Find the angle between the given vectors to the nearest tenth of a degree.
u = <-5, 8>, v = <-4, 8>
2.7°
-7.3°
5.4°
15.4°
Answers
9514 1404 393
Answer:
(c) 5.4°
Step-by-step explanation:
We can simply determine the difference between the angles of the vectors:
arctan(8/-5) -arctan(8/-4) = 122.005° -116.565° = 5.440°
The angle between the vectors is about 5.4°.
__
Alternate solutions
1) We could also determine the angle of their ratio.
u/v = (-5 +8i)/(-4 +8i) = (-5 +8i)(-4 -8i)/(4² +8²) = (84 +8i)/80 = 1.05 +0.1i
angle = arctan(0.1/1.05) = 5.440°
__
2) Tan(a-b) = (tan(a)+tan(b))/(1 -tan(a)(tan(b))
tan(∠u -∠v) = ((tan(∠u) -tan(∠v))/(1 +tan(∠u)tan(∠v))
= (-1.6 -(-2))/(1 +(-1.6)(-2)) = 0.4/4.2
∠u -∠v = arctan(2/21) = 5.440°
Related Questions
Use the given set to determine the solution for each equation.
13y + 8 = 125 {1, 6, 9, 15}
y = _________
Answers
Which of the following are in the correct order from least to greatest?
7л
2,6,
80°, 4
4,38
8 7
O 38°, 80°, 4 , 6 , 2x
7x
38°, 4
, 80°, 6. 2x
37x
O 2x, 38°, 80°, 4, 6
Answers
Answer:
2,6,10,14,18,22,26,30
The Lee family made a 9-pound turkey for dinner. If each person will eat 13 of a pound, how many people will it take to finish the turkey?
Answers
Answer: 27people
Step-by-step explanation:
The turkey weighs 9 pounds.
Each member of the family will eat 1/3 of a pound.
If this is the case, the number of people that it would take to finish the turkey will be:
= Weight of turkey / Pounds eaten per person
= 9 ÷ 1/3
= 9 * 3/1
= 27people
What is the value of x rounded to the nearest hundredth?
Question 4 options:
67
94
73
59
Answers
Answer:
73 could be wrong
Step-by-step explanation:
55x55+48x48=5329
✓5329
73
help please im using my all out attack
Answers
you have a calculator on your tabs .,.
Answer:
Use fraction multiplication
Step-by-step explanation:
It isn't to hard just lok at some notes and don't let a calculaotr mess you up.
Add to the starting height or use slope, y-mx+b
9 4/5 - 1 2/3 please helpp
Answers
The answer is 8 2/15 yw :)
Answer:
[tex]8\frac{2}{15}[/tex]
Step-by-step explanation:
[tex]9\frac{4}{5} -1\frac{2}{3} \\\\\frac{49}{5} -\frac{5}{3} \\\\\frac{147}{15} -\frac{25}{15} \\\\\frac{122}{15} =8\frac{2}{15}[/tex]
Can anyone give me some horro and romance anime to watch?
Answers
Answer:
Haha....sure
Step-by-step explanation:
Quintessential Quintuplets
My Teen Romance Comedy
Kaguya sama Love is War
Rent a Gf
Rascal Does Not Dream of Bunny Girl
Your lie in April
(All romance btw)
Junji ito
Blood-c
Another
Parasyte
Boogiepop phantom
Corpse party
Deadman wonderland
Elfen lied
Gantz
Ghost hunt
Hell Girl
Hellsing
Mushi-shi
Paranoia Agent
Serial Experiment Lain
Yamishibai
Romance-
Fruits baskets
Kiss him not me
Kuzu no honkai
Snow White with red hair
Kimi no todoke
5 centimeters per second
Nisekoi
Monthly girls’ Nozaki-kun
Maid sama
Tamako love story
Golden time
My little monster
Honey and clover
Weathering with you
Orange
A pile of earth removed from an excavation is a cone measuring 6ft high and 30ft across its base. How many trips will it take to haul away the earth using a dump truck with a capacity of 125 cubic feet?
