The lengths of segment which is the part of a 12 inch line segment closest to the golden ratio, (1+√5)/2 are 7.4166 inch and 4.5834 inch.
What is the value of golden ratio?The value of golden ratio is equal to 1.618. It can also be given as (1+√5)/2.
A 12 inch line segment is divided into the two parts in a particular ratio. Let suppose the line segment is AC which is divided into AB and BC parts. Thus,
AB+BC=AC
AB+BC=12 ....1
The ratio of both segment is equal to golden ratio. Thus
[tex]\dfrac{AB}{BC}=\dfrac{AC}{AB}=\dfrac{1+\sqrt{5}}{2}\\\dfrac{12}{AB}=1.618\\AB=7.4166 \rm\; in[/tex]
Put this value in equation one as,
AB+7.4166=12
AB=4.5834
Hence, the lengths of segment which is the part of a 12 inch line segment closest to the golden ratio, (1+√5)/2 are 7.4166 inch and 4.5834 inch.
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Find the exact values of x and y.
here is the answer of your question
what is the value of x ?
Let us first consider how many sides this figure has:
⇒ it has 6 sides
Now to find the supposed sum of all the angles added up together for a hexagon, must use:
⇒ [tex]Formula =(n-2)*180[/tex]
n: # of sidesLet's plug in the number of sides:
[tex]Sum_.of_.angles=(6-2)*180=720[/tex]
Therefore all the angles of a hexagon must equal 720 degrees:
[tex]x + 90 + 110+160+90+140=720\\x + 590=720\\x = 130[/tex]
The value of x is 130.
Answer: 130
Hope that helps!
What’s the answer to the question for 5z
There is a 2 kg book lying on a table. A 64 N force is applied to the book at a 120° angle from horizontal and moves the book 3 meters in the horizontal direction. How much work was done?
Answer:
156.32 joules
Step-by-step explanation:
In this case, we know the force of 64 N and the distance of 3 m. We also know that there is a 120°angle between the angle of the direction of applied force and the direction of motion. So plugging these values into our handy equation yields:
W = 64(3)cos(120)= 156.32 Joules
So the 64 N force at a 120° angle did 156.32 joules of work moving the book 3 meters.
A cylinder has a height of 6 meters and a radius of 3 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
169.56 m³
Step-by-step explanation:
» Concepts
The volume of a cylinder is how much space there is inside the cylinder. The formula to find the volume is πr²h, where r = radius and h = height. Once you get the volume, you have to add <unit>³.
» Application
We are given the radius as three meters and the height as six meters; we also have to use π as 3.14. Now, we just have to plug in these values into the aforementioned formula.
» Solution
[tex]3.14*3^3*6[/tex] [tex]3.14*9*6[/tex][tex]28.26*6[/tex] [tex]169.56[/tex]The scale of a soccer field is 5cm = 7m. If the drawing has dimensions 7.5cm x 5cm, What are the actual dimensions of the soccer field?
Answer:
35.5cm^2
Step-by-step explanation:
I believe we're talking about a rectangular. So it would be length * width or 7.5cm * 5cm = 35.5cm^2
Pls help me and show work! Thank you <3
Answer:
B) 105 Friday night
Step-by-step explanation:
y= 7x°=(5x+30)°=7x=15°
y°=7x15°=105°
(according to title)
Which data set could be represented by the box plot shown below
PLEASE HELP ON QUESTION 100 POINTS WILL MARK BRAINLIEST!
Answer:
188
Step-by-step explanation:
Ive attached my work
Hope it helps, Let me know if you have any questions !
Brainliest to the correct answer, but answer ASAP
ONLY answer if you are 100% sure so don't say "I think" or "It might be"
btw theres 2 pictures so make sure you look at both
What is the perimeter of the isosceles triangle show below? If necessary, please round to the nearest hundredth.
A. 26.64 units
B. 16 units
C. 16.64 units
D. 36.64 units
PLEASEEE I NEED THE ANSWER IMMEDIATELY
Answer:
it a 26.64 units. hope it helps
A recipe for 1/2 dozen cookies calls for 1/4 pound of butter.
How much butter is needed to make 3 dozen cookies?
The Jordans are considering buying a house with a market
value of $250,000. The assessed value of the house is "a"
dollars. The annual property tax is $2.45 per $100 of
assessed value. What is the property tax on this house?
Answer:
612500
Step-by-step explanation:
Can anybody tell me the answers
Answer:
B (4-x = x-4)
Step-by-step explanation:
both the x-intercepts are (4,0)
Can someone solve both of these?
Answer:
4. A. y = -3x - 2
5. B. ¹/₃
Step-by-step explanation:
General form of a linear equation: y = mx + b
(where m is the slope and b is the y-intercept)
Question 4
From inspection of the graph, the y-intercept is at y = -2
The slope is the change in y divided by the change in x, so we can see that for every change of 1 x-value, the y-value decreases by 3 units.
Therefore, the slope is -3
So the equation of the line is y = -3x - 2
Question 5
Referring to the general form of the linear equation quoted above,
for equation y = ¹/₃x + 4
slope = ¹/₃y-intercept = 4P(Q) = 12/17
P(R) = 3/8
If Q and Rare independent events, find the PQ and R).
