PLEASE HELP
Vectors u and v are graphed. Explain in detail each step necessary to find the angle between the two vectors and find the angle in degrees.
Answers
Answer:
Angle between vectors u and v: 26.56 degrees
Step-by-step explanation:
I just recently did this question, so here's my response and hopefully that helps you:
Vector u is <-3,-4> and vector v is <-2,-1>. To find the angle between the two vectors, you first need to find their dot product. This means that u*v = <-3,-4> * <-2,-1> = (-3)(-2) + (-4)(-1) = 6 + 4 = 10. Second, you find the product of each of the vectors' magnitudes. The magnitude for vector u is ||u|| = sqrt((-3)^2 + (-4)^2) = sqrt(9+16) = sqrt(25) = 5. The magnitude for vector v is ||v|| = sqrt((-2)^2 + (-1)^2) = sqrt(4+1) = sqrt(5). The product of the magnitudes would thus be ||u||||v|| = 5sqrt(5). Third, divide the dot product by the product of the magnitudes which would be u*v/||u||||v|| = 10/5sqrt(5) = 2sqrt(5)/5. Lastly, you take the arccosine of the result which would be theta=cos^-1(2sqrt(5)/5) = 26.56 degrees, which is the angle between vectors u and v.
The explanation for determining the angle between the two vectors and find the angle in degrees should be explained below.
Steps for determining the angle:Since
vector v is from (0,0) to ( -2,-1)
So,
[tex]\bar{v}=-2i-j[/tex]
Here, vector u is from (0,0) to (-3,-4)
So,
[tex]\bar{u}=-3i-j4[/tex]
Now here we used dot product concept
Now
[tex]\bar{u}.\bar{v}=|u|.|v|cos\theta\\ \bar{u}.\bar{v}=(-3i-4j).(-2i-j)=6+4=10\\ |u|=\sqrt{9+16}=5\\ |v|=\sqrt{4+1}=\sqrt{5}\\ cos\theta=10/(5*\sqrt5)=2/\sqrt5\\ \theta=cos^{-1}(2/\sqrt5)= 26.56^o[/tex]
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Related Questions
giving brainlest to whoever answers this (CORRECTLY)!!!!
Answers
Answer:
14.4
Step-by-step explanation:
Answer:
14.4 m2
Step-by-step explanation:
area = L x W
here we have these two values so area = 3 x 4.8
this gives us 14.4 m2
When Austen's parents are away celebrating their anniversary, he gets to sleepover for a week at his
grandparents' house. Afterwards, Austen decides to make his grandparents a photo album of their time
together. There are 7 pages in the album. Austen puts the same number of photos on each page, for a
total of 42 photos.
Which equation can you use to find the number of photos p on each page?
P = 42
7p = 42
P + 7 = 42
D-7=42
7
Solve this equation for p to find the number of photos on each page.
photos
Submit
Answers
Answer:
The answer is 6 becase 6 12 18 24 20 36 42 that is 7 so the answer is 6 and it is b
Step-by-step explanation:
brainliest pls
Preciso de ajudar nessa questão que segue em anexo.
Answers
Answer: $85
Step-by-step explanation:
Não falo português mas tentarei ajudar.
Multiplique 6 2/3 e 3 1/7.
6 2/3 x 3 1/7 = 20 20/21
Dividir 20 20/21 e 5.
20 20/21 / 5 = 4 4/21.
Precisa de cinco latas de tinta.
5 x $17 = $85
I don’t understand it help and add a explanation for me pls :}
Answers
write an inequality in slope intercept form for the graph below. if necessary use <= or >=
Answers
Answer:
Where is the graph tho?
Step-by-step explanation:
dillon pays x dollars to get a haircut. he gives the stylist a 15% tip. the expression representing his total cost is x + 0.15x
Answers
Answer:
B) 1.15x, adding 15% to the cost of haircut is same as to multiply cost by 1.15
Step-by-step explanation:
Given expression = x + 15% of x
x + (15/100) x = x + 0.15x
= (1+ 0.15) x = 1.15x
15% = 0.15 , added to x = 1.15x
simplify 3/36 will choose brainliest
Answers
Answer:
3/36 simplified is 1/12
Hope this helps!
Help would be nice! Question is can you help me?
