5. The Colorado state flag consists of three horizontal stripes of equal height. The side lengths of the flag are in the ratio 2 : 3. The diameter of the gold-colored disk is equal to the height of the center stripe. What percentage of the flag is gold?​

5. The Colorado State Flag Consists Of Three Horizontal Stripes Of Equal Height. The Side Lengths Of

Answers

Answer 1

Answer:

the diameter of the circle is ⅓ of the height

so the radius is 1/6 of the height

the area of the flag is 1*1.5 of the height

(we need to consider this)

pi*(1/6)² / 1.5

= 0.058177

so the percentage is

5.82 %

Answer 2

So, the required percentage is  [tex]5.81\%[/tex].

To understand the calculations, check below.

Area of the disk:

The area of the disk is defined as the ‘ measure of surface ‘ surrounded by the round edge (circumference) of the disk. The area of a disk can be derived by breaking it into a number of identical parts of disk as units — calculating their areas and summing them up till the disk is reformed.

That is [tex]Area=\pi \frac{d^2}{4}[/tex]

Let the width and the length of the flag be [tex]2x[/tex] and [tex]3x[/tex] respectively.

So, the diameter of the gold-colored disk will be [tex]\frac{2x}{3}[/tex]

Now, by using the above formula the area of the gold disk will be,

[tex]\pi \frac{d^2}{4}=\pi\times\frac{4x^2}{4\times 9} \\ =\frac{\pi x^2}{9}[/tex]

And the area of the flag will be,

[tex]Area=l\times b\\=2x\times 3x\\=6x ^2[/tex]

So, the required percentage is,

[tex]\frac{(\frac{\pi x^2}{9} )}{6x^2} \times 100=\frac{\pi}{54}\times 100\\ =5.81\%[/tex]

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Related Questions

what's the formula of finding an area of a room?​

Answers

Answer:

For a square or rectangular room you will need the length and width

Then you multiply I.e length x width gives Area

bye :-)

The circumference of a circle is 47 in. Find its diameter, in inches.

Answers

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Circumference of the circle = 47 inch.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The diameter of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:diameter\:of\:the\:circle\:is\:15\:inch.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }[/tex]

[tex]\longrightarrow{\blue{}}[/tex] 47 in = 2 π [tex]r[/tex]

[tex]\longrightarrow{\blue{}}[/tex] [tex]r[/tex] = [tex]\frac{47 \times 7}{2 \times 22}[/tex] in

[tex]\longrightarrow{\blue{}}[/tex] [tex]r[/tex] = [tex]\frac{329}{44}[/tex] in

[tex]\longrightarrow{\blue{}}[/tex] [tex]r[/tex] = 7.477 in

Now,

[tex]\sf\pink{Diameter\: of \:the \:circle\: =\: 2 \:r }[/tex]

= 2 x 7.477 in

= 14.954 in

= 15 in ( round to nearest whole number )

Therefore, the diameter of the circle is 15 inch.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

The diameter of the circle is approximately 14.97 inches.

We have,

To find the diameter of a circle given its circumference, we can use the formula:

Circumference = π * Diameter

Given the circumference of the circle is 47 inches, we can rearrange the formula to solve for the diameter:

Diameter = Circumference / π

Substituting the given circumference into the formula:

Diameter = 47 / π

Calculating the value:

Diameter ≈ 14.97 inches

Therefore,

The diameter of the circle is approximately 14.97 inches.

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You have one each of $0.05, $0.10, $0.25, $1.00 and $2.00 coins in your wallet. How many different sums of money could you form by reaching into your wallet and pulling out some coins?

Answers

Answer:

The correct answer is - 26 sums for pulling few coins.

Step-by-step explanation:

Given:

coins in the wallet = 5 ($0.05, $0.10, $0.25, $1.00 and $2.00)

Different sums of money = ?

Formula: Different combination of items can be calculated with the help of a formula of combination that is -

nCr = n! / ((n – r)! r!)

where, n = total number of items

r = number of item in a set

solution:

In this question number of set is not given only few mention so the sets could be 2 coins, 3 coins, 4 coins and 5 coins.

a. for set of 2 coins

= 5! / ((5 – 2)! 2!)

