find the angle between vectors a =(1,2) and b = (1,-1/2). Brainliest for correct answer. Look at photo.
Answers
Answer:
90°
Step-by-step explanation:
The angle between the vectors can be found any of several ways. Here, we observe that the segments from the origin to the two points are at right angles to each other. (Their slopes are opposite reciprocals.) Hence the angle between the vectors is 90°.
__
The slope to point 'a' is y/x = 2/1 = 2.
The slope to point 'b' is y/x = (-1/2)/1 = -1/2.
The product of these slopes is (2)(-1/2) = -1, indicating the vectors are perpendicular. The angle between them is 90°.
__
We can also use the trig formula for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangents are the slopes, calculated above, so we have ...
tan(α -β) = (2 -(-1/2))/(1 +(2)(-1/2)) = (5/2)/0 = undefined
The tangent is undefined for angles that are odd multiples of 90°. The angle between the vectors is 90°.
Related Questions
Which pair of segments must be parallel?
HELPP
Answers
Answer:
AB and GH
Step-by-step explanation:
Calculation of slope of each segment
AB = -1/4CD = -5/6EF = -5/5 = -1GH = -2/8 = -1/4Parallel lines have the same slope.
⇒ AB and GH are the pair of segments which are parallel
If George went camping 15 times, how could you figure out how many times Dave went camping?
Answers
Answer:
no you couldnt
Step-by-step explanation:
A Triangle has a perimeter of 80 feet. If the three sides of the triangle are, n, 3n + 7, and 3n + 3, what is the length of each side?
Answers
Answer:
Step-by-step explanation:
Givens
Perimeter = 80 feet
side 1 = n
side 2 = 3n + 7
side 3 = 3n + 3
Formula
Side 1 + side 2 + side 3 = 80
Solution
Substitute the length for each side into the equation
n + 3n + 7 + 3n + 3 = 80
7n +10 = 80 Subtract 10 from both sides
7n + 10 - 10 = 80 - 10 Combine
7x = 70 Divide by 7
7x/7 = 70/7 Combine
x = 10
Answer
Side 1 = n = 10
Side 2 = 3n + 7 = 3*10 + 7 = 37
Side 3 = 3n + 3 = 30 + 3 = 33
F(X)=-2x²+12x-13 alguien me ayuda por favor
Answers
Answer:
x = 3 ± [tex]\frac{\sqrt{10} }{-2}[/tex]
Step-by-step explanation:
To find the roots of this equation, we can either use facotring or the quadratic formula. Because this equation isn't facotrable, we will use the quadratic formula to solve it
-2[tex]x^2[/tex] + 12x - 13 = 0
x = [tex]\frac{-12 +- \sqrt{12^2 - 4(-13)(-2)} }{-4}[/tex]
x = [tex]\frac{-12 +- \sqrt{144-104} }{-4}[/tex]
x = [tex]-\frac{-12 +- \sqrt{40} }{-4}[/tex]
x = 3 ± [tex]\frac{\sqrt{10} }{-2}[/tex]
Are you the person you want to be?
i know it's not math but please answer
Answers
Answer:
yes because no one is perfect than god.
Which of the following below is the equation of the quadratic function f(x) with x-intercepts of 0 and -3 for which f(-1)=-2. A. f(x)=-x(x+3), B. f(x)=x(x+3), C. f(x)= x+(x+3), D. f(x)= x(x-3)
Answers
✿————✦————✿
Answer: D
✿————✦————✿
Prove it Step by Step. Parallelogram Based Question. I will make Brainelist + 50 points
Answers
Answer:
(i) ABCD = ABEC
(ii) As BF || AC then BE || AC, so CE = AB.
As AB = DC, then DC = CE
(iii) ΔDGE ≠ ΔCFE so I assume there is a typing error in the question, as
ΔDGC = ΔCFE
As DC = CE (as proved in (i)), AC || BE and DG ⊥ AC and CF ⊥ BE then ΔDGC = ΔCFE
(iv) As DG ⊥ AC and CF ⊥ BE, and AC || BE, then DG || CF
(v) As AC || BE then GF || DC. As DG || CF (as proved in (iv)), then DGFC is a parallelogram.
Complete the table below.
ਪੁ = 22 y = 21
0
0
1
1
1
1
2
Answers
Answer:
20.1168
Step-by-step explanation:
Step-by-step explanation:
what is the mean of 13,5,11,8,14,15
Answers
Answer:
11
Step-by-step explanation:
The mean is the average. To find the average, add up all the numbers, then divide by the amount of numbers there are. 13 + 5 + 11 + 8 + 14 + 15 = 66. There are 6 numbers. 66 divided by 6 = 11.
Answer:
11 is your mean
The area of Sharon's garden is 40
sq ft. List all the possible lengths
and widths of Sharon's garden.
Answers
Answer:
1 and 40
2 and 20
4 and 10
5 and 8
Step-by-step explanation:
need to know the factors of 40
factors of are 1, 2, 4, 5, 8, 10, 20 and 40
possible lengths and widths would be
1 and 40
2 and 20
4 and 10
5 and 8
A rock is dropped from the top of a building and hits the ground at a velocity of −72ft/sec. If the acceleration due to gravity is −32ft/sec^2, what is the height of the building?
