For a project in his Geometry class, Yusuf uses a mirror on the ground to measure the height of his school building. He walks a distance of 13.95 meters from the school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 2.15 meters to the other side of the mirror, until he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.35 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.

Answers

Answer 1

The height of the school is 9 meters.

What is proportion?

A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls. 0.25 are boys (by dividing 1 by 4).

Angle of incidence = Angle of reflection

As we can see in the picture attached, both the angles (θ) are equal.

m∠ACB = m∠ECD = 90° - θ

m∠ABC = m∠ADC = 90°

Therefore, both the triangles ΔABC and ΔEDC will be similar.

And by the property of similar triangles, their corresponding sides will be proportional.

 AB/ED = CB/CD

1.35/ED = 2.15/13.95

     ED = 8.75 meters

     ED ≈ 9 m.

Hence, the height of the school is 9 meters.

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For A Project In His Geometry Class, Yusuf Uses A Mirror On The Ground To Measure The Height Of His School

Related Questions

Algebra 2 I want to know if I get it correct

Algebra 2 I want to know if I get it correct

Answers

Aymptotes exist when a function gets very close to a value but never reaches it, for vertical asymptotes we draw vertical lines, in this case, at x equals 2, for horizontal asymptotes draw a horizontal line, in this case at y equals 1.

Theo bought a pair of shoes on sale for 20% off the regular price. A
6.50 sales tax was added to the price of the shoes. Which expression
represents the total cost of the shoes with original price s?
A) (0.2s)1.065
B) (0.8s)1.065
C) 0.83 + 1.065s
D) 0.2s + 1.0655

Answers

Answer:

c

Step-by-step explanation:

i think soo

Calculate the measures of variability for the data set. The range is

Answers


There are four frequently used measures of variability: the range, interquartile range, variance, and standard deviation. In the next few paragraphs, we will look at each of these four measures of variability in more detail.!!!!!!!!

A bus arrives at the bus depot every half hour from 6:00am until 7:00pm every day. How many times in a week does a bus arrive at the depot?

Answers

Answer:

175

Step-by-step explanation:

0 = 6:00 am

1 = 6:30 am

2 = 7:00 am

3 = 7:30 am

4 = 8:00 am

5 = 8:30 am

6 = 9:00 am

7 = 9:30 am

8 = 10:00 am

9 = 10:30 am

10 = 11:00 am

11 = 11:30 am

12 = 12:00 pm

13 = 12:30 pm

14 = 1:30 pm

15 = 2:00 pm

16 = 2:30 pm

17 = 3:00 pm

18 = 3:30 pm

19 = 4:00 pm

20 = 4:30 pm

21 = 5:00 pm

22 = 5:30 pm

23 = 6:00 pm

24 = 6:30 pm

25 = 7:00pm

25 * 7(days a week) = 175

Need help asap pls
In the photo

Need help asap plsIn the photo

Answers

Answer:

26 is my guess

There is three nominated persons X, Y & Z for the position of team leader.
X= 50% Y= 25% What is the percentage win ratio for the winning of nominators X OR Y and X AND Y?

Answers

The percentage win ratio for the winning of nominators X OR Y is 75%.

To calculate the percentage win ratio for the winning of nominators X OR Y, we need to consider their individual winning probabilities. For X, the winning percentage is 50%, and for Y, it is 25%.

X OR Y means either X wins or Y wins. Therefore, we sum up their individual winning percentages:

Percentage win ratio (X OR Y) = X's percentage + Y's percentage = 50% + 25% = 75%


X AND Y implies a scenario where both X and Y win together, which is not possible in this context as there can only be one winner for the position of team leader. So, the percentage win ratio for X AND Y is not applicable here.

The percentage win ratio for the winning of nominators X OR Y is 75%.

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This measure of central tendency can be considered the most precise.
a. mode
b. median
c. mean
d. average

Answers

This measure of central tendency can be considered the most precise in option c. mean

The mean is a measure of central tendency that calculates the average of a set of values. It is often considered the most precise measure because it takes into account all the values in the dataset and provides a balanced representation.

