Answer:
The answer is "[tex]\bold{\theta= 70.53^{\circ}}[/tex]"
Step-by-step explanation:
The given value:
[tex]8x+8y+8z = 1\ and \ 8x-8y+8z = 1[/tex]
When the normal vectors are in the plane:
[tex]n_1 = < 8,8,8 > \ and \ n_2 = < 8, -8, 8>:[/tex]
Because the two variables really aren't proportional to each other and the wings are not parallel.
Let us just find that two vectors' dot product.
[tex]n_1 \cdot n_2 =<8,8,8> < 8,—8,8>\\\\ = 64-64+ 64 \\\\ = 64 \neq 0[/tex]
Therefore, we won't find that angle between both the given planes as parallel.
[tex]\cos \theta = \frac{n_1 \cdot n_2}{|n_1||n_2|}\\\\\cos \theta =\frac{64}{\sqrt{192} \sqrt{192}}\\\\\cos \theta =\frac{64}{8\sqrt{3} 8\sqrt{3}}\\\\\cos \theta = \frac{1}{3}\\\\ \theta = 70.53^{\circ}[/tex]
It is required to know the orientation of one plane relative to the other.
The angle between the planes is 70.5°.
PlanesThe given planes are
8x + 8y + 8z = 1
8x − 8y + 8z = 1
Parallel
[tex]\dfrac{8}{8}=\dfrac{8}{-8}=\dfrac{8}{8}\\\Rightarrow 1\neq -1\neq 1[/tex]
The planes are not parallel.
Perpendicular
[tex]8\times 8+8\times -8+8\times8=64\neq 0[/tex]
The planes are not perpendicular as dot product is not 0.
Finding angle
[tex]\theta=\cos^{-1}\dfrac{8\times 8+8\times -8+8\times8}{\sqrt{8^2+8^2+8^2}\sqrt{8^2+(-8)^2+8^2}}\\\Rightarrow \theta=\cos^{-1}\dfrac{1}{3}\\\Rightarrow \theta=70.53^{\circ}[/tex]
Learn more about planes:
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A rectangular prism is completely packed with 180 cubes of edge length fraction 1 over 3 inch, without any gap or overlap. Which of the following describes the volume of this rectangular prism?
Answer:
180 x 1/3 = 60 rhe answer is 60
Answer: 60
Step-by-step explanation:
explain why a+b=b+a
-19+-16
I know I can use my calculator I just need to know how to do this thanks.
Answer:
-35
Step-by-step explanation:
lol
Name the image of C(6,-4) under a rotation 90° about the origin. PLEASE HELP ME :)
Answer:
(4, 6)
Step-by-step explanation:
90 degree goes counterclockwise so
(6,-4) becomes( 4, 6)
(x,y) rotation 90 or -270 is (-y,x)
find the number for which 200% is b mins PLZ HELP QUICK
Answer:
200
Step-by-step explanation:
Please answer as fast as possible see the image
Answer:
301.593Step-by-step explanation:
surface area of a cylinder = 2πrh + 2πr²
where: r = 4 km radius
h = 8 km
plugin values into the formula
surface area of a cylinder = 2πrh + 2πr²
= 2 π (4) 8 + 2 π (4)²
= 201.062 + 100.531
= 301.593 km²
Answer:
Hope it's help you and Mark me as brainliest.
Graph the line of the equation x−2y=6 using its slope and y-intercept.
Step-by-step explanation:
take x and subtract it over to the other side you should get Negative two y equals negative x + 6 then divide it all by -2 and you should get y equals 1/2 x - 3
Which graph shows the solutions for the inequality x>-2 ?
what is the factor form of x^12^18+1
Answer:
2
6
6
2
3
3
3
3
2
8
0
8
8
5
2
4
3
9
0
4
+
1
Step-by-step explanation:
Answer:
2 6 6 2 3 3 3 3 2 8 0 8 8 5 2 4 3 9 0 4 + 1
Step-by-step explanation:
-8x+44\geq 60 \quad \maroonC{\text{ AND}} \quad -4x+50 -2x>−2x, is greater than, minus, 2 (Choice B) B x\leq -2x≤−2x, is less than or equal to, minus, 2 (Choice C) C x=-2x=−2x, equals, minus, 2 (Choice D) D There are no solutions (Choice E) E All values of xxx are solutions
Answer:
Use a website named to get math equation answersStep-by-step explanation:
wuieufheufheufhieuhdsjjdhfjdhjshkjhdjkhjdhfjkdhsjfhjdhskjfds
Performance task for
Answer: what's the question here?
