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

Given that, 1 Chinese yuan = £0.11, convert £460 into Chinese yuan. Give your answer to the nearest yuan.

will mark you as brainiest

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Answer:

i so want to know this aswell

Step-by-step explanation:

Answer:

4182

Step-by-step explanation:

I gotten this question so I decided to find the answer but I still got it wrong and it said the answer was 4182

How do you use Trigonometric Ratios to solve Real-world problems?

Answers

Answer:

Trigonometry can be used to measure the height of a building or mountains: if you know the distance from where you observe the building and the angle of elevation you can easily find the height of the building.

value of b in the quadratic equation 3x/4=1/x

Answers

Is 0 one of your answer options? If so the answer is 0.

A computer is on sale for 25% off. If the sale price is $449, what was the original price?

Answers

Answer:

discount=25%

selling price=$449

original price=?

Step-by-step explanation:

we have

original price=selling price + discount% of original price

original price-discount% of original price=$449

original price (1-25/100)=$449

original price=$449/0.75=$598.66

Sarah made 5 gallons of punch for her family reunions if each serving is 1/16 gallon how many servings is this?
A. 75
B. 50
C. 80
D. 3 1/5​

Answers

Answer:

С) 80

вот правильный ответ

what is 3x4x19x39x4x9x11x10x20squared-10473408000 tee-hee

Answers

Answer:

A seizure and a half

Step-by-step explanation:

Answer:

495962981439552000

Jeremy's pizza was cut into 6 equal slices and he ate 4 pieces. Zachary's pizza was cut into 12 equal slices. How many pieces does Zachary need to eat so that he and Jeremy have eaten an equal amount? prove it with a picture​

Answers

Answer:

8 pieces

Step-by-step explanation:

4/6 x 2 = 8/12

If Zachary wanted to eat the same amount. He would eat 8 pieces.

Zachary will have to eat 8 peices of pizza

Step-by-step explanation:

If you take Jeremys pizza and separate the 4 pieces he were to eat and the two he didn't and cut all of them in half then you would see there are 12 peices in all and that would make the 4 he were to eat 8 slices instead of just 4

ZA and ZB are vertical angles. If mZA= (5x – 4) and mZB = (2x – 1)º, then find the value of x. INI​

Answers

Answer:

x = 1

Step-by-step explanation:

It is given that,

∠A and ∠B are vertical angles.

∠A = (5x – 4) and ∠B = (2x – 1)

We need to find the value of x.

We know that, the vertical angles are equal. So,

∠A=∠B

(5x – 4)=(2x – 1)

Taking like terms together,

5x-2x = 4-1

3x=3

x = 1

So, the value of x is equal to 1.

Factor completely and then place the factors in the proper location on the grid.

36 x2 + 60 x + 25

Answers

Answer:

[tex](6x+5)^{2}[/tex]

Step-by-step explanation:

[tex]36x^{2}+60x+25[/tex]

Just looking at the equation, one can see that the first element ([tex]36x^{2}[/tex]) and the last element ([tex]25[/tex]) are both perfect squares. One can see that when one multiplies the number and then doubles the result, the resulting values will be the value in the middle. Therefore, it is clear that is the answer is;

[tex](6x+5)^2[/tex]

Question
Solve 9 < 3x + 6< = 15 and write the solution in interval notation. If there is no solution, type Ø.

Answers

Given:

The compound inequality is

[tex]9<3x+6\leq 15[/tex]

To find:

The solution for the given compound inequality in interval notation.

Solution:

We have,

[tex]9<3x+6\leq 15[/tex]

Subtracting 6 from each side, we get

[tex]9-6<3x+6-6\leq 15-6[/tex]

[tex]3<3x\leq 9[/tex]

Divide each side by 3.

[tex]\dfrac{3}{3}<\dfrac{3x}{3}\leq \dfrac{9}{3}[/tex]

[tex]1<x\leq 3[/tex]

Here, 1 is not included in the solution set and 3 is included in the solution set.

Therefore, the solution in interval notation is (1,3].

What dose that sing mean before the square root mean and also what is the answer

Answers

The thing before the square root means that the answer can be positive and negative.

line a y=1/2x+2
line b y= -1/2 x +7
line c y=2x +4
line d y= 1/2x +5/4

which lines are perpendicular​

Answers

Answer:

Line b and line c are perpendicular.

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, and -1/2 and 2 are opposite reciprocals.

Need help !!! Please and thank you

Answers

it’s not a function. the second option should be the right answer.

