find the figure measure of each interior angle of a regular 12 sided polygon​

Answer:

a

Step-by-step explanation:

The answer is Option A)2x+4.8

In mathematics, algebraic expressions mean an expression that consists of variables and constants together and the arithmetic operation such as addition, subtraction, multiplication, and division. For example, 3x +19y = 30 is an algebraic expression as it consists of three terms i.e. 3x, 19y, and 30.

Given here, 2.75x + 0.25(x + 4) – (x – 3.8)

              =2.75x +0.25x+1-x+3.8

              =3x-x+1+3.8

              = 2x+4.8

Hence, option A is the correct answer.

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The surface area of the box, in square feet, that Zoe decorates is 430.35 square feet

To determine the surface area from the net of the box, we simply calculate the area of each shape.

From the given figure, we have the following shapes and dimensions:

The area is then calculated using:

Area = Areas of the rectangle + Area of the triangle

So, we have:

Area = 15 * 12 + 13.89 * 15 + 0.5 * 12 * 7

Evaluate the sum of products

Area = 430.35

Hence, the surface area of the box, in square feet, that Zoe decorates is 430.35 square feet

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Answer:577.35 square feet

Step-by-step explanation:

‍♀️

Answer:

D : 5x³ + 5x² + x

Step-by-step explanation:

Addition and subtraction of the right coefficient of the x³ and x² terms will give you the right answer

Answer:

18

Step-by-step explanation:

\( \frac{7}{22} \)

in the decimal is 0,3181818182

so, 18 repeats in the decimal

Answer:

15, 21, 28

Step-by-step explanation:

Given the distribution of points :

1, 3, 6, 10

Closely examining the distribution :

Difference between the first and second value = 3 - 1 = 2

This difference increases by one for the difference between each subsequent numbers.

The next there numbers :

1, 3, 6, 10

10 - 6 = 4 ;

10 + (4 + 1) = 15

10 + 5 = 15

15 + (5 + 1) = 21

15 + 6 = 21

21 + (6 + 1) = 28

21 + 7 = 28

The pieces of cloth are beyond the standard at 0.05 level of significance.

We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.

The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:

H0: μ = 3.25

The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:

Ha: μ > 3.25

We can calculate the test statistic as:

t = (x - μ) / (s / √n)

where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).

Plugging in the values, we get:

t = (3.52 - 3.25) / (0.52 / √35) = 3.81

Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.

Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.

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Answer:

x=-2.01970690

Step-by-step explanation:

Yes it is a factor

Answer:

Yes, x+2 is a factor of f(x)

Step-by-step explanation:

-2 | 1   -3   -3    9   -4    12

   ___-2_ 10_-14_10  -12

     1   -5    7    -5   6  | 0

Since \(\frac{x^5-3x^4-3x^3+9x^2-4x+12}{x+2}=x^4-5x^3+7x^2-5x+6\) with no remainder, then x+2 is a factor

The solution to each of the arithmetic sequence are:

1) a₁₀ = 56

2) a₁₀ = 87

3) missing term is 13

4) missing term is 14

The formula for the nth term of an arithmetic sequence is:

aₙ = a + (n - 1)d

where:

a is first term

n is nth term

d is common difference

1) a = 2

d = 6

a₁₀ = 2 + (10 - 1)6

a₁₀ = 2 + 54

a₁₀ = 56

2) a = 15

d = 8

a₁₀ = 15 + (10 - 1)8

a₁₀ = 87

3) The missing term will be gotten by finding the common difference.

d = (22 - 4)/2

d = 18/2

d = 9

missing term = 4 + 9 = 13

4) The missing term will be gotten by finding the common difference.

d = (53 - 25)/2

d = 28/2

d = 14

missing term = 4 + 9 = 14

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The guy wire must be about 55 feet long and the slope of the guy wire, expressed as a fraction is 25/11.

