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]
Learn more about graph here: https://brainly.com/question/2111181
Related Questions
Enter the volume in cubic inches of the can round your anwser to the nearest hundredth
Answers
Answer:
87.92in³
Step-by-step explanation:
Volume of cylinder formula:
[tex]V = \pi r^{2} h[/tex]
Plug in the values using 3.14 for pi:
V = 3.14(2)^2(7)
V = 87.92in³
Write the equation of the line with a slope of -2 that passes through (-5, 6).
a. y = -5x + 6
b. y=-2x – 4
c. y = -2x + 7
d. y = 4x - 2
(all of my points)
Answers
Answer:
B
Step-by-step explanation:
use y=mx+c
follow the flow
Michael is placing cubic blocks into a box that measures 8 inches by 12 inches. each block is 1 cubic inch. he has packed the first layer of the box with 96 blocks. the box is 10 inches high. how many blocks will Michael be able to pack into the box in all?
Answers
Answer:
960
Step-by-step explanation:
First of all we can find the volume of the whole box:
8×12×10=960
then find the area of the blocks:
1×1×1=1
Finally, we divide them to find how many fit in to the box:
960÷1=960
So 960 of the blocks will fit into the box.
If a cylinder has a height of 7 m and its base has a radius of 6 m, what is its volume? Use 3.14 for 5 and
round the answer to the nearest whole number.
O 490 m3
791 m3
923 m3
1,583 m3
Answers
Answer:
Step-by-step explanation:
If $10,000 is invested at an annual rate of 11%, compounded quarterly, find the value of the investment after the given number of years.
a) 5 years b) 10 years c) 15 years
Answers
Answer:
[tex]a) A\simeq17204.28[/tex]
[tex]b) A\simeq29598.74[/tex]
[tex]c)A\simeq50922.51[/tex]
Step-by-step explanation:
The amount formula in compound interest is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $10000
[tex]r = 11\% = \frac{11\%}{100\%}=0.11[/tex]
n = 4 (quarterly in a year)
a ) t = 5 years
[tex]A=10000(1+\frac{0.11}{4} )^{(4)(5)}\\\\A=10000(1+\frac{0.11}{4} )^{20}\\\\A=17204.28431\\\\A\simeq17204.28[/tex]
b) t = 10 years
[tex]A=10000(1+\frac{0.11}{4} )^{(4)(10)}\\\\A=10000(1+\frac{0.11}{4} )^{40}\\\\A=29598.73987\\\\A\simeq29598.74[/tex]
c) t = 15 years
[tex]A=10000(1+\frac{0.11}{4} )^{(4)(15)}\\\\A=10000(1+\frac{0.11}{4} )^{60}\\\\A=50922.51361\\\\A\simeq50922.51[/tex]
Answer:
Solution given;
principal [p]=$10000
rate[r]=11%
time[t]= 5 years
we have
compound amount quarterly =P(1+r/400)^4t
=$10000(1+11/400)^4×5=$17204.28431
A coin is tossed 116 times. Heads appears 29 times. What is the experimental probability of getting heads?
Btw 40 pts for this :NOT A SCAM
Answers
Answer: 29/116
Step-by-step explanation:
Find two values for k such that the trinomial x2 – 7x + k can be factored over the integers. Explain your reasoning.
Answers
Answer:
1) For [tex]a = 1[/tex]: [tex]b = 6[/tex] and [tex]k = 6[/tex], 2) For [tex]a = 3[/tex]: [tex]b = 4[/tex] and [tex]k = 12[/tex]
Step-by-step explanation:
The polynomial [tex]y = x^{2} - 7\cdot x + k[/tex] is a second-order polynomial of the form [tex](x-a)\cdot (x-b) = x^{2}-(a+b)\cdot x + a\cdot b[/tex]. By direct comparison, we construct the following system of equations:
[tex]a + b = 7[/tex] (1)
[tex]a\cdot b = k[/tex] (2)
By (1) we know that there are a family of pairs such that the system of equations is satisfied. Let suppose that both [tex]a[/tex] and [tex]b[/tex] are integers. We assume two arbitrary integers for [tex]a[/tex]:
1) [tex]a = 1[/tex]
[tex]b = 7 - a[/tex]
[tex]b = 6[/tex]
[tex]a\cdot b = k[/tex]
[tex]k = (6)\cdot (1)[/tex]
[tex]k = 6[/tex]
2) [tex]a = 3[/tex]
[tex]b = 7 - a[/tex]
[tex]b = 4[/tex]
[tex]a\cdot b = k[/tex]
[tex]k = (3)\cdot (4)[/tex]
[tex]k = 12[/tex]
In the number 576,439,260 the 4 is in
A. the millions place.
B. the thousands place.
C. the ten thousands place.
O D. the hundred millions place.