All you have to do is find the surface area, free brainliest if you get it right simple as that
No links or stuff like that
Otherwise I will eat your family :)
Answers
Answer:
84
Step-by-step explanation:
you just got to do 12 * 14 , then divide by 2. so the answer is 84
for the entire thing, the area would be 480
Pls help and find the area
Answers
Answer:
I don’t know the area but here’s a hint to help you (hint: length x with x height)
Step-by-step explanation:
The area of the square is 25 cm2. What is the length of side b?
centimeters
Answers
Answer:
5
Step-by-step explanation:
Since a square has all equal sides, you would simply take the square root of 25 to get your answer.
The sidewalk is 5 feet wide and the garden measures 40 feet across. Which measurement is closest to the area of the sidewalk?
A.
3,200 ft
B.
1,400 ft
C.
700 ft
D.
1,000 ft
Answers
Answer:
C
Step-by-step explanation:
A candle on a table is 6 inches tall and burns at a rate of .8 inches per hour. How many hours will it take for the candle to burn down to a height of 1.2 inches?
Answers
Answer:
6 hours
Step-by-step explanation:
6 inches burns at rate .8 inches in 1 hour
to be 1.2 inches has to burn 6 -1.2 = 4.8 inches of the candle
4.8 inches / .8 inches in 1 hour = 6 hours
Which solution correctly solves the problem 6x - 19 = 77? plz help
A.
B.
C.
D.
Answers
Answer:
D
Step-by-step explanation:
in order to get the process of solving the equation, we need to solve it.
our goal to solve the equation 6x-19=77 is to isolate the variable onto one side, and have the numbers (value of x) on the other
we have the equation:
6x-19=77
first, we can get rid of -19 on the left side and leave 6x on that side by adding 19 to both sides (-19+19=0).
The reason why we're adding 19 to both sides is because if we do something to one side, we have to do it to the other side to make sure the value of the equation stays the same.
6x-19= 77
+19 +19
_________
6x=96
now, we do have the variables on one side and the numbers on another side, but we aren't done yet, as we want the value of x by itself
divide by 6 on both sides
x=16 (because 6x/6=1x, or x. 96/6=16).
the option of D shows the same method I did and has the correct answer as well.
This is what was given for D:
6x-19=77
6x-19+19=77+19
6x=96
6x/6=96/6
x=16
(same thing I did)
So D is the correct answer.
Hope this helps!
Which number is equivalent to 6^2x6^3
Answers
Answer: 6^5
Step-by-step explanation:
7776 is the answer
Pls help which statement is true?
Answers
The first statement is true
Step-by-step explanation:
They all can be simplyfied to 3/4 including 12/16
Write the equation of the line Perpendicular to g (x) = 3x – 0.77, going through the point (0,-5). Show all work.
Answers
Answer:
y = -⅓x - 5
Step-by-step explanation:
the slope of g(x) = 3
=> the slope of the line perpendicular
to g(x) = -1 /3
so,
the line is :
y +5 = -⅓(x-0)
y = -⅓x - 5
On comparison to slope intercept form
slope=m=3Perpendicular lines have slopes negative reciprocal to each other
Slope of perpendicular line=-1/3
Equation
y+5=-1/3xy=-1/3x-5
On a map 1 cm represents 40 km. the real life distance between two places on the map is 360km what is the distance between these two places on the map
On a second map the distance between the same two places is 4cm what real life distance does 1 cm represent on the second map?
Answers
Map 2 40km
A cylinder has a base radius of 3m and a height of 17m. What is its volume in cubic m, to the nearest tenths place?
Answers
Answer:
V= 480.7 m cubed
The volume of the cylinder nearest to tenths place is 480 m^3.
What is cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface.
For the given situation,
The formula for volume of the cylinder is [tex]V=\pi r^{2} h[/tex]
Radius of the cylinder,r = 3 m
Height of the cylinder, h = 17 m
The value of π = 3.14
On substituting the above values,
[tex]V=(3.14) (3^{2})(17)[/tex]
⇒ [tex]V=480.42[/tex] ≈ 480
Hence we can conclude that the volume of the cylinder is 480 m^3.
Learn more about volume of cylinders here
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#SPJ2
I'M A GOOFY ______ !!!!!
A. Kid
B.Guy
C.Dude
D.Goober
Answers
Answer:
D
Step-by-step explanation:
SPONGEBOB!!
Jill needs 3 tonnes of salt. If a packet of salt weighs 600 g how many packets does she need?
Answers
Answer:
Solution given:
1 packet=600g
we have
1 tone =1000000g
3tone=3000000g
we have
no of packet's=[tex] \frac{total weight }{1 packet weight } [/tex]
=[tex] \frac{3000000}{600} [/tex]
=5000
packets she needs is 5000.
Find the center and radius of this
circle.
