I am initially standing 325 feet from the base of the building and see a bird at the top of the building. I walk 150 feet towards the building to get a closer view of the bird. If the bird is 225 feet above my line of sight, by how many degrees does the angle of my line of sight change from my initial position to my final position?

Answer:

536 cm is equal to 53.6 dm

Step-by-step explanation:

Answer:

=

Step-by-step explanation:

Answer:

27/36

Step-by-step explanation:

tan C = opp/adj

For angle C, the opposite leg is 27,a nd the adjacent leg is 36.

tan C = 27/36

Answer: 27/36

Answer:

The Candy Store

Step-by-step explanation:

In order to find the best buy, we have to find the unit price for each store. The first store we will look at is the Candy Store. To find unit prices, we must divide the price by the number of merchandise for sale, as shown here:

6.99 / 50 = 0.1398

This means each piece of gum costs a little less than 14 cents.

Moving on to Sweet Treats:

5.75 / 40 = 0.14375

Each piece of gum at this store costs a little more than 14 cents.

Last but not least, Chew-Chew's:

4.25 / 25 = 0.17

Each piece of gum here costs 17 cents.

Now, to determine which price is better, we have to go with the lowest unit price, which would be at the first shop, the Candy Store, which is your answer.

Hope this helps :)

The experimental probability of rolling a 1 or a 2 is 0.2.

Hence, Option A is correct.

We know that,

The experimental probability of an event is defined as the number of times the event occurred divided by the total number of trials.

In this case,

The event is rolling a 1 or a 3,

Which occurred ⇒  3 + 1

                           = 4 times.

Given that there are total number of trials = 20.

Therefore,

The experimental probability of rolling a 1 or a 3 = 4/20,

                                                                                = 1/5

                                                                                 = 0.2

Hence, the required probability is 0.2.

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The complete question is:

Sarah is playing a game in which she rolls a number cube 20 times. The results are recorded in the chart below. What is the experimental probability of rolling a 1 or a 3?

Number on cube:1,2,3,4,5,6

Number of times event occurs:3,6,1,5,3,2

A.0.2

B.0.3

C.0.6

D.0.83

Answer:

Step-by-step explanation:

Since the quadrilateral is inscribed into circle, its opposite angles are supplementary:

Substitute the values and solve for x:

Answer:

According to the property of Cyclic Quadrilateral

5x - 22 + 8x + 7 = 180

(5x + 8x) - (22 - 7) = 180

13x - 15 = 180

13x = 180 + 15

13x = 195

x = 195/13

x = 15

\( \\ \)

Answer:

A = 105 inches^2

Step-by-step explanation:

The area of the parallelogram is

A = bh

A = 7 inches * 15 inches

A = 105 inches^2

Finding the area of a parallelogram is very similar to finding the area to that of a rectangle.

The equation for area A is \(A=bh\) where b is the base length and h is the height.

We are given a base length of 15 inches, and the height of the parallelogram is 7 inches (not 9 inches).

\(A=(15 \text{ in})(7 \text{ in})\\\)

\(=105 \text{ in}^2\)

The area of the parallelogram is 105 square inches. Let me know if you need any clarifications, thanks!

To access the first element of an array of integers called "numbers," you can use the expression:
numbers[0]`
This expression uses the array name "numbers" and the index "0" to access the first element.

To access the last element of "numbers," assuming it contains 10 elements, use the expression:

`numbers[9]`

Here, we use the index "9" since arrays are zero-indexed, meaning the last element in a 10-element array has an index of 9.
To access the first element of the array called numbers, we would use the expression "numbers[0]."

To access the last element of the array, assuming it contains 10 elements, we would use the expression "numbers [9]" since arrays are zero-indexed in most programming languages.

To access the last element of the array regardless of its length, we can use the expression "numbers [numbers.length-1]," which subtracts 1 from the length of the array to access the last element.
To access the last element, regardless of its length, use the expression:

'numbers [numbers. length - 1]'

This expression uses the "length" property of the array to find the total number of elements and subtracts 1 to get the correct index for the last element.

