Find the angle between the given vectors to the nearest tenth of a degree.


u = 6, -1, v = 7, -4

20.3°
10.2°
0.2°
30.3°

Answers

Answer 1

Answer:

20.3

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

u=6i-j

v=7i-4j

u.v=|6i-j||7i-4j| cos α,where α is the angle between u & v.

(6i-j).(7i-4j)=√(6²+(-1)²)√(7²+(-4)²) cos α

(6)(7)+(-1)(-4)=√37√65 cos α

42+4=√37√65  cos α

[tex]\cos \alpha =\frac{46}{\sqrt{37} \sqrt{65} } \\\alpha =\cos^{-1}\frac{46}{\sqrt{37} \sqrt{65} } \approx 20.28^\circ \approx 20.3^\circ[/tex]


Related Questions

The water park is a popular field trip destination. This year the senior class at High School A and
the senior class at High School B both planned trips there. The senior class at High School A
rented and filled 8 vans and 3 buses with 188 students. High School B rented and filled 10 vans
and 7 buses with 378 students. Every van had the same number of students in it as did the buses.
Find the number of students in each van and in each bus.

Answers

to be honest I have no idea

Answer:

7 students per Van

44 Students per Bus

Step-by-step explanation:

8v+3b=188

10v+7b=378

Solve these simultaneously

let x represent one number and let y represent the other number. use the given conditions to write a system of equations. solve the system and find the numbers. three times a first number decreased by a second number is 22. the first number increased by twice the second number is 12.

Answers

9514 1404 393

Answer:

  (x, y) = (8, 2)

Step-by-step explanation:

The relevant equations are ...

  3x -y = 22

  x +2y = 12

__

We can eliminate y by adding twice the first equation to the second.

  2(3x -y) +(x +2y) = 2(22) +(12)

  7x = 56

  x = 8

Substituting into the first equation gives ...

  3(8) -y = 22

  y = 24 -22 = 2

The first number is 8; the second number is 2.

On a map, the scale is 1 inch to 400 miles. If the
trip from Corpus Christi to El Paso is 600 miles,
how far apart will those cities appear on the map
(in inches)?

Answers

1 and 1/2 inches apart. Since 1 inch is 400 miles half of an inch would be 200 miles!

Answer:

B. 1.5 inches

Step-by-step explanation:

600/400=3/2=1.5

$70.00 at 5% for 2 years

Answers

Answer:

$7

Step-by-step explanation:

Hey there

to solve this kind of problem we use the formula:

[tex]\frac{p * t * r}{100}[/tex] if we solve it :

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 70 × 0.05 × 2 = 7

I = $ 7.00

The simple interest accumulated

on a principal of $ 70.00

at a rate of 5% per year

for 2 years is $ 7.00.

HELP ASAP!! I need help thanks!!

Answers

Answer:

vertices

Step-by-step explanation:

I looked at stuff at it says vertices

Answer:

I think option 3rd is correct the vertices.

Step-by-step explanation:

B is joining the D and C together.  

Find the sum
(3/8-1/6m+5t) + (7/10m+9t+1/4)

Answers

Firstly, put the same families in the same category so 3/8+1/4=5/8(find the common denominators for the fractions) then you would put 1/6m-7/10m=8/15m 5t+9t=14t and the answers will be 5/8+8/15m+14t
I hope this helps if it is right!

Answer:

5/8 +8/15m+ 14t

Step-by-step explanation:

Combine your like terms, and you will get this.

I just need a little help ​

Answers

The answer is B your welcome

5t + 17 = 4( t +3 )
1/2x + 1/3x =10
1/4x + 2/5x = 39
please can someone help me with these problems i will give brainliest for the person who gives me the answers and work to go with it

Answers

Answer:

1. T = -5 2. X = 12 3. X = 60

Step-by-step explanation:

5t + 17 = 4(t + 3)

1. Distribute 4

5t + 17 = 4t + 12

2. Isolate the variable

t + 17 = 12

t = -5

1/2x + 1/3x = 10

1. Remove fractions by multiplying the equation by 6

3x + 2x = 60

2. Combine like terms

5x = 60

3. Divide by coefficient

x = 12

1/4x + 2/5x = 39

1. Remove fractions by multiplying by 20

5x + 8x = 780

2. Combine like terms

13x = 780

3. Divide by coefficient

x = 60

Pls HELP I BEG YOUUUU

Answers

Answer:

x = 60

Step-by-step explanation:

(x+22) + (x+6) + (x-28) = 180

x + 22 + x + 6 + x - 28 = 180

x + x + x + 22 + 6 - 28 = 180

3x = 180

x = 180/3

x = 60

Solve the equation
v-5/6=-7/8

Answers

first make denominators the same: v-20/24=-21/24
add 20/24 to both sides: v=-1/24
answer: v=-1/24

Alex bought a football jersey that cost $95 and a football for $25. The local sales
tax is 8%. What was the total cost including tax?

Answers

Answer:

129.6$

Step-by-step explanation:

25+95=120

8% of 120 = 9.6

120+9.6= 129.6

Answer:

129.60

total w/o tax- 120

tax- 9.60.

I don't know the answer​

Answers

Answer:

D

Step-by-step explanation:

Answer:

option d. 5cm,5cm,5cm

.........

What is the height of a triangle, if the area is 20 square inches and the base is 5 inches? Be sure that you can explain how you found your answer.

