Find the exact circumference of each circle using the given inscribed or circumscribed polygon.

Answer:

QR ≈ 9.1

Step-by-step explanation:

using the cosine ratio in the right triangle

cos49° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{PR}{QR}[/tex] = [tex]\frac{6}{QR}[/tex] ( multiply both sides by QR )

QR × cos49° = 6 ( divide both sides by cos49° )

QR = [tex]\frac{6}{cos49}[/tex] ≈ 9.1 ( to the nearest tenth )

Answer: 15

Step-by-step explanation:

20 ÷ 4 + (6 x 2) − 2

Start by solving the parenthesis

20 ÷ 4 + (12) − 2

Now using order of operations we know to do division before addition/subtraction

5+12-2

Solve addition/subtraction from left to right

17-2

15

     using podmas rule:

==============

[tex]\dashrightarrow \sf 3 * (7+2) \ \div \ \sqrt{4}[/tex]

[tex]\dashrightarrow \sf 3 \ * \ 9\ \div \ \sqrt{4}[/tex]

[tex]\dashrightarrow \sf 3 \ * \ 9\ \div \ 2[/tex]

[tex]\dashrightarrow \sf 3 \ * \ 4.5[/tex]

[tex]\dashrightarrow \sf \ 13.5[/tex]

Answer:

13.5

Step-by-step explanation:

[tex]3*(7+2)/\sqrt{4}[/tex]

You use PEDMAS - priority of calculation

1) Paranthesis

2) Exponents

3) Divide or Multiple (whichever comes first, reading left to right)

4) Add or Subtract (whichever comes first, reading left to right)

so,

Parenthesis first:

[tex]7+2=9[/tex]

becomes

[tex]3*9/\sqrt{4}[/tex]

No exponents, so we skip this step

Left to right for multiply or divide: first comes multiply.

[tex]3*9 = 27[/tex]

becomes

[tex]27/\sqrt{4}[/tex]

Now, last one is divide:

[tex]27/\sqrt{4} = 27/2 = 13.5[/tex]

Answer:

C. √147

Step-by-step explanation:

Set the values of the triangle up in the Pythagorean Theorem.

a² + b² = c²

x² + 7² = 14²

Take 7 and 14 to the power of 2.

x² + 49 = 196

Subtract 49 from both sides.

x² = 147

Take the square root of both sides. There will only be one answer since lengths cannot be negative.

x = √147

Answer:

C

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 7² = 14²

x² + 49 = 196 ( subtract 49 from both sides )

x² = 147 ( take square root of both sides )

x = [tex]\sqrt{147}[/tex]

Answer:

  B.  x = 1, y = 0, z = 3

Step-by-step explanation:

Systems of linear equations are readily solved by a suitable calculator or spreadsheet. The attached calculator display shows the solution to be ...

  x = 1, y = 0, z = 3

__

There are several ways a calculator can solve these equations. The method shown here is to input the equations as an augmented matrix of their coefficients, and reduce it to row-echelon form. The right-most column of the reduced matrix is the set of variable values in the same order as the coefficients.

A graphing calculator can also be used to graph the equations. You may have to write one variable in terms of the others. (Here, it is convenient to let z=3-y.) The second attachment shows the solution (x, y) = (1, 0). This is sufficient to choose the correct answer. Or, you can finish the solution by substituting into the expression for z: z = 3 -y = 3 -0 = 3.

Many calculators will solve the system of equations after you enter it as presented in the problem statement.

Answer:

832.5

Step-by-step explanation:

if you multiply the height by the base and then divide by 2 you will get this answer (it's the formula)

The slope of the line is -0.8.

The formula for distance  is...

y2−y1                                5−1

______=                       ________    

  x2−x1                            −9− −4

And so when simplified we  get

4

__

-5

Giving us -0.8.

Answer:

x + (5x-9)

Step-by-step explanation:

x stands for the number of coins Nancy has

Kevin has 9 less than 5 times what Nancy has, so his part of the expression is 5x-9

To find the total number of coins they have, you have to add Nancy's number of coins x plus Kevin's number of coins 5x-9

x + (5x-9)

But you have to put parentheses around Kevin's 5x-9 so that part of the expression is calculated first, as per order of operations

Answer:

8.5 < 7

Step-by-step explanation:

8.5 is less than 7.

doesn't verify mathematically.