The mean is calculated by summing all the values and dividing by the total number of values. Unlike the mode, which only identifies the most frequently occurring value, and the median, which represents the middle value, the mean incorporates all the values and provides a comprehensive summary of the dataset.

However, it is important to note that the mean can be sensitive to extreme values or outliers in the data.

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In the figure below find the exact value of z (do not approximate your answer)

In the figure below find the exact value of z (do not approximate your answer)

Answers

z = √35 is the ratio of the long leg to the hypotenuse and the exact value of z are shown in the diagram below.

what is triangle ?

Since a triangle has three sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker given to a triangle that has vertices A, B, and C. When the three points are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and three corners. The points where the three sides meet are known as the triangle's corners.

given

The ratios of the long leg to hypotenuse are the same for all right triangles since they are similar:

z/7 = 5/z

When z2 equals 35, multiply by 7z.

z = √35

z = √35 is the ratio of the long leg to the hypotenuse and the exact value of z are shown in the diagram below.

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how can knowledge of circles apply to daily life??

Answers

Answer:

sdgsdgsdgsdgsdgsd

Step-by-step explanation:

gsdgsdgsdgsdgsd

the angle of elevation of the top of a vertical pole from the 1.54m above the horizontal ground is 40 degrees, the foot of the pole is on the same horizontal group and the point of observation is 20m from the pole.
i) find the height of the pole
ii) the angleof depression of the foot of the pole from the point of the observation​

Answers

Answer: the height of the pole is 16.782 meters

Step-by-step explanation: Let us take the height of the pole as "h".

i) Finding the height of the pole:

distance from the pole is 20m.

The angle of elevation is 40°

\(tan(40°) = h/20\)

Multiply both sides by 20:

\(20 * tan(40°) = h\)

\(h ≈ 20 * 0.8391 ≈ 16.782 meters\)

Therefore, the height of the pole is 16.782 meters.

ii) Finding the angle of depression

The angle of depression is the angle formed between the horizontal ground and the line of sight from the point of observation to the foot of the pole.

angle of depression = angle of elevation = 40°

Therefore, the angle of depression of the foot of the pole from the point of observation is 40°.

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Final answer:

Using trigonometric methods, it is determined that the height of the pole is found by using the formula for tangent, and adding the height of the observer. The angle of depression equals the angle of elevation, so both are 40 degrees.

Explanation:

To solve the problem, we use the properties of a right triangle and trigonometric functions. Since we know the angle of elevation and the length of one side, we can find the length of the other side using the tangent function.

For the height of the pole: we know that tan(θ) = opposite/adjacent, so,
tan(40) = height/20
height = tan(40) * 20

Let's denote the observer's height as h=1.54m, so the total height of the pole is height + h.

For the angle of depression: In a right triangle, the angle of depression and the angle of elevation are equal. Therefore, the angle of depression is also 40 degrees.

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Unanswered Submit FE Q3 Homework Unanswered A profit-maximizing firm decides to shut-down production in the short-run. Its total fixed cost of production is $100, Le. TFC $100. Which of the following statements is true? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a If the firm produced, the firm's total variable cost would have been higher than $100. b If the firm produced, the firm's losses would have been higher than $100. C If the firm produced, the firm's total variable cost must be lower than $100. d If the firm produced, the firm's revenues would have been lower than $100. Subm Unanswered Fullscrees

Answers

The correct statement is (b). If the firm produced, the firm's losses would have been higher than $100.

The true statement in this scenario is that if the firm produced, the firm's losses would have been higher than $100. This is because in the short-run, a firm may decide to shut-down production if the revenue it generates is not sufficient to cover its variable costs, let alone its fixed costs. In this case, the firm's fixed cost is $100 and if it were to produce, it would incur additional variable costs. Therefore, the firm would choose to shut-down production in the short-run to minimize its losses. This decision is based on the fact that the firm cannot change its fixed costs in the short-run, but it can minimize its losses by minimizing its variable costs. In summary, the firm's decision to shut-down production is rational because its losses would have been higher than $100 if it produced.

