According to the the video, the Golden Ratio is a figure in mathematics theorized by mathematicians as a value that indicates natures beauty symmetry
[tex]\mathbf{The \ value\ of \ the \ Golden \ ratio \ is \ \phi} = \mathbf{\dfrac{1 + \sqrt{5} }{2} }[/tex]
Good examples of the Golden Ratio in art and architecture is the Great Pyramid of Giza, constructed in 2570 B.C. and the temple of Parthenon for which construction began in 447 BC and the decoration completed in 432 BC
The reason the temple of Parthenon is so interesting is that the temple just like the pyramid were meant to last indefinitely, such that they can only be made to last so long by the deities, as such by building using the Golden Ratio found in nature including the spiral galaxies, is in recognition of nature's beauty which is aesthetically pleasing to the eyes, harmonious, and maybe preservative
2. The common presence of the Golden Ratio in the universe can be seen as both a grand design and a coincidence, however, due to the higher prevalence than random occurrence, it can be taken as a design that can be observed in nature
3. The topic helps reinforce the belief in the application of math to daily life, because it is a good portrayal of how math can contribute to all aspect of human life
Learn more about the Golden Ratio here:
https://brainly.com/question/20730582
https://brainly.com/question/22904993
https://brainly.com/question/15895546
Answer:
Step-by-step explanation:
for additional examples of the Golden Ratio. Select your favorite example from the video (or your own research) and explain
why this specific example is so interesting to you. (Possible keywords: the golden ratio + in nature, + in art, + in the human body, + in geometry).
Resuelve las siguientes ecuaciones
a. 3x + 30 = 80 + 2x
Answer:
3x + 30 = 80 + 2x
3x – 2x = 80 –30
x= 50
I hope I helped you^_^
Answer:
x=50
Step-by-step explanation:
3x + 30 = 80 + 2x
subtract 2x from both sides
1x + 30 = 80
subtract 30 from both sides
x=50
Is square root of 11+10 a rational or irrational number
Answer:
Irrational Number is the answer
Answer:
[tex] \sqrt{11 + 10} = \sqrt{22} = 4.69041576 [/tex]
THIS IS IRRATIONAL
Step-by-step explanation:
The correct answer is irrational and the reason for that is the decimals for sqrt of 22 are non-recurring, are non-terminating and lastly it cannot be expressed in a form of a fraction.
I hope this makes sense
:)
Given: 40,905; 40,509; 40,095; and 40,059, the correct arrangement of these numbers from the least to the greatest value is:
40,905; 40,509; 40,095; and 40,059.
40,059; 40,095, 40,509; and 40,905.
40,059; 40,095; 40,905; and 40,509.
40,095; 40,059; 40,509; and 40,905.
40,509; 40,905; 40,095; and 40,059.
Answer:
Step-by-step explanation:
40905
40509
50095
40059
Is greatest to least. You want it to go the other way around.
40059
40095
40509
40905
The smallest number is determined by the number on the right. Then your keep going left to get to the largest. The answer is the second one down.
A CD with a diameter of 120 millimeters rotates a rate of 45 revolutions per minute. Find the linear speed of the CD in millimeters per minute. And find the angular speed of the CD in radians per minute
9514 1404 393
Answer:
16,965 mm/min90π ≈ 282.7 radians/minStep-by-step explanation:
The circumference of the CD is ...
C = πd
C = π(120 mm) ≈ 376.99 mm
This is the distance a point on the edge of the CD will travel when making one revolution. It will travel 45 times this far when making 45 revolutions:
(376.99 mm/rev)(45 rev/min) ≈ 16,965 mm/min
__
There are 2π radians in each revolution, so the angular speed is ...
(2π rad/rev)(45 rev/min) = 90π rad/min ≈ 282.7 rad/min
I need help with this.
simplify
[tex] \sqrt{?} 121[/tex]
[tex]-4\sqrt{28x}[/tex] times [tex]\sqrt{7x^3}[/tex]
Answer:
[tex] {56x}^{2} [/tex]
Step-by-step explanation:
[tex] - 4 \sqrt{28x} \times \sqrt{ {7x}^{3} } [/tex]
[tex] = -4 \times 2 \sqrt{7x} \times \sqrt{7x} [/tex]
[tex] = - 4 \times 2 \times 7x \times x[/tex]
[tex] = {56x}^{2} [/tex]
The median speed at which Dave drove to work was __________. 63 miles per hour 62 miles per hour 58.89 miles per hour 59 miles per hour
Step-by-step explanation:
Dave run with was 63 miles
ii) Ramesh asked me where I lived. (into direct speech)
Answer:
Ramesh asked me,"where do you live?"
Ramesh said to me," where do you live".
How do you find the HCF of 15t and 6s?
