constant of proportionality and also the amount of savings per week.

You can think of it like this:

2 weeks = $94 in savings

2/2 weeks = $94/2 in savings ... divide both sides by 2

1 week = $47 in savings

leading to the savings rate of $47 per week

----------

Side note: This linear equation is y = 47x. It is in the form y = kx with k = 47. It is a direct proportion equation. The constant of proportionality is also the slope. All direct proportion equations are linear and go through the origin.

Aakash can complete a work in 10 days. If he worked for 4 days and
the remaining work is done by Safal, how much work is done by Safal?​

Answers

Step-by-step explanation:

Hey there!

According to the question;

Aakash can complete a work in 10 days.

That means;

In 10 days Aakash can complete 1 work.

In 1 day Aakash can complete (1/10) work.

In 4 days Aakash can complete (1/10)*4 part of work.

Therefore, in 4 days he can complete 2/5 part of work.

After 4 days Safal had to work.

So, work left was 1 - (2/5) {work left = whole work - done work}.

[tex]1 - \frac{2}{5} [/tex]

[tex] = \frac{3}{5} [/tex]

Therefore, the work Safal had to do was 3/5 part of work.

Hope it helps....

3. Simplify 315-217+45 - 28 . (1 point)
2/12
O 212
O 615-417
6/10 -4114

Answers

The answer might be (45/29).

helppppppansjfnnsnwkgn

Answers

Answer:

the third one P N M

Step-by-step explanation:

Answer:

NPM

Step-by-step explanation:

i got you fammmmmmmmm

PLEASE HELP!!!!!!!!

What is the value of x

3x+14+5x-2=10x-18

Thank you sooooo much have a blessed day

Answers

X = 15
have a wonderful day =)

Show all work to factor x4 – 17x2 + 16 completely.

Answers

Answer:

(x - 4)(x + 4)(x - 1)(x + 1)

Step-by-step explanation:

Given

[tex]x^{4}[/tex] - 17x² + 16

Use the substitution u = x², then

u² - 17u + 16

Consider the factors of the constant term (+ 16) which sum to give the coefficient of the u- term (- 17)

The factors are - 16 and - 1, then

u² - 17u + 16

= (u - 16)(u - 1) ← replace u by x²

= (x² - 16)(x² - 1) ← both factors are difference of squares

= (x - 4)(x + 4)(x - 1)(x + 1)

Answer: -18

Step-by-step explanation: x4-17x2+16= -18

i am not completely sure but here. i hope this helps god bless

Write 1.33 x 10^6 in standard notation

Answers

Answer:

14.098

Step-by-step explanation:

Convert 384,000 to round to the nearest tenth?

Answers

Answer:

124.6

Step-by-step explanation:

PLEASE HURRY!!!
What is the output of y=6x−11 when the input is 5?

Answers

Answer:

The y-intercept occurs when x = 0, so you can see it is the point: (0, 11).Step-by-step explanation:

ok,,,, I have to admit to not listening in class. What does sin, cos, and tan meannn

Answers

Sin is equal to the side opposite the angle that you are conducting the functions on over the hypotenuse which is the longest side in the triangle. Cos is adjacent over hypotenuse. And tan is opposite over adjacent, which means tan is sin/cos. this can be proved with some basic algebra or somethin

The record low temperature in Hawaii is -0.15 times the record low temperature in Alaska. The record low temperature in Hawaii is 12°F. What is the record low temperature in Alaska?

Answers

Answer:the record low temperature in Alaska = -80°F

Step-by-step explanation:

Step 1

Let the temperature in Alaska be = x

such that  the temperature in Hawaii be -0.15 times temperature in Alaska = -0.15 x.

Step 2

IF the   record low temperature in Hawaii is 12°F.

Alaska = ??

We know that

Hawaii= -0.15 x temperature Alaska ( 0.15 x)

12°F=-0.15 x temperature Alaska(x)

Temperature of Alaska, x =  12°F/-0.15

= -80°F

Write the slope-intercept equation for the graph.

Answers

Answer:

2/1

Step-by-step explanation:

It should be y=2x-1


State if each triangle is a right triangle: *

13 in
2 in
12 in

Answers

Answer:

It would be a obtuse triangle instead

Step-by-step explanation:

By using pythagorean and theorem (a^2 + b^2 = c^2)

So it would be 13^2___2^2 + 12^2

When you square them, you get 169___4 + 144

144 + 4 = 148, which is less than 169

SO it would be 169>148

So no, not a right triangle

I’ll give the Brainliest to who answers the question with and reasonable explanation.


When is the constant of proportionality the same as the unit rate when comparing two quantities?

A. Only when the two quantities are indirectly proportional

B. Only when the two quantities are directly proportional

C. Always

D. Never


Thank you!

Answers

Answer:

it's A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Just got it correct

I need Help please #24

Answers

13 games..........,............

Answer:

13

Step-by-step explanation:

13 because 13 times 14 is 182

What is the slope of the line?

Answers

Answer:

6/3=2

Step-by-step explanation:

anyone question 8 pleaseeeeeeeeeee

Answers

Answer:

$200 and $450

Step-by-step explanation:

We can start by assigning variables to our unknowns.

Our unknowns are the price for a DVD player and the price for a television.

x= price of a television

y= price of a DVD player

Next, let's translate the given information into a system of equations.

two televisions and three DVD players for $1750

2x+3y=1750

four televisions and one DVD player for $1250

4x+y=1250

Since the instructions did not specify, I will use substitution to solve, however you can also use elimination.

First, from the second equation, we subtract 4x from both sides.

4x+y-4x=1250-4x

y=1250-4x

Now we plug 1250-4x for y in the first equation.

2x+3y=1750

2x+3(1250-4x)=1750

Distribute.

2x+3*1250-3*4x=1750

Simplify.

2x+3750-12x=1750

Combine like terms.

-10x+3750=1750

Subtract 3750 from both sides

-10x+3750-3750=1750-3750

-10x=-2000

Divide both sides by -10

x=200

A television costs $200.

Now using that, we can plug that into one of the original equations. I'll use the second one.

4x+y=1250

4(200)+y=1250

800+y=1250

Subtract 800 from both sides.

y=450

A DVD player costs $450

You can plug those values back into the other equation (the first one) to double-check if you'd like as well.

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