Answer:

12 gallons

Step-by-step explanation:

Answer:

24 arrangements.

Step-by-step explanation:

ive done this before

Answer:

Step-by-step explanation:

16^3 - 8^3

Take out 8^3 as a common factor.

16^3 = 2^3 * 8^3

8^3(2^3 - 1)  

8^3(8 - 1) = 8^3 * 7

(4^3 + 2^3)     Expand

64 + 8            Combine

72

72 = 9 * 8

Conclusion

(8*3 * 7 )(9*8)

7*9 = 63

So any number containing 63 will divide into the reduced form of

(16^3–8^3)(4^3 +2^3)

Answer:

  cos(Θ + 2π) + cos(Θ + 4π) = -0.2

Step-by-step explanation:

The cosine funciton is periodic with period 2π, so we have ...

  cos(Θ) = cos(Θ + 2π) = cos(Θ + 4π) = -0.1

__

The sum is ...

  cos (Θ + 2π) + cos(Θ + 4π) = -0.1 +(-0.1) = -0.2

Answer:

y=5x-5

Step-by-step explanation:

The slope of the graph is 5 and the Y intercept is (0,-5). Plug into slope intercept form : y=mx+b to get the equation.

30/27, 20/18...

Hope it helps.

Do comment if you have any query.

Answer:

14%

Step-by-step explanation:

946/1100 = 0.86

1 - 0.86 = 0.14 = 14%

Answer: 14%

Answer:

14% decrease

Step-by-step explanation:

Percentage Decrease = [ (Starting Value - Final Value) / |Starting Value| ] × 100

Percentage Decrease = [ (1100 - 946) / |1100| ] × 100

Percentage Decrease = [ (154) / |1100| ] × 100

Percentage Decrease = [ 0.14] × 100

Percentage Decrease = 14

70%

hope it really helps...!!!

Answer:

Mode

Step-by-step explanation:

PLATO users. There will always be a MEDIAN because there is always a middle number. There will always be a MEAN because you add the numbers. There will always be a RANGE because there is a high and a low number. There will sometime be no MODE if there is no reoccurring numbers.

[tex]\sf \dashrightarrow t = 6r^2 + 12t[/tex]

[tex]\sf \dashrightarrow -6r^2 = 12t-t[/tex]

[tex]\sf \dashrightarrow -6r^2 = 11t[/tex]

[tex]\sf \dashrightarrow 6r^2 = -11t[/tex]

[tex]\sf \dashrightarrow r^2 = -\dfrac{11t}{6}[/tex]

[tex]\sf \dashrightarrow r = \pm \sqrt{-\dfrac{11t}{6} }[/tex]

[tex]\dashrightarrow \sf r=\pm i\sqrt{\dfrac{11t}{6}}[/tex]

Based on the entries given, the balances when posted in T-accounts would be:

                                          Owner's Capital a/c

        Drawings                $2,000                    Balance c/d             $30,000

        Balance b/f            $40,000              Income summary        $12,000

                                      $42,000                                                  $42,000

                                               Service revenue a/c

                                                                           Cash                      $58,000

Profit and loss account        $58,000                                                            

                                              $58,000                                          $58,000

                                             Salaries and Wages

     Cash                                 $39,000           Income summary   $39,000

                                               $39,000                                             $39,000

                                             Supplies a/c

      Cash                               $ 7,000             Income summary  $7,000

                                               $7,000                                            $ 7,000

                                         Income summary a/c

      Salaries and wages       $39,000            Service revenue     $58,000

      Supplies expense           $7,000

     Capital a/c                      $12,000                                                            

                                           $58,000                                             $58,000

Journal entries will be:

Date              Account title                                            Debit         Credit

                     Owner's capital                                   $2,000

                     Drawings                                                                  $2,000

Date              Account title                                            Debit         Credit

                     Income summary                                $46,000

                      Salaries and wages expense                                  $39,000

                       Supplies expense                                                    $7,000

Date              Account title                                            Debit         Credit

                     Service revenue                                $58,000

                     Income summary                                                   $58,000

Date              Account title                                            Debit         Credit

                     Income summary                                    $12,000

                     Owner's capital                                                         $12,000

The closing balance will close off the temporary accounts which include expense accounts such as salaries and wages, and supplies. They will be sent to the Income summary account.

