The components of a vector are Ax = –10 units and Ay = 8 units. What angle does this vector make with the positive x axis? g
Answers
Answer:
This vector make an angle of 141° with the positive x axis
Step-by-step explanation:
Refer the attached figure
Components of vector :
[tex]A_x=-10 \\A_y = 8[/tex]
We are supposed to find What angle does this vector make with the positive x axis
[tex]tan \theta =\frac{A_y}{A_x}\\tan \theta =\frac{8}{-10}\\\theta =tan^{-1}(\frac{8}{-10})\\\theta =tan^{-1}(\frac{8}{-10})=-38.65^{\circ}[/tex]
Now ,
[tex]\alpha = 180-38.65=141.35^{\circ}[/tex]
So, this vector make an angle of 141° with the positive x axis
Related Questions
In ΔFGH, the measure of ∠H=90°, the measure of ∠F=18°, and GH = 9.4 feet. Find the length of HF to the nearest tenth of a foot.
Answers
Answer:
28.9
Step-by-step explanation:
tan (18) = 9.4/x times x
x times tan(18) = 9.4 / tan(18)
tan(18)
crosses out.
On a calculator do 9.4/
tan(18).
x = 28.9
Write −1.05 as a mixed number in simplest form.
Answers
Answer:
-1 1/20.
Step-by-step explanation:
0.05 = 5/100
= 1/20
So -1.05 = -1 1/20.
Use the number line to answer the question. Each tick represents 1 unit.
Which of the following points are neither negative nor positive? Select all that apply.
H
M
L
J
P
K
N
Please help
Answers
Answer:
M is niether Negitive or positive
Step-by-step explanation:
Because it is on the zero
mark me brainliest plz
Answer:
Answer:
M is niether Negitive or positive
Step-by-step explanation:
Because it is on the zero
Step-by-step explanation:
The scatterplot and trend line show a positive correlation between advertising costs and sales.
Which two points can be used to find the slope of the trend line?
Point 1: ?
Point 2: ?
Answers
Answer:
Point 1: (6.4, 117)
Point 2: (6.6, 120)
Step-by-step explanation:
Answer:
Point 1: (6.4, 117)
Point 2: (6.6, 120)
Step-by-step explanation:
Suppose the manager of your local McDonalds tracks the
monthly sales of their new McBurger, Mini McBurger, and
Choco-Latte Shake. The data is listed below.
For January through December, the sales are as follows.
McBurger: 46, 63, 58, 77, 81, 102, 183, 197, 125, 111, 83, 218.
Mini McBurger: 23, 41, 35, 44, 62, 88, 95, 99, 108, 111, 98, 63.
Choco-Latte Shake: 88, 46, 39, 52, 67, 99, 189, 238, 188, 97,
51, 12
Create a matrix to display the data.
Answers
Answer:
Step-by-step explanation:
The question says "Create a matrix to display the data".
The are 3 products:
- McBurger - Mini McBurger - ChocoLatte Shake
The figures represent monthly sales for each product, in a given year. This means 12 figures for each product - represent the 12 months of the year.
These figures will appear on the matrix, with the horizontal arrangement representing each month of the year and the vertical arrangement representing each product's sales.
In that light, you'll have a 12 by 3 matrix.
[tex]\left[\begin{array}{ccc}46&23&88\\63&41&46\\58&35&39\\77&44&52\\81&62&67\\102&88&99\\183&95&189\\197&99&238\\125&108&188\\111&111&97\\83&98&51\\218&63&12\end{array}\right] 12 by 3 matrix[/tex]The first row represents sales in January, the second row represents sales in February, the third row represents sales in March, the fourth row represents sales in April, etcetera.
The first column represents sale of McBurger, the second column represents sale of Mini McBurger, the third column represents sale of Choco-Latte Shake.
what is the Quotient: 3/4divided1/4
Answers
Answer:
3
Step-by-step explanation:
Question 1 of 3 NE A scale drawing of a fishing boat has a scale of 1 cmn to 2 meters. If the length of the fishing boat is 6 cm on the scale drawing, what is the actual length of the fishing boat?