Step-by-step explanation:
In Tyra’s class the ratio of boys to girls is 15 to 8. If there are 16 girls in her class then how may boys are there?
Answer:
9?
Step-by-step explanation:
im just guessing tho sorry if im wrong
How do you do this question?
Answer:
y= 4x -5 x^-1
Step-by-step explanation:
xy'+y=8x
y' + y/x =8
linear DE
integrating factor = e^∫1/x dx = x
y = 1/x ( ∫8x dx +C)
y= 1/x (4x^2 +C)
y= 4x + C x^-1
C is any constant.. in this case -5 is satisfying equation
There are p marbles in a bag.
18 of the marbles are red.
Mary takes at random 40 marbles from the bag.
6 of these 40 marbles are red.
Work out an estimate for the value of p.
Divide 3x2 − 11x − 4 by x − 4.
Answer:
3x+1
Step-by-step explanation:
Answer: 3x + 1
Step-by-step explanation:
Convert the numerator in factored form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
Square root both sides
therefore you must
Substitute
Use the graph of the line to answer the questions
What is an equation of the line in point-slope form?
How can the point-slope form be written in function notation?
Answer:
What is an equation of the line in point-slope form?
y + 1 = (1/3)(x + 2)
How can the point-slope form be written in function notation?
f(x) = (1/3)x - (1/3)
Step-by-step explanation:
Answer:
What is an equation of the line in point-slope form?
y + 1 = (1/3)(x + 2)
How can the point-slope form be written in function notation?
f(x) = (1/3)x - (1/3)
Step-by-step explanation:
Elena ran 20 meters in 5.2 seconds. Priya ran 20 meters in 4.8 seconds.
(Who ran faster? Explain how you know.
Answer:
Elena
Step-by-step explanation:
5.2 is bigger than 4.8
Answer:
Priya
Step-by-step explanation:
speed=D÷t
speed=Distance÷time
Elena=20÷5.2=3.8m/sec
Priya=20÷4.8=4.2m/sec
PLEASE HELP!! NEEDS TO BE DONE TODAY!!
What are the domain and the range of the graph?
Answer:
The answer is the 3rd answer.
what is the measure of efg if efh=111?
Answer:
43°
Step-by-step explanation:
∠EFG+∠GFH=∠EFH
So (3x-20)+(3x+5)=111.You don't need the parenthesis, 3x-20+3x+5=111Combine like terms, 6x-15=111Add 15, 126Divide by 6 to isolate the variable, x=21∠EFG is (3x-20) and we know x is 21. 3(21)-20=63-20=43.
Let f be a function such that f(2) ≤ f(x) for all values of x in the interval (0, 3). Does f(2) represent a relative minimum or a relative maximum?
Answer: f(2) is a relative minimum
This is because f(2) is the lowest y output for any given y = f(x) output on the interval [tex]0 < x < 3[/tex] which is what the interval notation (0,3) indicates.
Draw out a "parabolic" like shape where the lowest point occurs at (2, f(2)), where f(2) is unknown, but we at least know that x = 2. I put "parabolic" in quotes because it may not be a true parabola, but it looks like one. This lowest point only applies for the neighbor hood [tex]0 < x < 3[/tex].
can someone please help
Answer:
B
Step-by-step explanation:
Distribute the negative then simplify
Before multiplying fractions change any mixed numbers to
[A] decimals
[B] estimated numbers
[C] percent
[D] improper fractions
9514 1404 393
Answer:
[D] improper fractions
Step-by-step explanation:
The usual recommendation for doing much of anything with mixed numbers is to change them to improper fractions.
