Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on
her phone that will measure an angle of elevation. She determined she was 100 feet from the base of the
building. She held her phone (with the app) at eye level (about 5 feet off the ground) and measured the angle
of elevation to the top of the building to be 82°. What is the height of the building to the nearest foot?

The differential dy of y = tan(x) is given by dy = sec^2(x) dx. Evaluating dy for x = π/4 and dx = -0.1 gives approximately dy = -0.2005.

To find the differential dy of y = tan(x), we differentiate the function with respect to x using the derivative of the tangent function. The derivative of tan(x) is sec^2(x), where sec(x) represents the secant function.

Therefore, we have dy = sec^2(x) dx as the differential of y.

To evaluate dy for a specific point, in this case, x = π/4 and dx = -0.1, we substitute the values into the differential equation. Using the fact that sec(π/4) = √2, we have:

dy = sec^2(π/4) dx = (√2)^2 (-0.1) = 2 (-0.1) = -0.2.

Thus, evaluating dy for x = π/4 and dx = -0.1 yields dy = -0.2.

Note: The numerical value may vary slightly depending on the level of precision used during calculations.

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Answer:

x = 7

Step-by-step explanation:

(x + 6) - (2x-1)

= x - 2x + 6 + 1

= -x + 7

x = 7

Answer:

-15 feet down since he climbed 10 plus 5 more lol

By evaluating the inequality in u = 2, we will see that the inequality becomes false, thus, u = 2 is not a solution.

Remember that a value is a solution of an inequality only if the inequality becomes true when we evaluate it in the given value.

In this case, the inequality is:

u + 7 < 4

And we want to see if the value u = 2 is a solution, so let's evaluate the inequality:

2 + 7 < 4

9 < 4

That inequality says "9 is smaller than 4", this is false, so the value u = 2 is not a solution of the inequality.

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The constant of proportionality of the equation is 29.4

If the amount of money an accountant makes, m, is directly proportional to the time taken, this is expressed as:

m = kh

where;

k is the variation constant

Given that the amount of money an accountant makes, m, for working h hours is represented by the equation m = 29.4h, the variation constant is calculated as:

29.4h = kh

k = 29.4

Hence the constant of proportionality of the equation is 29.4

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I think it's b bro if not c or d could be a

The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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Answer: A , C

Step-by-step explanation: this is 7th grade work

Answer:

66%

Step-by-step explanation:

The experimental probability of winning 5 or more tickets is 90%

To do this, we simply add the probability values of the bars that have a value of 5 or more

So, we have:

P(x >= 5) = (5 + 8 +17 + 19 + 20 + 21)%

Evaluate the sum

P(x >= 5) = 90%

Hence, the experimental probability of winning 5 or more tickets is 90%

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Answer:

x=3

Step-by-step explanation:

5(x+2)-12=3x+4

5x-2=3x+4

2x= 6

x=3

Answer:

3

Step-by-step explanation:

y+3=-y+9

Move -y to the left and move +3 to the right and change the + into a -

y+y=-3+9

Calculate

2y=6

Divide both members by 2

y=3

Answer:

Step-by-step explanation:

2590

The equation of the variable y in terms of x is y = -2x + 16

From the question, we have the following parameters that can be used in our computation:

(2, 12) and (6, 4)

A linear equation is represented as

y = mx + c

Substitute the given points in the above equation, so, we have the following representation

2m + c = 12

6m + c = 4

When the equations are subtracted, we have

-4m = 8

So, we have

m = -2

Next, we have

2(-2) + c = 12

Evaluate

c = 16

Recall that

y = mx + c

So, we have

y = -2x + 16

Hence, the variable y in terms of x is y = -2x + 16

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The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring, this statement is false.

The union of two or more sets refers to the set with all the elements belonging to each set. An element is said to be in the union if it lies to at least one of the sets.

The intersection of two or more sets refers to the set of elements universal to each set. An element is in the intersection if it occurs in all of the sets.

The event that both A and B occur is the intersection of the events A occurs and B occurs. As such, it is a subset of each and cannot, therefore, have a larger probability than either one individually.

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Answer:

31.5 ft

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

Plug in the knowns

a² + 23² = 39²

Subtract 23² from both sides

a² = 39² - 23²

a² = 1521 - 529

a² = 992

Take the square root of both sides

a = 31.496031496

Rounded

a = 31.5 ft

The bottom of the ladder from the bottom of the building will be equal to 31.5 ft.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given instructions in the question,

Use the equation of Pythagoras's theorem

a² + b² = c²

Put in the known values in the above equation,

a² + 23² = 39²

a² = 39² - 23²

a² = 1521 - 529

a² = 992

a = √992

a = 31.496 or,

a = 31.5 ft

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Mr. Lawrence's bee farm has a population of about 250,000 bees. Mrs. Zhang’s bee population is 1/10 as large as Mr. Lawrence’s bee population to arrive at this estimate.

In this question, we are given information about the bee populations of two bee farms belonging to Mrs. Zhang and Mr. Lawrence. It is said that Mrs. Zhang’s bee population is 1/10 as large as Mr. Lawrence’s bee population and that her bee population is about 25,000. We need to find out the estimated bee population of Mr. Lawrence’s bee farm.

To solve this problem, we can use the information given to us about the relative size of the two bee populations. It is said that Mrs. Zhang’s bee population is 1/10 as large as Mr. Lawrence’s bee population. Therefore, if we multiply Mrs. Zhang’s bee population by 10, we will get an estimate of Mr. Lawrence’s bee population.

