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
RideAnS [48]
3 years ago
11

Find the angle between u =

Mathematics
1 answer:
expeople1 [14]3 years ago
7 0

Answer:

Answer is not listed.

Step-by-step explanation:

To begin with the  dot product between the vectors

a = 53i - 8j\\b = 6i+j

a \bullet b = a_x (b_y) + a_y( b_y) = 53 (6) + (-8) ( 1) = 318 - 8 = 310

Then you compute the magnitude of the vectors:

|a| = \sqrt{a_x^2 + a_y^2} = \sqrt{532 + (-8)^2 }= \sqrt{2809 + 64} = \sqrt{2873} = 13\sqrt{17}\\|b| = \sqrt{b_x^2 + b_y^2} = \sqrt{62 + 12} = \sqrt{36 + 1} = \sqrt{37}

Then, remember that there is a theorem which states that

{\displaystyle \cos(\text{Angle between vectors}) = \cos(\alpha ) = \frac{a\bullet{b}}{|a| \, |b|}

Now for our problem

\cos(\alpha) =  0.9508084195267653\\\alpha = \arccos(0.9508084195267653) = 18.0

You might be interested in
CR 27 campers this is 9 times as many as the number of counselors how many consoles are there
ycow [4]
 243 counselors will be there
6 0
3 years ago
Frank and Gertrude mow lawns for extra money over the summer. Frank's income is determined by f(x) = 5x + 15, where x is the num
Zepler [3.9K]
H(x)=5x+15+4x+20

if x=4, together it would be 5(4)+15+4(4)+20
h(x)=20+15+16+20=71
Divided by 2, they'd each get 35.5

If Frank worked alone, he'd get 5(4)+15= 35
He'd make more working together. 
3 0
4 years ago
Select all of the following that are quadratic equations. 7x2 + 14x = 0 x3 - 3x2 + 1 = 0 5x - 7 = 0 x2 + 3x -5 = 0 x - 5 = 9x +
Tpy6a [65]

Answer:

7x2 + 14x = 0

x2 + 3x -5 = 0

x2 - x = 3x + 7  

Step-by-step explanation:

A quadratic equation has the highest power of x to the second power.  It must have x to the second power

7x2 + 14x = 0  quadratic

x3 - 3x2 + 1 = 0   not quadratic  but cubic

5x - 7 = 0  not quadratic  but linear

x2 + 3x -5 = 0   quadratic

x - 5 = 9x + 7  not quadratic but linear

x2 - x = 3x + 7  quadratic

4 0
3 years ago
The 1997 a value of an object was $5000. In 2012, it was worth $9500. The annual percent growth has been constant. What is the a
Daniel [21]
<h3>Annual percent growth is 4.37 %</h3>

<em><u>Solution:</u></em>

<em><u>The increasing function is given as:</u></em>

y = a(1+r)^t

Where,

y is future value

a is initial value

r is growth rate

t is number of years

From given,

a = 5000

y = 9500

t = 1997 to 2012 = 15 years

r = ?

<em><u>Substituting the values we get,</u></em>

9500 = 5000(1+r)^{15}\\\\(1+r)^{15} = 1.9\\\\Take\ \frac{1}{15}th\ power\ on\ both\ sides\\\\1+r = (1.9)^{\frac{1}{15}}\\\\1+r = 1.04367\\\\r = 1.04367 - 1\\\\r = 0.04367\\\\In\ percentage,\\\\r = 0.04367 \times 100 \%\\\\r = 4.367 \% \approx 4.37 \%

Thus annual percent growth is 4.37 %

8 0
3 years ago
Helppp!!!<br> Simplify this. Please explain it too.<br><br> 18x^4 – 3x^3 – 2x^3 + x^2 – 10 + 6
strojnjashka [21]

Answer: 18x^4 - 5x^3 + x^2 - 4

Step-by-step explanation:

We need to add like terms.

-10 and 6 are like terms

-10 + 6 = - 4

-3x^3 and -2^3 are like terms

-3x^3 + -2^3 = -5x^3

There are no other like terms.

18x^4 - 5x^3 + x^2 - 4

5 0
4 years ago
Other questions:
  • Please answer this question now
    5·2 answers
  • Change this equation to the form y= (slope) x+y-intercept -6x+2y=4
    6·1 answer
  • it's just had to do chores 5 minutes 25 minutes 30 minutes 1 hour and 15 minutes and his father came home at 6.10 what is the la
    7·1 answer
  • Emma has 460 ballet stickers in her collection. Each month she adds 28 more stickers to her collection.
    6·1 answer
  • What is the answer in the picture ?
    12·1 answer
  • Find the discriminant and the number of real roots for this equation 9x^2+12x+4=0
    13·2 answers
  • Which of the following points does not lie on the graph of y = 5x - 5?
    11·1 answer
  • Michael has 2 liters of a 10% solution. How much of a 17% solution would he need to add to get a 15% solution?
    9·2 answers
  • The number f of miles a helicopter is from its destination x minutes after takeoff is given by f (x)=40-2x. The number f of mile
    6·1 answer
  • Anyone know the volume of this shape?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!