A line is subdivided according to the golden ratio, with the smaller piece having a length of 8 meters. What is the length of the entire line? Use o 1618
The length of the entire line is meters.

Answers

Answer 1

Answer:

the entire length is 202.25 or 203 when rounded to the nearest number.

Step-by-step explanation:


Related Questions

Review the graph of f(x).

On a coordinate plane, a curve approaches y = 2 in quadrant 2 and curves down and approaches x = negative 1 in quadrant 3. Another curve approaches x = negative 1 in quadrant 2, curves down through (0, 5), and approaches y = 2 in quadrant 1.

Which statement relates limits to an asymptote of the function?

The graph shows Limit of f (x) as x approaches plus-or-minus infinity = 2 so the function has a vertical asymptote at x = 2.
The graph shows Limit of f (x) as x approaches plus-or-minus infinity = negative 1 so the function has a vertical asymptote at x = –1.
The graph shows Limit of f (x) as x approaches plus-or-minus infinity = 2 so the function has a horizontal asymptote at y = 2.
The graph shows Limit of f (x) as x approaches plus-or-minus infinity = negative 1 so the function has a horizontal asymptote at y = –1.

Answers

Answer: C

Step-by-step explanation:

Please help me out with this!

Answers

Answer:

73.3

Step-by-step explanation:

cos(39)= 57/x

x= 57/cos(39)

x=73.3

What does a equal in the picture below?

Answers

Answer:

28

Step-by-step explanation:

28-10 Your welcome Have a good day

Can someone pls help me with this

Answers

Answer:

8.5 pi

Step-by-step explanation:

C= 2 pi r

21 pi= 2pi r

r= 10.5

Arc length= 2pi r(145/360)

21 pi( 145/360)= 8.5 pi

What are the coordinates of point A I will mark brainliest​

Answers

Answer:

the answer would be A: -1 1/4, 3/4

How long it will take 2000$ to double if it is invested at 6% interest compounded semi annually

Answers

Answer:

Number of year = 11.725 year (Approx.)

Step-by-step explanation:

Given:

Amount invested = $200

Interest rate = 6% (compounded semi annually)

Future value = 2 x Amount invested

Find:

Number of year

Commutation:

Future value = 2 x Amount invested

Future value = 2 x 200

Future value = $400

Number of year (Semi-annual) = 2n

Interest rate (Semi-annual) = 6% / 2 = 3%

So.

A = P[1+r]ⁿ

400 = 200[1+3%]²ⁿ

2 = [1.03]²ⁿ

n = 11.725 year

Number of year = 11.725 year (Approx.)

5. How many more more vertices does a rectangular prism have than triangular pyramid?​

Answers

4 because a rectangular prism has 8 vertices (a place where two lines intersect) and a triangular pyramid has 4
hope this helps :)

What is the solution to the equation below? Round your answer to two
decimal places.
ex = 0.6
O A. x= -0.51
B. x = 1.82
C. X = -0.22
D. x= 3.98
SUBMIT

Answers

Answer:

A._____________________

The value of x is -0.22.

What is Logarithm?

The power to which a number must be increased in order to obtain another number is known as a logarithm.

How many times must one "base" number be multiplied by itself in order to generate another specific number? The answer is found using a logarithm (or log).

Given:

[tex]e^x[/tex] = 0.6

Now, taking log on both side

x log e= log 0.6

x= -0.22184874961

Hence, the value of x is -0.22.

Learn more about logarithm here:

https://brainly.com/question/28346542

#SPJ2

HELP ME ASAP WILL GIVE BRAINLIEST TO ONE THAT ANSWERS CORRECTLY
The Fundamental Counting Principles is used to add all the possible outcomes for each stage of an event.

True or False?

Answers

Answer:

True

Step-by-step explanation:

The fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things.

Convert 23 days to weeks and days?

