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?​

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

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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).

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).

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

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.

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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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)

[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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Answer:

n = -2

Step-by-step explanation:

2n = 3n + 2

-n = 2

n = -2

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.

Answer:

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

Answer:

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

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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.

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

Answer:

D

Step-by-step explanation:

6*8 = 48

4*8 = 32

Answer:

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

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

Answer:

En un comienzo habia dos bacteria.

Step-by-step explanation:

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 :-)

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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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

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

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]

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.

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.

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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.

Answer:

I'm pretty sure they spent $22.50

Step-by-step explanation:

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