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r+6  is the expression  represents the number of marbles that  conrad  has

Conrad has 6 more marbles than rory.

If r represents the number of marbles that rory has,

r = marbles that Rory has

r+6 = marbles that Conrad has

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Answer:

multiply

Step-by-step explanation:

2345567 in the subtract 578431111

Answer:

66356

Step-by-step explanation:

Product means multiply but if u meant something else

Answer:

It's 8 1/3.

---------------

I took the test. Also, don't mind the one with the 'X' I got it incorrect but the correct answer is the one with the checkmark.

Answer:

C. Six is to the left of the zero and negative six is to the right.

Step-by-step explanation:

Simple, think of a number line and zero is in the middle, to the left there is positive numbers, like six, and to the right there is negative six.

Answer:

After 60 minutes, Sam is 6 meters from the dock

Step-by-step explanation:

I looked at the number line and met up where 60 minutes was.

After 6 minutes, Sam is 60 meters from the dock

Correct option is D.

A straight line is an infinitely long line with no curves. A straight line can also be formed between two points, but the ends will be infinite. A straight line is a figure formed by connecting two points A (x1, y1) and B (x2, y2)  with the shortest distance and extending both ends to infinity.

General formula for a straight line:

The general equation for straight lines is given as ax + by + c = 0.

a, b, c are constants and

x,y are variables.

Slope is -a/b  

Given,

Graph of Distance to time is represented by an straight line

By the graph,

Line crosses from (0,20) and (3,40)

Equation of the line

y - y₁ = ((y₂ - y₁)/(x₂ - x₁))(x-x₁)

y - 20 = ((40 - 20)/(3 - 0))(x-0)

y - 20 = (20/3)(x)

y - 20 = 20x/3

y = 20x/3 + 20

Input x = 6

y = 20(6)/3 + 20

y = 120/3 + 20

y = 40 + 20

y = 60

When time = 6 minutes, distance between Sam and the dock is 60 meters.

Hence, Sam is 60 meters away from the dock after 6 minutes

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In order to compare the values of the coordinates in a specific parallelogram, you would need to know the numerical values of the coordinates and compare them directly.

Without knowing the specific values of the coordinates in the parallelogram, it is not possible to determine whether coordinate s or coordinate t represents a greater number. The coordinates in a parallelogram can have any numerical value, positive or negative, so it is not possible to make a general statement about which coordinate will always be greater.

In order to compare the values of the coordinates in a specific parallelogram, you would need to know the numerical values of the coordinates and compare them directly.

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Answer:

2440

Step-by-step explanation:

an=115

a=7

Sn=n/2(a+an) [Where n is no. of terms]

   = 40/2(7+115)

   = 20(122)

   = 2440

she can buy 10 cases

Step-by-step explanation:

200-159= 61

61÷5.99 = 10.1

The hydrologic cycle, also known as the water cycle, plays a crucial role in the Earth's natural processes. It involves the continuous movement of water between the Earth's surface, atmosphere, and underground reservoirs.

The importance of the hydrologic cycle can be understood by considering its various functions:

Transport: The hydrologic cycle facilitates the transport of water across the Earth's surface, including rivers, lakes, and oceans. This movement of water is vital for the distribution of nutrients, sediments, and organic matter, which are essential for the functioning of ecosystems.

Weathering and Contaminant Transport: Water plays a significant role in weathering processes, such as erosion and dissolution of rocks and minerals. It also acts as a carrier for contaminants, pollutants, and nutrients, influencing their transport through the environment.

Energy Balance: Water has a high heat capacity, which means it can absorb and store large amounts of heat energy. This property helps regulate the Earth's temperature and climate by transporting heat through evaporation, condensation, and precipitation.