Answers
Answer: 14
Step-by-step explanation:
Given
Excavation cone measures
height [tex]h=6\ ft[/tex]
Diameter [tex]d=30\ ft[/tex]
Truck can dump [tex]125\ ft^3[/tex] at a time
The volume of a cone is
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Putting values
[tex]\Rightarrow V=\dfrac{1}{3}\times \pi\times 15^2\times 6\\\Rightarrow V=1413.9\approx 1414\ ft^3[/tex]
No of trips(N) required to accumulate this much volume is given by
[tex]\Rightarrow N=\dfrac{1414}{125}=13.3\approx 14[/tex]
Therefore, 14 trips are necessary to accumulate a cone of volume [tex]1414\ ft^3[/tex]
Can someone who is good in algebra help me with graphing the
inverse of the function represented by the graph
Answers
Answer:
To find the inverse, locate points on the graph. In this case, the plotted points are (4, -5) (5,-4) and (6,-1). To figure out the inverse, we just swap those around. (-5, 4) (-4, 5) and (-1, 6).
Some more points that you can plot are: (2, -1) (3, -4) and swap those around for (-1, 2) and (-4, 3).
Step-by-step explanation:
Jim has 32 coins in his possession.
Some are quarters and some are dimes.
The total amount for the coins is $4.85.
How many quarters does he have?
Answers
$1= four quarters
0.25+0.25+0.25+0.25+0.25+0.25+0.25+0.25+0.25+0.25+0.25+0.25+0.25+0.25 +0.25+0.25+0.25=$4.25 dollars worth of quarters
0.10+0.10+0.10+0.10+0.10+0.10=$0.60
4.25+0.60=4.85
Steffie makes a scale drawing for a crate with the demensions 15 inches long by 12 inches wide. Her scale factor is 1:3. Brian makes a scale drawing for steffie with the scale factor of 1:9. What is Brians dememsion?
Answers
Answer:
Dimensions → (5 inches × 4 inches)
Step-by-step explanation:
Scale factor used for the drawing by Steffie = [tex]\frac{1}{3}[/tex]
Since, scale factor = [tex]\frac{\text{Dimension of the drawing}}{\text{Actual dimension}}[/tex]
For Steffie,
Actual length of the crate = [tex]\frac{\text{Dimension of the drawing}}{\text{Scale factor}}[/tex]
= [tex]\frac{15}{\frac{1}{3}}[/tex]
= 45 inches
Actual width of the crate = [tex]\frac{12}{\frac{1}{3} }[/tex]
= 36 inches
Since Brian used the scale factor = [tex]\frac{1}{9}[/tex]
Length of the drawing = Actual length × Scale factor
= 45 × [tex]\frac{1}{9}[/tex]
= 5 inches
Width of the drawing = Actual width × Scale factor
= 36 × [tex]\frac{1}{9}[/tex]
= 4 inches
Therefore, dimensions of the drawing made by Brian are (5 inches × 4 inches)
1+1 ... Pls I need your help or I will lose my exam
Answers
Answer:
This is a very hard problem but after weeks of doing it i got 3
Step-by-step explanation:
Gilded Gifts Company hires employees to make handmade greeting cards. The manager is determining how the time spent training new employees affects their production of greeting cards. The scatter plot below shows how many greeting cards each employee made the past month and the number of hours of training the employee received. A line of best fit is drawn.
Complete the statements based on the scatter plot.
The slope of the line of best fit is
. This means that for every additional hour of training,
more greeting cards are expected to be made per month.
Without any training, an employee is expected to make
greeting cards per month.
If an employee has 70 hours of training, the employee is expected to make
greeting cards per month.
Answers
Answer:
I think its A
Step-by-step explanation:
a. The equation of the trend line is c=5x+100.
b. The equation of the trend line is c=-5x+100.
c. As the hours of training increase by 5, the greeting cards made increases by 25.
d. As the hours of training increase by 5, the greeting cards made decreases by 25.
Answer:
The slope of the line of best fit is 5.
Without any training, an employee is expected to make 100 greeting cards.
If an employee has 70 hours of training, the employee is expected to make 450 greeting cards per month.
Step-by-step explanation:
First, find the slope of the line of best fit by substituting any two points on the line into the slope formula. The following calculation uses (10,150) and (20,200).
So, the slope of the line of best fit is 5.
The y-intercept is the point at which the line crosses the y-axis or when x = 0. So, the y-intercept of the line of best fit is 100.
The equation of the line of best fit can be represented in slope-intercept form, where the slope, m, is 5 and the y-intercept, b, is 100.
A slope of 5 in this situation means that for every additional hour of training, 5 more greeting cards are expected to be made per month. The y-intercept is 100 when the number of hours of training is 0. So, without any training, an employee is expected to make 100 greeting cards.