Answers

so normally we would be finding the area of a triangle which is a=h*b/2

but in this case we are finding the height so theirs 3 ways to do this but i prefer the basic way

20=1/2(5)h

20=2.5

8=h

and to find out if that was correct lets do  8*5=40      40/ 2 =20  so this is correct

the height is 8

Answer:8

Step-by-step explanation:

Please help im struggling with this unit pls help

Answers

Answer:

C) (1, -3/2)

Step-by-step explanation:

the midpoint formula is the sum of the x-values divided by 2 followed by the sum of the y-values divided by 2

points: (1, 2) (1, -5)

[(1+1)/2, (2 + -5)/2]

(2/2, -3/2) or (1, -3/2)

A hotel has two different ice machines that fill buckets of ice independently of each other. Let A represent the amount of ice in a bucket filled by machine A, and let B represent the amount of ice in a bucket filled by machine B. Which of the following choices explains the meaning of independent random variables in context?

Answers

C.) The independence of the two ice machines means that knowing how much one machine fills does not help us predict how much the other fills.

five sixths yards = inches

Answers

Answer:

Five sixths of a yard is 30 inches

Step-by-step explanation:

What percent is 45 of 72?

Answers

Answer:

32.4

32.4 is 45% of 72

Step-by-step explanation:

Solution:

What is 45% of 72?

Y is 45% of 72

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 45% * 72

Converting percent to decimal:

p = 45%/100 = 0.45

Y = 0.45 * 72

Y = 32.4

A collector has 2792 coins
altogether. Half of the coins
are on display. The collector
buys more coins at an auction
so that the coins on display
are now 40% of the collection.
How many coins are bought at
the auction?

Answers

Answer:

3490 coins

Step-by-step explanation:

Given data

Total coins= 2792 coins

Half of the coins are on display

that is 50% are on display

=2792/2

=1396

let the coins bought be x

40% of x= 1396

40/100*x= 1396

0.4x= 1396

x=  1396/0.4

x=3490

Hence 3490 coins were bought

help me out
14 < n - 22​

Answers

Answer:

14+22=36

36 is less than n

Step-by-step explanation:

The answer is you n = 8

Marcus construye 2,744 cometas para un festival de cometas de verano de 14 dias.planea regalar aproximadamente el mismo numero de cometas cada dia.regala 492 cometas los primelos dos dias¿siguio marcus su plan? Usa la estimacion para explicarlo.

Answers

Marcus no siguió sus planes.

Tendría que haber regalado 196 cada día.

2,744 dividido entre 14 es 196.

The table shows the scores for three students on a math test. Who earned the highest grade?

Answers

Answer:

ben earned the highest grade

Step-by-step explanation:

ben had the highest, sarah had the lowest

student             score

jim                     85%

sarah                 84%

ben                    86%

Answer:

Ben got the highest

Step-by-step explanation:

Sarah=84%

Jim=85%

Ben=86%

How do I solve this......?

Answers

Answer:

1.0.87

2.87/100

3.25%

4.0.25

5.35%

6.7/20

Step-by-step explanation:

Can you help me with my math?

Answers

Answer:

y = -3x - 1

Step-by-step explanation:

First find the slope then the Y-intercept

ackson is given the expression below to simplify. Which expression is equivalent to Jackson’s expression?9x−4+4x+5x+19

Answers

Ahttps://edpuzzle.com/assignments/600b1eec3f257f4235835f31/watchvhttps://edpuzzle.com/assignments/600b1eec3f257f42358idskdkeidjiwfjefwbfdbfkiwdhf

by-step explanation:

Answer:

3(6x+5)

Step-by-step explanation:

So first I opened my device

Then, I went to brainly

Next, I asked the question

Finally, i came back here to put the answer i found

                          *Perfect explanation*


5th grade math. Correct answer will be marked brainliest.

Answers

Answer:

part a is 3500

Step-by-step explanation:

10h + 3y + 6 -4h -y -2 simplified

Answers

Answer:

6 h + 2 y + 4 is your answer

Step-by-step explanation:

Hope this helps! :)

Answer:

6h+2y+4

Step-by-step explanation:

so all you do is just subtract common factors so for 10h you just do 10h -4h and get 6h and do that for the rest

Work out 27 ÷ 9 + 9
Work out 4 + 5 x 3
Work out -9 + -4
) Work out 9 - -5

Answers

Answer:

1. 27/9=3+9=12

2. 4+5x3=5x3=15+4=19

3. -9+-4=-13

4. 9--5=14

Diane sells candles online and ships them to her customers. Each candle weighs 1.5 pounds. When a customer orders more than one candle, Diane ships all of the customer's candles in one box. She weighs the box to determine shipping cost. This table shows the weight per shipment. Choose ALL amounts that could be added to this table. A) 4.5 B) 5 C) 6 D) 6.5 E) 7​

Answers

Answer:4.5 and 6 should be on there

Step-by-step explanation: multiply 1.5 by the number of candles to get the answer

The perimeter of a rectangular field is 580 yards. The length is 30 yards more than the width. Find the length and width of the field (in yards).

Answers

2 L + 2 W = 580

W = L - 30

2( L - 30) + 2 L =580

2L - 60 + 2 L =580

4 L = 640

L = 160

W = 160-30= 130

160 × 2 + 130 × 2 = 580

Yesterday Ali caught 12 bugs. Today he caught 17 bugs. How many fewer bugs did Ali catch yesterday than today?

Answers

The answer to your question is 5

Answer:

5 bugs

Step-by-step explanation:

You would use subtraction to find the difference: 17 - 12 = 5

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