Answers
Answer:
12 meters
Step-by-step explanation:
Given
[tex]Scale= 1cm:2m[/tex]
Required
Determine the measurement when the scale reads 6cm
Represent this scale with x;
Such that:
[tex]Scale = 6cm:x[/tex]
Equate
[tex]Scale= 1cm:2m[/tex] and [tex]Scale = 6cm:x[/tex]
[tex]1cm:2m = 6cm:x[/tex]
Express as fraction
[tex]\frac{1cm}{2m} = \frac{6cm}{x}[/tex]
Cross Multiply
[tex]x * 1cm = 6cm * 2m[/tex]
[tex]x * 1 = 6 * 2m[/tex]
[tex]x = 6 * 2m[/tex]
[tex]x = 12m[/tex]
A marathon runner travels 9/2 miles in 1/2 hour what is the unit rate
Answers
Answer:
9/2:1/2
Step-by-step explanation:Here's the answer
Need help like ASAP
Answers
Whatbis the slope of a line that is perpendicular to the line y= 2x-6? A. -2
B. 2 C. 1/6 D. -1/2
Answers
Answer:
D. -1/2
Step-by-step explanation:
When a line is perpendicular to another line the slope will be the exact opposite. For example line A = y = 3x + 5 the line perpendicular to it will be -1/3x.
So -1/2 is the slope of your perpendicular line.
What is |-24| + |13| =?
Answers
Answer:
37
Step-by-step explanation:
just add the two numbers like they are not negative.
I need help with question 11 pleaseeeeeee
Answers
One of the legs is its base and the other is its height. (The longest side is the hypotenuse!)
The area of the triangular base is bh/2 = (9)(12) / 2. There are two of these.
There are also three rectangular sides on the prism.
Their dimensions are 9 by 20, 12 by 20, and 15 by 20.
You can do the arithmetic from here.
And the answer is 828cm ^2
Answer:
828 cubic units
Step-by-step explanation:
I need help with this one
Answers
Answer:
The first three
Step-by-step explanation:
A candle is in the shape of a square pyramid. Its height is 5 cm and its slant height is 8 cm.
To the nearest tenth, what is the base length of the candle?
A. 5.9 cm
B. 9.6 cm
C. 12.5 cm
D. 19.2 cm
Answers
Answer:
it is 5.9 A
Step-by-step explanation:
Answer:
The answer is C) 12.5
Step-by-step explanation:
I took the test :)
A square is removed from the right hand corner
Answers
Answer:
C im pretty sure
Step-by-step explanation:
Because the square taken out has a 4x4 area which is 16 and the area of the whole square used to be 14x14 which is 196 and if u subtract 16 from that you get 180
Read 3 integer numbers from the user; these numbers represent the lengths of 3 straight lines. From the 3 lengths, determine whether a triangle can be formed with the corresponding lines. If it is possible to form a triangle, determine whether the triangle is a right triangle or not. The rules to be used are: 1. To form a triangle where all lines’ ends meet (form vertices), the sum of the lengths of two sides must be greater than the length of the third side. This short video illustrates this concept: How to determine if the three sides make up a triangle. 2. Per the Pythagorean theorem: in a straight triangle, the square of the length of the longest side (the hypotenuse) is equal to the sum of the squares of the lengths of the other two sides. 3. The user can enter the lengths of each line in any order, i.e.: you may not assume that the first length is the longest or the smallest or the middle value.
Answers
Answer:
Written in Python
print("Enter three sides of a triangle: ")
length = []
for i in range(0,3):
inp = int(input(""))
length.append(inp)
length.sort()
if length[1]+length[2] > length[0] and length[0] + length[2] > length[1] and length[0] + length[1] > length[2]:
print("Triangle")
if length[2]**2 == length[0]**2 + length[1] **2:
print("Right Angled")
else:
print("Not Right Angled")
else:
print("Not Triangle")
Step-by-step explanation:
This line prompts user for sides of triangle
print("Enter three sides of a triangle: ")
This line declares an empty list
length = []
The following iteration gets user input
for i in range(0,3):
inp = int(input(""))
length.append(inp)
This line sorts user input
length.sort()
The following if condition checks if user input is triangle
if length[1]+length[2] > length[0] and length[0] + length[2] > length[1] and length[0] + length[1] > length[2]:
The following is executed is the if condition is true
print("Triangle")
The following if condition checks if user input forms a right angled triangle
if length[2]**2 == length[0]**2 + length[1] **2:
print("Right Angled")
else:
print("Not Right Angled")
This is executed if user input is not a triangle
else:
print("Not Triangle")
-6(x+4) what this answer simplified.