Answers
What is the least common multiple of 324 and 245?
Answers
the lcm would be 79380
Step-by-step explanation:
5×7×7
2×2
×3×3×3×3
muliply all the 3 numbers and then you get 79380
Determine the value(s) for which the rational expression 10w−52w2+11w+5 is undefined. If there's more than one value, list them separated by a comma, e.g. w=2,3.
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The value(s) for which the rational expression (10w−5)/(2w²+11w+5) is undefined is -1/2 and -5.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value for which the function will not be defined is the value of w which will make the denominator of the rational function zero. This values can be found by factorizing the denominator of the function. Therefore,
2w² + 11w + 5 = 0
2w² + 10w + 1w + 5 = 0
2w(w+5) + 1(w+5) = 0
(2w+1)(w+5) = 0
w = -1/2 , -5
Hence, the value(s) for which the rational expression (10w−5)/(2w²+11w+5) is undefined is -1/2 and -5.
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ1
Explain why the amount of money in the account at the end of the first year is given by the formula with n as the exponent: P = P∨0 (1 + r/n)^n
Answers
Answer:
This is the formula you use for someone investing in money. The formula is actually supposed to be: A=P(1+).
A is the total amount, P is the principal amount (the initial; original), r is percent (%) rate in decimal form, n is frequency, and t is the amount of years.
Step-by-step explanation:
Let R be the shaded region bounded by the graphs of y = e^x, y = -1, x = 1, and the y-axis. R is the base of a solid with cross sections perpendicular to the x-axis as squares. Find the volume of the solid.
Answers
Answer:
get a graphing caculator and type the numbers in the rectangle and see what you get
Step-by-step explanation:
based on sample 2, how many students from the entire student population would prefer not to start at 7:45 am
Answers
Answer:
270
Step-by-step explanation:
from web
f Daria repeats the experiment 50 more times, how many of those times should she expect to pull a yellow marble?
Answers
Answer:
it matters how many colors are there
Solve for x please :)
Answers
Answer:
see explanation
Step-by-step explanation:
look photo
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The given pair of angles form linear pair, therefore their sum is equal to 180°
that is :
[tex]\qquad \sf \dashrightarrow \:2(x - 26) + 3x + 2 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \:2x - 52 + 3x + 2 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \:5x - 50 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \:5x = 230[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 46 \degree[/tex]
Have a great day ~
HELP PLEASEEEEEEEEEEE
Answers
Answer:
the numbee from left to right :
-1.5
-0.25
0.75
1.25
2.25
Answer:
-3/2, -15%, 0.80, 143%, 2 1/4
Step-by-step explanation:
Convert the fractions into decimals:
2 1/4 = 2.25
-15% = -0.15
143% = 1.43
-3/2 = -1.5
0.80 = 0.80
The order from least to greatest is -3/2, -15%, 0.80, 143%, 2 1/4
Hope this helps :)
Easy math 2 pictures
Answers
Answer:
Problem #6: 31.8
Step-by-step explanation: all you have to do is plug in 31 and 7 into the phythangorean therom equation so 31 squared + 7 squared and you will end up getting 1010 but then you have to find the square root of 1010 which equals 31.78049... so then you round your answer
What is the product of the two binomials below?
(3A + 4B)(3A - 4B)
A. 9A^2 - 16B^2
B. 2A^2 - 4B^2
C. 3A^2 + 4B^2
D. 9A^2 + 16B^2
Answers
Answer:
A. 9A² - 16B²
Step-by-step explanation:
(3A + 4B)(3A - 4B)
Distribute:
3A(3A - 4B)
4B(3A - 4B)
Multiply:
3A(3A - 4B)
3A(3A) + 3A(-4B)
9A² - 12AB
4B(3A - 4B)
4B(3A) + 4B(-4B)
12AB - 16B²
Combine like terms:
9A² - 12AB + 12AB - 16B² <== -12AB + 12AB cancels out
9A² - 16B²
Therefore, our final answer is 9A² - 16B²
Hope this helps!
Which prism has the greatest volume?
Show Your Work
Sin
12 in
7
85
O ant
Answers
Answer:
D, the last prism, with a volume of 512cm^3
Step-by-step explanation:
A: 5 x 7 x 12 = 420
B: 8.5 x 11 x 3 = 280.5
C: 3 x 13 x 11 = 429
D: 8 x 8 x 8 = 512
512 is the biggest. D.
Please let me know if I mis-read any of the numbers - it's quite hard to see.
If you need further explanation, let me know!
- profparis
Jonathan wraps a gift box in the shape of a triangular pyramid. The figure below shows a net for the gift boxIf all the triangles are equilateral, how much wrapping paper did he use, in square meters
Answers
Jonathan will need a warping paper of 420.78m^2
Data;
slant height = 12mlength of sides = 10.39mSurface Area of an Equilateral TriangleTo find the amount of warping paper used, we can use the formula of surface area of an equilateral triangle since the triangle used here is an equilateral triangle.