What integer does the arrow indicate?
+
-8
+ +
-6 -5
+
3
+
4
+
7
- 10 -9
-7
-4
-3
-2
-1
0
1
2
5
6
8
9
10
0-14
0-3
06

Answers

Answer:

-9

Step-by-step explanation:

Given

See attachment for number line

Required

What does the arrow integer

Represent the value of the arrow with x.

The arrow is on number -9.

This number is what the arrow represents.

Hence:

[tex]x = -9[/tex]

On a platter of chicken wings they are mild wings and hot wings in a representative sample of 10 chicken wings there are 5 mild wings if the platter has 90 chicken wings estimate the number of mild wings on the platter

Answers

Answer:

30 mild wings

Step-by-step explanation:

A coordinate plane.Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller number is 50.Let x be the smaller number and y be the larger number.Create a system and graph it to find the solution.What are the two numbers?x =and y =

Answers

Answer:

6 and 20

Step-by-step explanation:

Solve the given equation for x.
6 + x = C​

Answers

Answer:

x=c-6

Step-by-step explanation:

6+x=c

-6    -6

x=c-6

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PLS SHOW THE WORK!!!!!!!!

Answers

Answer:

x=-4/11; y=-19/11

Step-by-step explanation:

Answer:

x = 4/11 ; y = 19/ 11

sorry i cant give you the explanation

i hope this will help u

pls add me as bainliest

Step-by-step explanation:

Suppose that a football coach gets a salary of one million dollars now, and a raise of 10% every year (so exponential growth model). Let s be the salary in millions of dollars, and t is time in years. (a) Write an initial value problem to represent the salary s. Label 0.2.14 (modified) (b) What is s(0) and s(1)

Answers

Answer:

a)

initial value problem representing the salary is; S(t) = 1.[tex]e^{0.10t}[/tex]  

b)

S(0) = 1

Therefore; S(0)  is 1 million dollar

S(1) = 1.105170918075647

Therefore; S(1)  is 1.105170918075647 million dollar

Step-by-step explanation:

Given that;

Initial salary of football coach = 1 million dollar

raise of 10% every year (so exponential growth model) r = 10% = 0.10

a) initial value problem to represent the salary

lets S represent salary in millions dollars and t represent time in years.

S(t) = S₀[tex]e^{rt}[/tex]

so,

at S₀ = 1 million dollars } { r = 0.10 }

S(t) = 1.[tex]e^{0.10t}[/tex]  

Therefore, initial value problem representing the salary is; S(t) = 1.[tex]e^{0.10t}[/tex]  

b) What is s(0) and s(1)

at s(0)

S(t) = 1.[tex]e^{0.10t}[/tex]  

we substitute

S(0) = 1.[tex]e^{0.10*0}[/tex]

S(0) = 1.[tex]e^{0}[/tex]

S(0) = 1

Therefore; S(0)  is 1 million dollar

at s(1)

S(t) = 1.[tex]e^{0.10t}[/tex]  

we substitute

S(1) = 1.[tex]e^{0.10*1}[/tex]

S(1) = 1.[tex]e^{0.10}[/tex]

S(1) = [tex]e^{0.10}[/tex]

S(1) = 1.105170918075647

Therefore; S(1)  is 1.105170918075647 million dollar

 

Today, 198 people went to Six Flags the first hour it was open. This number was 30% of the number of people who went to the park yesterday. How many people went to the park YESTERDAY?

Answers

Its 660

there would be 198 people if you take 30% of 660

Answer:

660

Step-by-step explanation:

30% = 198 (People for the first hour it was open)

1% = 6.6 (1% for people at the park yesterday)

100% = 6.6 x 100 = 660 (Everybody at the park)

I hope I did it right.

Write the rate as a fraction in simplest form: 492 miles in 8 hours.

Answers

123 miles 2 hours

Tanks

Two cities are approximately 350 miles apart on the surface of the earth. Assuming that the radius of the earth is 4,000 miles, find the radian measure of the central angle with its vertex at the center of the earth that has one city on one side and another one on the other side. a. 0.0775 radians b. 0.1025 radians c. 0.0875 radians d. 0.0825 radians e. 0.1075 radians ____ 6. Name the reference angle in both degrees and radians.