We can use the Pythagorean Theorem to find the length of the guy wire. Let's call the length of the guy wire "g".

g^2 = 50^2 + 22^2

g^2 = 2500 + 484

g^2 = 2984

g ≈ 54.65

So the guy wire must be about 55 feet long.

The slope of the guy wire is the ratio of the vertical distance it covers to the horizontal distance it covers. In this case, the vertical distance is 50 feet (the height of the pole) and the horizontal distance is 22 feet. So the slope is

50/22 = 25/11

Therefore, the slope of the guy wire is 25/11.

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The 30th percentile for waiting times is 2.4 minutes.

What is percentile?

In statistics, a score below which a specific percentage k of scores in its frequency distribution falls (exclusive definition) or a score at or below which a particular percentage falls is known as a k-th percentile (percentile score or centile).

For instance, the 50th percentile (the median) is the score that, according to the "exclusive" definition, is at or below the point at which 50% of the scores in the distribution are located (by the "inclusive" definition). When human weight is a factor in the input scores, the corresponding percentiles will be expressed in kilograms or pounds. Percentiles are expressed in the same unit of measurement as the input scores. Depending on the distribution of values for a specific variable, a population can be classified into each of the 100 equal groups.

In statistics, 30th percentile simply means 30% or three-fifths of the whole. So, for this problem, you just have to simply determine the 30% of the waiting time. It is solved as follows:

30th percentile = (0.30)(8 minutes) = 2.4 minutes.

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The value of γ is greater than 1 for any v > 0, greater than 10 for v > 0.995c, and greater than 100 for v > 0.99995c.

To determine for what speed (in terms of c) the value of γ is greater than 1, 10, and 100, we'll use the formula for the Lorentz factor (γ):
γ = 1 / √(1 - v²/c²)
where v is the speed and
c is the speed of light.

(a) For γ > 1:
Since γ is always greater than 1 for any speed v greater than 0, we can say that γ is appreciably greater than 1 for any v > 0.

(b) For γ > 10:
We need to solve the equation 10 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 100 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/100 = 99/100.
So, v/c = √(99/100), which implies v > 0.995c for γ > 10.

(c) For γ > 100:
Similar to (b), solve the equation 100 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 10000 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/10000 = 9999/10000.
So, v/c = √(9999/10000), which implies v > 0.99995c for γ > 100.

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Answer:

Fermat FC won 27 games.

Step-by-step explanation:

Convert percentage to fraction

45% --> 45/100

Multiply the fraction by the dividend

45/100 x 60 = 27

Answer:

the final option

Step-by-step explanation:

the negative sign causes a reflection, the +6 in the parentheses cases a 6 unit shift left and the +3 causes a 3 unit shift up

Answer:

Step-by-step explanation:

Converse of alternate interior angles theorem:

This theorem states that if two lines are intersected by a transversal and the alternate interior angles are congruent, lines will be parallel.

Therefore, p║n.

Perpendicular transversal theorem:

By this theorem,

In a plane, if a line is perpendicular to one of two parallel lines, then it will be perpendicular to the other line.

Therefore, l ⊥ p.

Options selected in the blank spaces are correct.

Answer:

gradient = - 2 , y- intercept = 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope (gradient) and c the y- intercept )

given

2x + y = 1 ( subtract 2x from both sides )

y = - 2x + 1 ← in slope- intercept form

with gradient m = - 2 and y- intercept c = 1

The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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To estimate the expression 398 divided by 9, we can use compatible numbers. Compatible numbers are numbers that are close to the actual numbers, making estimation more manageable.The value of the expression 9 times 1 5/6 plus (-22) is -8.

We can look for a multiple of 9 that is close to 398. 9 × 40 = 360, which is less than 398, while 9 × 50 = 450, which is greater than 398. Therefore, we can estimate that 398 divided by 9 is somewhere between 40 and 50.We can find a more precise estimate by dividing 398 by 9 using long division:We can see that the quotient is 44 with a remainder of 2.

