6
10. In a regular poligon the interior angle is 11 times the exterior angle.
(i) Work out the number of sides of this polygon




22
(ii) Find the sum of the interior angles of this polygon.
18 0 (0-2)
18ox (22-2)

Answer:7 x 10 ^1 is the right answer

Step-by-step explanation:

Hope this helps :)

There is the bacterial cell 7 × 10¹ times smaller than the amoeba cell which is the correct answer would be an option (B).

Scientific Notation is a way of writing down in the easy form of very large or very small numbers.

We have been given that a bacterial cell is around 5 × 10⁻⁶ m long, while an amoeba cell is about 3.5 × 10⁻⁴ m long.

To determine the number of times smaller is the bacterial cell than the amoeba cell.

⇒ amoeba cell / bacterial cell

⇒ 3.5 × 10⁻⁴ m / 5 × 10⁻⁶ m

Apply the division operation, and we get

⇒ 0.7 × 10⁻⁴ × 10⁶

Adding the exponents of the above terms

⇒ 0.7 × 10⁻⁴⁺⁶

⇒ 0.7 × 10²

⇒ 7 × 10¹

Hence, there is the bacterial cell 7 × 10¹ times smaller than the amoeba cell.

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Answer:

En filosofía y lógica, el término proposición se usa para referirse a:​Las entidades portadoras de los valores de verdad.​Los objetos de las creencias y de otras actitudes proposicionales.​El significado de las oraciones declarativas o enunciativas, como «el Sol es una estrella».​

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=kx²

y₁=k(1)²=k

y₃=k(3)²=9k

y₁-y₃=k-9k=32

-8k=32

k=-4

y=-4x²

y₋₂=-4(-2)²=-16

Answer:

there is 2/8 and 3/12 .they are both equivalent to each ,and equal 1/4.2 is 1/4 of because 2×4=8 is 1/4 of 12 because 3×4=12.

Answer: 2xy • (4x - 5y)

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 ((8 • (x2)) • y) -  (2•5xy2)

STEP 2:

Equation at the end of step 2:

 (23x2 • y) -  (2•5xy2)

STEP 3:

STEP 4:

Pulling out like terms

4.1     Pull out like factors :

  8x2y - 10xy2  =   2xy • (4x - 5y)

Final result :

 2xy • (4x - 5y)

Answer: the positive value of tan(1/2x) in simplest radical form with a rational denominator is √(2/3).

Step-by-step explanation:

Using the half-angle formula for tangent, we have:

tan(1/2x) = ±√((1-cos(x))/(1+cos(x)))

Substituting cos(x) = 1/5, we get:

tan(1/2x) = ±√((1-1/5)/(1+1/5))

= ±√(4/6)

= ±√(2/3)

Since we are looking for the positive value, we have:

tan(1/2x) = √(2/3)

Therefore, the positive value of tan(1/2x) in simplest radical form with a rational denominator is √(2/3).

Answer:

Step-by-step explanation:

sin(x)=sqrt(24)/5=2*sqrt(6)/5

tan(x/2)=sin(x)/(1+cos(x))

Thus, tan(x/2)=sqrt(6)/3

\(\dfrac{7!4!}{5!3!}=6\cdot7\cdot4=168\)

The probability  of receiving no right responses is roughly 0.2097, or about 21%.

In this scenario, each trial has 5 possible outcomes and the probability of a correct answer (success) is p=0.20, while the probability of an incorrect answer (failure) is q=1-p=0.80.

Since there are 7 independent trials and each trial can have two possible outcomes (success or failure), we can model this situation using the binomial distribution. The probability of getting no correct answers (7 failures) can be found using the binomial probability formula:

\(P(X = 0) = (n choose x) * p^x * q^(n-x)\)

where n is the number of trials, x is the number of successes, p is the probability of success, and q is the probability of failure.

In this case, we have:

\(P(X = 0) = (7 choose 0) * 0.20^0 * 0.80^7\)

= 1 * 1 * 0.2097

= 0.2097

Therefore, the probability of getting no correct answers is approximately 0.2097, or about 21%.

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A line chart is the most appropriate type of chart for tracking a GPA over time.

Therefore the answer is A. line chart.

A line chart displays data points connected by straight lines and can be useful for showing trends or changes in data over a period of time, such as the progress of your GPA during your time in graduate school.

A histogram is a type of chart that shows the distribution of data across several categories or bins. It is not well suited for tracking your GPA over time because it is meant to show the frequency of data within certain ranges, rather than changes in a single value over time.