Answers

Answer:

3 weeks and 2 days

Step-by-step explanation:

what is the difference between Whole numbers and Natural numbers

Answers

Answer:

Whole no includes positive as well as negative integer but Natural numbers includes positive integer .

PLEASE HELP!! 100 POINTS Will mark brainliest.

Answers

Answer:

m∠1 = mCD = 40°m∠2 = 1/2(mAB) = 1/2*30° = 15°m∠3 = 1/2(mED) = 1/2*50° = 25°m∠4 = 1/2(mAB + mDE) = 1/2(30°+50°) = 40°m∠6 = m∠OEG - m∠DEG = 90° - 1/2(mDE) = 90° - 25° = 65°m∠7 = 1/2(mCD + mDE) = 1/2(40°+50°) = 45°m∠8 = 1/2(mCD + mDE - mAB) = 1/2(40° + 50° - 30°) = 30°m∠10 = 1/2mAE = 1/2(180° - mDE) = 1/2(180° - 50°) = 65°

Answer:

hope this help you. look it once.

twice the sum of a number and 8 is equal to 3 times the difference of the number and 7 find the number ​

Answers

the answer should be 37



2(x+8) = 3(x-7)

distribute
2x+16 = 3x-21

Subtract 2x from both sides
2x+16-2x = 3x-21-2x
16 = x-21

Add 21 to both sides
16+21 = x-21+21

> Less
All changes saved
12. A brand-new music service is offering specials on individual song downloads. The cost is $0.74 for each
song up to 20 songs per month, and the cost doubles to $1.48 per download for any number of downloads
over 20. How much would it cost to download 28 songs?
> Less
> Less

Answers

Answer:

Downloading 28 songs will cost $26.64.

Step-by-step explanation:

Given that a brand-new music service is offering specials on individual song downloads, and the cost is $ 0.74 for each song up to 20 songs per month, and the cost doubles to $ 1.48 per download for any number of downloads over 20, to determine how much would it cost to download 28 songs the following calculation should be performed:

(20 x 0.74) + (8 x 1.48) = X

14.8 + 11.84 = X

26.64 = X

Therefore, downloading 28 songs will cost $ 26.64.

Identify the correct statement for the given figure.
Question 14 options:

A)

(5x)° + (2x + 7)° = 90°

B)

90° + (2x + 7)° = (5x)°

C)

(5x)° + (2x + 7)° = 180°

D)

(5x)° = (2x + 7)°

Answers

It’s either A or D


Hope it helps!!! Good luck

PLZZ NO LINK IF U GET IT RIGHT I WILL GIVE U A BRIANLY

Answers

Answer:

B) f = (6 x 8) + 4

Step-by-step explanation:

Remember this: 1 cup = 8 fl oz

They're asking for the total number of fluid ounces of detergent, and we're given 6 cups and 4 fl oz.

Set up a proportion to find the total number of fl oz from the 6 cups, let variable x be the total oz of the 6 cups:

[tex]\frac{1 cup}{8 oz} = \frac{6 cups}{x oz}[/tex]

The answer should be 48 fl oz, then you add the 4 fl oz to have the total of 52 fl oz.

SORRY just wanted a full break down of the problem solved. I made it too complex than it's supposed to be. Hope my answer helps a bit. :)

Represent the greatest common factor of 36 and 8 using the distributive property
36 + 8 =
0 4x(9+2)
O2 x (18+4)
O 8x (5+2)
0 11 x (3+1)

Answers

36/4= 9, 8/4= 2 a is correct

36/2=18, 8/2= 4 b is correct however wrong because it is the simplest distribution

36/8= 4.5, 8/8= 1 c is incorrect

36/11= 3.27, 8/11= .73 d is incorrect.

Answer is 4x(9+2)

In the accompanying diagram of circle O, chords AB and CD intersect at E and
AC:CB:BD:DÀ= 4:2:6:8
What is the measure of AC, BD, and DEB?