Answer:
HCF=3
Step-by-step explanation:
Factors of 15t= 3*5*t
Factors of 6s= 2*3*s
HCF= Common factors
common factor = 3
HCF=3
Subtracting a number is the same as adding its additive inverse. For which elevation do we need to find the additive inverse? What is the additive
inverse of that elevations
Answer:
what elevation there is no elevation
Step-by-step explanation:
pew pew
Answer:duhh
Step-by-step explanation:
Question 7 of 10 Which of the following is most likely the next step in the series? A B. C. D.
please help if you can
Answer:
I choose option d it maybe the answer
Answer:
D
Step-by-step explanation:
The number of sides increase by 1 each time
Assume that an investment of $3000 earns an APR of 6% compounded monthly for 18 months.
How much money is in your account after 18 months?
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Answer:
$3281.79
Step-by-step explanation:
The compound interest formula is ...
A = P(1 +r/n)^(nt)
where A is the balance resulting from investment of P at annual rate r compounded n times per year for t years.
We have P=$3000, r=0.06, n=12, t=1.5, so the account balance is ...
A = $3000(1 +0.06/12)^(12·1.5) = $3000(1.005^18) ≈ $3281.79
There will be $3281.79 in the account after 18 months.
Need help on #3 pliss
Answer:
B. 0.28
Step-by-step explanation:
Add all the sports up and you get 50
14 (soccer players)/50 (total number of students)
14/50 = 28/100 = 0.28
Given the triangle below, find the angle θ in radians. Round to four decimal places.
Answer:
θ = 0.9626
Step-by-step explanation:
Hi there!
We're given the hypotenuse and the leg adjacent to θ in this right triangle. To find θ, we can use the cosine ratio:
[tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]
Plug in the given information
[tex]\displaystyle cos\theta=\frac{4}{7}[/tex]
Use the inverse cosine ratio
[tex]\displaystyle \theta=cos^-^1(\frac{4}{7})[/tex]
Plug this into your calculator (and ensure you're solving for radians instead of degrees in the settings)
[tex]\displaystyle \theta=0.9626[/tex]
Therefore, θ = 0.9626 when rounded to four decimal places.
I hope this helps!
Answer:
theta = 0.9626 radians
Step-by-step explanation:
cos theta = a/h
cos theta = 4/7 = 0.5714
so, the angle theta = arc cos 0.5714 =
55.1520 °
in radians => 55.1520 × π / 180°
= 0.9626 radians
Solve the equation. Check your answer. 27=9x+2-4x
Plz help
The x's are varibles not multiplication btw
Step-by-step explanation:
27=9x+2-4x
or, 27-2=9x-4x
or,25=5x
or,25/5=X
so, X=5
The Pep Club planned to sell streamers for 50¢ each. They also raised $100 selling pom poms. How many streamers would they need to sell in order to raise a total of $150?
Answer:
300 streamers
Step-by-step explanation:
Calculate the area of this section of floor in square feet.
Answer:
A total= 0.6703125 ft²
Step-by-step explanation:
A1= 3.9× 14.3= 55.77 in²
A2=1/2 × 14.3× ( 9.6-3.9)= 40.755 in²
A total= A1+ A2= 55.77+40.755=96.525 in²
1 ft= 12 in , 1ft²= 144 in²
Atotal= 96.525÷144= 0.6703125 ft²
Find the HCF of 1045 and 1520 by long division. Method plsss
Answer:
95
Step-by-step explanation:
you can watch answer in photo. by the way where r u from?
Answer:
I hope it helped U
stay safe stay happy ❤️❤️
Help me pls!!!!!!!!!!!
Answer:
.01 times
Step-by-step explanation:
if the 6th term of an A.p is 11and its first term is 1 find the common diferent
Answer:
[tex]thank \: you[/tex]
(7 - 1) to the 2 power plus 2 and to the 4 power - 8
The answer is 56. work is shown below.
Step 1: apply 2nd power to everything inside parentheses
(7 - 1)² = 7² - 1²
Step 2: apply exponents (remember, exponents are a shorter way to express a number multiplied by itself a number of times).
1 x 1 = 1
7 x 7 = 49
Step 3: subtract
49 - 1 = 48
Step 4: apply exponent
2 x 2 x 2 x 2 = (2 x 2) x (2 x 2)
2 x 2 = 4
2 x 2 = 4
4 x 4 = 16
2⁴ = 16
Step 5: add
48 + 16 = 64
Step 6 (final step): subtract
64 - 8 = 56
final answer: 56
Several probability expressions for a normal distribution are provided below. Drag the correct percentage to each probability expression.
Items
a. 68%
b. 47.5%
c. 13.5%
d. 2.5%
Category
1) P(?-2??x??)
2) P(?-??x??+?)
3) P(?+2??x)
4) P(?-2??x??-?)