A pie chart is a type of chart that displays data as slices of a circle, with each slice representing a proportion of the whole. It is not the best choice for tracking your GPA because it does not show trends over time and is better suited for showing the distribution of data across several categories.

A dot plot is a type of chart that shows individual data points as dots along a number line. Like histograms and pie charts, dot plots are not well suited for tracking a single value over time, such as your GPA.

--The question is not readable, answering to the question below--

"If you were interested in tracking your GPA during the time you are in graduate school, which of the following might you use?

A. line chart

B. histogram

C. pie chart

D. dot plot

E. all of the above"

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The total amount paid for the used car plus expenses will be $6,914.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Zaida purchased a used car for $6,500.

State tax was 4%, 100 point inspection was $72, $45 for license plate, and $37 for state emissions testing.

Now,

Since, Zaida purchased a used car for $6,500. State tax was 4%, 100 point inspection was $72, $45 for license plate, and $37 for state emissions testing.

Hence, The total amount paid for the used car plus expenses is,

⇒ $6500 + 4% of 6500 + $72 + $45 + $37

⇒ $6500 + $260 + $154

⇒ $6,914

Thus, The total amount paid for the used car plus expenses = $6,914

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Step-by-step explanation:

I think It might be this im not sure

The cost of gas is proportional to the volume of gas because a constant rate of $3.15 to 1 gallon of gas.

From the given table;

The volume of the first gas Layla bought = 3 gallons.

The cost of the 3 gallons = 9.45

Therefore the cost of 1 gallon = ?

That is:

3 gallons = $9.45

1 gallon = X

Make X the subject of formula:

X = 9.45/3 = $3.15

Therefore, the cost of 11 gallons of gas would be = 11×3.15 = $34.65. This is because the cost of 1 gallon would be = $3.15.

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Answer:I think it’s 10718.571428571 but rounded to a tenth it’s 10724.6

Step-by-step explanation: 10,150+10211+10424+10769+10844+11155+11477 divided by 7 equals 10718.571428571 or 10724.6.

Answer:

3(x + 5y) - 2(x + y)

3x + 15y - 2x - 2y

x + 13y

(3x + 15y) + (-2x + -2y)

x + 13y

Answer:

can you show us the table? might give us more data than the question.

Answer: 3

Step-by-step explanation:

simply divide 1200 by 400. :)

The area of the triangle FGH is equal to  13√10 unit²

Given that the vertices;

F(-5,-7), G(-2,-5), and H(-6,-2)

We have to find the area of the triangle as;

Area of triangle = 1/2bh²

Here,

Area of triangle FGH = 1/2 (GH) (FG)²

Now,

Length of FG =  √26

Length of GH =  √10

Then,

Area of triangle FGH = 1/2 (GH) (FG)²

Area of triangle = 1/2 × √10 × √26²

Area of triangle = 1/2 × √10 × 26

Area of triangle FGH = 13√10

Therefore,

The area of the triangle FGH = 13√10 unit²

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Answer:

Step-by-step explanation:

You want the union and the intersection of the given sets D and E.

The union of the two sets is the list of elements in either set. It will contain all of the elements of D along with all of the elements of E, with duplicate values removed so that each element is only listed once.

The intersection of the two sets is the list of elements that appear in both sets. Any element that only appears in one of the sets is not part of the union.

<95141404393>

Answer:

See attached

Step-by-step explanation:

Refer to picture

Answer:

The total weight of the file was 64 mb.

Step-by-step explanation:

Given that Rachel downloaded a movie at a constant speed, and after she downloaded 40% of the movie, the remaining download time was 40 seconds, while after she downloaded 40 mb, the remaining download time was 16 seconds, to determine the total size of the movie rounded to the nearest mb, the following calculation must be performed:

100 - 40 = 60

60% = 40 seconds

40 mb = 16 seconds left

16/40 = 4/10

60/40 = 1.5

1.5% for every 1 second of download.

16 x 1.5 = 24

40 + 24 = 64

Thus, the total weight of the file was 64 mb.

Answer:

See Below.

Step-by-step explanation:

Problem A)

We have:

\(\displaystyle \csc^2\theta \tan^2\theta -1=\tan^2\theta\)

When in doubt, convert all reciprocal trig functions and tangent into terms of sine and cosine.