A profit-maximizing firm decides to shut down production in the short-run when its total revenue is less than its total variable cost. This is because, by shutting down, the firm can minimize its losses and only incur the total fixed cost (TFC) of $100. If the firm produced and its total variable cost was higher than $100, it would still shut down because the firm would experience greater losses by continuing production. This aligns with statement (b). Statements (a), (c), and (d) do not accurately describe the firm's decision to shut down production in the short-run. The key factor is comparing the firm's total revenue to its total variable cost to determine if shutting down minimizes losses.

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find area of circle ​

find area of circle

Answers

Answer:

should be 314.16 possible that is incorrect because I calculated it by pie and not by 3.

Answer:

A = 314 cm^2

Step-by-step explanation:

A = pi x r^2

A = 3.14 x (10 x 10)

A = 3.14 x 100

A = 314 cm^2

Order each step and justification that is needed to solve the equation below. -2x = 28 - 6x Steps Justifications -2r = 28 - 61 Given - 2x + 6r 28 - 61 + 61 Simplification Simplification Division property of equality -41 28 28 4 r = 7 r = - 7 4r = 28 - 4x = 28 Addition property of equally

Answers

-2x = 28 - 6x --------------------------> Given

-2x + 6x = 28 - 6x + 6x------------------------------>Addition property of equality

4x = 28 -----------------------------------------> Simplification

4x/4 = 28/4 --------------------------------->Division property of equality

x = 7 --------------------------------------->Simplification

17b hydroxy 2a 17b dimethyl 5a androstan 3 one azine

Answers

The given term seems to include various descriptors, such as "17b hydroxy," "2a," "17b dimethyl," "5a," and "androstan 3 one azine." These descriptors likely refer to specific chemical features or substitutions present in the compound.

The term "17b hydroxy 2a 17b dimethyl 5a androstan 3 one azine" appears to be a chemical compound or a steroid compound. However, without additional information or context, it is challenging to provide an accurate description or explanation for this specific compound.Chemical compounds are typically described using a combination of systematic names, common names, or molecular formulas. These names are based on standardized nomenclature systems developed by scientific organizations.

In this case, the given term seems to include various descriptors, such as "17b hydroxy," "2a," "17b dimethyl," "5a," and "androstan 3 one azine." These descriptors likely refer to specific chemical features or substitutions present in the compound.To provide a more detailed explanation, it would be helpful to have the systematic name, molecular formula, or additional information about the compound's structure, properties, or usage. With these details, it would be possible to provide a more accurate and informative description of the compound.

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Ms. Switer needs to buy sod for the front lawn of her new house . if the lawn measures 36 2/3 ft by 45 1/6 ft, how many square feet of sod will she need

Answers

Ms. Switer will need approximately 2981.388 square feet of sod for her front lawn.

What is Area?

Area is the measure of the amount of space inside a two-dimensional (2D) flat surface or shape, such as a rectangle, circle, or triangle. It is typically measured in square units, such as square meters or square feet. The formula for finding the area of a shape varies depending on the shape itself.

To find out how many square feet of sod Ms. Switer will need, we need to find the area of the lawn. The formula for the area of a rectangle is length x width. Therefore, the area of Ms. Switer's lawn is:

Area = Length x Width

Area = (36 2/3 ft) x (45 1/6 ft)

Area = (110/3 ft) x (271/6 ft)

Area = 2981.388... square feet (rounded to three decimal places)

Therefore, Ms. Switer will need approximately 2981.388 square feet of sod for her front lawn.

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Find the probability of
1: choosing a yellow marble from a bag that contains 6 yellow marbles and 8 red marbles,
and
2: flipping a coin and it showing heads.