Mrs. Zhang’s bee population is said to be about 25,000, so if we multiply this by 10, we will get an estimate of Mr. Lawrence’s bee population. Therefore, 25,000 x 10 = 250,000, which is the estimated bee population of Mr. Lawrence’s bee farm.

It is important to note that the word "about" is used in the question to indicate that the answer is an estimate. We cannot be sure that Mr. Lawrence’s bee population is exactly 250,000, but it is likely to be close to this number.

In conclusion, we can estimate that Mr. Lawrence’s bee population is about 250,000 based on the information given in the question. We used the fact that Mrs. Zhang’s bee population is 1/10 as large as Mr. Lawrence’s bee population to arrive at this estimate.

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The sequence of transformations used to show the congruence of polygons JKLMN and PQRST is to reflect PQRST across the y-axis and then translate the result down 10 units.

We are given two polygons. Both the polygons are congruent, and to prove it, we can use the concept of transformations. The first transformation we need to perform is to reflect the polygon PQRST across the y-axis. The next transformation that needs to be performed is to translate the result down by 10 units. We find that the polygon PQRST now coincides with the polygon JKLMN. Hence, it is proved that the polygons are congruent to each other.

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Answer: x=5

Step-by-step explanation:

Answer: C

A

B

D

Step-by-step explanation:

Answer:

x=3 hope this helps (:

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Answer:

1st: -3

2nd: 2

3rd: DNE

4th: -1

Step-by-step explanation: Just got it right! :]

The statement "a line segment is a part of a line that is bounded by two distinct end points and contains every point on the line between its endpoints." is True because a line segment is defined as a part of a line that is bounded by two distinct end points and contains all the points on the line between those endpoints.

A line segment is a part of a line that has two endpoints and connects them. It is the shortest distance between two points and has a definite length, but no width or height. A line segment can be part of a straight line or a curved line.

A line segment is a section of a line that is defined by two distinct end points and includes every point on the line between them. It is the basic building block of geometry and can be used to measure distances, angles, and shapes.

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Using the gradient formula, we can find the equation of the line H: y - 1 = 5/4(x - 3). Setting y = 21 and solving for x, we get the value of p is 19.

We can use the formula for calculating the gradient of a straight line:

Gradient = (y2 - y1) / (x2 - x1)

Where (x1, y1) and (x2, y2) are the coordinates of two points on the line.

We are given the gradient of the line as 5/4, and the coordinates of point A as (3,1). Let the coordinates of point B be (p,21). Then we can write the equation:

(21 - 1) / (p - 3) = 5/4

Simplifying this equation, we get:

20 / (p - 3) = 5/4

Multiplying both sides by (p - 3), we get:

20 = 5(p - 3) / 4

Multiplying both sides by 4, we get:

80 = 5(p - 3)

Dividing both sides by 5, we get:

16 = p - 3

Adding 3 to both sides, we get:

p = 19

Therefore, the value of p is 19.

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Answer:

x=3 y=4

Step-by-step explanation:

5(4)=20

4(3)= 12

20-12=8

4+3=7

Answer:

The answer is B(65)

Step-by-step explanation:

you just do 180 - JCB  = 65

so you do 180-65=115

hope this helps

Answer:

x = -4

Step 1: Take all the constants on one side and the variables on the other.

(2 × x) + 12 = 4

=> (2 × x) = 4 - 12

(2 × x) = -8

Step 2: Divide 2 both sides to isolate 'x'.

=> \(\frac{2x}{2}\) = \(\frac{-8}{2}\)

=> x = -4

Hoped this helped.

Each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.Option B,E,F.

Each chart has the following three components:

1. B. A center line representing the average: This line is drawn to show the average value or mean of the data being analyzed. It provides a reference point to compare the data points above and below it.

2. E. An upper line representing the maximum acceptable variation upwards: This line is drawn to indicate the upper limit of acceptable variation or deviation from the average. It helps identify if the data points exceed the acceptable range.

3. F. A lower line representing the maximum acceptable variation downwards: This line is drawn to indicate the lower limit of acceptable variation or deviation from the average. It helps identify if the data points fall below the acceptable range.

These three components together create a control chart, which is a graphical representation used in statistical process control. Control charts help monitor and analyze data over time, allowing organizations to identify trends, detect abnormalities, and make data-driven decisions to improve processes and quality.

In summary, each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.

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The volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e^-x and the line x = 8 about the line x = 8 is approximately 1483.6 cubic units.

To find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e^-x and the line x = 8 about the line x = 8, we can use the method of cylindrical shells.

To find the volume of the solid, we need to integrate the area of each cylindrical shell over the height of the solid. Let r be the radius of a cylindrical shell at height y, and let h be the thickness of the shell. Then the volume of the shell is given by:

dV = 2πrh × h

where the factor of 2 comes from the fact that there are two cylindrical shells (one on either side of the line x = 8).

We can express r and h in terms of y:

r = 8 - y

h = e^8 - e^-x

Substituting these expressions into the formula for dV and integrating from y = 0 to y = 1, we get,

V = ∫(0 to 1) 2π(8 - y)(e^8 - e^-x) dy

= 2π ∫(0 to 1) (8e^8 - 8e^-x - ye^8 + ye^-x) dy

= 2π [8e^8 - 8e^-1 - (1/2)e^8 + (1/2)e^-1]

= 2π [15e^8 - 4e^-1]

≈ 1483.6 cubic units

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The given question is incomplete, the complete question is:

Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e^-x and the line x = 8 about the line x = 8.