Answers

Answer:

[tex]\mathbf{\theta = 0.0875 \ radians}[/tex]

Step-by-step explanation:

Given that:

The distance between city A and city B = 350 miles; &

The radius of the earth = 4000 miles

We all know that:

l = rθ

[tex]\theta = \dfrac{l}{r}[/tex]

[tex]\theta = \dfrac{350}{4000}[/tex]

[tex]\mathbf{\theta = 0.0875 \ radians}[/tex]

From l = rθ; recall that l = a

so;

a = rθ

350 = 4000×θ

θ = 350/4000

θ = 35/400 degree

In radians;

θ = (35/400) × (π/180)

θ = (7π /800× 180) radians

(45 + 33) +7 = 45 + (33 + 7)

What property is that

Answers

Answer:

Associative

Step-by-step explanation:

You want to buy a specific computer. A sales representative of the manufacturer claims that retail stores sell this computer at an average price of $1,249 with a very narrow standard deviation of $25. You find a website that has a price comparison for the same computer at a series of stores as follows:
$1,298; $1,229.96; $1,193.07; $1,279; $1,224.98; $1,229.97; $1,269.98; $1,248.
Can you argue that pricing has a larger standard deviation than claimed by the manufacturer?

Answers

Answer:

We fail to reject the null

Step-by-step explanation:

Given the data: 1298; 1229.96; 1193.07; 1279; 1224.98; 1229.97; 1269.98; 1248

Mean price, μ = 1249

Standard deviation, σ = 25

Variance, σ² =

Null hypothesis, H0 : σ² = 25²

Alternative hypothesis, H1 : σ² > 25

Using calculator, the sample standard deviation :

Sample standard deviation = s = 34.072

Sample size, n = 8

For chi² distribution :

X² = [(n - 1)s²] ÷ σ²

X² = [(8 - 1)*34.072^2] ÷ 25^2

X² = (7 * 1160.901184) / 625

X² = 13.002093

Using the Pvalue from Chisquare calculator, df = 8 - 1 = 7; α = 0.05

Pvalue =0.07206

0.07206 > 0.05

Since , Pvalue > α

We fail to reject the null; there is insufficient evidence to conclude that standard devuatue do selling a computer is greater than 25

16% of $72=
I need help so if you know help

Answers

Answer:

Step-by-step explanation:

$72 is 100% and

$? is  16%

? = 16*72/100 = 11.52

the answer would be 11.52

SOMEONE PLSS HELP!
Dwayne’s goal is to run 1 mile in 8 minutes or less. In order to predict when he will reach his goal, he drew a trend line that fits along the data points. He extended the trend line to week 8. According to the line, will he reach his goal by week 7? By week 8?

Answers

Answer:

where's the line? Can't answer it without it.

Alcohol is a major contributor to high percentages of academic problems and college dropouts. Question: Alcohol is a major contributor to high percentages of academic problems and college dropouts. True False Not Sure Question: Alcohol is a major contributor to high percentages of academic problems and college dropouts. How confident are you of your response

Answers

Answer:

True

Step-by-step explanation:

This is true. According to studies conducted roughly 40% of academic problems and cause of college, dropouts is due to Alcohol. The students tend to party and drink a lot. This alcohol consumption makes the students tired, hungover, and unable to properly function enough so that they can attend classes on time and study to be able to pass the exams. This ultimately leads to failing grades and dropping out of the career.

What is the area of this figure?

Answers

Answer:

75.398

Step-by-step explanation:

Mr. Greenwood bought 1/2 gallon of milk.His family members drank 3/4 of the milk for breakfast. .How many gallons of milk did they drink?

Answers

Answer: 6/8

Step-by-step explanation: this is the answer

The table shows the amount of apple
sauce made from one apple of each size.
Patrice has 17 medium apples and 23
large apples. What is the total amount
of apple sauce that she can make with
these apples?

Answers

Answer: 103/4 or 25.75 cups.

Explanation: We need to find the sum of the two types of apples times the cups of apple sauce one can make with them.

Thus, we have (1/2 cups*17 medium apples)+(3/4 cups*23 large apples)=103/4 or 25.75 cups.

Patrice can make a total amount of 25.75 cups of apple sauce.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Patrice has 17 medium apples and 23 large apples.

Amount of apple sauce form a small apple = 1/3 cup

But Patrice does not have any small apples.

Amount of apple sauce from a medium apple = 1/2 cup

Amount of apple sauce from 17 medium apples = 17 × 1/2 cups

                                                                               = 8.5 cups

Amount of apple sauce from a large apple = 3/4 cup

Amount of apple sauce from 23 large apples = 23 × 3/4 cups

                                                                            = 17.25 cups

Total apple sauce made from 17 medium apples and 23 large apples = 8.5 cups + 17.25 cups = 25.75 cups

Hence the total amount of apple sauce that Patrice can make is 25.75 cups.

To learn more about Multiplication, click :

https://brainly.com/question/29148612

#SPJ5

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