The measures of exterior angles of a regular polygon with n numbers of sides ______ as n increases.

increases
decreases
remains the same,

To find the number of pixels brighter than 163 gray levels in a digital camera histogram, calculate the Z-score and use it to determine the percentage of values above that score, resulting in 160,000 pixels.

A gray-scale digital camera with 1,000,000 pixels has a histogram with a mean of 125 and standard deviation of 15 gray levels. To find the number of pixels brighter than 163 gray levels, first calculate the Z-score for 163: Z = (163 - 125) / 15. Then, use a Z-table or calculator to find the percentage of values above this Z-score, which corresponds to the number of pixels brighter than 163.

The answer to the question is 160,000 pixels brighter than 163 gray levels.

Answer:

2 solutions

Step-by-step explanation:

Given the equation sin(4x)=1/2, to know the total number of solutions that the equation has within the interval (0,2π), we will need to solve for x first.

sin(4x)=1/2

4x = arcsin1/2

4x = 30°

x = 30/4

x1 = 7.5° (This angle lies in the first quadrant)

Since sine is positive in the second quadrant as well and the angle in the second quadrant is (180°-theta) where theta is 7.5°, therefore;

x2 = 180-7.5°

x2 = 172.5°

Therefore 7.5° and 172.5° are the two solutions of x that falls within the range (0,2π)

One inch on the map is equal to 1000 miles.

To find what one inch would equal on the map, we can set up a proportion using the given information. We know that three-fourths of an inch on the map equals 750 miles. Therefore, the proportion would be: 3/4 inch = 750 miles. To find what one inch would equal, we can cross multiply and solve for the missing value:

3/4 inch * 1 inch = 750 miles * 1 inch

Simplifying, we get: 3/4 = 750 miles * 1 inch

Dividing both sides by 3/4, we get: 1 inch = (750 miles * 1 inch) / (3/4)

Simplifying further, we find that one inch on the map is equal to 1000 miles.

Answer:   [tex]a.\ 129,400\ ft^3[/tex]

Step-by-step explanation:

The volume of a cylinder is given by:-

[tex]\text{Volume}=\pi r^2h[/tex]

Given: The diameter of cylinder = 203 ft.

Then the radius of the cylinder =[tex]\dfrac{203}{2}[/tex] ft.

The height of the cylinder = 4 ft.

Now, The volume of cylinder :will be -

[tex]\text{Volume}=(3.14)(\dfrac{203}{2})^2(4)=\\\\\Rightarrow\text{Volume}=129,396.26\approx129,400\ ft^3[/tex]

The variation is a direct variation, and the function to model it is y = 3x

From the table, we can see that:

The y values are calculated by multiplying the corresponding x values by 3

Take for instance;

When x = 3, y = 9

When x = 9, y = 27

Using the above pattern, the function to model the table is y = 3x

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Answer:

B. Neither

Step-by-step explanation:

Jake has shifted the (B) social-psychological context by moving to a quieter, more private space in the stadium to ask Diane a serious question, which changes the norms and atmosphere to match the situation's gravity.

Jake has changed the social-psychological context by moving from the stands to a quiet lounge. The social-psychological dimension of context includes status relationships among participants, roles, norms of the society or group, and the overall atmosphere like friendliness, formality, or gravity of the situation. By choosing to ask Diane a serious question in a quieter, more private environment, Jake is altering the norms and atmosphere to better suit the gravity of the conversation he intends to have, thus changing the social-psychological context.

Answer:  

The measure of the base angle = 45°

Step-by-step explanation:

For better explanation of the solution see the attached figure of the diagram :

Given : An isosceles right triangle ABC

To find : Measure of the base angle

Solution :

Since, The triangle is right angle triangle.

⇒ m∠B = 90°

Also, ΔABC is an isosceles triangle

So, AB = BC

Now, Angles opposite to equal sides are equal

⇒ m∠A = m∠C

Now, Using Angles sum property of a triangle

⇒ m∠A + m∠B + m∠C = 180°

⇒ m∠C + 90° + m∠C = 180°

⇒ 2m∠C = 180° - 90°

⇒ 2m∠C = 90°

⇒ m∠C = 45°

Hence, The measure of the base angle = 45°

Answer:

(square root) 30

Step-by-step explanation:

I don't know if that's right I'm taking this test right now it might be wrong sorry if its wrong lol

Answer: The missing term of the Geometric sequence can be 150.

Step-by-step explanation:

Let the missing number is x,

Hence, the G.P. will,

50, x, 450

Since, the consecutive element of G.P. are in same ratio,

[tex]\implies \frac{x}{50}= \frac{450}{x}[/tex]

[tex]\implies x^2 = 50\times 450 = 22500[/tex]

[tex]\implies x = 150[/tex]

Thus, the missing term of the Geometric sequence can be 150.

Answer:

the answer  60

Step-by-step explanation:

First I did 10x7 which equals 70, Second I did 5x7 which equals 35 and then subtracted 5 to get 30, Third I did 100-70 to get 30 and than I did 30+30 to get 60.

Answer:

Choices B, C, and D are correct.

Step-by-step explanation:

Euclid's Five postulates are as follows:

1. A straight line segment may be drawn from any given point to any other.

2. A straight line may be extended to any finite length.

3. A circle can be drawn with any center and radius.

4. All right angles are congruent/equal to each other.

5. Through a point not on a given line, there is exactly one line parallel to the given line.

Now looking at these postulates and the choices we are given we see that only choice B, C, and D match with above.

From the options given, the statements that are among the five basic postulates of Euclidean Geometry are: B, C, and D.

The five (5) basic postulates are:

Therefore, from the options given, the statements that are among the five basic postulates of Euclidean Geometry are: B, C, and D.

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Answer: the answer is FALSE. Just took this on a p e x

Step-by-step explanation:

Answer:

B) x - 12 ≥ 18.

Step-by-step explanation:

Given : Twelve fewer than a number is at least 18.

To find : Which inequality represents the following sentence?.

Solution : We have given

Twelve fewer than a number is at least 18.

Let the number be  x .

According to question :

Twelve is less than a number x .

x - 12  ( negative sign used for fewer).

x - 12 ≥ 18.

Here we used greater than equal to sign because x- 12 is at least 18 mean is must be 18 or greater than 18.

Then equation become x - 12 ≥ 18.

Therefore, B) x - 12 ≥ 18.

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If 1 gallon covers 350 square feet.

2.5 gallons will cover 875 square feet.

It is the quantity of an amount of something at a rate of one of another quantity.

Example:

A man can walk 8 miles in 2 hour

In one hour, the man can walk for 4 miles

We have,

One gallon covers 350 square feet.

This can be written as:

1 gallon = 350 square feet

Multiply both sides by 2.5.

2.5 x 1 gallon = 2.5 x 350 square feet

2.5 gallons = 875 square feet

Thus,

If 1 gallon covers 350 square feet.

2.5 gallons will cover 875 square feet.

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