A regular decagon has a radius of 8 cm. what is the approximate area of the decagon? recall that a decagon is a polygon with 10 sides.

Answer:

W = 6', L = 12'

Step-by-step explanation:

Let W be the width and L the length.

We are told that L = 2W

The perimeter is 2L + 2W = 36'

Use the first equation in the second:  2(2W) + 2W = 36'

4W + 2W = 36'

6W = 36'

W = 6'

and since L = 2W, L = 12'

Check:  Does a width of 6' and length of 12' make a perimeter of 36'?

2*6' + 2*12' = 36' ?

12'+24' = 36'

YES

The length is 12' and the width is 6'.  The lenght is twice the width, and the perimeter adds to 36'.

Answer:

I pretty sure it's 45 degrees from the information that you gave me.

Step-by-step explanation: The total is a circle and you have 8 little triangles. You divide 360 (what a circle is) by 8 (number of triangles). The quotient will be 45 degrees. That's the answer 45 degrees.

The value of x is 0.24. Option C is correct. The frequency table is used to find the relative frequency.

A frequency table is a collection of things with the number of times they appear in the table. f is used to signify frequency.

The given data from the table is;

The subgroup count of the column =  120

The total count = 500

x is the relative frequency

The relative frequency is found as;

[tex]\rm x = \frac{ subgroup \ count }{ total \ count } \\\\ x=\frac{120}{500} \\\\\ x = 0.24[/tex]

Hence the value of x is 0.24. Option C is correct.

To learn more about the frequency table refer to the link;

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Answer:

answer on edge is c

Step-by-step explanation:

There are 31 type A mice and 19 type B mice in the computer shop costing about $433.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let a represent the type A and b represent the type B, hence:

a + b = 50    (1)

Also:

6a + 13b = 433     (2)

a = 31, b = 19

There are 31 type A mice and 19 type B mice in the computer shop costing about $433.

Find out more on equation at: https://brainly.com/question/1214333

Answer:

The answer is d) 480cm³

Step-by-step explanation:

3 x 10 x 16 = 480cm³

Answer:

The sum of all the sides to this quadrilateral will equal a total of 20 inches, so you set up the equation:

2 + 2x + 7 + x + 2 = 20

Solve for x by combining like terms;

(2 + 7 + 2) + (2x + x) = 20

Which simplifies to;

11 + 3x = 20

Get rid of constants;

-11          -11

3x = 9

Isolate x by getting rid of it's coefficient;

/3  /3

x = 3

Now, to find the length of PQ, we plug in the value of x(3) into the equation that contains the line PQ.

x + 2

3 + 2

= 5 inches.

Now, to find the length of RS, we plug in the value of x(3) into the equation that contains the line RS.

2x

2(3)

= 6 inches.

Answer:

x-9

Step-by-step explanation:

1/10×1 =1/10

1/10×9=9/10

so 1/10(1x-9) = 1/10x-9/10

-1/27

Hope it helps.

Do comment if you have any query.

Answer:

option c

Step-by-step explanation:

pi/2 is the answer

Step-by-step explanation:

take the rectangle as whole with dimensions 16*8

area = 128 in^2

area of rectangle of dimensions 10*2 =20

required area = 108 in^2

Answer:

D. Rational

Step-by-step explanation:

A rational number is any number that can be written as a decimal or a fraction.

Hope it helped!

Answer:

An angle is a space which is usually measured in degrees between two intersection lines. A unit angle is the angle which is subtend by a portion of circumstances equal in length to radius of a circle.

Hey there!

6/2

= 6 ÷ 2 / 2 ÷ 1

= 3 / 1

= 3 ÷ 1

= 3

Therefore, your answer should be:

3

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

An equation is formed of two equal expressions. The equation that has solutions of m=–5 and m=9 is (m+5)(m-9)=0.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

As it is given that the solution of m is -5 and 9. Therefore, the equation which will represent the solution of m as -5 and 9 is

(m+5)(m-9)=0

Hence, the equation that has solutions of m=–5 and m=9 is (m+5)(m-9)=0.

Learn more about Equation:

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Answer:

15.5 is the median.

The mean of the data is 22

Step-by-step explanation:

First, the median of a data set is found by sorting the numbers in order, from least to greatest. Then you count inwards one at a time on both sides until you reach a center number.

4 , 12, 15, 16, 40, 45

     12, 15, 16, 40

          15, 16

               15.5

This means, 15.5 is the median

Next, to find the mean, you add up all the numbers and divide it by however many numbers there are. In this case there are 6 numbers, so we divide the total by 6.

40 + 4 + 12 + 15 + 45 + 16 = 132

132 / 6 = 22

The mean of the data is 22

Answer:

Mean: 22

Median: 15.5

Step-by-step explanation:

hope this helps :)

Answer:

60r ft

Step-by-step explanation:

If it is wrong correct me if it is correct pls mark me as brainliest pls

Answer:

0.9527

Step-by-step explanation:

Once again, if Brainly would stop deleting my answer for no reason, your answer is 0.9527. OKAY! ...okay

The binomial probability for getting at least 4 successes is 0.955

The probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes is called binomial probability.