Answers
Answer:
-6x-24
Step-by-step explanation:
all you have to do is multiply, so -6*x and -6*4 and since -24 is a negative the equation is going to be subtracting
Answer:
Step-by-step explanation:
PLEASE HELP!!! Chloe is working two summer jobs, landscaping and clearing tables. She must work no less than 12 hours altogether between both jobs in a given week. Write an inequality that would represent the possible values for the number of hours landscaping, l and the number of hours clearing tables, c, that Chloe can work in a given week.
Answers
Answer:
got u homie
Step-by-step explanation:
Answer:
l +c _> 12
Step-by-step explanation:
Suppose two trains leave a station at the same time, traveling in opposite directions. Train B travels 10 mph faster than Train A. In 3.5 hours, the trains are 336 miles apart. Find the speed of each train.
Answers
Answer:
B
Step-by-step explanation:
Train B is faster
I need help please and thank you in advance
Answers
A crew of highway workers paved1/4 mile in1//6 a hour. If they work at the same rate, how much will they pave in one hour?
Answers
Answer:
1 1/2 mile
Step-by-step explanation:
In 1 hour they pave 6 times more what they paved in 1/6 of an hour.
6 * 1/4 mile = 6/4 mile = 3/2 mile = 1 1/2 mile
Barry used a number line to simplify a numerical expression on a math test.
Which number did Barry add to get a result of 4 on the numerical expression he simplified?
A: 4
B:-14
C:-6
D:14
Answers
Answer:
i think its 14 if the number starts all the way at -10 youd have to add 14 to get to four
Help me with this question pleasee
Answers
Answer:
√23 = a
Step-by-step explanation:
/ab/²= /ac/²+/bc/² (Pythagoras theorem)
12² = a² +11²
144 = a² + 121
144 - 121 = a²
23 = a²
√23 = a
4x+2 = 2(2x+1) what is the answer?
Answers
Answer: 0=0
Step-by-step explanation: Simplify
2+2=4 because 2 fingers and then another 2 fingers
Answers
Answer:
yes
Step-by-step explanation:
Answer:
yes? That's right. ummmm lol
please help I will give a lot of points
btw its 2 questions
Answers
Answer:
please wait two mins I will give you the answer, but which question 2 or 3
Sharon went bowling with her friends. She paid $3 to rent
her shoes and then $3.75 for each game (x) of bowling. She
spent a total of $18. How many games did she bowl?
WRITE YOUR EQUATION:
SOLVE:
SOLUTION:
Answers
Answer:
3 + 3.75x=18
subtract 3 from both sides
3.75x=15
divide by 3.75 on both sides
x=4
Step-by-step explanation:
write an equation in standard form for the line that is parellel to the graph of -8x=5-4y and has a y-intercept -0.5
A x+.05=0.25
B 10x-5y=2
C 4x-2y=1
D 2x-y=1
Answers
9514 1404 393
Answer:
C 4x -2y = 1
Step-by-step explanation:
The y-intercept of the offered choices can be found by dividing the constant by the y-coefficient.
A: not in standard form (coefficients are not integers)
B: 2/-5 = -2/5 . . . not -1/2
C: 1/-2 = -1/2 . . . a good candidate
D: 1/-1 = -1 . . . not -1/2
My allowance has increased $13 a week and is now $42. What was my old allowance?
Answers
Answer:
29
Step-by-step explanation:
42-13=29
i will KISS U ON THE MOUTH IF U HURRY PLS HELP find the derivative dy/dx for y=(x^2+4x) / (x^3-5)
Answers
Use the quotient rule:
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(x^3-5)\frac{\mathrm d(x^2+4x)}{\mathrm dx}-(x^2+4x)\frac{\mathrm d(x^3-5)}{\mathrm dx}}{(x^3-5)^2}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(2x+4)(x^3-5)-3x^2(x^2-4x)}{(x^3-5)^2}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{x^4 - 16 x^3 + 10 x + 20}{(x^3-5)^2}[/tex]