__
However, that isn't always necessary. If you're doing the arithmetic with a calculator, it can be helpful to convert them to decimal numbers.* Sometimes, you can work with mixed numbers by working with the integer and fractional parts separately.
Sometimes a simple rewrite makes working with mixed numbers easier. (That is, converting part of the integer portion to a fraction may be useful in some cases.
Example:
(29 1/3) × (1/2) = (28 4/3) × (1/2) = 14 2/3
_____
* Some calculators will do arithmetic directly with mixed numbers and/or fractions. If yours doesn't, it can be helpful to memorize the decimal equivalents of a few common fractions: 1/3, 2/3, 1/6, 1/7, 1/9, 1/11 for example. This will help you convert the decimal result back to a mixed number.
You are going to have a quiz with 5 true/false questions next Friday. You
want to find the probability of passing the quiz, if you guess on each
question.
Create a simulation that would represent this situation and complete 10
trials. Show all of your work for full credit.
Based on the binomial probability principle, the probability of passing the quiz if all answers are guessed [tex] P(x = k) = 10Ck \times 0.50^{k} \times 0.50^{10-k} [/tex]
Let :
Number of questions passed = kNumber of trials, n = 10Probability of success, p = 1/2 = 0.50q = 1 - p = 1 - 0.50 = 0.50Using the binomial probability relation :
[tex] P(x = x) = nCx \times p^{x} \times q^{n-x} [/tex] x = kSubstituting the values into the relation :
[tex] P(x = k) = 10Ck \times 0.50^{k} \times 0.50^{10-k} [/tex]
Hence, the required probability expression is [tex] P(x = k) = 10Ck \times 0.50^{k} \times 0.50^{10-k} [/tex]
Learn more :https://brainly.com/question/23287510
...................
Answer:
easey, sub them
(x,y)
see if true
(0,1), 2(0)+1>-4, 1>-4, true
(4,-12), 2(4)+-12>-4, 8-12>-4, -4>-4, false
(5,-12), 2(5)+-12>-4, 10-12<-4, -2>-4, true
(-1,-1), 2(-1)+-1>-4, -2-1>-4, -3>-4, true
(-3,0), 2(-3)+0>-4, -6>-4, false
answers are
(0,1)
(5,-12)
(-1,-1)
Hopefully that helped you a little bit :)
A family of 8 goes to the amusement park. Each ride at the park costs 1 ticket per person. If they all go on every ride together, which a number of tickets is NOT possible?
A:42 tickets
B:40 tickets
C:24 tickets
D:16 tickets
Answer: A. 42 tickets
Step-by-step explanation: 8, 16, 24, 32, 40, 48
Answer: A. 42 tickets
Step-by-step explanation: 8, 16, 24, 32, 40, 48
please answer the question below
Question 24 of 25 If f(x) = 3* + 10 and g(x) = 2x - 4, find (f+9). O A (f+g)(x) = 5x + 6 B. (f+g)(x) = 3x - 2x+14 O C. (f+ g)(x) = 3* + 2x + 6 O D. (f+ g)(x) = -3% - 2x - 14
Option c is the correct answer
Compound inequality
Answer:
1) Domain: -3<x<∞
Range: -4≤y<∞
2) Domain:-∞<x<∞
Range: -∞<y<∞
3) Domain: 1<x<3
Range: -1<y<∞
4) Domain: -3<x<4
Range: -1<y<4
5) Domain: -3≤x<2
Range: -6<y≤-3
6) Domain: -∞<x<∞
Range:0≤y<∞
Step-by-step explanation:
I'm too lazy to explain this sorry if you really want to know how lmk in comments and try to explain
PLEASE HELP THIS IS DUE TODAY
Simplify
1203
52
4 100
551
044
5
421
50
0
127
152
Answer:
The answer is C
Step-by-step explanation:
I pick that answer because you have divide