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
Yakvenalex [24]
3 years ago
5

Find the angle between u = (-2,-5) and v = (5,2)

Mathematics
1 answer:
OleMash [197]3 years ago
3 0

The angle between u = (-2,-5) and v = (5,2) is 134 degrees approximately.

<u>Solution:</u>

Given, two vectors are u = (-2, -5) and v = (5, 2)

We have to find the angle between two vectors.

We know that,

a. b=\|a\| .\|b\| \times \cos \theta

where \theta is angle between vectors a and b

\text { Now vectors are }(-2 \vec{\imath}-5 \vec{\jmath}) \text { and }(5 \vec{\imath}+2 \vec{\jmath})

(-2 \vec{\imath}-5 \vec{\jmath}) \cdot(5 \vec{\imath}+2 \vec{\jmath})=\sqrt{(-2)^{2}+(-5)^{2}} \times \sqrt{5^{2}+2^{2}} \times \cos \theta

\text { since }\|a\|=\sqrt{x^{2}+y^{2}} \text { for } a=x \vec{\imath}+y \vec{\jmath}

\begin{array}{l}{-10-10=\sqrt{29} \times \sqrt{29} \times \cos \theta} \\\\ {-20=29 \times \cos \theta} \\\\ {\cos \theta=\frac{-20}{29}} \\\\ {\theta=\cos ^{-1} \frac{-20}{29}} \\\\ {\theta=133.60}\end{array}

Hence, the angle between given two vectors is 134 degrees approximately.

You might be interested in
Nancy and Kevin collect coins. Nancy has x coins. Kevin has 9 coins fewer than five times the number of coins Nancy has. Write a
Alexus [3.1K]

Answer:

x + (5x-9)

Step-by-step explanation:

x stands for the number of coins Nancy has

Kevin has 9 less than 5 times what Nancy has, so his part of the expression is 5x-9

To find the total number of coins they have, you have to add Nancy's number of coins x plus Kevin's number of coins 5x-9

x + (5x-9)

But you have to put parentheses around Kevin's 5x-9 so that part of the expression is calculated first, as per order of operations

3 0
2 years ago
A map has a scale of 2.5 inches=125 miles. If the actual distance is 300 miles what is the distance on the map
e-lub [12.9K]
Answer 5.5

Explanation 125 + 125= 250
250 + 50=300

Is 2 125s and 1 50

Each 125 is 2.5

But in this case there is 2 125s

2.5+2.5=5
plus the other half = 5.5

BRAINLIST?
4 0
2 years ago
What is the answer for 1 52÷1.9=​
velikii [3]

Answer:

80

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
7/4 x 16/5 as a inproper fraction if posibble
creativ13 [48]

Answer:

28/5

Step-by-step explanation:

6 0
2 years ago
Help with number 4 please?
LekaFEV [45]
10 because 7 x 3 = 21 and 7 + 3 = 10 so your answer is 10
5 0
3 years ago
Read 2 more answers
Other questions:
  • 1. 4 • (–3) • 5 <br> 2. (2.25 • 23) • 4 <br> 3. <br> 4. 5 • 12 • (–2)
    9·1 answer
  • PLEASE HELP!! WHAT IS THE SLOPE OF THE GRAPH SHOWN BELOW.
    6·2 answers
  • If the area of the triangle is 84 in2 squared, what is the value of x?
    8·2 answers
  • At Britney's Beading Boutique, 60% of the 85 beads on clearance are plastic. How many plastic beads are there on clearance?
    9·1 answer
  • Given g(x)=-4(x+4)^2 - 8 what transformations were done compared to the parent function f(x)=x^2 ?
    13·1 answer
  • Which angle determines whether or not quadrilateral SVUT is a trapezoid? What measure would the angle need to be for SVUT to be
    6·1 answer
  • Ella and three friends run in
    14·1 answer
  • We analyzed the relationship between the budgets (in millions of dollars) and the U.S. Box Office Sales (in millions of dollars)
    14·1 answer
  • A family purchased tickets for a concert and paid a total of $70. They purchased 4 child tickets and 3 adult tickets. If an adul
    6·1 answer
  • Find the value of x in each case and give an explanation plzzz, thank youu :)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!