The owner's capital account will receive the profit for the period and will be debited for any drawings made. Accounts should always balance as shown above.

Find out more on closing account balances at https://brainly.com/question/24914390.

Answer:

a on edg

Step-by-step explanation:

i just did the question

The correct set notation for the domain of the function is {x | x ∈ R, x ≠ 3}. Option {x | x ∈ R, x ≠ 3} is the correct answer.

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

In this case, the given function is:

F(x) = (x - 4)/(x - 3)

The function is defined for all real numbers (x ∈ R) except when the denominator (x - 3) becomes zero, as division by zero is undefined.

Therefore, we need to find the value of x that makes the denominator zero and exclude that value from the domain.

The denominator becomes zero when:

x - 3 = 0

x = 3

So, the domain of the function is {x | x ∈ R, x ≠ 3}. This set notation means that the function is defined for all real numbers except x = 3. Thus, the correct set notation for the domain of the function is {x | x ∈ R, x ≠ 3}. Option {x | x ∈ R, x ≠ 3} is the correct answer.

To learn more about the domain;

https://brainly.com/question/28135761

#SPJ3

The complete question:

F(x) = (x - 4)/(x - 3)

Determine the domain of the function in the correct set notation. {x|x ∈ R, x ≠ –3} {x|x ∈ R, x ≠ 3} {x|x ∈ R, x ≠ 2} {x|x ∈ R, x ≠ –2}

Answer:

it is the third one 1,133.54 in²

Step-by-step explanation:

38÷2=19 = R

19²×3.14 = 1,133.54 in²

Answer:

Step-by-step explanation:

Answer:

y= 44

Step-by-step explanation:

you know 4y so just

×11 and you get 44

Answer:

  (d)  240/289

Step-by-step explanation:

The trig identity for the sine of a double angle can be used to find the desired value.

  sin(2θ) = 2sin(θ)cos(θ)

__

The cosine of this 3rd-quadrant angle is negative:

  cos(θ) = -√(1 -(-8/17)²) = -(√(289 -64))/17 = -15/17

Then the desired sine value is ...

  sin(2θ) = 2(-8/17)(-15/17) = 240/289

_____

Additional comment

The attached calculator result comes from the principal value of the arcsine function resulting in a 4th-quadrant angle for negative sine values. Double that angle will still be a 4th-quadrant angle. When the translation is made to the appropriate quadrant, the desired double angle will be a 1st-quadrant angle with a positive sine.

Answer:

^

Step-by-step explanation:

Answer:

The reasoning of Jamie is incorrect

Step-by-step explanation:

No, because in the expression 4(x+1)  you will first need to multiply 4 by x, your result is 4x, and then you multiply 4 by 1, you get 4, so the answer will be 4x+4, as mentioned up in the problem.

Also in the expression 6x-2x+4  ,you will first need to subtract 2x from  6x, your result is 4x ,and then you add 4 , so the answer will be 4x + 4

Finally,we obtain

6x-2x+4 = 4x + 4 and 4(x+1) = 4x + 4

Conclusion:

The reasoning of Jamie is NOT correct.

Answer:

Np Jamie is wrong

Step-by-step explanation:

No, because in the phrase 4(x+1), you must first multiply 4 by x, which gives you 4x, and then multiply 4 by 1 to get 4, giving you 4x+4, also, in the phrase 6x-2x+4, you must subtract 2x from 6x to get 4x, and then add 4 to get 4x + 4x.

Our final solution is:

4(x+1) = 4x + 4 and 6x-2x+4 = 4x + 4

Answer:

In this case the number 9 would be located in the tens of thousands.

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I hope help you :)

Kind regards, Antonio.