Answers

Answer:

1ans) 6/14 or 3/7 probability

2ans) 1/2 or a 50% chance

Given m
|| n, find the value of x.
т
n
(6x+19)°
(4x+11)
a
Help what is X

Given m|| n, find the value of x.n(6x+19)(4x+11)aHelp what is X

Answers

Answer:

x=15

supplementary angle equals 180

consider inequality 12 < -3(x+4). The solution set of this inequality is x =

Answers

The solution set of this inequality is x = -8

What is inequality ?

A mathematical statement indicating an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

inequality

   12 < -3(x+4)

  12 <  -3x - 12

  12 + 12 < - 3x

     24  <  -3x

     - 8 < x

The solution set of this inequality is x = -8

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Some one please help and find the domain and range. If your not sure about your answer don’t give the answer unless your 100% sure.

Some one please help and find the domain and range. If your not sure about your answer dont give the

Answers

Answer:

Domain x=1 and range is 0≤f(x)≤3

Step-by-step explanation:

Domain corresponds to the value of x and range corresponds to the value of y

Here we see the graph exists at x=1 so the domain is x=1 or simply 1 and the range is a range of values from 0 to 3 so we write it in the way

0≤f(x)≤3

Work out the equation of the line which passes through the point (-1, 2)
and is parallel to the line y = x + 4.

Answers

Answer:

  y = x +3

Step-by-step explanation:

The equation of a parallel line can use the same x- and y-coefficients as the given equation. Only the constant needs to be found to make the line go through the given point.

__

form of the solution

The equation of the given line is ...

  y = x +4

So, the equation of a parallel line will be ...

  y = x +b . . . . . for some y-intercept b

__

solution

Using the given point (x, y) = (-1, 2), we can fill in the values and solve for b.

  2 = -1 +b

  3 = b . . . . . . add 1 to both sides

The desired equation is ...

  y = x +3

Work out the equation of the line which passes through the point (-1, 2)and is parallel to the line y

you are responsible for mailing 50,000 letters. you must mail 50% of the total letters over the next five days. if you plan to mail 1/5 of this amount each day, what is the total amount that you plan to mail each day?

Answers

The total amount that you plan to mail each day is 5,000.

Given:

you are responsible for mailing 50,000 letters. you must mail 50% of the total letters over the next five days. if you plan to mail 1/5 of this amount each day.

Let x be the total amount that you plan to mail each day

Total letters mail = 50%*50000

= 50*50000/100

= 50*500

= 25000

x = 25000*1/5

= 25000*1 / 5

= 25000/5

= 5000

Therefore The total amount that you plan to mail each day is 5,000.

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The Ancient Wizard Albus owns 3 ancient Clocks of Perpetual Motion. Every day, Clock #1 runs 20 minutes fast; Clock #2 runs 30 minutes fast, and Clock #3 runs 40 minutes fast. He sets all three clocks to the correct time and leaves to visit his friend. After many days, he returns home and, to his surprise, finds all 3 clocks showing the correct time again! What is the fewest possible number of days Albus could have spent away from home?

Answers

Answer:

72 days

Step-by-step explanation:

Answer:72 days

Step-by-step explanation:

The Willis Tower In Chicago is 1,451 FEET tall. The Transamerica Pyramid is San Francisco is 10,236 INCHES tall. How do these two compare?

Answers

Answer:

Willis Towers is 1.7 times bigger than the Transamerica pyramid

Step-by-step explanation:

The Willis Tower In Chicago is 1,451 FEET tall. The Transamerica Pyramid is San Francisco is 10,236 INCHES tall. How do these two compare?

Note that

1 foot = 12 inches

We convert the height of willis tower to inches

1 foot = 12 inches.

1,451 feet = x inches

Cross Multiply

x = 1451 × 12 inches

x = 17412 inches

Comparing the two buildings

Willis Tower : Transamerica pyramid

1,7412 inches : 10,236 Inches

= 1.7010550996 : 1

Therefore,

Willis Towers is 1.7 times bigger than the Transamerica pyramid

What key features do the functions f(x) = 12x and g of x equals the square root of x minus 12 end root have in common?