= 20/2

= 10 combination of sums

b. for the set of 3 coins

= 5! / ((5 – 3)! 3!)

= 10

C. for 4

= 5! / ((5 – 4)! !)

= 5

d. for 5 coins

only 1 sum

thus, the total types of different sums = 10+10+5+1

= 26.

What is the surface area of the rectangular prism shown below?
A: 159
B: 294
C: 318
D: 378
(All squared)

Answers

D 378
Hope this helps

i need help with this?
i’m so confused

Answers

Answer:

See below

Step-by-step explanation:

In #4, the angles are vertical because the angles are congruent to each other. Therefore, you would set up the equation x+8=120 where x=112.

In #5, the angles are complementary because their sum is 90°. Therefore, you would set up the equation 43+x+3=90 where x=44.

In #6, the angles are supplementary because their sum is 180°. Therefore, you would set up the equation 76+2x+4=180 where x=50.

If 90 people were at a game and one-sixth bought programs for $1.50 each,
how much did they spend on programs all together?

Answers

Answer:

I'm pretty sure they spent $22.50

Step-by-step explanation:

do (1÷6)×(90) then multiply 15 and 1.50

I need help badly please with number 2 ...help me .. please no links or I will report you

Answers

9514 1404 393

Answer:

  $62.74

Step-by-step explanation:

The annuity formula can be used to find the payment needed. Fill in the known values and solve for the unknown.

The future balance due to a series of payments is given by ...

  A = P(n/r)((1 +r/n)^(nt) -1)

where A is the account balance P is the payment made each period, n is the number of periods per year, r is the annual interest rate, and t is the number of years.

You have A = $20,000, r = 0.041, n = 12, t = 18 and you want to find P

  P = A(r/n)/((1 +r/n)^(nt) -1)

  P = $20,000(0.041/12)/((1 +0.041/12)^(12·18) -1) ≈ $62.74

A monthly payment of $62.74 is required.

if two lines are parallel and one has a slope of 1/6, what is the slope of the other line?

Answers

The correct answer is 1/6

Parallel lines will have the same slope as one another

The coordinates of the endpoints of BC are B(5,1) and (-3,-2). Under the
transformation R90, the image of BC is B'C". State the coordinates of points B
and C.

Answers

Given:

The coordinates of the endpoints of segment BC are B(5,1) and (-3,-2).

Under the transformation [tex]R_{90^\circ}[/tex] the image of [tex]\overline{BC}[/tex] is [tex]\overline{B'C'}[/tex].

To find:

The coordinates of points B' and C'.

Solution:

We know that transformation [tex]R_{90^\circ}[/tex] means 90 degrees counterclockwise rotation about the origin.

If a figure is rotated 90 degrees counterclockwise rotation about the origin, then

[tex](x,y)\to (-y,x)[/tex]

Using this rule, we get

[tex]B(5,1)\to B'(-1,5)[/tex]

Similarly,

[tex]C(-3,-2)\to C'(-(-2),-3)[/tex]

[tex]C(-3,-2)\to C'(2,-3)[/tex]

Therefore, the coordinates of required points are B'(-1,5) and C'(2,-3).

Evaluate:
2n=1(3n + 2) = [?]

Answers

Answer:

n = -2

Step-by-step explanation:

2n = 3n + 2

-n = 2

n = -2

In the figure, ∆BAT ≅ ∆CAT. Which statement is true by CPCTC?

Answers

Answer:

BT=CT the first one because BAT=CAT and bc cut the similar vector between these two triangle

Let U be the set of all books, N the set of all novels, and H be the set of all hardcover books. Describe, in words, the following sets:

Answers

Given:

U be the set of all books, N the set of all novels, and H be the set of all hardcover books.

To find:

The description for the sets [tex]N\cap H[/tex] and [tex]H'[/tex] in words.

Solution:

We have,

U = The set of all books

N = The set of all novels

H = The set of all hardcover books.

We know that [tex]N\cap H[/tex] means common elements of set N and set H.

Therefore, [tex]N\cap H[/tex] is set of all books that are both novels and hardcover books.

