Mathematics High School

Determine the projection of u=1.6i+3.3j in the v=-2.1-.5j direction.

A.8i+.2j

B.2.3i+.5j

C. -.6i-1.3j

D. -1.2i-1.1j

Answers

Answer 1

Answer:

[tex]0.80i +0.2j[/tex]

Step-by-step explanation:

The projection of u on v is expressed as;

[tex]proj_{v} u = \dfrac{u*v}{|v|^2} * v[/tex]

Given

u=1.6i+3.3j

v=-2.1i-.5j

u*v = (1.6i+3.3j )*(-2.1i-0.5j )

u*v = 1.6i(-2.1i) + 3.3j(-0.5j)

u*v = -3.36 - 1.65

u*v = -5.01

|v|² = (√(-2.1)²+(-0.5)²)²

|v|² = (-2.1)²+(-0.5)²

|v|² = 4.41+0.25

|v|² = 4.66

Substitute into the formula;

[tex]= \frac{1.71}{-5.01} * (-2.1i - 0.5j)\\= -0.3413 (-2.1i - 0.5j)\\= 0.8i + 0.17j\\= 0.80i +0.2j[/tex]

Related Questions

A rectangle has a length of 2x + 1 and a width
of 5x - 4. Which expression best describes the
area of the rectangle?
F 7x - 3
H 10x2 – 3x - 4
J 10x2 + 13x - 4
G 14x - 6

Answers

Answer:

H

Step-by-step explanation:

The rectangle has a length of (2x + 1) and a width of (5x - 4).

And we want to select the expression that represents the rectangle's area.

Recall that a rectangle's area is simply its length multiplied by its width. Thus:

[tex]A=(2x+1)(5x-4)[/tex]

Expand by distributing:

[tex]A=(2x+1)(5x)+(2x+1)(-4)[/tex]

Distribute:

[tex]A=(10x^2+5x)+(-8x-4)[/tex]

Simplify:

[tex]A=10x^2-3x-4[/tex]

Hence, our answer is H.

Quadratic Functions
Determine the value of y, if x is −9. y=x^2+8

Answers

Answer:nn

Step-by-step explanationn    o:

Answer:

y = 89

Step-by-step explanation:

x = -9

y = x^2 + 8

y = (-9)^2 + 8

y = 81 + 8

y = 89

plssssss helpppp !!
tysmmmm

Answers

I think that the answer would be two triangles.

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Option A

Step-by-step explanation:

You're welcome.

!
A store is selling electronics
and mark up all the prices by
30%. If the store's cost for a
printer is $25, what is the
customer's cost?
בדד
תחזרי

Answers

Answer:

im guessing 32.5$ but i honestly dont know lol

Step-by-step explanation:

67 is 42% of what number?

Answers

Answer:

28.14

Step-by-step explanation:

28.14 just took the test

SOCCER PRACTICE BEGAN AT 2:30 P.M 3:30 P.M THROUGH WHAT FRACTION OF A CIRCLE DID THE MINUTE HAND TURN HOW MANY DEGREES DID THE MINUTE HAND TURN

Answers

Answer:

1 /1 ; 360°

Step-by-step explanation:

Start time = 2:30 pm

Stop time = 3:30 pm

Minute hand makes a complete revolution per hour ;

This means that the minutes hand revolves round the whole circle in one hour, hence fraction of the circle covered by the minute hand between 2:30 pm - 3:30 pm is 1/1 = 1

The angle turned by the minutes hand :

1 complete revolution = 360°

A circle covers 360°

1 /1 fraction of a circle = 1/1 * 360° = 360°

Hence, angle turned by the minute hand = 360°

How many solutions does 4(−5x+8)= 4(−5x+8) have?

Answers

Answer:

infinity

Step-by-step explanation:

Use the distributive property to simplify the following expression: 3 (2 + 5z.)​

Answers

3(2+5z)
3 x 2 = 6 and 3 x 5z = 15z
6+15z

Answer:

6+15z

Step-by-step explanation:

We multiply 3 to 2+5z. So, (3x2)+(3x5z)

In circle a the length of the radius is 24 units what is the length of the arc BC?