Therefore, the best estimate of the expression 398 divided by 9 is 44, with a possible range of 40 to 50, depending on how exact an estimate is needed. As for the expression 9 times 1 5/6 plus (-22), we can simplify it as follows:9 times 1 5/6 equals 16 because 9 times 1 is 9, and 9 times 5/6 is 5, so 9 times 1 5/6 equals 9 + 5 = 14. 9 times 1 5/6 plus (-22) equals 14 - 22 = -8. Therefore, the value of the expression 9 times 1 5/6 plus (-22) is -8.

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Answer:

The SSS

Step-by-step explanation:

a common side are =,

and the other 2 are also I to I, and II to II.

There are 211,876 ways of combination for the manager to purchase the 50 crates of soda with the given constraint.

To determine the number of ways the manager can purchase 50 crates of soda with no more than 25 crates of any particular variety, we can use the concept of stars and bars.

Step 1: Represent the crates as stars (*), so we have 50 stars.

Step 2: Since there are 5 varieties of soda, we need to divide the stars into 5 groups. We do this by placing 4 bars (|) between the stars.

Step 3: Add the constraint that no variety can have more than 25 crates. To satisfy this condition, we can assume that each variety already has at least 1 crate, leaving 45 crates to distribute among the 5 varieties.

Step 4: Now, we only need to divide the remaining 45 crates (stars) among the 5 varieties using the 4 bars.

Step 5: To find the number of ways to do this, we count the total number of possible arrangements of stars and bars. There are 49 positions (45 stars + 4 bars) and we need to choose 4 positions for the bars. This can be done in C(49, 4) ways, where C(n, k) represents the number of combinations of choosing k items from n.

Step 6: Calculate the combinations:

C(49, 4)

= 49! / (4! * (49-4)!)

= 49! / (4! * 45!)

= 211876 ways.

So, there are 211,876 ways for the manager to purchase the 50 crates of soda with the given constraint.

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The solution to the inequality equation -3p > -6 or 4p + 1 > 13 is p < 2 or p > 3

-3p > -6

p < -6/-3

p < 2

or

4p + 1 > 13

Subtract 1 from both sides

4p > 13 - 1

4p > 12

divide both sides by 4

p > 12/4

p > 3

Hence, the solution to the given inequality 3p > -6 or 4p + 1 > 13 is p < 2 or p > 3

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Given,

Time taken by motorboat to going 200 miles upstream is 5 hours.

Time taken by motorboat to going 200 miles downstream is 4 hours.

At upstream,

The speed of boat is offosed by the speed of current.

At downstream,

The speed of boat is incraesed by the speed of current.

Consider,

The speed of boat is b.

The speed of current is c.

The speed is calculated as,

Similarly,

Substituting the value of b from equation (2) then,

Substituting the value of c in equation (1) then,

Hence, the speed of boat is 45 mile per hour and speed of current is 5 mile per hour.

The value of angle x in the given figure is 79°.

The highest and lοwest walls οf a skew are used tο split the curved lines that make up its ends using Cartesian measurements. A cοllisiοn between twο pοles at an intersectiοn is a pοtential. Angle is anοther οutcοme οf twο things interacting. They resemble dihedral fοrms the mοst clοsely. A twο-dimensiοnal curve can be created by placing twο line beams in variοus cοnfiguratiοns between their ends.

In ΔBFG, ∠FBG = 46°

So according to angle sum property

46° + ∠BFG + BGF = 180°

Here ΔBFG is an isosceles triangle

46° + 2∠BFG = 180°

2∠BFG = 180° - 46°

2∠BFG  = 134

∠BFG = 134/2

∠BFG = 67° = ∠BGF

Using Vertically opposite angle

∠AFJ =  67°

With that in mind ∠BFA = ∠JFG

2∠JFG + 2∠AFJ = 360°

2∠JFG  = 360° - 2∠AFJ

2∠JFG  = 360° - 2(67)

2∠JFG  = 360° - 134

2∠JFG  = 226

∠JFG  = 226/2

∠JFG = 113°

In ΔFDC, ∠JFG  + ∠JDI + ∠HCG = 180°

113° + 33° + ∠HCG = 180°

∠HCG = 180° - (113° + 33°)

∠HCG = 34°

Also, ∠HGC = ∠BGF = 67°

Now, In ΔCGH, ∠HGC + ∠HCG + x = 180°

67° + 34° + x = 180°

x = 180° - (67° + 34°)

x = 79°

Thus, the value of angle x in the given figure is 79°.

