1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rashid [163]
3 years ago
10

Find the angle θ between u = <7, –2> and v = <–1, 2>.

Mathematics
2 answers:
AlekseyPX3 years ago
8 0

Answer:

132.5°

Step-by-step explanation:

u•v = |u| |v| cos(theta)

(7×-1) + (-2×2) = sqrt(53) × sqrt(5) cos(theta)

-7-4 = sqrt(265) cos(theta)

cos(theta) = -11/sqrt(265)

theta = 132.510447078

Dmitry_Shevchenko [17]3 years ago
7 0

The angle between two vectors is:

CosФ = u - v / Magnitude(u) x magnitude(v)

Magnitude of u = SQRT(7^2 + -2^2) = SQRT(49 +4) = SQRT(53)

Magnitude of v = SQRT(-1^2 +2^2) = SQRT(1 +4) = SQRT(5)

u x v = (7 x -1) + (-2 x 2) = -7 + -4 = -11

cosФ = -11 / sqrt(53) x sqrt(5)

cosФ = -11sqrt265) / 265

Ф =cos^-1(-11sqrt265) / 265)

Ф=132.51 degrees.

You might be interested in
A girls hair is 12 3/8 inches long if she had 2 1/2 inches cut off how long will her hair be ?
Darya [45]

Answer: 9 and 7eights

Step-by-step explanation: Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction. Which would equal, 9 and 7eights.

5 0
3 years ago
An animal shelter has 9 puppies. If the puppies are 36% of the total dog and cat population, how many dogs and cats are in the a
Luda [366]

Answer:

Let total number of dog and cat population in animal shelter be x.

As per the statement:

An animal shelter has 9 puppies.

⇒ Total number of puppies = 9

It is also given that if the puppies are 36% of the total dog and cat population.

⇒ 9 = 36\% \text{of}{\text{total number of dogs and Cat}

or

9 = \frac{36}{100} \times x

By cross multiply we get;

900 = 36 x

Divide both sides by 36 we get;

25 = x

Therefore, total number of dogs and cat population in animal shelter are 25


5 0
3 years ago
45 less than twice Jose’s savings. Use the variable J to represent Jose’s savings
allochka39001 [22]
The answer is
(J•2)-45=
8 0
3 years ago
What is the value of e^ ln^ 7x
enot [183]
It's 1/7 e 7 x. the seven and the x are exponents.
3 0
3 years ago
Read 2 more answers
HELP NOOOOOOOOOOOOOOOOOOOOOOOOOOOW!
boyakko [2]

Answer:

b

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • Write the algebraic expression that is the model of 3 boxes labeled x, 2 boxes labeled y and 4 boxes without a label
    6·1 answer
  • Suppose the scores on a history quiz are normally distributed with a mean of 73 and a standard deviation of 4. Which group descr
    11·1 answer
  • What is the solution to this equation 5x -8(x + 5)= 6-3x
    13·1 answer
  • How can you determine when two angles are similar
    9·2 answers
  • Tamika wants to double the volume of a square pyramid. What should she do? a-Double the height and the sides of the square.
    7·2 answers
  • What is the first start in estimating 56×27
    7·2 answers
  • (b) If Jordan is 7 years old, how old is Kim? Show your work. Make sure to write your answer in the form of a sentence.
    13·1 answer
  • The number of potholes in any given 1-mile stretch of freeway pavement in Pennsylvania has a Normal distribution. This distribut
    9·1 answer
  • Football team scores 42 points in 3<br> games. Find the unit rate
    12·2 answers
  • Please help,, will mark brainliest!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!