We know that [tex]H'[/tex] is the set of elements of universal set except the elements of set H.

Therefore, [tex]H'[/tex] is the set of all books that are not hardcover books.

The scores and their final grade for a statistics student are given. What is the student’s weighted mean score?
Homework
Quiz
Quiz
Project
Final Exam
Score
86
81
96
99
89
Percent of final grade
20
15
15
25
25

Answers

Answer:

a) final exam: 90.2 B     b) percent of final grade: 20 F

Step-by-step explanation:

calculator: a)86+81+96+99+89=451/5=90.2

b) 20+15+15+25+25=100/5=20

The  weighted mean of a distribution is the sum of the product of the data elements of the distribution by the proportion of each element.

The weighted mean score of the students is 90.75

To calculate the weighted mean score, we simply multiply the score of each student by the percentage grade.

So, we have:

[tex]Mean = 86 \times 20\% + 81 \times 15\% + 96 \times 15\% + 99 \times 25\% + 89 \times 25\%[/tex]

This gives:

[tex]Mean = 17.20 + 12.15 + 14.40 + 24.75 + 22.25[/tex]

[tex]Mean = 90.75[/tex]

Hence, the weighted mean score of the students is 90.75

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6 (b - 83) =10

Answer by steps?

Answers

Answer:

b = 84 2/3.

Step-by-step explanation:

6 (b - 83) =10

6b - 6*83 = 10

6b - 498 = 10

6b = 508

b = 508/6

b = 84 2/3

[tex]\longrightarrow{\green{84.666}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]6 \: (b - 83) = 10 \\ ➡ \: 6 \: b - 498 = 10 \\ ➡ \: 6 \: b = 1 0 + 498 \\ ➡ \: 6 \: b = 508 \\ ➡ \: b = \frac{508}{6} \\ ➡ \: b = 84.666 [/tex]

[tex]\boxed{To\:verify:}[/tex]

[tex]6 \:( b -83) = 10 \\ ➝ \: 6 \: (84.666 - 83) = 1 \\ ➝ \: 6 \times 1.666 = 10 \\ ➝ \: 9.996 = 10 \\ ➝ \:10 \: (round ing \: \: to \: \: closest \: \: whole \: \: number) = 10 \\ ➝ \: L. H.S.=R. H. S[/tex]

Hence verified.

[tex]\pink{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Which domain would make the list of ordered pairs a function? {(-2, 5), (3, -1), (_, 4), (_, -9), (5, 6)}

Answers

Hope this help!!!

Have a nice day!!!

The required domain would make the list of the ordered pairs are-4 and 5.

Given that,
Which domain would make the list of ordered pairs a function, {(-2, 5), (3, -1), (_, 4), (_, -9), (5, 6)} is to be determined.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
The domain of the function follows the pattern of increasing the number by unit with the alternate sign change,
So the domain of function after 3 is given as -4 and 5.

Thus, the required domain would make the list of the ordered pairs are -4 and 5.

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un tipo de bacteria se duplica cada 6 minutos.¿ cuántas bacterias habia en un comienzo si luego de una hora hay 2048?

Answers

Answer:

En un comienzo habia dos bacteria.

Step-by-step explanation:

10
1
board/home
Solving Linear Equations. Tutorial Level
Four times the sum “n plus 10" is 34. What is the
value of n?
Multiply (n + 10) by 4.
4(x + 10) = 34
ESSICA
2
n+
2
= 34
DONE
00
P750

Answers

Answer:

-1.5 or -1 1/2

Step-by-step explanation:

I can only guess what is actually asked for. a lot of things went wrong when copying this problem description in here.

the basic question I understand is to solve the equation of

4(n + 10) = 34

=>

n + 10 = 34/4 = 8.5 or 8 1/2

n = 8.5 - 10 = -1.5 or -1 1/2

List 2 different ways to name angle 2 shown below.

Answers

The angle could be named these two different ways:

angle CAD or angle DAC.

77 out of 100 people Prefer sunny days what percentage of people prefer sunny days

Answers

Answer:

77% prefer sunny days because 77/100 is equivalent to 77%

You start driving for 3 miles, turn right, and drive north for another 13 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.