The appropriate distribution of the percentages are :
P(μ-2σ≤x≤μ) = 47.5%
P(μ-σ≤x≤μ+σ) = 68%
P(μ-2σ≤x) = 2.5%
P(μ-2σ≤x≤μ-σ) = 13.5%
For a normal distribution :
The mean, μ = 0
The mean, μ = 0The standard deviation, σ = 1
Therefore :
P(μ-2σ≤x≤μ) = P(x≤μ) - P(x≤μ-2σ)
P(x≤μ) - P(x≤μ-2σ)
P(Z ≤ μ) - P(Z ≤ 2(1))
P(Z ≤ 0) - P(Z ≤ 2)
Using the normal distribution table :
0.5 - 0.02275 = 0.47725 = 47.725% (approximately 47.5%)
P(μ-σ≤x≤μ+σ) = P(x≤μ-σ) - P(x≤μ+σ)
P(x≤μ+σ) - P(x≤μ-σ)
P(Z ≤ μ+σ) - P(Z ≤ μ-σ)
P(Z ≤ (0+1) - P(Z ≤ 0-1)
P(Z ≤ 1) - P(Z ≤ - 1)
Using the normal distribution table /
0.84134 - 0.15866 = 0.68268 = 68.268% = (approximately 68%)
P(μ-2σ≤x) = P(μ-2σ)
P(Z ≤ μ-2σ) = P(Z ≤ (0 - 2(1))
P(Z ≤ - 2) = 0.02275 = 2.275% = (approximately 2.5%)
P(μ-2σ≤x≤μ-σ) = P(x≤μ-σ) - P(x≤μ-2σ)
P(x≤μ-σ) - P(x≤μ-2σ)
P(Z ≤ μ-σ) - P(Z ≤ μ-2σ)
P(Z ≤ (0-1) - P(Z ≤ 0-2(1))
P(Z ≤ -1) - P(Z ≤ -2)
From normal distribution table :
0.15866 - 0.02275 = 0.13591 = 13.59% = approximately 13.5%
Learn more : https://brainly.com/question/14308582
What is 5 * 5 * 2 * 2 * 2 in standard form
Answer:
50000 5000 200 20 2
Step-by-step explanation:
Please help
Solve the inequality.
1
X +
<-3 or x - 3>-2
2 –
x <
or x >[]
Answer:
x <_ - 3/0.5 or x > 1
Answer
Write 7 hundred in standard form
Answer:
700
Step-by-step explanation:
Answer:
700
Step-by-step explanation:
7 hundred in standard form is 700.
Kaitlin recorded the results for a sample of 536 candies.
Color Counts Sample Proportion ()
Red 123 23%
Yellow 145 27%
Green 64 12%
Orange 129 24%
Purple 75 14%
The candy company claims that the distribution of each color is exactly 20%.
Select the observed and expected frequencies for the yellow candies.
a.) Observed: 145
Expected: 80.4
b.) Observed: 123
Expected: 80.4
c.) Observed: 107.2
Expected: 14
d.) Observed: 145
Expected: 107.2
Answer:
Observed: 145
Expected: 107.2
Step-by-step explanation:
to get the observed frequency, we simply look at the value in the column. In this case, it is 145 for the yellow group.
To get the expected frequency, we use the formula:
n equals s a m p l e space s i z e equals 536
p equals h y p o t h e s i z e d space p r o p o r t i o n equals 20 percent sign equals 0.2
E x p e c t e d space F r e q u e n c y equals n times p equals 536 times 0.2 equals 107.2
Answer: 104.5
107.2
Step-by-step explanation:
Q19. If 3x + 5x = -9, then x + 1 =
00
2
Step-by-step explanation:
8x=-9
x=-9/8
x+1=-9/8+1
x+1=-1/1
x+1=-1
The manager at a computer recycling plant says it takes workers a minimum of 120 seconds to break down a computer monitor. The exact amount of time depends on the number of screws in the computer that must be removed. It takes 10 seconds to remove each screw, and then an additional 30 seconds to sort the computer parts into their appropriate containers for recycling. Write an inequality that determines the minimum number of screws that are in each computer monitor.
Answer: 120 + 10s + 30
Step-by-step explanation:
120 + 10s + 30
let "s" be the amount of screws
how high is a tree that cast a 23ft shadow at the same time
a 9ft post casts a shadow which is 11ft long
Answer:
tree is about 18.82 ft high
Step-by-step explanation:
The triangles (that are formed by the tree and the poll with their shadows and the line from top to the end of the shadow) are in proportion because they cast the shadow at the same time.
x/9 = 23/11 , we write the proportions
x = 23*9 / 11, multiply both sides by 9
x ≈ 18.82 ft.
Plzzz helppppp!!!!!!! 20+PTS and brainliest!!!!!!!!!!!!!!!
Please show work!!!!!!!!!!!
Refer to the equation y=mx+c