O E. the hundred thousands place,
Answers
Could I get help as soon as possible?
Answers
Answer:
(0, 0)
Step-by-step explanation:
It's 0 minutes since the bath begun, the depth of the water is 0 inches. I know I already answer this, but just in case.
3x²-7x+4=0
can yall help me
Answers
Answer:
I think it
[tex]X1 = 1.333\\X2 = 1\\\\[/tex]
solve for the value of c
Answers
Answer:
C = 11
Step-by-step explanation:
90 - ( 8 + -6 ) = 88
88 / 8 = 11
:)
A collection of 22 dimes and quarters has a total value of $4.00. Write a system of equations that defines this situation and solve using any method.
Answers
And dimes are 0.10 cents as quarters = 0.25 cents
Let’s make d = dime, q = quarter
d + q = 22
0.10d + 0.25q = 4.00
Let’s use substitution
d + q = 22, get d or q by itself
d = 22 - q (plug into second equation)
0.10(22-q) + 0.25q = 4
2.2 - 0.10q + 0.25q = 4
2.2 + 0.15q = 4
0.15q = 1.8, q = 12
Since there are 12 quarters you know there are 10 dimes (22 in total)
Solution: 10 dimes, 12 quarters
Tina sells lampshades for $7 each and paper lanterns for $4 each at a one-day craft fair. She sells k lampshades and (k + 4) paper lanterns. The expression 7k + 4(k + 4) represents Tina’s total sales. Select all the equivalent expressions for Tina’s total sales at the fair
7k + 4k + 4
7k + 4k + 4
11k + 16
11k + 16
7k + 4k + 16
7k + 4k + 16
8k + 16
8k + 16
11k + 4
Answers
Answer: 11k + 16 and 7k + 4k + 16
Step-by-step explanation: if we distribute the 4 first we get
7k+4k+16
we can aslo combine the k's to get
11k+16
hope this is helpful (^_^)
Which inequality is equivalent to −<7 - y < 7 ?
Answers
Answer: you didn't provide anything for us to answer
Step-by-step explanation:
Find the area of the figure
Answers
Answer: 1920 i think
Step-by-step explanation:
Which of the following represents an equation? *
a. 3x + 13 - 5
b. 3 + 11 = 14
c. x + 14
d. x/5 - 2
Answers
15 x b = 60 explanation
Answers
Answer:
x = 4
( if you need a better explanation ask me and i'll give you a different one) :)
Step-by-step explanation:
15 x b = 60
15 x b divided by 15 = 60 divided by 15 to get the 15 from one side to the other
x=4
The data set shows the ages of everyone in a dance class.
5, 24, 24, 24, 24, 24, 24, 25, 25
Select the statement that correctly describes the data.
A. The typical value is 5 because it is the minimum.
B. The typical value is 9 because that is the total number of people.
C. The typical value is 24. Most values are close to 24, except 5, which is an extreme value.
D. The typical value is 25 because it is the maximum.
Answers
C because the most shown value is 24
I need the answer to the Problem RIGHT NOW
Answers
Find the x and y intercept of 8x+10y=15. NO LINK TO ANSWER PLEASE TYPE
Answers
Answer:
x intercept: 15/8 and yintercerpt is 3/2
Step-by-step explanation:
to find y intercept you have to put equation in standard form.
10y=-8x+15
y=--4/5x+3/2
x intercept is when y=0, so we plug in 0
0=-4/5x+3/2
4/5x=3/2
x=15/8
Oliver interviewed 30% of the 9th grade class and 70% of the 10th grade class at his school. Jenny interviewed 75% of the 9th grade class and 25% of the 10th grade class at the same school. Oliver interviewed a total of 176 students and Jenny interviewed 140 students.
How many more 10th graders than 9th graders were interviewed?