Greenhouse Gas: Water vapor is a major greenhouse gas that contributes to the Earth's natural greenhouse effect. It absorbs and re-emits thermal radiation, trapping heat in the atmosphere. Approximately 80% of the atmospheric greenhouse effect is attributed to water vapor.

Life: Water is vital for supporting life on Earth. It provides a habitat for numerous organisms and serves as a medium for various biological processes. Terrestrial life forms, including plants, animals, and humans, rely on water availability for their survival, growth, and reproduction.

It is important to note that while water is critical for most terrestrial life forms, human beings have developed technologies and systems that allow them to inhabit regions with limited water availability. However, water still remains a fundamental resource for human societies, and the hydrologic cycle plays a crucial role in ensuring its availability and sustainability.

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Answer:

1) 26.1% increase

2) 20% decrease

Work:

1)

-subtract the larger # from the smaller # to figure out what the change was.

\(8.8 - 6.5 = 2.3\)

-divide 2.3 by the orriginal ammount (8.8) to find your answer as a decimal

\(2.3 \div 8.8 = 0.261\)

-take 0.261 and multiply it by 100 to have your answer as a percent

\(0.2614 \times 100 = 26.1\)

-if the original number increased than it is percent increase and if the original number decreased than it is percent decrease

2)

-subtract the larger # from the smaller # to figure out what the change was.

\(15 - 12 = 3\)

-divide 2.3 by the orriginal ammount (15) to find your answer as a decimal

\(3 \div 15 = 0.2\)

-take 0.2 and multiply it by 100 to have your answer as a percent

\(0.2 \times 100 = 20\)

-if the original number increased than it is percent increase and if the original number decreased than it is percent decrease

Answer:

0.33 hours or 20 minutes

Step-by-step explanation:

Speed is given as distance divided by time.

That is:

s = d / t

Therefore, time will be:

t = d / s

The train traveled a distance of 40 km at 120 km/h. Therefore, the time taken will be:

t = 40/120 = 0.33 hours or 20 minutes

Answer:

circumference equals about 3.14

Step-by-step explanation:

c=2pi times r

c=2 (3.14) times 0.5

c= about 3.14

Answer:

3.14(rounded to nearest hundredth)

__________________________________________________________

\(C = 2\pi r\)

Which is the same as ↓

\(2\pi r = 2 * \pi * r(0.5)\)

\(= 3.1415926535897932384626433832795\)

When a distribution is split into two groups, namely high scorers and low scorers, it is said to be bimodal. This kind of distribution is known as a bimodal distribution.

When students' test scores are grouped into one of two categories - high scorers that cluster at the top end of the score distribution or low scorers that cluster at the bottom end of the score distribution, statistics professors find that the distribution of test scores is bimodal.

In this type of distribution, there are two modes, or peaks, and the data distribution is skewed. When a distribution is bimodal, it means that there are two peaks in the data distribution, and the distribution is not symmetric.

Answer: A bimodal distribution is a distribution in which there are two peaks. It is not symmetric, and there is often a gap between the two peaks. A bimodal distribution is a data distribution that has two peaks.

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The major arc AEB has a measure of 229 degrees.

How to solve the Arc of the circle?

Since AD and CE are diameters of the circle, we know that angle AED is 90 degrees. Since all of the points A, B, C, D, and E lie on the circle, we can assume that angle AEB is also 90 degrees.

Let's call the intersection of BE and AD point F. Since angle AEB is 90 degrees, we know that triangle AEB is a right triangle and that BF is the altitude from B to AE.

Now, let's use some angle chasing to find the measure of angle EBF. Since angle BPC is 38 degrees and P is the center of the circle, we know that angle BAC (which is half of arc BC) is also 38 degrees. Similarly, angle CED is also 38 degrees.

Since angle EPD is 93 degrees and ED is a diameter, we know that angle EDP is 90 degrees. Therefore, angle PDE is 93 - 90 = 3 degrees.

