Nicholas is observing a piece of cargo being hoisted up the side of a ship. Nicholas is standing on a dock about 75 feet away. What trigonometric function models the height h in feet of the cargo as a function of the angle of inclination theta from Nicholasâs position on the dock to the cargo?

Answer:

26 miles

you welcomeeeeee

Answer:

45

Step-by-step explanation:

this is the answer you need

The value of vector 6v is equal to 30i + 24j and value of vector -3v is equal to  -15i - 12j.

Scalar multiplication of a vector written in terms of i and j means multiplying a vector by a scalar value, which scales the vector's magnitude while retaining its direction. To perform scalar multiplication of a vector, we simply multiply each component of the vector by the scalar value.

For example, suppose we have a vector v = 5i + 4j. To find 6v, we multiply each component of v by 6 to get 6v = (65)i + (64)j = 30i + 24j.

Similarly, to find -3v, we multiply each component of v by -3 to get -3v = (-35)i + (-34)j = -15i - 12j.

In both cases, we are scaling the original vector v by a factor of 6 and -3, respectively. The resulting vectors have the same direction as v, but their magnitudes are scaled accordingly.

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Answer:

(-6, -5)

Step-by-step explanation:

If you go left 9 times from 2, it goes to -6. Ex: 2, 1, 0, -1, -2, -3, -4, -5, -6. The same goes for 3 units up from -8.

The probability that 4 prefers A, 1 prefer B and 5 will have no preference = 0.0024

Here, in a certain town, 40% of the eligible voters prefer candidate a,

⇒ P(A) = 40%

⇒ P(A) = 0.4

10% prefer candidate b,

⇒ P(B) = 10%

⇒ P(B) = 0.1

and the remaining 50% have no preference.

⇒ P(T) = 50%

⇒ P(T) = 0.5

Also, the sample size = 10

So, the probability that 4 prefers A, 1 prefer B and 5 will have no preference would be:

P = ⁵C₄ (0.4)⁴ × ⁶C₁ (0.1) × (0.5)⁵

P = 0.0024

Therefore, the required probability is 0.0024

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Answer:

x = 23 and y = 20

Step-by-step explanation:

Answer:

If three or more points do not lie on the same straight line, then they are said to be non-collinear points. If any point of all the points is not on the same line, then as a group they are non-collinear points.

Pairs of numbers that have the same greatest common factor are: (12, 18) and (12, 30) and (18, 30) with a greatest common factor of 6.

The largest positive integer that divides two or more numbers without producing a remainder is known as the greatest common factor (GCF).

To find the greatest common factor (GCF) of two numbers, we need to find the largest number that divides both of them.

Let's start by listing the factors of each number:

12: 1, 2, 3, 4, 6, 12

18: 1, 2, 3, 6, 9, 18

20: 1, 2, 4, 5, 10, 20

30: 1,  2,  3,  5,  6,  10,  15,  30

Now we can compare the pairs of numbers and see which ones have the same GCF:

GCF(12, 18) = 6

GCF(12, 20) = 4

GCF(12, 30) = 6

GCF(18, 20) = 2

GCF(18, 30) = 6

GCF(20, 30) = 10

So the pairs that have the same GCF are:

12 and 18, with a GCF of 6

12 and 30, with a GCF of 6

18 and 30, with a GCF of 6

Therefore, Pairs of numbers that have the same greatest common factor are: (12, 18) and (12, 30) and (18, 30) with a GCF of 6.

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If the price of a camera was increased from $8000 to $9500, the percentage increase is 18.75%.

The percentage increase is computed by dividing the amount of increase by the original price of the camera.

Then, the resulting quotient is multiplied by 100.

The original price of the camera before the increase = $8,000

The new price of the camera = $9,500

The increase in price = $1,500 ($9,500 - $8,000)

The percentage increase = 18.75% ($1,500/$8,000 x 100)

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Answer:

x = -11/20 (x = -0.55)

The value of x in the perpendicular line is 30 degrees.

In the diagram m is parallel to n and m is perpendicular to line P. Therefore, perpendicular lines forms a right angle.

Therefore, let's find the angle x in the perpendicular line.

Hence,

3x = 90

divide both sides by 3

3x / 3 = 90 / 3

x = 30

Therefore, the value of x is 30 degrees.

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Options A and C have the same constant of proportionality between y and x as the given graph.

Rather than using values variable, theoretical physicists assess and illustrate claims using graphs. Typically, a graph point shows the relationship between several distinct objects. A graph is a particular kind of transportation system formed up of both groups and lines. The channels or borders should be fastened with glue. The numbers 1 through 4 and also the characters 2.5, certain individuals.

The graph shows a linear relationship between x and y, where as x increases, y also increases at a constant rate. The slope of the line is positive, which means that y increases as x increases.

To find relationships with the same constant of proportionality between y and x as the given graph, we need to look for equations that represent a straight line with a positive slope.

From the given options, two equations that represent a straight line with a positive slope are:

A) 6y = 8x (or y = 4/3 x)

C) y = 2x + 4

Therefore, options A and C have the same constant of proportionality between y and x as the given graph.

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The area of the Circular pool will be 1256 square feet.

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

Given, A pool that is surrounded by the Square shaped Deck.

Let " 20 feet" be the radius of the pool. that makes the side of the deck will be 20 + 20 = 40 feet

From the formula of the area of a circle:

Area of circle= pi * radius^2

In our case,

Area of the pool = 3.14 * 20 * 20

Area of the pool = 1256 Feet square

Area of the square made by deck = Side * side

Area of the square made by deck =  40 * 40 = 1600

Area of deck = area of Square - the area of the circle

Area of deck = 1600 - 1256

Area of deck = 344 Square feet

therefore, The area of the Circular pool will be 1256 square feet.

