please help with the steps

Answer: A polygon with 23 sides has a total of 3780 degrees. total interior angles = (n - 2)180°, where n is the number of sides.

The measure of one interior angle of the given regular polygon with 23 sides is 164.3 degrees

The formula which is used to calculate the sum of the angle of regular polygon is given by

sum of the interior angles = ( n - 2 ) × 180 degrees

Where,

n is the number of sides

According to the given question.

We have a regular polygon with 23 sides.

⇒ n = 23

Therefore,

The sum of the interior angles of the given regular polygon

= (23-2) × 180

= 3,780 degrees

So, the measure of one interior angle = [tex]\frac{3780}{23} = 164.3 degrees[/tex]

Hence, the measure of one interior angle of the given regular polygon with 23 sides is 164.3 degrees.

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Answer:

Step-by-step explanation:

Convert to simplified fraction:

Convert to a mixed number by placing the numbers to the right of the decimal over 10. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.

Convert to Mixed fraction:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 10[tex] ^{1} [/tex](10). Next, add the whole number to the left of the decimal.

[tex]2 \frac{4}{10} [/tex]

Reduce the fractional part of the mixed number.

[tex]2 \frac{2}{5} [/tex]

Step-by-step explanation:

the total mass of each empty carton

1284×2568kg

the total mass of books alone

30816×10=12840kg

Answer:

60 feet

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

A normal or symmetrical distribution where each the distance between each side of the distribution to the midpoint is the same, a normal distribution, also called a symmetrical distribution has the se value for both its median and mean. Hence, if the mean of a normal distribution is x, then it's median will also be x.

For the scenario given,

Since mean = 105 ; then median = 105

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the given information:

The Directrix  x = - 1

The eccentricity  e = 1

Since the Directrix x = - 1, it implies that the directrix appears on the left negative side of the pole and is vertical.

Hence, the conic equation in terms of r is:

[tex]\mathsf{r =\dfrac{ep}{1-e \ cos \ \theta}}[/tex]

From the directrix to the pole, the distance p = 1

So;

[tex]\mathsf{r =\dfrac{1*1}{1-1 \ cos \ \theta}}[/tex]

[tex]\mathbf{r =\dfrac{1}{1- \ cos \ \theta}}[/tex]

Answer:

Step-by-step explanation:

322.14 cm²

Answer:

2.844

Step-by-step explanation:

2.8436 is 2.844 when rounded to the nearest thousandth because the ten thousandth digit is 6, which means you round up for 3. Hope this helps!

Answer:

2.84

Step-by-step explanation:

2.8436 is rounded to the nearest thousands we get 2.84

Answer:

the answer is 125. if you cut them slice to slice you'll get 25 because of there five slices of 25 all you got to do is 25 x 5 and you'll get 125.

Hope this help

Have a nice day :)

Answer:

3(5x + 4y)

Step-by-step explanation:

Given

15x + 12y ← factor out 3 from each term

= 3(5x + 4y) ← in factored form

Answer:

27.4 feet down deep

Step-by-step explanation:

28 feet down, swins up for 0.3 feet times 6 or 1.8 feet up

leaving a total of 26.2 under the sea and he swims back down at 0.3 feet times 4 or 1.2 feet down. and the new total is 26.2 + 1.2 which equals 27.4 feet down in the deep sea

Answer:

27.4 feet

Step-by-step explanation:

.3 ft per sec for 6 sec = 1.8 feet

.3 ft per sec for 4 sec = 1.2 feet

28 - 1.8 + 1.2 = 27.4

Answer:

A' (2,-1) B' (4.-1) C' (1,-4)

Step-by-step explanation:

Answer:

(-2,-1)

Step-by-step explanation:

Answer:

2 and 3

Step-by-step explanation:

Given the set (2, 3, 4, 5,) and inequality 19- 4x>3

To obtain which number gives a solution, we test each value in the set ;

19- 4x>3

For x = 2

19- 4(2)>3

19 - 8 > 3

11 > 3 (true)

x = 3

19- 4(3)>3

19 - 12 > 3

7 > 3 (true)

