To find the distance across a river, a forester sets up stakes at A, B,C and D so that
stakes D and B are in line with a larger tree T, on the opposite bank. Calculate the
width of the river using the measurements given. (Upload a Picture of your solution)

To Find The Distance Across A River, A Forester Sets Up Stakes At A, B,C And D So Thatstakes D And B

Answers

Answer 1

Answer:

75m

Step-by-step explanation:

They are similar triangles: they have two corresponding angles: in a triangle with an angle of 90°, the other two will be of 45°.

Now that we know they are similar, we can calculate the ratio of the sides, by doing 10/2=5

We want to know the side AT, so we can do that by multiplying DC for 5:

DC = 15 × 5 = 75m

You can also check this by applying Pythagoras' Theorem:

DB =

\( \sqrt{15^{2} + 2^{2} } \)

Which equals 15.1 m

The hypotenuse of the other triangle is 15.1 × 5 = 75.5 m

Finally, we can apply for the last time the Pythagoras' Theorem to find AT:

\( \sqrt{75.5^{2} - 10 {}^{2} } \)

Which equals 74.8 = 75 m


Related Questions

How do I use the tables to evaluate the expression

How do I use the tables to evaluate the expression

Answers

Solution:

Given:

\(\begin{gathered} To\text{ find }(fg)(9),\text{ this means:} \\ (fg)(9)=f(9)\cdot g(9) \end{gathered}\)

From the table,

\(\begin{gathered} f(9)=-4 \\ g(9)=-5 \\ \\ Hence, \\ (fg)(9)=f(9)\cdot g(9)=-4\times-5 \\ (fg)(9)=20 \end{gathered}\)

Therefore, the answer is 20.

How do I use the tables to evaluate the expression

Carmen ran one mile in 7 minutes. At this rate, how long will it take her to run 5 miles?

Answers

Answer:

35 minutes.

Step-by-step explanation:

Just multiply 7 minutes by 5 miles.

Answer:

It will take Carmen 35 minuets to run 5 miles.

Multiply:( 10 squared plus 2 times 8 squared)(10 squared minus 2 times 8 squared)

Answers

10 squared plus 2 times 8 squared= 228
10 squared minus 2 times 8 squared= -28

228+ -28= 200

Answer:

-6384

Step-by-step explanation:

= (10^2 + 2 x 8^2)(10^2-2 x 8^2)

= (100 + 2 x 8^2) (10^2-2 x 8^2)

= (100 + 2 x 64) (10^2-2 x 8^2)

= (100 + 128) (10^2-2 x 8^2)

= 228 (10^2-2 x 8^2)

= 228 (100 - 2 x 64)

= 228 (100 - 128)

= 228 (-28)

= -6384

PEDMAS

Parentheses

Exponents

Division

Multiplication

Addition

Subtraction

Carla looks from a height of 1515 yards at the top of her apartment building. She lines up the top of a flagpole with the curb of a street 2020 yards away. If the flagpole is 1212 yards from the apartment building, how tall is the flagpole?.

Answers

The height of the flagpole if 1212 yards away flagpole's top lines up with the curb of a street 2020 yards away when looking from a height of 1515 yards is 606 yards.

Let us represent the position Carla is as A, top of flagpole as B, curb of street as C, bottom of flagpole as D and bottom of apartment as E. Therefore, AE = 1515 yards, CE = 2020 yards and DE = 1212 yards.

Now consider ΔACE and ΔBCD,

∠ACE = ∠BCD   same angle

∠CEA = ∠CDB = 90°

Therefore ΔACE is similar to ΔBCD by AA similar criterion of triangles.

In similar triangles, ratio of corresponding sides are equal. Therefore as ΔACE is similar to ΔBCD,

BD/ AE = CD/CE

BD = CD/CE × AE

BD = ( CE - DE )/CE × AE

BD = (2020 - 1212)/ 2020 × 1515

BD = 606

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Solve x−8>−4.

20 points and maybe a brainliest

Answers

Answer:

X = 12

Step-by-step explanation:

Just add 8 to both sides to set the equation balanced. I hope this helps :)

Uhhhh what??? i no understand this

Uhhhh what??? i no understand this

Answers

Can you even understand my writing here ?

anyway this is the process i think is the right one ...

let me know if its incorrect

Uhhhh what??? i no understand this
Uhhhh what??? i no understand this

a packing lot has a rectangular area of 40,000yd2. the length is 200 yd more than twice the width. find the dimensions of the lot.

Answers

the dimensions of the lot is 100 yards by 400 yards. In this problem, a parking lot has a rectangular area of 40,000 square yards, and the length is 200 yards more than twice the width.

