Find the area of a regular polygon with 6 sides that has a side length of 6 inches and an apothem of 4 inches.


Area = [?]in2

let's firstly convert the mixed fractions to improper fractions and then get their difference.

[tex]\stackrel{mixed}{5\frac{3}{4}}\implies \cfrac{5\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{23}{4}} ~\hfill \stackrel{mixed}{1\frac{5}{8}}\implies \cfrac{1\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{13}{8}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{Saturday and Sunday}}{\cfrac{23}{4}}~~ - ~~\stackrel{Saturday~only}{\cfrac{13}{8}}\implies \cfrac{(2)23~~ - ~~(1)13}{\underset{\textit{using this LCD}}{8}}\implies \underset{Sunday~only}{\cfrac{33}{8}\implies 4\frac{1}{8}}[/tex]

The value of   Matrix B = [tex]\left[\begin{array}{ccc}9&17&3\\2&17&0\\3&22&8\end{array}\right][/tex]

Given : Matrix A = Matrix B

matrix A=      [tex]\left[\begin{array}{ccc}9&-2&3\\2&17&0\\3&22&8\end{array}\right][/tex]

The matrix A=      [tex]\left[\begin{array}{ccc}9&-2&3\\2&17&0\\3&22&8\end{array}\right][/tex] (according to the question)

Since it is given A=B

and substituting the given values of elements of B

matrix B=[tex]\left[\begin{array}{ccc}9&17&?\\?&?&?\\?&?&?\end{array}\right][/tex]

According to the property of equality of matrices,

When the matrices are given to be equal, their corresponding elements are also equal

so

b13 = 3

b21 = 2

b22 = 17

b23 = 0

b31 = 3

b32 = 22

b33 =8

Substituting the found out values in place of the question marks,

Matrix B = [tex]\left[\begin{array}{ccc}9&17&3\\2&17&0\\3&22&8\end{array}\right][/tex]

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Answer:

b11 =

9

b12 =

-2

b13 =

3

b21 =

2

b22 =

17

b23 =

0

b31 =

3

b32 =

22

b33 =

8

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

square root of x-1 +5=9

square root of x-1 = 4multiple by power of 2 because square root is cancled by 2.

x-1=16,x=17

Answer:

24

Step-by-step explanation:

The interquartile range defines the difference between the third and the first quartile.

Let's put this data set in ascending order:

24, 36, 48, 52, 52, 60, 72

The median is 52. The median of both the lower (1st quartile) and upper half (3rd quartile) of the data is 36 and 60.

Now we can subtract the first quartile from the third quartile (60 - 36) to get the interquartile range of 24.

Hope this helped! :)

The number of feet of fencing that is needed to go around the pool path is D. 201 ft.

We have a pool with a radius of 28 feet. The radius of the outer edge of the pool path would be equal to the radius of the pool plus the width of the path.

= (28 + 4) feet

= 32 feet

The circumference of the outer edge of the pool path would be equal to the perimeter.

p = 2 * pi * r

p = 2 * 3.14 * 32

p = 200.96 feet

p = 201 feet

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Answer:

1/9x

Step-by-step explanation:

The parenthesis around the 9x means that the -1 exponent goes to the whole thing (the 9x) To "fix" a negative exponent push the 9x across a fraction bar to make the exponent positive. When you push the 9x down across a fraction bar that leaves a 1 on top of the fraction, that has nothing to do with the 1 exponent. Its a 1 on top because when you push the 9x down there is nothing left on top so it is a 1.

(9x)^-1

= 1/9x

To be clear, this is a 1 one top and a 9x on the bottom of a fraction.

The distributive law is satisfied if the numbers 1,2, and 3 are used as multyplying factors.

This is basic mathematical law that states:

The law is always satisfied if one of the numbers is 1. Here is an example

or

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Answer:

Step-by-step explanation:

For 95% of all randomly selected samples of n = 130 students, the

amount of sleep will be between [tex]P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\\\\\[/tex].

According to the empirical rule, also known as the 68-95-99.7 rule.

The percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.

For 95% of all randomly selected samples of n = 130 students, the

amount of sleep will be between can be

[tex]P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\\\\\[/tex]

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Answer:

the answer might be (-4,0) for x coordinates

Answer:

:

Step-by-step explanation:

The domain of the function will be (-∞, ∞) and the range of the function will be (-∞, ∞).

The domain means all the possible values of x and the range means all the possible values of y.

The set of ordered pairs is given below.

{(-3, 2), (-2, 1), (-1,0), (0, -1)}

Then the line function will be

    y – 0 = [(– 1 – 0)/(0 + 1)] (x + 1)

          y = – x – 1

x + y + 1 = 0

Then the domain of the function will be (-∞, ∞) and the range of the function will be (-∞, ∞).

