Answer:
The measure of the angle between the vectors = Ф = 11.30°
Step-by-step explanation:
Given
u = ⟨2, –3⟩v = ⟨1, –1⟩[tex]\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}[/tex]
Next, find the lengths of the vectors:
[tex]\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}[/tex]
u = ⟨2, –3⟩
[tex]\:\:\left|u\right|\:=\sqrt{2^2+\left(-3\right)^2}[/tex]
[tex]=\sqrt{13}[/tex]
u = ⟨2, –3⟩
[tex]|v|=\sqrt{1^2+\left(-1\right)^2}[/tex]
[tex]=\sqrt{2}[/tex]
Finally, the angle is given by:
[tex]\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}[/tex]
cos (Ф) = 5/√26
Ф = arc cos (cos (Ф)) = arc cos (5 √26) / (26)
Ф = 11.30°
Thus, the measure of the angle between the vectors = Ф = 11.30°
Answer:
The Answer is A. 11.3
Step-by-step explanation:
got it right. Also thats just the letter answer :)
Which is a correct first step in solving the inequality -4(2x - 1) > 5 - 3x?
Step-by-step explanation:
opening the bracket,the equation therefore is
-8x + 1 > 5 - 3x
add 8x to both sides
- 8x + 8x +1 > 5 - 3x + 8x
1 > 5 + 5x
subtract 5 from both sides
1 - 5 > 5 - 5 + 5x
-4 > 5x
Divide through by 5
-4/5 > x
which is therefore written is
x < -4/5
Write the explicit rule for the sequence 27, 29, 31, 33,...
A an=25+2n
B an=26+2n
C an=28+2n
D an=30+2n
find the measures of 1 and 4 if 2 = 119 and = 61
Answer:
1 = 61
4 = 119
Step-by-step explanation:
Alternate angles
Answer:
1 = 61 and 4=119
Step-by-step explanation:
If 2=119 then the other side of the angle which is 1 has to equal the sum of 180-119
if you reflected 2 across the x and y axis or in other words swapped places with the angel diagonal from it, this should answer the same thing as 2 hence why 2 equals 4 equals 119
3 would equal 1 which equals 61 as they both make 180 when paired with the angle directly next to it
A person who is 2 m tall casts a shadow that is 5 m long. At the same time, a building casts a shadow that is
24 m long. How tall is the building? Please show me how u get the answer
Answer:
9.6
Step-by-step explanation:
First you figure out that the shadow is 2.5 times larger than what is casting it. Then you divide 24 by 2.5.
plz, answer the question in the photo.
Answer:
H. 1.8 bc you divide 1 8/9 and you would get 1.8
Step-by-step explanation:
Hoped I helped Im Eve btw. Have an amazing day and consider marking this as brainliest if you do thank you in advanced! :3
HELP PLEASE!!!! Picture below!! Will give brainlist!!!
Answer:
1 / 81
Step-by-step explanation:
[tex]9^{-2} \ means\ \frac{1}{9^2} \\\\[/tex]
then it becomes,
[tex]\frac{1}{81}[/tex]
MATH! THIS IS DUE WHEN CLASS ENDS!!
The d/f b/n the maximum and minimum value is called______
Answer it ik its easy
Answer
range ...............
Step-by-step explanation:
ok hope it helps you
Answer:
...........range..........
Step-by-step explanation:
mark as brainliest and follow also.
don't forget to like it.
Evaluate 3x – 4 when x=7. The value of the expression is
Answer:
17
Step-by-step explanation:
Answer:
Let's solve your equation step-by-step.
3x+2=14
Step 1: Subtract 2 from both sides.
3x+2−2=14−2
3x=12
Step 2: Divide both sides by 3.
3x /3 = 12/3
x=4
determine the equation of the line that passes through points (-4,5) and has a slope of m = -3
Answer:
y=-3x-7
Step-by-step explanation:
You want to find the equation for a line that passes through the point (-4,5) and has a slope of -3.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was -3. So you can right away fill in the equation for a line somewhat to read:
y=-3x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(-4,5). When x of the line is -4, y of the line must be 5.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the -3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-4,5).
So, why not plug in for x the number -4 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.
(-4,5). y=mx+b or 5=-3 × -4+b, or solving for b: b=5-(-3)(-4). b=-7.
which expression represents f[g(x)] if f(x)=x^2 +3 and g(x)=-x+1?
(x+1)^2 + 3
you just put the value of g(x)in f(x)
what is 2,584,606.61 rounded to the nearest dollar?
دائرة مركزها o فيها الوتران cd,ab اذا علمت ان النقطة n نقطة منتصف الوتر cd والنقطة m نقطة منتصف الوترab وكان om=on وطول cn=6cm
فان طول AB يساوي :
c 24cm
b 12 cm
a 6 cm
Step-by-step explanation:
12cm
...............
Answer:
c 24cm
Step-by-step explanation:
Solve the following equation below.