(x - 2)2+(y + 3)2 = 36
Answers
Answer:
(x-a)² + (y-b)² = r²
C(a,b) -> C ( 2 , -3 )
r² = 36 ... r = 6
Answer:
The answer is 2 then -3 and last 6
Step-by-step explanation:
Put in 2 then -3 and last 6 You welcome
A survey asked first-year college students, "How many miles is this college from your permanent home?" Students had to choose from the following options: 5 miles or less, 6 to 10 miles, 11 to 50 miles, 51 to 100 miles, 101 to 500 miles, or over 500 miles. The bar chart below shows the percent of students at public and private 4-year colleges who chose each option.
Answers
Answer:
Students who attend a private college are more likely to travel a farther distance to attend college.
Step-by-step explanation:
Q12.
Which relation is a function?
A
{(-1, 3), (-2, 6), (0, 0), (-2, -2)}
B
{(-2, -2), (0, 0), (1, 1), (2, -2)}
C
{(7, 4), (8, 8), (10, 8), (10, 10)}
D
{(4, 0), (4, 1), (4, 2), (4, 3)}
Answers
Volume of Composite Figures
Answers
Answer:
612 pi m^3
Step-by-step explanation:
Volume of the cylinder = 576 pi m^3
volume of the cone = (radius^2 x pi x height)/3 = (6^2 x pi x 3)/3 = 36 pi m^3
total volume = 576 pi + 36 pi = 612 pi m^3
Given b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C. What is the area of the triangle? Round to the nearest hundredth.
Answers
Answer:
1.73 units
Step-by-step explanation:
The area of a triangle with sides a, b, c and angles A, B, C is given as
Area = 1/2 bc sin A
Given that b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C then the area
= 1/2 * 4 * 1 * sin 120
= 2 sin 120
= 2 * √3/2
= √3
= 1.732
To the nearest hundredth = 1.73
What is the meaning of f '' (4) = -4?
Answers
Hi there!
f''(4) = -4 means that at x = 4, the second derivative is equal to -4. This is equivalent to the instantaneous rate of change of the graph of f'(x) at x = 4 as well.
Answer:
Step-by-step explanation:
if the second derivative is -4 means that the function is concave down and that at point 4 the function has a maximum
PLEASE HELP ME IT' S FOR TODAY!!!
Answers
Answer:
x=55
Step-by-step explanation:
125+125=250
250+2x=360
2x=110
x=55
Answer:
55
Step-by-step explanation:
There are many ways to solve this problem; however, I used the one I believe to be the fastest and easiest, but you can still use a different way.
I solved this by using the fact that the green angle (m<125) and the red angle (x) make a straight line. All straight lines equal 180 degrees; therefore, this line must equal 125+x=180. Then, you can subtract 125 from both sides of the equation. That leaves x=55.
Besties helpppp please FASTTT
Answers
Answer:
180
Step-by-step explanation:
area of a trapezoid = [tex]\frac{a+b}{2}h[/tex]
where a = base 1
b = base 2
and h = height
This is what we are given
base 1 = 23
base 2 = 37
and height = 6
That being said we plug in the given values into the formula
[tex]A=\frac{37+23}{2} 6\\23+37=60\\\frac{60}{2} =30\\30*6=180[/tex]
Hence the area of the trapezoid is 180 square feet
Rick wants to use multiplication to solve {k} = 7 \div \dfrac13k=7÷ 3 1 k, equals, 7, divided by, start fraction, 1, divided by, 3, end fraction. Which multiplication equation can Rick use? Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac13\times{k} =7 3 1 ×k=7start fraction, 1, divided by, 3, end fraction, times, k, equals, 7 (Choice B) B \dfrac13={k}\times7 3 1 =k×7start fraction, 1, divided by, 3, end fraction, equals, k, times, 7 (Choice C) C \dfrac13\times7 = {k} 3 1 ×7=kstart fraction, 1, divided by, 3, end fraction, times, 7, equals, k
Answers
Answer: (a)
Step-by-step explanation:
Given
Equation is
[tex]k=\dfrac{7}{\frac{1}{3}}[/tex]
Write the cross-multiplication of the given equation i.e.
[tex]\Rightarrow \dfrac{1}{3}\times k=7[/tex]
This corresponds to the option (a).
Answer:
C
Step-by-step explanation:
ITS C BECAUSE I WASTED A MISTAKE BC OF THE OTHER GUY ON TOP
DONT USE HIS
JUST USE MINE
DONT NEED AN EXPLANATION NOOOOB
What is the domain of the function ?