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Answer:

hi the answer is c

Step-by-step explanation:

Answer:

 B. 8.56

Explanation:

Given:

So using cosine rule:

[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]

[tex]\rightarrow \sf cos(50) = \dfrac{5.5}{x}[/tex]

[tex]\rightarrow \sf x= \dfrac{5.5}{cos(50) }[/tex]

[tex]\rightarrow \sf x= 8.56[/tex]

Answer:

Yes and the answer is 16/5

Step-by-step explanation:

Find the reciprocal of the divisor

Reciprocal of 1/6 : 6/1

Now, multiply it with the dividend

8/15 ÷ 1/6 = 8/15 × 6/1

And after that you get 48/15 but after reducing the fraction, the answer is 16/5. ( In mixed form, 3 1/5 )

I hope this helps and I am a middle school student answering this question.

Answer:

Step-by-step explanation:

can you simplify 8/15+1/6

8/15 + 1/6 =

(16 + 5)/30 =

21/30 =

semplify (21:3 and 30:3)

7/10

Answer:

  no

Step-by-step explanation:

The prices are inconsistent, so there is no unique price that can be set for either an apple or an orange that will give the total prices indicated.

__

The first relation can be written as ...

  $10 = 4A +4O

  $10 = 4(A +O) . . . . factor out 4

  $2.50 = A +O . . . . divide by 4

The second relation can be written as ...

  $12 = 6A +6O

  $12 = 6(A +O) . . . . factor out 6

  $2 = A +O . . . . . . . divide by 6

These two relations give different prices for 1 apple and 1 orange. There is no price that can be set for either fruit that will give this result.

No unique prices can be assigned.

Answer:

55

Step-by-step explanation:

Step-by-step explanation:

♡ #jennifer ♡

Answer:gotchu g there it is

Step-by-step explanation:

Answer:sike gtf

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ordered pairs

( 1 , -1 )

( 2 , -3 )

( 3 , -5 )

( 4 , -7 )

( 0 , 1 )

( -1 , 3)

( -2 , 5)

( -3 , 7)

Answer:

x-intercept = (0.5, 0)

y-intercept = (0, 1)

Step-by-step explanation:

x-intercept : where the line intersects the x-axis

y-intercept : where the line intersects the y-axis

Answer:

B

Step-by-step explanation:

6% of her salary is  .06 * 50000 = 3000  <===== matched 100%

   from 6- 12% is another 3000 <=====matched 50% =  1500

3000 + 1500 = 4500 dollars matched

(she put in 6000 and her employer put in 4500 = 10500 total)

Answer:

Step-by-step explanation:

Answer:

width = 10 m

length = 16 m

Step-by-step explanation:

Formula

[tex]\textsf{Area of a rectangle} = wl[/tex]

[tex]\textsf{Perimeter of a rectangle}=2(w+l)[/tex]

(where  [tex]w[/tex] is width and [tex]l[/tex] is length)

Given:

Substituting the given values into the formulae to create two equations:

[tex]\textsf{Equation 1}: \quad wl=160[/tex]

[tex]\textsf{Equation 2}: \quad 2(w+l)=52[/tex]

Rearranging Equation 1 to make w the subject:

[tex]\implies w=\dfrac{160}{l}[/tex]

Substituting expression for w into Equation 2 and solving for [tex]l[/tex]:

[tex]\implies 2\left(\dfrac{160}{l}+l\right)=52[/tex]

[tex]\implies \dfrac{160}{l}+l=26[/tex]

[tex]\implies 160+l^2=26l[/tex]

[tex]\implies l^2-26l+160=0[/tex]

[tex]\implies l^2-10l-16l+160=0[/tex]

[tex]\implies l(l-10)-16(l-10)=0[/tex]

[tex]\implies (l-10)(l-16)=0[/tex]

[tex]\implies l=10, 16[/tex]

According to Equation 1:

As width < length, the dimensions of the shop are:

Answer:

Check the attached image

Answer:

Two lines are parallel if and only if they have the same slope.therefore the original line y=1/3x+2

so option 1 is the answer

The type of variation between the speed and time is inverse.

The equation is r = d / t

The number of miles travelled is 102 miles.

When the speed a person is driving at increases, the time it takes to travel would decrease. On the hand,  speed a person is driving at decreases, the time it takes to travel would increase. This means that there is an inverse relationship.

The equation that represents an inverse relationship is

r = d / t

Where d is the distance

Distance = t x r

51 x 2 = 102 miles

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Answer: 29, 31, 37, 41, 43, 47, 53.

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

By the geometric mean theorem, [tex]\frac{x}[6} =\frac{6}{4} \longrightarrow x=\left(\frac{6}{4} \right)(6)=\boxed{9}[/tex]