Answers

Answer:

m(arc AC) = 72°

m(arc BD) = 108°

m∠DEB = 90°

Step-by-step explanation:

Ratio of the measure of arc AC, arc BC, arc BD and arc AD = 4 : 2 : 6 : 8

Since, m(arc AC) + m(arc CB) + m(arc BD) + m(arc AD) = 360°

By the property of ratio,

Measure of arc AC = [tex]\frac{4}{4+2+6+8}\times (360^0)[/tex]

                               = [tex]\frac{4\times 360}{20}[/tex]

                               = 72°

Measure of arc BD = [tex]\frac{6}{4+2+6+8}\times (360^0)[/tex]

                               = [tex]\frac{6\times 360}{20}[/tex]

                               = 108°

Measure of ∠DEB = [tex]\frac{1}{2}m(arcAC + arc BD)[/tex]

                              = [tex]\frac{1}{2}(72+108)[/tex]

                              = 90°

Matthew bought 3 pounds of cheese. He sliced the cheese into 8 equal sized pieces. How much does each piece of cheese weigh A. 6 oz B 12 oz C. 24 oz D. 48 oz

Answers

Answer:

6

Step-by-step explanation:

There are 48 oz in 3 pounds, or 16 oz in a pound. Now divide the oz by the equal sizes

48/8=6

Maggie wants to pack 20 cookies equally in boxes each box holds 5 cookies how many boxes does she need

Answers

Answer:

4 boxes

Step-by-step explanation:

20/5 is 4 therefore 4 boxes with 5 in each

Answer:

20/5 = 4

Step-by-step explanation:

She needs 4 boxes

If the
mean of a, b, c and d is 8 then what
is the
mean
of
A. a+2,b+2,c+2,d+2
B. ½a,½b,½c,½d​

Answers

It’s A bc it equals to 8

The surface area of a rectangular prism is 2,280 square feet. If the width and height are 20 and 15 feet, the length of the prism is 24 ft?

Answers

Answer:

The statement is trrue.

Step-by-step explanation:

Given that,

The surface area of a rectangular prism = 2,280 square feet

Width, b =20 feet

Height, h = 15 feet

The formula for the surface area of a rectangular prism is given by :

[tex]A=2(lb+bh+hl)[/tex]

Where

l is the length of the prism

Substitute all the values,

[tex]A=2(lb+bh+hl)\\\\2,280=2(20l+20\times 15+15l)\\\\1140=(20l+20\times 15+15l)\\\\1140=35l+300\\\\1140-300=35l\\\\35l=840\\\\l=24\ feet[/tex]

So, the length of the prism is equal to 24 feet.

A stereo speaker in the shape of a triangular pyramid has a height of 8.25 inches. The area of the base of the speaker is 22 square inches. What is the volume of the speaker in cubic inches?
A. 60.5 in3

B. 181.5 in3

C. 90.75 in3

D. 243 in3

Answers

Answer:

A. 60.5 [tex]in^{3}[/tex]

Step-by-step explanation:

A = 1/3(area of base)(h)

= 1/3(22)(8.25)

= 60.5 [tex]in^{3}[/tex]

The answer:

Your answer is A

what is:

k/3 + 17 = 12?​

Answers

What is:
k/3 + 17 = 12?
k = -15

Answer:

-15

Step-by-step explanation:

yan po ang answer thank you na lang po

What’s the answer please

Answers

Answer:

put one line straight across to make a square and isosceles trapezoid and then put a line to make a triangle on top of the square diagonally to make a triangle and a quadrilateral then put put a line diagonally in the square to make two triangles.  

Step-by-step explanation:

done.

Giving brainliest!!!!!!

Answers

Answer:

The volume of the composite figure is approximately 434.041 cubic centimeters.

Step-by-step explanation:

The volume of the composite figure ([tex]V[/tex]), in cubic centimeters, is the sum of the volumes of the cuboid ([tex]V_{c}[/tex]), in cubic centimeters, and hemisphere ([tex]V_{h}[/tex]), in cubic centimeters, that is:

[tex]V = V_{c} + V_{h}[/tex] (1)

[tex]V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}[/tex] (2)

Where:

[tex]w[/tex] - Width, in centimeters.