Answers

Answer:

13.34

Step-by-step explanation

Pythagorean Theorem: c= sqrt(a^2+b^2) or a^2=+b^2=sqrt(c)

3^2+13^2= sqrt(178) = 13.34166= 13.34

Explain how u got the answer!

Answers

Answer: 525

Step-by-step explanation:

1000 dogs in 2013 and 4500 dogs in 2016

15 percent in animal shelters

(4500-1000)x0.15 = 525

Need help with it math

Answers

Answer:

oh itsA

Step-by-step explanation:

i did 1 plus 24

1. supplementary

2. complementary

3. 45

4. 8

5. 67

6. 135

7. 98

8. 157

9. x= 10

10. x= 6

11. x= 30

12. x=14


What is the y-intercept of 3x – 4y = 24? Write your answer as a single number.

Answers

Answer:

-6

Step-by-step explanation:

y-intercept of 3x – 4y = 24

=> x=0

3(0) -4y=24

-4y=24

y = 24/(-4) = -6

the point is (0, -6)

Which value is equal to 1/2 ?Select all that apply.
Please help fast fast !! Will give brainliest

Answers

the first is the correct answer, sin 30

Answer:

The Answer to your problem is A i'm pretty sure mark me brainliest plss and a thanks heart !!

What is the scale factor from ∆ABC to ∆DEF?​

Answers

Answer:

D

Step-by-step explanation:

6*8 = 48

4*8 = 32

solve the system of equations y=x-7 y=x^2-9x+18

Answers

9514 1404 393

Answer:

  (x, y) = (5, -2)

Step-by-step explanation:

Equating expressions for y, we have ...

  x^2 -9x +18 = x -7

  x^2 -10x +25 = 0 . . . . . add 7-x to both sides

  (x -5)^2 = 0 . . . . . . . . factor

The value of x that makes the factor(s) zero is x=5. The corresponding value of y is ...

  y = x -7 = 5 -7 = -2

The solution is (x, y) = (5, -2).

What is the solution of the equation, n + 12 = 12?

n = ______​

Answers

N=0
n+12=12
So you would subtract 12 from the n side and subtract the 12 from the 12 on the other side which will equal 0

exact value of cos 60° x sin 30°

Answers

Answer:

the exact value is 1/4

Step-by-step explanation:

Mark as brainllest if helps!!!

Answer:

0.25

Step-by-step explanation:

cos 60° = 0.5

sin 30° = 0.5

cos 60° x sin 30° = 0.5 x 0.5 = 0.25


If you worked for the local CVS for $9.00 an hour and this week you worked 40 hours at regular time, and 5 hours of overtime at a rate of 1.5 how much money would you earn?

Answers

Answer:

1800

Step-by-step explanation:

First, you multiply 9 times 40 which is 360. So then since he worked for 5 more hours you multiply 360*5 which will give you 1800. :D

Steve Ballmer, the current CEO of Microsoft, used to be the manager of his college football team. Among his duties, he had to be sure the players were hydrated. When nearby construction forced a water shut off, Steve went to the Star Market to purchase bottles of water. He needed a total of 80 liters of water. Star Market sold water in two liter bottles and in half liter bottles. What possible combinations of the small and large bottles might he purchase in order to bring 80 liters to the football team?
a. Write an equation that models the possible combinations of half liter bottles and two liter bottles that would total 80 liters. (Be sure to define the variables.)
b. What is the x-intercept and what does it represent?
c. What is the y-intercept and what does it represent?

Answers

9514 1404 393

Answer:

  a.  x + 4y = 160

  b.  160

  c.  40

Step-by-step explanation:

a. We can define the variables as ...

  x = number of 1/2-liter bottles

  y = number of 2-liter bottles

For the total number of liters to be 80, we require

  1/2x + 2y = 80

We can multiply this by 2 to eliminate the fraction.

  x + 4y = 160

__

b. The x-intercept is 160. It is the number of 1/2-liter bottles required when no 2-liter bottles are used.

__

c. The y-intercept is 40. It is the number of 2-liter bottles required when no 1/2-liter bottles are used.

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