Determining the dimensions of a rectangular area, such as a parking lot, can be a useful task for many purposes, such as planning and designing a new lot or estimating the amount of space available for parking.

Let's call the width of the parking lot "w". Then, the length of the parking lot can be represented as 2w + 200.

The total area of the parking lot is 40,000 square yards, so we can set up an equation to solve for w: w * (2w + 200) = 40,000.

Solving for w, we get w = 100. This means that the width of the parking lot is 100 yards and the length is 2 * 100 + 200 = 400 yards.

The dimensions of the parking lot are 100 yards by 400 yards.

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4. Car dealer Lisa Kovach paid 82% of a car's options totaling $3,098. She paid 85% on a base price of $15,480.
The destination charge was $890. What is the dealer's cost?
a. $13,158.00
b. $16,588.36
c. $18,020.36
d. $19.001.20

Answers

Part (c) is the correct option i.e. The total dealer's cost is $16588.36.

What is Percentage ?

Percentage, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolised as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Given, Cost paid for car's options = 82 % $3,098 = $2540.36

           Cost paid for base price = 85 % $15,480 = $13158.

           Destination charge = $890

∴ The total dealer's cost will be :

 = Cost paid for car's options +  Cost paid for base price +  Destination charge

=  $2540.36 + $13158 + $890

= $16588.36.

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Major challenges for managers to ensure that they treat their employees fairly and equitably includes recognizing ______ and _______.

Answers

Major challenges for managers to ensure that they treat their employees fairly and equitably includes recognizing Biases and Inclusivity

Major challenges for managers to ensure that they treat their employees fairly and equitably includes recognizing biases and promoting inclusivity.

1:Biases: Managers must recognize and address their own biases,  the biases that may exist within the organization. Biases can be conscious or unconscious, and  lead to unfair treatment and favoritism. Managers need to be aware of these biases and actively work to mitigate their impact on decision-making processes such as promotions, assignments, and evaluations.

2:Inclusivity: Managers need to promote inclusivity by creating a work environment where all employees feel valued, respected, and included. This involves acknowledging and appreciating diversity in terms of race, gender, age, sexual orientation, ethnicity, and other dimensions of identity. Managers should ensure that opportunities for growth and advancement are accessible to all employees, and that discriminatory practices or behaviors are not tolerated.

Biases and promoting inclusivity, managers can foster a fair and equitable workplace where all employees have equal opportunities to succeed and contribute to the organization's goals.

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Find the slope between the points (-1,5), (4, 8)​

Answers

Answer:

Are you sure thats all you are given?

Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, a large farm harvested rice from 690 acres of farmland. The crop yield was 7,553 bushels per acre. Approximately how many bushels of rice were harvested?.

Answers

The amount of rice harvested this year from 690 acres of farmland was 5211570 bushels

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

This year, a large farm harvested rice from 690 acres of farmland. The crop yield was 7,553 bushels per acre.

Hence:

Amount of rice harvested =  7,553 bushels per acre * 690 acres = 5211570 bushels

The amount of rice harvested this year from 690 acres of farmland was 5211570 bushels

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Answer: B

Step-by-step explanation:

if on edg just took the quiz

In the movie, "Elf," Buddy the Elf and his brother, Michael are in a snowball fight with the mean boys. Buddy


throws 55 snowballs in a short 30 seconds. If Buddy were to keep that pace up for our whole school day, from


7:50 am to 2:40 pm, how many snowballs would he throw?

Answers

If Buddy the Elf throws 55 snowballs in 30 seconds during a snowball fight with the mean boys, he would throw an estimated 4,730 snowballs throughout the school day from 7:50 am to 2:40 pm.

To calculate the number of snowballs Buddy would throw during the school day, we need to determine the total number of 30-second intervals in the given time period. From 7:50 am to 2:40 pm, there are approximately 6 hours and 50 minutes, or 410 minutes, in total. Each minute contains two 30-second intervals, so there are 820 intervals in the given time frame.

Since Buddy throws 55 snowballs in 30 seconds, we can multiply this rate by the total number of intervals. Multiplying 55 by 820 gives us an estimated 45,100 snowballs. Therefore, if Buddy were to maintain the same pace he had during the snowball fight, he would throw approximately 45,100 snowballs throughout the school day from 7:50 am to 2:40 pm.

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Type an equation of (-2, 3) (2, 5)

Answers

y = (1/2)x +4

hope this helps :)

Find the measure of the arc or angle indicated.

Find the measure of the arc or angle indicated.