Now, we can find angle CDF (which is half of arc CD) by subtracting the measures of angles CED, PDE, and PDC (which is 90 degrees).

angle CDF = (180 - angle CED - angle PDE - 90) degrees

= (180 - 38 - 3 - 90) degrees

= 49 degrees

Since AD is a diameter, we know that angle AFD is 90 degrees. Therefore, angle EBF is:

angle EBF = angle AFD - angle AFE - angle CDF degrees

= (90 - 90 - 49) degrees

= 41 degrees

Now, we can use the fact that angle AEB is 90 degrees and angle EBF is 41 degrees to find the measure of the major arc AEB.

The measure of minor arc AB is 90 degrees (since it is half of arc AEB), so the measure of major arc AEB is:

measure of major arc AEB = 360 - measure of minor arc AB - angle EBF degrees

= 360 - 90 - 41 degrees

= 229 degrees

Therefore, the major arc AEB has a measure of 229 degrees.

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Answer:

140, 60

Step-by-step explanation:

15x+5 + < CDB =180 line form an 180 angle

180-80-6x-6 = < CDB sum of angles in a triangle is 180

substitute < CDB from second to first

15x+5+180 -80-6x-6 =180

combine like terms

9x -81 =0

x=81/9=9

so angle YDC = 15*9+5 = 140 degrees

and angle DBC = 6*9+6= 60 degrees

Answer:

x = 2

Step-by-step explanation:

The triangle is reflected across the circle meaning it should be the same on both sides.

Answer:

5x-4=11

Step-by-step explanation:

so you multiply 5 times x (a number) and subtract 4 and it equals to 11

Answer:  The correct symbol is '<'.

Step-by-step explanation:

Given: In triangle GHJ

\(m\angle H=85^{\circ}\) and \(m\angle G=60^{\circ}\)

Here angle H is opposite to side JG and angle G is opposite to side HJ

We know that,

The side opposite to the greater angle of a triangle is greater.

Since \(m\angle H> m\angle G\)

Then, JG > HJ

Hence, HJ     <       JG

The expression that represents the volume of the cone is 6aπ.

What is called cone?

Given the data in the question;

Radius r = 3

Height h = 2a

Volume of the cone V = ?

We substitute our given values into the expression above.

V = (1/3) × π × r² × h

V = (1/3) × π × (3)² × 2a

V = (1/3) × π × 9 × 2a

V = 18aπ / 3

V = 6aπ

Therefore, the expression that represents the volume of the cone is 6aπ.

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The horizontal distance between the base of the ladder and the wall is approximately 16.06 feet.

To find the flat distance between the foundation of the  stool and the wall, we utilize geometry. For this situation, we can utilize the sine capability, which relates the contrary side of a right triangle to the hypotenuse and the point inverse the contrary side.

Let x be the flat distance between the foundation of the stepping stool and the wall. Then, utilizing the given point of 64 degrees, we can compose:

sin(64) = inverse/hypotenuse

where the hypotenuse is the length of the stepping stool, which is 18 feet.

Addressing for the contrary side, which is the even distance we need to find, we get:

inverse = sin(64) x hypotenuse

inverse = sin(64) x 18

inverse = 16.06 feet

Accordingly, the even distance between the foundation of the stepping stool and the wall is roughly 16.06 feet.

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Answer:

7-3x

Step-by-step explanation:

Because he is 7 years younger than 3 times his brother's age which equals x.

The expression that can be used to find Deepak's age is 3 times his brother's age minus 7. This expression represents the relationship given in the problem statement.

To find Deepak's age, we need to consider his brother's age as a variable, let's say x. Three times his brother's age would be 3x. Since Deepak's age is 7 years younger than three times his brother's age, we subtract 7 from 3x. Therefore, the expression becomes 3x - 7, which gives us Deepak's age in terms of his brother's age.

By substituting different values for x, representing Deepak's brother's age, into the expression 3x - 7, we can calculate Deepak's age based on his brother's age.

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