So, let cscθ = 1/sinθ and tanθ = sinθ/cosθ. Hence:

\(\displaystyle \left(\frac{1}{\sin^2\theta}\right)\left(\frac{\sin^2\theta}{\cos^2\theta}\right)-1=\tan^2\theta\)

Cancel:

\(\displaystyle \frac{1}{\cos^2\theta}-1=\tan^2\theta\)

Let 1/cosθ = secθ:

\(\sec^2\theta -1=\tan^2\theta\)

From the Pythagorean Identity, we know that tan²θ + 1 = sec²θ. Hence, sec²θ - 1 = tan²θ:

\(\tan^2\theta =\tan^2\theta\)

Problem B)

We have:

\(\sin^3x=\sin x-\sin x \cos^2 x\)

Factor out a sine:

\(\sin x(\sin^2 x)=\sin x-\sin x\cos^2 x\)

From the Pythagorean Identity, sin²θ + cos²θ = 1. Hence, sin²θ = 1 - cos²θ:

\(\sin x(1-\cos^2 x)=\sin x-\sin x\cos^2x\)

Distribute:

\(\sin x- \sin x \cos^2 x=\sin x-\sin x\cos^2 x\)

Problem C)

We have:

\(\displaystyle \frac{\cos 2x+1}{\sin 2x}=\cot x\)

Recall that cos2θ = cos²θ - sin²θ and that sin2θ = 2sinθcosθ. Hence:

\(\displaystyle \frac{\cos^2 x-\sin^2 x+1}{2\sin x\cos x}=\cot x\)

From the Pythagorean Identity, sin²θ + cos²θ = 1 so cos²θ = 1 - sin²θ:

\(\displaystyle \frac{2\cos^2 x}{2\sin x\cos x}=\cot x\)

Cancel:

\(\displaystyle \frac{\cos x}{\sin x}=\cot x\)

By definition:

\(\cot x = \cot x\)

Answer:

B. Reflection

Explanation:

We can see that the figure has been reflected on x = 4.

Both B and D has been flipped but A and C is same.

The image is congruent to the original shape.

If translation was done B and D would not have flipped.

If rotation was done, all the coordinates would shift.

Answer:

the answer to your question is B reflection

Step-by-step explanation:

Using the normal distribution, the probability that x is of at most 40, represented by option B, is given as follows:

\(P(X \leq 40) = 0.1587\)

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation of the distribution are given, respectively, by:

\(\mu = 51, \sigma = 11\)

The probability that x is of at most 40 is the p-value of Z when X = 40, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{40 - 51}{11}\)

Z = -1

Z = -1 has a p-value of 0.1587.

Hence the probability is:

\(P(X \leq 40) = 0.1587\)

Which is the part to the left of X = 40 of the distribution, hence option B is correct.

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Answer:

189

Step-by-step explanation:

let the number be n , then number multiplied by itself is n² and

n² = 567 × 63 = 35721 ( take square root of both sides )

n = \(\sqrt{35721}\) = 189

Answer:

A, C, and D

Step-by-step explanation:

Let's analyze each option:

A) As supply rises, prices generally decrease. This is true as supply and demand have an inverse relationship. The supply curve has a positive slope, showing that as the quantity supplied increases, the price increases. So, shifting the curve to the right does decrease the equilibrium price (assuming the demand curve doesn't fluctuate).

B) As demand decreases, costs generally increase. This is false because a demand curve shows that as the quantity of demand increases, the price decreases for the product. So, shifting the curve to the left only decreases the equilibrium price (assuming the supply curve doesn't fluctuate).

C) As supply decreases, prices increase. This is true because the supply curve has a positive slope, showing that as the quantity supplied increases, the price increases. So, shifting the curve to the left does increase the equilibrium price (assuming the demand curve doesn't fluctuate).

D) The average rate of change describes how much a quantity changes as price increases. This is true because the supply curve measures how much the quantity supplied increases as the price increases, while the demand curve measures how much the quantity demanded increases as the price decreases.

E) As demand rises, the price of the product decreases. This is false because a demand curve shows that as the quantity of demand increases, the price decreases for the product. So, shifting the curve to the right only increases the equilibrium price (assuming the supply curve doesn't fluctuate).

I've attached an example graph to help you visualize all of these factors.

Based on the information provided, it seems like there is a dataset that contains three values: 30, 39, and 45. The prompt states that each value appears a certain number of times in the dataset.

For example, the value 30 appears "time(s)" in the dataset, although we don't know exactly how many times it appears. Similarly, the value 39 appears a certain number of times, as does the value 45.

Without more information about the dataset, it is difficult to draw any conclusions about the significance or pattern of these values. It is possible that they are part of a larger dataset and represent only a small portion of the data.

Alternatively, they could be outliers or represent a significant trend in the data. Further analysis would be necessary to determine their meaning and significance.

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Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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Answer:

the answer is 2.828 or 99/35

Step-by-step explanation:

we convert -3.3 to fraction

-33/10*-6/7

we multiply

198/70

2.8285

2.83