[tex]Surface Area = base area + \frac{1}{2}(perimeter * slant height)[/tex]
Let's calculate the base area and perimeter of the triangle.
base area of an equilateral triangle is given as
[tex]B.A = \frac{\sqrt{3} }{4} a^2[/tex]
a = length of the sideLet's substitute the value and solve
[tex]B.A = \frac{\sqrt{3} }{4} a^2\\B.A = \frac{\sqrt{3} }{4}*10.39^2\\B.A = 46.74m^2[/tex]
The base area is 46.74m^2
Let's calculate the perimeter of the triangle
[tex]P = 3a\\[/tex]
Substitute the value into the equation and solve
[tex]P = 3a \\P = 3 * 10.39\\P = 31.17m^2[/tex]
We can proceed to substitute the values of the base area and perimeter of the triangle into the formula of the surface area of an equilateral triangle.
[tex]S.A = base area + \frac{1}{2}(perimeter * slant height)\\S.A = 46.74 + \frac{1}{2}(31.17*12)\\S.A = 46.74 + 374.04\\S.A = 420.78m^2[/tex]
The surface area of the equilateral triangle is 420.78m^2
Jonathan will need a warping paper of 420.78m^2
Learn more on surface area of an equilateral triangle here;
https://brainly.com/question/14886715
Answer:c
Step-by-step explanation:
What number is in the tenth's place? 41.53
Answers
Answer: The number in the tenth's place is 5
Step-by-step explanation:
There is no ones place in decimals
41.53
the tenth's place come first then the hundredth's and so on.
Answer:
5
Step-by-step explanation:
4 = tens
1 = ones
.
5 = tenths
3 = hundredths
can someone please help me with this
Answers
Answer:
"4 or less, let it rest. 5 or more, raise the score."
Step-by-step explanation:
1) 5.57, 5.62, 5.59
2) 2.349, 2.352, 2.346, 2.354
3)
0.7
0.3
1.5
3.4
4)
3.74
0.93
0.33
1.56
I hope this helps! Have a lovely day!! :)
(I would appreciate brainliest!!)
Need some math help thanks in advance!
Answers
Answer:
x = 10
y = 6
Step-by-step explanation:
Vertical Angle Theorem: When two straight lines intersect, the opposite vertical angles are always equal to each other.
⇒ m∠1 = m∠3 and m∠2 = m∠4
⇒ m∠1 = m∠3
⇒ 10x = 100
⇒ x = 10
Linear pair: Two adjacent angles which sum to 180°.
⇒ m∠1 + m∠2 = 180°
⇒ m∠3 + m∠4 = 180°
⇒ 100 + 10y + 20 = 180
⇒ 120 + 10y = 180
⇒ 10y = 60
⇒ y = 6
Please help with give brainliest
Answers
Answer:
9/20
Step-by-step explanation:
1/4=.25
1/5=.20
add .25 and .20 and you get .45
convert .45 into a fraction in which you can just use the fractions provided and all you got to do is match the decimal on a calculator
Darron wants to send a package to his mother for her birthday. At Box-r-us, they have boxes that come in three different lengths, four different widths and five different heights. At ship to go they have have boxes that comes in six different lengths two different widths and seven different heights. The number of boxes that box r us has is ——— ship to go
Answers
Answer:
less than
Step-by-step explanation:
At Box-r-us, they have 3*4*5=60 different boxes.
At Ship to go they have 6*2*7=84 different boxes
Therefore the number of boxes that box r us has is less than the number of boxes that Ship to go has.
the equation y=|x|+1 is graphed and then transformed. the transformation is on the graph below. which of the following describes this transformation.
a. up 1 unit
b. down 1 unit
c. right 2 units, down 1 unit
d. right 2 units, down 2 units
Answers
Answer:
a. up 1 unit
Step-by-step explanation:
f(x) + k will translate the function up k units
f(x) - k will translate the function down k units
f(x-h) will translate the function right h units
f(x+h) will translate the function left h units
the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 58 in, find its length and width
Answers
Answer:
Length: 17 in, Width: 12 in
Step-by-step explanation:
Let l=length and w=width
l=w+5
2(w+5)+2w=58
4w=48
w=12, l=17
Answer:
Length = 17 inchesWidth = 12 inches⠀
Step-by-step explanation:
⠀
As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 58 in and we are to find the length and width of the rectangle. So,
⠀
Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .
⠀
Now, According to the Question :
⠀
[tex]{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 58 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{2 ( 2x + 5 )= 58 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ 4x + 10= 58 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ 4x = 58 - 10}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ 4x = 48}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ x = \dfrac{48}{4} }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 12}} }}} }\: \: \bigstar[/tex]
⠀
Therefore,
The width of the rectangle is 12 inches .⠀
Now, We are to find the length of the rectangle:
[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 12 + 5 }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 17}}}}}[/tex]
⠀
Therefore,
The length of the rectangle is 17 inches .⠀