1-Both f(x) and g(x) include domain values of [-12, ∞) and range values of (-∞, ∞), and both functions have an x-intercept in common.

2- Both f(x) and g(x) include domain values of [12, ∞) and range values of [0, ∞), and both functions have a y-intercept in common.

3-Both f(x) and g(x) include domain values of [-12, ∞) and range values of (-∞, ∞), and both functions increase over the interval (-6, 0).

4-Both f(x) and g(x) include domain values of [12, ∞), and both functions increase over the interval (12, ∞).

Answers

Using the domain and the range of the function, it is found that the correct option is given by:

4- Both f(x) and g(x) include domain values of [12, ∞), and both functions increase over the interval (12, ∞).

What are the domain and the range of a function?

The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.

Function f(x) is defined by: f(x) = 12x.

Line with positive slope, hence it is increasing all over it's domain.Range is all real values.No restriction, hence the domain is also all real values.

Function g(x) is defined by: \(g(x) = \sqrt{x - 12}\)

The square root function increases over all it's domain.The range is \((0, \infty)\).The term inside the root cannot be negative, hence the domain is [12, ∞), which is contained into the domain of f(x).

This means that option 4 is correct.

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which graph shows the solution to x - 2y ≥ 9

which graph shows the solution to x - 2y 9

Answers

Answer: Your answer is (B).

To determine which graph shows the solution to the inequality x - 2y ≥ 9, you would need to look for a graph that shows a shaded region representing all the points (x,y) that satisfy the inequality. The boundary line for this inequality would be x - 2y = 9, which can be rewritten in slope-intercept form as y = (1/2)x - 9/2. This line would have a slope of 1/2 and a y-intercept of -9/2. Since the inequality is greater than or equal to, the shaded region would be above the line and include the line itself.

set f(y)=x and solve for y

Answers

Answer:

f = 1

y = 0

Solved for y

Step-by-step explanation:

Step  1  :

Pulling out like terms/ factors.

Step  2  :

Theory - Roots of a product .

Step 3 solving a Single Variable Equation.

Answers:

 f = 1

y = 0

Hope this helps.

correct answer gets brainliest ( please help me asap)

correct answer gets brainliest ( please help me asap)

Answers

The answer should be commutative

I have no clue what it is so please help me

I have no clue what it is so please help me

Answers

Answer:

B I think

Step-by-step explanation:

Please help me with these two questions. ​

Please help me with these two questions.

Answers

Answer:

Are these 2 ok

Step-by-step explanation:

I hope this helps you.

Please help me with these two questions.

Answer:

.........................

Find an equation of the line parallel to y=2x-6 that passes through the point (3,-8) if possible write the equation in slope intercept form

Answers

Given the equation:

\(\text{ y = 2x -6}\)

The equation is at Slope-Intercept Form: y = mx + b and the m in the equation represents the slope of the line. Therefore, the slope of the line that represents the equation y = 2x - 6 is 2.

It's been given that the equation of the line that we are looking for is parallel to y = 2x - 6 and passes through the point (3, -8). Thus, we will adapt the slope of the equation and determine the y-intercept by substituting the coordinates in the slope-intercept formula y = mx + b.

We get,

\(\text{ y = mx + b}\)

At slope, m = 2 and x,y = 3, -8:

\(-8\text{ = (2)(3) + b}\)\(-8\text{ = 6 + b}\)\(\text{ b = -8 - 6 = -14}\)

Let's substitute m = 2 and b = -14 to y = mx + b to complete the formula:

\(\text{ y = mx + b}\)\(\text{ y = (2)x + (-14)}\)\(\text{ y = 2x - 14}\)

Therefore, the equation of the line parallel to y = 2x - 6 and passes through (3, -8) is

y = 2x - 14.

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