A 36
B 80
C 12
D 200
Answers
Answer:
A. 36
Step-by-step explanation:
We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given
176 - 140 = 36
This is how we came to the answer:
We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.
While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny
Oliver's Interviewees
10-graders
Firstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
70% of 176 =
Cross multiply
123.2 were 10-graders interviewed by Oliver
9th-graders
Now, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
30% of 176 =
Cross multiply
52.8 were 9th-graders interviewed by Oliver
Jenny's Interviewees
9th-graders
Firstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;
75% of 140 =
Cross multiply
105 students were 9th-graders interviewed by Jenney.
10th-graders
Now, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;
25% of 140 =
Cross multiply
35 students were 10th-graders interviewed by Jenney.
Total calculation
Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;
Oliver's 9th-grade = 52.8
Jenny's 9th-grade = 105
105 + 52.8 = 157.8
Oliver's 10th-grade = 123.2
Jenny's 10th-grade = 35
123.2 + 35 = 158.2
Total calculation: 158. 2 - 157.8 = 0.4
Therefore, there are 36 more 10th than 9th.
For more information, visit: brainly.com/question/23490909
Jada saw a music video that her favorite artist recently posted online. The equation v(t)=320⋅4t represents the number of views v of the video, t days since Jada saw the video.
Part A: Find v(−2).
Answers
Answer:
v(-2) = 20
Step-by-step explanation:
The number of viewers, in t days after Jada saw the video, is given by:
[tex]v(t) = 320*(4)^{t}[/tex]
Find v(−2).
This is v when [tex]t = -2[/tex]. So
[tex]v(-2) = 320*(4)^{-2} = \frac{320}{4^2} = \frac{320}{16} = 20[/tex]
So
v(-2) = 20
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Answers
Answer:
4:7 and 4:49
Step-by-step explanation:
P=s+s+s
A=S×S
please help me with it and dont just put random letters cause i dont know why u do it its not like u can buy a house with these points lol
Answers
Answer:
v=432cm
sA=144cm
Step-by-step explanation:
1)))
v=w*d*h
v=3*9*16
v=432cm
2)))
sA=h*w
sA=16*9
sA=144cm
Answer:
V = 432 cm^3
SA = 438 cm^2
Step-by-step explanation:
The volume of a rectangular prism is represented by the formula:
V = lwh
Where V is the volume, l is the length, w is the width, and h is the height.
You can substitute the values given:
V = 3 * 9 * 16
V = 432 cm^3
The surface area of a rectangular prism can represented by the formula:
SA = 2(lw + wh + lh)
Where SA is the surface area, l is the length, w is the width, and h is the height. You can substitute the given values:
SA = 2(3 * 9 + 3 * 16 + 9 * 16)
SA = 2(27 + 48 + 144)
SA = 2(219)
SA = 438 cm^2
A running track has two semi-circular ends with radius 24m and two straights of length 85.9m as shown.
Calculate the total area of the track rounded to 1 DP.
Answers
Explanation:
Explanation:
85.9 x 48 + 3.14 x 24^2
= 4123.2 + 1808.64
= 5931.8m^2
What is 4^4 in algerbra mathematics?
Answers
Answer:
256
Step-by-step explanation:
4 to the exponent of 4 = 256
Here is a list of ages (years) of children in a room:
3, 3, 4, 4, 7, 5, 9
State the median.
Answers
Where can I find I ready answers? specifically math.
Answers
Answer: you could problem look in help.k12
Step-by-step explanation:
Answer:
here on brainly it will answer you ask your question and it will answer it
Hexagon
apothem = 15
side = 17.3
Find the area of this regular polygon. (Round to one decimal spot if necessary)
Answers
Answer:
778.5
Step-by-step explanation:
Area of any regular polygon = ( apothem * side length * number of sides ) divided by 2
Given information:
Apothem = 15
Side length = 17.3
Polygon Type = Hexagon ( its important to note that a hexagon has 6 sides )
* Plug in the given values into the formula *
Area = [tex]\frac{15*17.3*6}{2}[/tex]
15 * 17 = 259.5
259.5*6=1557
[tex]\frac{1557}{2} =778.5[/tex]
Hence, area = 778.5 square units
Answer:
778.5
Step-by-step explanation:
graph a
graph b
graph c
Answers
Answer:
c the graph c is the answer