Answers

Answer:

20pi

Step-by-step explanation:

150/360 = 5/12

5/12 * 2*24*pi = 20pi

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

Please give brainliest, I really want to rank up, thank you!

5potatos + 56 potatos

Answers

Answer:

61

Step-by-step explanation:

I need help on this question and answering it

Answers

Answer:

75 feet

Step-by-step explanation:

the shadow to the object would be a 4:5 ratio

since the shadow of the flagpole is 60 ft,

4x=60 so x would =15

then you multiply 15 by 5 and end up with 75

Answer: 75 feet

Step-by-step explanation: trust me

which expression is a fourth root of -1 + i√3?

Answers

Answer:

−1+1.732051i

Step-by-step explanation:

Triangle Sums***GRADED 1 of 51 of 5 Items #1 Triangle RST is shown. What is the measure of ∠T? Record your answer and fill in the bubbles on the grid. Be sure to use correct place value.

Answers

Answer:

[tex]\angle T = 70[/tex]

Step-by-step explanation:

Given

[tex]\angle T= 2x[/tex]

[tex]\angle S= 75[/tex]

[tex]\angle R= x[/tex]

See attachment for triangle

Required

Calculate [tex]\angle T[/tex]

First, we add up the angles in the triangle;

[tex]\angle R + \angle S + \angle T = 180[/tex]

[tex]x + 75 + 2x = 180[/tex]

Collect like terms

[tex]x + 2x = 180 - 75[/tex]

[tex]3x = 105[/tex]

Solve for x

[tex]x = \frac{105}{3}[/tex]

[tex]x = 35[/tex]

Given that:

[tex]\angle T= 2x[/tex]

[tex]\angle T = 2 * 35[/tex]

[tex]\angle T = 70[/tex]

Is it 10? Or no pls explain

Answers

Answer:

Yes

Step-by-step explanation:

6 + 10 would equal 16

You're right, have a great day!

Answer:

yes, it is 10

Step-by-step explanation:

Subtract 16 and 6 and you get 10.

Or Subtract 6 and 6 and subtract 16 and 6.

It'll still be 10 no matter what.

Evaluate 3f(2) what is it

Answers

Answer:

the eanswer should be 12

Step-by-step explanation:

i took the test

HELLP ASAP PLEASE!!!

Answers

Answer: 18) (9x)° + 45° = 180°-45°= 135° then we isolate the variable and the answer is 9x/9 which is equal to x = 15°.

Step-by-step explanation: 18) supplementary angles add up to 180 degrees. So a supplementary angle lies on a single, straight line

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Answers

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A car dealership has 180 cars on their lot. If they increase their inventory by 25%, how many cars will be on the lot?

Answers

Answer:

There will be 225 cars on the lot.

A car dealership has 180 cars on their lot. If they increase their inventory be 25%, how many cars will be on the lot?

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Answer:

There will be 225 cars on the lot.

if h(x) = 3(x + 6), find h(-1).
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Answers

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i need help with algebra 2 stuff. if anyone wanna help me out greatly appreciate it :)

Answers

Answer:

Step-by-step explanation:

I will try my best to help you with algebra what is the question

Which of the following points is not an ordered pair for the function

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Answers

Answer:

(2, 7) is not an ordered pair for the function.

Step-by-step explanation:

Jay's hair grows about 8 inches each year. Write a function that describes the length l in inches that Jay's hair will grow for each year k. Which kind of model best describes the function?

Answers

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Step-by-step explanation:

Answer:

y=8k

Step-by-step explanation:

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Answers

Answer:

x = 2

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + x² = (2[tex]\sqrt{2}[/tex] )² , that is

2x² = 8 ( divide both sides by 2 )

x² = 4 ( take the square root of both sides )

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

if im corect the anwser is 3.14 (Side note) this is the wrong question i was anwsering to


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Answers

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