Answer:
x=3 C
Step-by-step explanation:
5x-13=-3x+11
8x-13=11
8x=24
x=3
Answer:
the answer is x=3
Step-by-step explanation:
i hope this help you
whats the midpoint between -1,2 and -3,-4
Answer:
md(-2,-1)
Step-by-step explanation:
Md=(x1+x2/2,y1+y2/2)
or,Md=(-1-3/2,2-4/2)
or,Md=(-4/2,-2/2)
•°•Md=(-2,-1)
A submarine is 84 feet below the surface of the water, and descends 10 feet deeper every minute. How many minutes will it take for the submarine to be located 219 feet below the surface? please help last question of the day
810 minutes
if u add ten to 219 each time u will get 13 and 5 left which is 13.5 and 13.5 in minutes equals 810
(-2, 1) (1, 5) find the slope
Answer: m = 2
Step-by-step explanation:
sorry if wrong please mark brainlest
If 24 = 118, what is the measure of each of the other
angles?
Answer:
Step-by-step explanation:
Lines l and m are the parallel lines and line n is a transversal intersecting parallel lines.
Since, m∠2 = m∠4 = 118° [Given]
m∠2 = m∠6 = 118° [Corresponding angles]
m∠4 = m∠8 = 118° [Corresponding angles]
m∠1 + m∠2 = 180° [Linear pair of angles]
m∠1 = 180° - 118° = 62°
m∠1 = m∠5 = 62° [Corresponding angles]
m∠3 = m∠1 = 62° [Corresponding angles]
m∠7 = m∠5 = 62° [Corresponding angles]
A company has recently been hiring new employees. Today the company has 33% more employees than it did a year ago. If there are currently
53,200 employees, how many employees did the company have a year ago?
9514 1404 393
Answer:
400
Step-by-step explanation:
If x represents the number of employees a year ago, the current number is ...
x + 0.33x = 53,200
x = 53,200/1.33 = 400
The company had 400 employees a year ago.
What is the slope? (1,7) (15,14)
Step-by-step explanation:
y2-y1/x2-x1
15-1/14-7
14/7
=2
The length of a rectangle is 5 less than 3 times its width. The perimeter is
78. Find the LENGTH.*
Answer:
The length is 28 and the width is 11
Step-by-step explanation:
To solve this problem, we can make the width as x.
Since the length is 5 less than 3 times the width, it's going to be 3x - 5
So now we've got the length and width, just need to find the perimeter, which is all the sides added up together. They already gave us the perimeter, so we just have to solve the equation:
2(3x - 5) + 2x = 78
6x - 10 + 2x = 78
8x - 10 = 78
8x = 88
x = 11
x = 11, but remember, x is the width, not the length. Since we already found what x is, we just have to plug it into the equation of:
3x - 5
3 × 11 - 5
33 - 5 = 28
Answer: Length = 28 (don't forget to add the unit if there is one)
CAN SOMEONE HELP ME ON THIS QUESTION ASAP IT IS DUE IN 10 MORE MINUTES
Answer:
90° degrees
Step-by-step explanation:
cause if you look closely inside the semi circle is a right angle and a right angle is 90°
48 is what percentage of 24?
Answer: 50%
Step-by-step explanation:
24 divided by 48 is 0.50 so 50%
Answer:
200%
Step-by-step explanation:
2=200% and 24 × 2 = 48
What is f(3) for the function f(x) = 2x +5?
Answer:
f(3) = 11
Step-by-step explanation:
To evaluate f(3), substitute x = 3 into f(x), that is
f(3) = 2(3) + 5 = 6 + 5 = 11
i need help asap please!
Answer:
option 2 is the best answer
Step-by-step explanation:
I actually couldn't tell you 100% how i got this answer, but i narrowed it down to option 2 and option 3 because those ones have the inequality sign facing the correct way, and then I solved the inequalities to see which one made more sense, and option 3 came out as negative and you can't have a negative cost on something, so option 2 is the best answer.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. A company's stock price fluctuated over a period of four days. The table shows the change in stock price per day. Day Change 1 increased by $3.50 2 decreased by $3.70 3 increased by $3.30 4 decreased by $3.40 The net change in the company’s stock price over the four days is $.
Answer:
-0.30
Step-by-step explanationLets start
ANother giveaway in one another condition is to sing 'I Want it that way by backstreet boys'
Answer:
Step-by-step explanation: Backstreet Boys are an American vocal group, formed in Orlando and The song was a minor success in the U.S., peaking at only The group began working on their second album
Can someone one help me
Answer:
28
Step-by-step explanation:
what you do is add 39 plus 74
that answer will give you 113 so then you subtract 180 from that
then you get 67, then what you do is subtract 39 and you would get 28
x = 28
HELPP!!
$6.75 marked up 25%*
Answer:
Revenue = $8.44
Profit = $1.69
Step-by-step explanation:
PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ HELP ME I need answers ASAP