For x = 4

19- 4(4)>3

19 - 16 > 3

3 > 3 (false )

For x = 5

19- 4(5)>3

19 - 20> 3

-1 > 3 (false)

Answer:

I am pretty sure its 30 students

solution//

= 4(m-3) = 24

= 4m-12 = 24

= 4-12+12 = 24+12

= 4m = 36

= 4m = 36

4 4

= m = 9

Step-by-step explanation:

Thank you

[tex]\sf\purple{The\:value\:of\:m\:is\:9.}[/tex] ✅

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

[tex]4 \: (m - 3) = 24 \\ ⇝4 \: m - 12 = 24 \\ ⇝4 \: m = 24 + 12 \\ ⇝4 \: m = 36 \\ ⇝m = \frac{36}{4} \\ ⇝m = 9[/tex]

To verify:-

[tex]4(m - 3) = 24 \\ ⇝4(9 - 3) = 24 \\ ⇝4 \times 6 = 24 \\ ⇝24 = 24 \\ ⇝L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]

9514 1404 393

Answer:

  infinite number of solutions

Step-by-step explanation:

The two equations describe the same line.

Adding 9y+15 to the second equation makes it be ...

  15 = 6x +9y

Dividing that by 3 gives you ...

  5 = 2x +3y . . . . . . identical to the first equation

The lines intersect at every point, so there are an infinite number of solutions.

Answer:

(-4) ^6

Step-by-step explanation:

(-4)*(-4)*(-4)*(-4)*(-4)*(-4)

There are six (-4)'s multiplied together

(-4) is the base and 6 is the exponent

(-4) ^6

Answer:

162 minutes

Step-by-step explanation:

Since she takes 6.2 minutes a mile, you multiply it by 26.2 for every mile. 6.2x26.2= 162.44, then round it to 162

Answer:

The answer is "[tex](32.8318736, 29.1681264)[/tex]"

Step-by-step explanation:

When the [tex]95\%[/tex] of the confidence interval are true population means of the dog weight then:

[tex]=\bar{x} \pm \frac{\sigma }{\sqrt{n}} \times z_{0.05}\\\\=31 \pm \frac{6.1}{\sqrt{30}}\times 1.64485\\\\=31 \pm 1.83187361\\\\=(32.8318736, 29.1681264)[/tex]

Answer:

4cp^2 ( 4c^3+5p

Step-by-step explanation:

See image below:)

The factored form of the expression will be [tex]4cp^2 (4c^3+5p)[/tex]

Given the expression  16c^4p^2+20cp^3​

Get the factor for each term

From the factors, you can see that 4cp^2 is common to both terms. Hence the factored form of the expression will be:

[tex]4cp^2 (4c^3+5p)[/tex]

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Answer:

okay the first questions answer is ,c,is true and rest of them are false

Answer:

The center is ( -2, 7) and the radius is 6

Step-by-step explanation:

A circle is written in the form

(x-h)^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x+2)^2+(y-7)^2=36

(x -  -2)^2+(y-7)^2=6^2

The center is ( -2, 7) and the radius is 6

Answer:

-1 =s

Step-by-step explanation:

7 = -10s - 3

Add 3 to each side

7+3 = -10s - 3+3

10 = -10s

Divide by -10

10/-10 = -10s/-10

-1 =s

Answer:

h(-8) = -40

Step-by-step explanation:

Find h(-8) by plugging in -8 as x:

h(x) = 1/4x² + 7x

h(-8) = 1/4(-8)² + 7(-8)

Simplify:

h(-8) = 1/4(64) - 56

h(-8) = 16 - 56

h(-8) = -40

So, the answer is h(-8) = -40

The value of h(-8) is -40.

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.

Given:

h(x)=1/4x²+7x

h(-8)= 1/4* 64+7*(-8)

      = 16-56

      = -40

Hence, h(-8)=-40.

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Answer:

6 cm

Step-by-step explanation:

Volume of a prism= Length X Width x height

750 = 25 x 5 x h

750= 125h

750/125 = 125h/125

h= 6

Answered by Gauthmath