Answer:
9/34
Step-by-step explanation:
P(QnR) = P(Q) * P(R)
= 12/17 * 3/8
= 9/34
the difference between two positive integers is 3. if the smaller is added to the square of the larger, the sum is 377. Find the integers
Answer:
let the smaller number be x and the larger number is y
y =x+3
x+y²=377
x+(x+3)²=377
x+(x+3)(x+3)=377
x+x²+3x+3x+9=377
x²+7x+9-377=0
x²+7x-368=0
using factorization method
check the attachments for more details
What is the factored form of the expression x^2-2x-15?
Answer:
[tex](x-5)(x+3)[/tex]
Step-by-step explanation:
Factor by grouping
[tex]x^2-2x-15\\x^2+3x-5x-15\\x(x+3)-5(x+3)\\(x-5)(x+3)[/tex]
A textbook store sold a combined total of 445 biology and history textbooks in a week. The number of history textbooks sold was 45 less than the number of biology textbooks sold. How many textbooks of each type were sold?
Equations to use:
x = biology
y = history
x + y = 445.
x - 45 = y
Step-by-step explanation:
hope you understand..........
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 60% pure antifreeze. The company wants to obtain 240 gallons of mixture that contains 15% pure antifreeze . How many gallons of water and how many gallons of the premium antifreeze solutin must be mixed?
An equation is formed of two equal expressions. The amount of premium antifreeze and the water that should be mixed are 60 gallons and 180 gallons, respectively.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the amount of premium anti-freeze solution mixed be represented by x, while the amount of water mixed be represented by y.
Since the total mixture should be 240 gallons, therefore,
x + y = 240
Solving for y,
y = 240 - x
Given the percentage of pure antifreeze, the mixture should contain is 15%. Therefore, we can write,
60%x + 0%y = 15%(240)
0.60x = 0.15(240)
x = 60 gallons
Now substitute the value of x in the first equation,
y = 240 - 60 = 180 gallons
Hence, the amount of premium antifreeze and the water that should be mixed are 60 gallons and 180 gallons, respectively.
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Determine the measure of angle b, and describe the relationship between the two angles shown.
1:None of these
2:40 degrees; supplementary
3:40 degrees; complementary
4:130 degrees; complementary
5:130 degrees; supplementary
Answer:
b=130°
Step-by-step explanation:
The relationship between these two angles is about the fact that they are supplementary
i.e their sum is 180°
Help me answer this question
Answer:
128 cubes can fit in.
Step-by-step explanation:
We are given: Volume of rectangular prism = 2 units³ and Cube with edge = 1/4 unit
We must find: The number of cubes that can fill the prism
Firstly, find the volume of 1 cube:
Volume = 1/4 x 1/4 x 1/4
Volume = 1/64 units³
Next find the number of cubes that can go into the prism:
Number of cubes = 2 ÷ 1/64
Number of cubes = 128
Therefore 128 cubes can fit in.
round 9.955 to 1 significant figure
here is the picture.it is for the angles not for sure if it is a 180 degree angle?
it is a 90° angle
a = 90 - 49
a = 41
hope it helps...!!!
A stack of one dozen cookies of diameter 5 in. exactly fits in a cylindrical container of volume 176.715 in.3. Which is the thickness of each cookie? please show work!!
Answer: The thickness of each cookie = 0.5 inch
Step-by-step explanation:
the difference of 5.189 and 2.94
Answer:
5.189-2.94=2.249
Step-by-step explanation:
Use the calculator.
Question 13 of 25
True or false? The graph represents a function
Answer:
B. False
Step-by-step explanation:
To determine if a graph represents a function, you can use the vertical line test. A graph is a function if no vertical line intersects the graph at more than one point. In this graph, a line can intersect the graph at more than one point, therefore, it is not a function.
hope this helps!
Hi, I'm struggling on level 2 for
express Express 20 cm as a fraction of 3 m. Then give the fraction in its simplest form.
Answer:
Step-by-step explanation:
we know 100 cm are in one meter, so, 3 meters = 300 cm
then 20/300 = 20 cm of 3 meters , now just reduce the fraction
20/300
= 2 / 30
= 1/15
see??
If a star is 2.64 parsecs away from us. What would the parallax angle in arcseconds be for this binary star?
Answer:
ah
Step-by-step explanation:
A balloon artist claims the probability a randomly selected balloon pops while being molded is 0.10 and that balloons pop independent of other balloons. Part A. If we select a random sample of 3 balloons, what’s the probability that all of them pop while being molded?
Work Shown:
(0.10)^3 = (0.10)*(0.10)*(0.10) = 0.001
Answer:
0.001
Step-by-step explanation:
This can be modeled as a binomial distribution as:
There is a fixed number (n) of trialsEach trial is either a success or failureAll trials are independentThe probability of success (p) is the same in each trialThe variable is the total number of successes in the n trialsLet "success" be the balloon popping.
⇒ trials (n) = 3
⇒ probability of success (p) = 0.10
To find the probability that all 3 of the balloons pop, use the binomial distribution with x = 3:
[tex]\begin{aligned} \displaystyle P(X=x) & =\binom{n}{x} \cdot p^x \cdot (1-p)^{n-x}\\\\\implies P(X=3) & =\binom{3}{3} \cdot 0.1^3 \cdot (1-0.1)^{3-3}\\ & = 1 \cdot 0.001 \cdot 1\\ & =0.001 \end{aligned}[/tex]