To find the number of greeting cards an employee would produce after receiving 70 hours of training, substitute x = 70 into the equation for the line of best fit and solve for y.
So, if an employee has 70 hours of training, the employee is expected to make 450 greeting cards per month.
a universally accepted principle which does not require proof.
Answers
$480 is shared in the ratio 4:3:5
Answers
4+3+5=12
Now multiply the $480 into the ratios over the total ratios
4/12 x 480= $160
3/12 x 480= $120
5/12 x 480=$200
4 : 3 : 5
$180:$120:$200
6 shirts cost $240.84 find the cost of 1 shirt
Answers
Answer:
$40.14
Step-by-step explanation:
how many degrees is 4 radius
Answers
Answer:
4 radius is 229.18 degrees. ( I hope this was helpful) >;D
Simplify 41/4 to a mixed number
Answers
Answer:
10 1/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
41/4 = 10 1/4
Evaluate the expression.
I 9 I
Answers
Answer:
it's literally just 9
Step-by-step explanation:
Answer:
your answer would be 9
Step-by-step explanation:
y=-4x-3
y=-2x+1
x=?
y=?
Answers
Answer:
x = -2
y = 5
Step-by-step explanation:
y = -4x - 3
y = -2x + 1 Multiply this whole equation by -1
-1(y = -2x + 1) = -y = 2x - 1
y = -4x - 3
-y = 2x - 1
0 = -2x - 4
4 = -2x
x = -2
y = -4x - 3 (Plug in x)
y = -4(-2) - 3
y = 8 - 3
y = 5
Help!!! I don’t get this
Answers
S, sample space :
all the possible outcomes of an experiment
number × sampel space = 8
Answer :
D. HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
*answer can get from the list of sample space (in pic)
Answer :
A.
* answer can get from the final of tree diagram (in pic)
Ill Give brainliest To whoever can answer this please .ASAP . Thanks-Rin
Answers
Answer: The answer is c
Explanation:
A grocery store stocks different flavors of peppermint sticks in 15 jars. The number of sticks in each jar varies from 0 to 49. Suppose you are creating a histogram to represent the situation. A. Which axis should be labeledas the num ber of jars for each flavor? B. What are possible intervals that COULD be appropriate for the histogram?
Answers
Answer:
The correct answers are:
A. The Vertical axis should be labelled as the Number of Jars for Each Flavour
B. an interval of 7 could be appropriate
Step-by-step explanation:
A. The number of jars for each flavour is the dependent variable against the flavour type, which is the independent variable, hence it is displayed on the vertical axis to show the height of the bars.
B. since the number of sticks in a jar vary from 0 to 49, dividing 49 by 7 will give 7 without a remainder, hence, an interval of 7 will be ideal for the plot, nd a total of 7 bars will be plotted. Intervals are: 0-7, 8-14, 15-21, 22-28, 29-35, 36-42, 43-49.
Factorize :-
x^4-144y^4
Answers
Step-by-step explanation:
x⁴ - 144y⁴
= (x²)² - (12y²)²
= (x² - 12y²)(x² + 12y²)
Solving this system using substitution: 2x+6y=28/y=-5x
Answers
As when u replace the values x will give you negative 1 and when u replace negative 1 in y=-5x you get 5
can you guys help me???????
really want to know what to do :)
Answers
Answer and Step-by-step explanation:
In the picture:
The graph is shaded to the right, because everything that is above -2 is allowed, so the shaded region is what is allowed to be true in this inequality.
The line is dotted because the inequality is only using greater than or less than, and not greater than or equal to, or less than or equal to.
#teamtrees #PAW (Plant And Water)
your science homework is 32 total problems. you complete 75% of the total problems before lunch. How many problems did you complete before lunch?
Answers
Answer:
24 problems
Step-by-step explanation:
32 x 0.75 = 24
Answer:
24
Step-by-step explanation:
75% of 32 =24
Solve to the closest tenth: 3^x=58
Answers
Answer:
3^3.7
Step-by-step explanation:
big brain
Which of the following length can represent a right triangle?
5,12,15
4,5,6
8,10,12
20,21,29
Answers
Answer:
20, 21, 29
Step-by-step explanation:
h²= p²+b²
29² = 20²+ 21²
The cylindrical canister of a fire extinguisher has a diameter
Answers
Answer:
Ok but what is your question. Is that a question
Step-by-step explanation:
Answer:
I'm confused. Where is the question?
Step-by-step explanation:
