Answer:
The angle between the two vectors is 84.813°.
Step-by-step explanation:
Statement is incomplete. Complete form is presented below:
Let be (6,-3, 1) and (8, 9, -11) vector with same origin. Find the angle between the two vectors.
Let [tex]\vec u = \langle 6, -3, 1 \rangle[/tex] and [tex]\vec v = \langle 8,9,-11 \rangle[/tex], the angle between the two vectors is determined from definition of dot product:
[tex]\theta = \cos^{-1} \left(\frac{\vec u \,\bullet \,\vec v}{\|\vec u\|\cdot \|\vec v\|} \right)[/tex] (1)
Where:
[tex]\vec u[/tex], [tex]\vec v[/tex] - Vectors.
[tex]\|\vec u\|[/tex], [tex]\|\vec v\|[/tex] - Norms of each vector.
Note: The norm of a vector in rectangular form can be determined by either the Pythagorean Theorem or definition of Dot Product.
If we know that [tex]\vec u = \langle 6,-3,1 \rangle[/tex] and [tex]\vec v = \langle 8, 9,-11 \rangle[/tex], then the angle between the two vectors is:
[tex]\theta = \cos^{-1}\left[\frac{(6)\cdot (8) + (-3)\cdot (9) + (1)\cdot (-11)}{\sqrt{6^{2}+(-3)^{2}+1^{2}}\cdot \sqrt{8^{2}+9^{2}+(-11)^{2}}} \right][/tex]
[tex]\theta \approx 84.813^{\circ}[/tex]
The angle between the two vectors is 84.813°.
PLEASSE HELP!!! find the midpoint
Answer:
Option B --> (8, -5)
Step-by-step explanation:
To find the midpoint, we use the equation-
[tex]\frac{x1 + x2}{2} , \frac{y1 + y2}{2}[/tex]
The coordinates given were (8, -2) (8, -8)
x1= 8,
x2 = 8
y1 = -2
y2= -8
Substituting these values in the equation:-
[tex]\frac{8+ 8}{2} , \frac{-2 + -8}{2}[/tex]
[tex]\frac{16}{2} , \frac{-10}{2}[/tex]
Coordinates of midpoint will be ---> (8, -5)
Giving brainlist to whoever answers
Answer:
420
Step-by-step explanation:
volume = length x width x height
12 x 5 x 7 = 420
please help me do it I only have 3 min
Answer:
1 A. 1080°
1 B. 142°, 74°,74°, 125°, 125°
Step-by-step explanation:
1A.
The sum of the measure of the interior angle of a convex octagon is given as
S = (n-2)180°................. Equation 1
Where n = 8 sides
S = (8-2)180°
S = 6×180°
S = 1080°
1B.
The sum of the angle of a convex pentagon is given as
S = (5-2)180°
S = 3×180°
S = 540°
From the diagram,
2x+142+2x+(3x+14)+(3x+14) = 540
10x+170 = 540
10x = 540-170
10x = 370
x = 37°
Hence,
∠H = ∠K = 2(37) = 74°,
∠M = ∠L= (3×37)+14 = 111+14 = 125°
What data does the x-axis show?
25 points ***!!
Answer:
time in weeks
Step-by-step explanation:
Given that x = 5.7 m and θ = 43°, work out BC rounded to 3 SF
Answer:
BC ≈ 4.17
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos43° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{5.7}[/tex] ( multiply both sides by 5.7 )
5.7 × cos43° = BC , then
BC ≈ 4.17 ( to 3 sf )
Can someone plz help !!!
Answer:
3
Step-by-step explanation:
5 + 4 = 9
12 - 9 = 3
In order to find the missing length you will need to add up the given lengths then subtract that from the total perimeter.
HELP!! Choose the fraction pair that is equivalent.
A) 4/5 and 8/20
B) 3/4 and 4/3
C) 3/12 and 1/3
D) 8/24 and 1/3
Answer ASAP! Best Answer Will Be Awarded!
Answer:
B
Step-by-step explanation:
4x-8y=16
add 8y to both sides, so you get
8y+16=4x
then subtract 16 from both sides
8y=4x-16
divide by 8 on both sides
y=1/2x-2
The area of a trapezoid is 60 square feet. If the bases of the trapezoid are 8 feet and 12 feet, what is the height?