[tex]P_{x} = nC_{x} p^{x} q^{n-x}[/tex]

Where,  

P is the binomial probability

x is the number of times for a specific outcomes within n trials

[tex]nC_{x}[/tex] is the number of combinations

p is the probability of success in a single trial

q is the probability of failure on a single trial

n is the number of trials

Let p denote the probability of getting success in a single trial and q denotes the probability of failure in a single trial.

And let x be a random variable denoting the number of success.

According to the given question.

We have

[tex]p = 0.85[/tex]

⇒[tex]q = 1- 0.85 = 0.15[/tex]

Also,

n = 6

Therefore,

The  binomial probability of getting at least 4 success

[tex]=P(x\geq 4)[/tex]

[tex]=P(x=4)+P(x=5)+P(x=6)[/tex]

[tex]= 6C_{4} (0.85)^{4} (0.15)^{2} + 6C_{5} (0.85)^{5} (0.15)^{1}+ 6C_{6} (0.85)^{6} (0.15)^{0}[/tex]

[tex]=\frac{6!}{4!21} (0.522)(0.0225)+\frac{6!}{5!1!} (0.443)(0.15)+\frac{6!}{6!0!} (0.4)[/tex]

[tex]=15(0.011)+6(0.066)+1(0.4)[/tex]

[tex]=0.165+0.396+0.4\\=0.955[/tex]

Hence, the binomial probability for getting at least 4 successes is 0.955

Thus, option A is correct.

Find out more information about binomial probability here:

https://brainly.com/question/12474772

#SPJ3

Answer: 14.3178210633

Step-by-step explanation: d=√((x_2-x_1)²+(y_2-y_1)²)

Step-by-step explanation:

Set the parameters,

Let the width be 'X' inhes

Therefore,

Length = "5X" inches

According to the given condition,

Perimeter = sum of the sides = 2(l+b) = 40 inches,

Equation = 2(5X+X) = 40

2(6X) = 40

12X= 40

X= 3.33

Therefore,

Width = X = 3.33 inches

[tex]4 \frac{2}{3} - 4 \frac{1}{3} = \\ [/tex]

[tex] \frac{1}{3} \\ [/tex]

Thus the true answer is option A .

3a. Area  = 2 (5×7 + 5×3 + 7×3)

3b. Area = 2 (6×6 + 6×5 + 6×5)

3c. Area = 2 (6.5×10 + 6.5×3 + 3×10)

4a. Area = 2(1/2 × 4 × 6) + 2(7×5) + 7×6

4b. Area = 2(1/2 × 6 × 6) + 2(10×8.5) + 10×6

4c. Area = 2(1/2 × 10.2 × 3.6) + 15×8.3 + 15×4.5 + 10.2×15

Answer:

The answer is exactly -2,299. But since this is a mental math question it's okay if it's not the exact answer. The answer would be "A"

Answer:

Graph= (-1,-8)

y= -8

x=-1

Step-by-step explanation:

The equation it has solutions of –5 and 7  is x^2-2x-37=0

We have equation

solutions of equation are –5 and 7.

We have to find complete the equation.

We have given that solutions of the equation are -5, 7.

The standard form of a quadratic equation.

[tex](x -\alpha) (x- \beta)[/tex]

Where we have

[tex]p = -(\alpha+\beta) and q = (\alpha\times \beta)[/tex]

So, roots are

[tex]( x- (-5)) (x-7)[/tex]

[tex]p = -( -5+7)[/tex] , [tex]q =(-5)(7).[/tex]

[tex]p = -2 and q = -35.[/tex]

On substituting p and q in equation

[tex]x^2+(-2)x-37=0[/tex]

[tex]x^2-2x-37=0[/tex]

Therefore,x^2-2x-37=0  is the equation of solution -5,7.

To learn more about the quadratic factor visit:

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Answer:

-2, -35

Step-by-step explanation:

Answer:

k=9

Step-by-step explanation:

This is what i got, tell me if i got this right.

Answer:

160 bottles of water

Step-by-step explanation:

Because c stands for how many cases of water she orders, you replace c in the equation b = 20c with 8. It would then be b = 20(8) which would be b = 160. Because b stands for the total number of bottles, that means the total number of bottles is 160.

Answer:

No, Paul is not correct.

Step-by-step explanation:

The competition starts at 11:30am.  9:30am is 2 hours before.

1/4 of an hour is 15 minutes, 1/2 an hour is 30 minutes, 3/4 of an hour is 45 minutes

So, Paul needs to get there 45 minutes before the 11:30am start time.

Paul needs to get there at 10:45am