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Doubling the sample size while keeping the confidence level and sample proportion constant would result in a narrower one-proportion confidence interval.

Doubling the sample size is like adding more pixels to a picture, making the details clearer and the image sharper. Similarly, when keeping the confidence level and sample proportion constant, doubling the sample size results in a narrower one-proportion confidence interval. It's as if we're zooming in closer to the true population proportion, reducing the uncertainty and providing a more precise estimate. In essence, a larger sample size empowers us to capture the essence of the population with finer precision, painting a more vivid and accurate picture of reality.

In conclusion, increasing the sample size while maintaining the same confidence level and sample proportion leads to a more precise estimation, resulting in a narrower one-proportion confidence interval.

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Answer:

Step-by-step explanation:

Answer:

Following are the responses to the given question.

Step-by-step explanation:

In this question, the points values are missing which is why its solution can be defined as follows:

Let

\(l= (7,-1) \\\\m=(-2, 4)\\\\n =(6,5)\\\\\)

Formula:

\(d=\sqrt{((x_2-x_1)^2+(y_2-y_1)^2)}\)

For d1:

\(x_1=7, y_1=-1, x_2=-2, y_2=4\\\\\)

\(d=\sqrt{((-2-7)^2+(4+1)^2)}\)

  \(=\sqrt{((-2-7)^2+(4+1)^2)}\\\\=\sqrt{((-9)^2+(5)^2)}\\\\=\sqrt{(81+25)}\\\\=\sqrt{(106)}\\\\=10.29\)

For d2:

\(x_1=7, y_1=-1, x_2=6, y_2=5\\\\\)

\(d=\sqrt{((6-7)^2+(5+1)^2)}\)

  \(=\sqrt{((-1)^2+(6)^2)}\\\\=\sqrt{(1+36)}\\\\=\sqrt{(37)}\\\\=6.08\)

The first distance value is greater than the second distance value.

Answer:

The 3rd one :))

Step-by-step explanation:

I learned it in class lol

ANSWER:

1. translation: 3 units right and 1 unit down

2. 130°

Answer:

\(\large\boxed{\boxed{x = \begin{cases} \frac{ \sqrt{3} }{2} + 2 \\ - \frac{ \sqrt{3} }{2} + 2 \end{cases}}}\)

Step-by-step explanation:

Answer:

Andy's house to Billy's hometown 15 ways

Andy's house to Willie's hometown 2 ways.

Step-by-step explanation:

Andy's house to Billy's hometown there are 3 roads. There 5 road from billy's hometown to Willie's house . In total there will be 15 ways to travel which is calculated by 3 * 5. For traveling to Willie's hometown there will be two ways. There are two roads that are built to get to Willie's house.

The property of the average of any two odd integers being odd is true for all integers.

This is because the sum of any two odd integers is always an even integer. For example, if we take any two odd integers, say 3 and 7, then the sum of these two is 10, an even integer. Therefore, the average of 3 and 7, which is (3 + 7)/2, is also an even integer, in this case, 5.

Since all even integers are divisible by 2, the average of any two odd integers must be an odd integer.

Therefore, the property is true for all integers.


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Smplifying the expression gives a value equal to 16

BODMAS is a mathematical acronym that stands for;

Given the expression;

10 + 3(12 ÷ (3(2))

Expand the bracket

10 + 3( 12÷ 6)

10 + 3( 12/6)

Divide the numbers in the bracket

10 + 3(2)

10 + 6

Add the values

= 16

Thus, simplifying the expression gives a value equal to 16

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Answer:

172.5

Step-by-step explanation:

The formula for the surface area of a right circular cone (the following shape) is πr( r + √h^2 + r^2). Since the radius (r) is already given (3) and the height (h) is already given (15), you just replace each r with 3 and h with 15. After solving this out, you should get 172.45, which rounds to 172.5 to the first decimal place

Answer:

I think that x would be 32

Step-by-step explanation:

11 plus 21 is 32

Answer: 27/45 > 20/45

Step-by-step explanation:

You must make the denominator of each fraction equivalent while keeping the value of each individual fraction the same.

3/5 x (9/9) = 27/45

4/9 x (5/5) = 20/45

27/45 > 20/45

Answer: 27/45 > 20/45

Step-by-step explanation:

You must make the denominator of each fraction equivalent while keeping the value of each individual fraction the same.

3/5 x (9/9) = 27/45

4/9 x (5/5) = 20/45

27/45 > 20/45

Answer:y=(x-6)^2-4

Step-by-step explanation:

Answer:

f(x) = (x + 3)² - 13

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

Given

f(x) = x² + 6x - 4

Using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 6x

f(x) = x² + 2(3)x + 9 - 9 - 4

f(x) = (x + 3)² - 13 ← in vertex form

I believe the answer is football.

The process of counting the number of observations is knowns as Tabulation.

The logical representation of the numerical data written in rows and columns is known as tabulation. It helps in to facilitate the statistical analysis. The data that can be organized in the form of table is termed as tabulation. The data in the table can be represented in a systematic manner. The main objective of tabulation is to present the systematic data in a brief manner.

There are two types of tabulation. They are:

1.Simple tabulation

2.Complex tabulation

A simple example for the tabulation is, The population of the people is divided into religion, caste, gender, age etc.

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The area A of the rectangle as a function of the length, L of one of its sides is A = 8L - L²

The perimeter of a rectangle is P = 2(L + W) where

Given that P = 16 m,

P = 2(L + W)

16 = 2(L + W)

16/2 = L + W

L + W = 8

So, W = 8 - L

The area of the rectangle, A = LW where

Since W = 8 - L, substituting W into the equation for A, we have

A = LW

A = L(8 - L)

A = 8L - L²

So, the area A of the rectangle as a function of the length, L of one of its sides is A = 8L - L²

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