O 6 ft
O 4A
O 3 ft
O 15 ft
Answer:
6
Step-by-step explanation:
60 = 12+8 divided 2 times height
60 = 20/2 x H
60 = 10 x H
60/10 = h
6 = H
PLEASE HELP!!!!!!!!!!!!!!!!!!!!
Answer:
g(x) = -x²
Step-by-step explanation:
By looking at the graph and equation of the blue quadratic line, you know the y-intercept is 4. When you look at the red one you can see the y-intercept is 0 so then the equation should be g(x) = -x²
Answer:
Answer B
Step-by-step explanation:
If both the function have the same shape, it means that the function f(x) is just shifted downwards to obtain function g(x).
The function f(x) is given as,
[tex]f(x) = 4 - x^{2}[/tex]
Shifting the curve downwards by 4 unites, the function g(x) is obtained,
[tex]g(x) = f(x) - 4\\g(x) = 4 -x^{2} - 4\\g(x) = -x^{2}[/tex]
I think option B is the correct choice.
(-18, -17)
(18,-17)
(18 , 17)
(-18 , 17)
Answer:
(-18, -17) in 3rd Quadrant
(18, -17) in 4th Quadrant
(18, 17) in 1st Quadrant
(-18, 17) in 2nd Quadrant
-TheUnknownScientist
Which is a solution to the equation
79 - 2 - 472
g.
96
Answer:
[tex]-395[/tex]
Step-by-step explanation:
[tex]79-2= 77-472 = -395[/tex]
A rectangular garden has an area of 84 square feet and a length of 7 feet. What is the width of the garden?
Answer:
12 ft
Step-by-step explanation:
Given data
Area= 84 ft^2
Length= 7ft
The expression for the area is
Area= L*W
substitute
84=7*W
W= 84/7
W= 12ft
Hence the width is 12 ft
Answer:12ft
Step-by-step explanation:
find the slope
y= 1/3x + 18
Answer:
1/3
Step-by-step explanation:
y = mx + b
m is the slope and b is your y-intercept.
Answer:
m = 1/3
Step-by-step explanation:
help appreciated :)
thank you
Answer:
-
He spent 1 hour in total
-
1 hour
There's two Xs on the graph indicating that he had two 1/2 hour hikes, so you just add that up. And that's 1 hour woo
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
ft²
The figure contains a triangle. One side is 3.8 feet. A second side is 4. 3 feet. The angle between the given sides is 53 degrees.
Step-by-step explanation:
i forgot sorry
Answer:
6.52 i took the test
Step-by-step explanation:
Find the circumference and area of each circle. PLEASE HELP!
Answer:
There are so many!
For circumference use = 2 pi r
For area use = pi r²
I have told only formula, else you may lack practice. try to solve yourself
The value of y varies directly with x. When y = 75, x = ½ . What is the value of y when x is 2 ¼ ? A. 168.75 C. 66.67 B. 16.67 D. 337.5
Answer:
Step-by-step explanation:
The value of y varies directly with x. When y = 75, x = ½ . What is the value of y when x is 2 ¼ ? A. 168.75 C. 66.67 B. 16.67 D. 337.5
y ∝x
y = kx
k = y/x
which number is equivalent to
6^2×6^3
A. 150
B. 623
C. 327
D. 252
Answer:
150
Step-by-step explanation:
cual es la fraccion equivalente de 105/275
Answer:
21/55
Step-by-step explanation:
dividamos por 5
= 21/55
6. The roots of the equation 2x2 + 4 = 9x are
a. Real, rational, and equal
b. Real, irrational, and unequal
Real, rational, and unequal
d. Imaginary
Answer:
c. Real, rational and unequal
hiii please help i’ll give brainliest:)
Answer:
Geographic Features of Ancient Greece
Step-by-step explanation:
Greece has all these attributes on the list
Answer:
Geographic Features of Ancient Greece
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzzzzzz give brain alist
Which piecewise function is shown on the graph?
Answer:
Option A
Step-by-step explanation:
Just substitute each value of x in the graph to find the correct function.
When be graph the functions given, we find that option A is correct.
What is meant by to graph a function?To graph a function, you have to select x-values and plug them into the equation. Once you plug those values into the equation, you will get a y-value. Your x-values and your y-values make up your coordinates for a single point. Keep plugging in x-values to get coordinates to plot more points on the graph, and then you will see your graphed function once the dots are connected.
Using the graph,
For x < = -2, y = 5.
For -2 < x < 1, the function is a polynomial.