[tex]h[/tex] - Height, in centimeters.

[tex]l[/tex] - Length, in centimeters.

[tex]R[/tex] - Radius, in centimeters.

If we know that [tex]w = 10\,cm[/tex], [tex]h = 6\,cm[/tex], [tex]l = 5\,cm[/tex] and [tex]R = 4\,cm[/tex], then the volume of the composite figure is:

[tex]V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}[/tex]

[tex]V = (10\,cm)\cdot (6\,cm)\cdot (5\,cm) + \frac{2\pi}{3}\cdot (4\,cm)^{3}[/tex]

[tex]V \approx 434.041\,cm^{3}[/tex]

The volume of the composite figure is approximately 434.041 cubic centimeters.

A box contains paper clips of three different sizes. The numbers of each size of paper clip are listed below.
· 100 small paper clips.
· 250 medium paper clips.
· 150 large paper clips.
One paper clip is randomly selected from the box. What is the probability that the paper clip selected is either small of medium?

Answers

Answer:

[tex]\frac{7}{10}[/tex]

Step-by-step explanation:

Add all paper clip sizes together:

[tex]100 + 250 + 150 = 500[/tex]

They want the probability of either a small or medium being chosen, so you add both paper clips sizes together.

[tex]100 + 250 = 350[/tex]

Now put the number of small and medium paper clips together over the total number of paper clips to find the probability.

Can divide 350 and 500 by 50, which simplifies it down to 7/10.

[tex]\frac{350}{500} = \frac{7}{10}[/tex]

The probability that the paper clip selected is either small or medium is 7/10.

What is the probability that the paper clip is either small or medium?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the paper clip selected is either small or medium = (number of small paper clip / total number of clips) + (number of medium paper clip / total number of clips)

= 100/500 + 250 / 500 = 350 / 500 = 7/10

To learn more about probability, please check: https://brainly.com/question/13234031

A sound wave with amplitude xo is measured by an observer to have an intensity of I0 when the observer is standing 4.0 meters from the source. Which best describes the amplitude of a sound wave and distance from the source where it will be measured with an intensity of 16Io?

Answers

Answer:

C) Increase the amplitude to 2xo and stand 2 meters from the source.

Step-by-step explanation:

Correct on Edge

A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 2 of 2 : Suppose a sample of 1067 floppy disks is drawn. Of these disks, 74 were defective. Using the data, construct the 80% confidence interval for the population proportion of disks which are defective. Round your answers to three decimal places.

Answers

Answer:

The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Suppose a sample of 1067 floppy disks is drawn. Of these disks, 74 were defective.

This means that [tex]n = 1067, \pi = \frac{74}{1067} = 0.069[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 - 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.059[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 + 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.079[/tex]

The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).

Is this a polygon
Yes or no

Answers

No its not a polygon.

It has a curve where as a polygon is a plane figure with at least three straight sides and angles

Thanks for the help xoxoate!

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Please help me out!! :) You run 1 miles each day. Your friend runs 4 times as far as you do. How far does your friend run each day? Jennys mom gave her one dollar on the day she was born. She plans to triple the amount she gives her every day. How much will she receive on her 10th day? Delphina and Oribus are the same distance from the equator, and they are both near the ocean. Using the information in the map, what is likely to be true about the air temperature of the two places? Why? A) The air at Oribus is a the same as Delphina. Both locations are the same distance from the equator. The winds push the ocean water, and it turns to follow the coast past both locations, so the same amount of energy is transferred to the air. B) the , same, as Delphina. Both locations are the same distance from the equator. The winds push the ocean water, and it turns to follow the coast past both locations, so the same amount of energy is transferred to the air. C) warmer than Delphina. 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