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The complete two way frequency  table after survey is:

             13      19      32

             28      15     43

             41       34     75

Just count the missing numbers in the row or column:

32 - 19 = 13

This is the value that goes to the top left in the table because we can subtract here. There are no total votes.

We can now calculate the total number of positive votes to be 41.

In the value of the No column, we will again find the middle number by subtracting the top number from the total number of No votes.

34 - 19 = 15

Similarly,

From the middle row, we can simply add the values ​​to get the total:

28 + 15 = 43.

Finally we find a total of 75.

The complete two way frequency table after survey is:

             13      19      32

             28      15     43

             41       34     75

Complete Question:

A weatherman asks 75 people from two different cities if they own rain boots. Complete the two-way frequency table to show results of the survey.

                               Rain Boots

             City       Yes         No        Total

               A                        19            32

               B          28

            Total                      34

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|y+2| = 6

There are 2 cases possible -

1st case -

y + 2 = 6

y = 6 - 2

y = 4

2nd case -

- ( y + 2 ) = 6

- y - 2 = 6

- y = 6 + 2

- y = 8

y = -8

For the notation of average the expression {{1, 1, 0} [0, 1] 0} is evaluates to  0.3889 approximately.

To evaluate the expression {{1, 1, 0} [0, 1] 0}, we need to follow the notation,

[a, b] denotes the average of a and b.

{a, b, c} denotes the average of a, b, and c.

Let's break down the expression step by step

[0, 1]

= (0 + 1) / 2

= 1/2

= 0.5

Now we have {{1, 1, 0} 0.5 0}. We can evaluate the inner expression first.

{1, 1, 0}

= (1 + 1 + 0) / 3

= 2/3

≈ 0.6667

Now we have {0.6667 0.5 0}. We can apply the same notation to find the average,

{0.6667, 0.5, 0}

= (0.6667 + 0.5 + 0) / 3

= 1.1667 / 3

≈ 0.3889

Therefore, the expression {{1, 1, 0} [0, 1] 0} for the notation of average evaluates to approximately 0.3889.

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Answer: 15 is a 25% increase of 12.

Step-by-step explanation: Difference of 12 and 15 = |12 - 15|/((12 + 15)/2) = 3/13.5 = 0.22222222222222 = 22.222222222222%

Answer:

$5

Step-by-step explanation:

We are given that  profit equation

\(P(x)=-2x^2+20x+0\)

Where x=Charges per pair of mittens

We have to find the charge per pair of mittens to make her max profit.

Differentiate equation w.r.t x

\(\frac{dP}{dx}=-4x+20\)

\(\frac{dP}{dx}=0\)

\(-4x+20=0\)

\(4x=20\)

\(x=5\)

Again differentiate w.r.t x

\(\frac{d^2P}{dx^2}=-4<0\)

Hence, the profit is maximum at x=5

Lily should charge $5 per pair of mittens to make her max profit .

All of the statements that are true include the following:

B. Position is a function of time.

C. The position is highest at 9.8 seconds.

F. There is a 2 seconds period where the position does not change.

In Mathematics, a position vs time graph can be defined as a type of graph that is used to graphically represent the distance traveled by an object from its starting position with respect to the time when it is started moving.

Generally speaking, the position or distance traveled by a physical object in a position vs time graph is always plotted on the y-coordinate while time is always plotted on the x-coordinate (x-axis).

In this scenario, we can logically deduce that the position of this physical object is a function of time because it increases and decreases with respect to time. However, between 4 and 6 seconds the position is constant and does not change.

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