We have two options, either [tex]y = x^{2} -5\ or\ y = x^{2} +5[/tex]
The polynomial must have the point (0,-5) on it.
For [tex]y = x^{2} -5[/tex] , when x = 0, y = -5.
Hence, it is the correct option.
For x >= 1,
Using graph, we see that when y = 0, x lies between 3 and 4.
For equation, [tex]y = 2^{(x-2)} - 2\\[/tex], when y = 0, x = 3, so it is not correct.
For equation, [tex]y = 2^{(x-2)} - 3\\[/tex], when y = 0, x = 3.584, hence it is correct.
Learn more about graphing a function here
https://brainly.com/question/27757761
#SPJ2
Can you guys help me find the area of this shape. I've literally tried everything and got it wrong.
Answer:
110 square centimeters.
Step-by-step explanation:
The area for a trapezoid can be figured out with the equation (a + b)h/2.
(9 * 5) + (9 + 4)10/2 {Work inside the parentheses first.}
45 + (13)10/2 {Divide 10 by 2 to get 5.}
45 + 13(5) {Multiply 13 by 5 to get 65.}
45 + 65 {Add 45 & 65 to get 110.}
110 square centimeters.
The area of the figure is 110 square centimeters.
3x + 7 = 9x + 3
No solution one solution or infinite
Answer:
One solution.
Step-by-step explanation:
X=2/3 or x=2.6666
Answer:
x=2/3
Step-by-step explanation:
3x + 7 = 9x + 3
Collect like terms (subtract 3x from both sides and subtract 3 f4=rom both sides)
The resulting equation will look like this:
4=6x
=6x=4
Divide be 6 on both sides:
x=4/6
Simplify:
x=2/3 :-)
Please help me on this question I really need help. :,)
Answer:
a. (7, 27) Polly was incorrect.
b. (3, 1) Polly was correct.
Step-by-step explanation:
a.
y = 4x - 1
2x - y = -13
We can solve this by substitution. Our first equation gives us y. Plug that into our second equation for each instance of y.
2x - y = -13
2x - (4x - 1) = -13
First distribute the negative sign across the parentheses.
2x - 4x + 1 = -13
Combine like terms.
-2x + 1 = -13
-2x = -14
Divide both sides by -2.
x = 7
Now that we know x, plug its value into one of our original equations.
y = 4x - 1
y = 4(7) - 1
Solve.
y = 28 - 1
y = 27
Our solution is (7, 27).
Let's check our answer by plugging both values into one of our original equations.
2x - y = -13
2(7) - 27 = -13
Solve.
14 - 27 = -13
-13 = -13
Your solution is correct.
Polly's solution was (-2, -9), which is incorrect.
b.
3x + 6y = 15
-2x + 3y = -3
Let's solve this by elimination. To solve by elimination means to eliminate a variable from the equation.
We have 3x & -2x and 6y & 3y. Notice that 6 and 3 can be simplified easily. To eliminate y, we want to multiply each factor of the second equation by -2.
-2x + 3y = -3
-2(-2x + 3y = -3)
4x - 6y = 6
Write the equations together.
3x + 6y = 15
4x - 6y = 6
Now we can see that the y variable will cancel out.
Apply the elimination method.
3x + 6y = 15
4x - 6y = 6
________
7x = 21
Divide both sides by 7.
x = 3
Now that we know x, plug its value into one of our original equations.
3x + 6y = 15
3(3) + 6y = 15
Solve.
9 + 6y = 15
6y = 15 - 9
6y = 6
y = 1
Our solution is (3, 1).
Let's check our answer by plugging both values into one of our original equations.
-2x + 3y = -3
-2(3) + 3(1) = -3
Solve.
-6 + 3 = -3
-3 = -3
Your solution is correct.
Polly's solution was (3, 1), so she was correct.
Hope this helps!
The height of a box is 30 inches.
What is the height of the box in feet?
Answer:
2.5 feet
Step-by-step explanation:
Answer:
2.5 feet
Step-by-step explanation:
[tex] \frac{30}{12} = 2.5[/tex]
Graph each function. State the domain and range.
Answer:
Just put it in Geogebra classic. It's an app that helps very much with functions!
Please I really need help
Answer:
19/4 =12
Step-by-step explanation:
The 19/4 is a fraction, 19 being the top (numerator)
and 4 being the bottom (denominator)
A regular polygon has
Answer:
a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).
Step-by-step explanation:
Answer:
A regular polygon has 5 sides