Answers

Answer: The correct is 114

Step-by-step explanation: Hope this helps

A 4-foot long steel pipe consists of two concentric cylinders, with the inner cylinder hollowed out. The radius of the outside of the pipe is 6 inches and the radius of the inside of the pipe is 5.75 inches.

A. Determine the volume of metal used to build the pipe

B. If the pipe is to be powder-coated on the inside and outside surfaces, what is the total surface area to be powder-coated?

A 4-foot long steel pipe consists of two concentric cylinders, with the inner cylinder hollowed out.

Answers

Answer:

Step-by-step explanation:

The radius of the outside of the pipe is 6 inches and the radius of the inside of the pipe

is 5.75 inches

Determine the volume of metal used to build the pipe.

Help please please pray that you pray

Help please please pray that you pray

Answers

Answer:

well religion does not work here sorry

Step-by-step explanation:not everyone prays im sorry

Answer:

im confused

Step-by-step explanation:

dont delete this

solve
2-\(\frac{x}{3}\)=6-x

Answers

Answer :

\(:\implies\sf\:2-\dfrac{x}{3}=6-x\)

Taking LCM in left side, we obtain

\(:\implies\sf\:\dfrac{6-x}{3}=6-x\)

\(:\implies\sf\:6-x=3(6-x)\)

\(:\implies\sf\:6-x=18-3x\)

\(:\implies\sf\:-x+3x=18-6\)

\(:\implies\sf\:2x=12\)

\(:\implies\sf\:x=\dfrac{12}{2}\)

\(:\implies\boxed{\bf{\orange{x=6}}}\)

#2

Please helppp
Extra 100 points

#2 Please helpppExtra 100 points

Answers

Answer:

Step-by-step explanation:

C looks good

A quality control inspector is inspecting newly produced items for faults. The inspector searches an item for faults in a series of independent fixations, each of a fixed duration. Given that a flaw is actually present, let p denote the probability that the flaw is detected during any one fixation (this model is discussed in "Human Performance in Sampling


Required:

a. Assuming that an item has a flaw, what is the probability that it is detected by the end of the second fixation (once a flaw has been detected, the sequence of fixations terminates)?

b. Give an expression for the probability that a flaw will be detected by the end of the nth fixation.

c. If when a flaw has not been detected in three fixations, the item is passed, what is the probability that a flawed item will pass inspection?

d. Suppose 10% of all items contain a flaw [P (randomly chosen item is flawed) = .1]. With the assumption of part (c), what is the probability that a randomly chosen item will pass inspection (it will automatically pass if it is not flawed, but could also pass if it s flawed)?

e. Given that an item has passed inspection (no flaws in three fixations), what is the probability that it is actually flawed? Calculate for p = .5.

Answers

a. The probability that a flaw is detected by the end of the second fixation is given by the formula: P(flaw is detected by the end of the second fixation) = 1 - P(flaw is not detected in first fixation) * P(flaw is not detected in second fixation).

b. Similarly, the probability that a flaw will be detected by the end of the nth fixation is given by the formula: P(flaw is detected by the nth fixation) = 1 - P(flaw is not detected in first fixation) * P(flaw is not detected in second fixation) * ... * P(flaw is not detected in n-th fixation).

c. To calculate the probability that a flawed item will pass inspection, we can use the formula: P(B'|A), where A is the event that an item has a flaw and B is the event that the item passes inspection. Thus, P(B'|A) is the probability that the item passes inspection given that it has a flaw. Since the item is passed if a flaw is not detected in the first three fixations, and the probability that a flaw is not detected in any one fixation is 1 - p, we have P(B'|A) = P(flaw is not detected in first fixation) * P(flaw is not detected in second fixation) * P(flaw is not detected in third fixation) = (1 - p)³.

d. To find the probability that an item is chosen at random and passes inspection, we can use the formula: P(C) = P(item is not flawed and passes inspection) + P(item is flawed and passes inspection). We can calculate this as (1 - 0.1) * 1 + 0.1 * P(B|A'), where A' is the complement of A. Since P(B|A') = P(flaw is not detected in first fixation) * P(flaw is not detected in second fixation) * P(flaw is not detected in third fixation) = (1 - p)³, we have P(C) = 0.91 + 0.1 * (1 - p)³.

e. It's important to note that all of these formulas assume certain conditions about the inspection process, such as the number of fixations and the probability of detecting a flaw in each fixation. These assumptions may not hold in all situations, so the results obtained from these formulas should be interpreted with caution.

The given problem deals with calculating the probability that an item is flawed given that it has passed inspection. Let us define the events, where D denotes the event that an item has passed inspection, and E denotes the event that the item is flawed.

Using Bayes’ theorem, we can calculate the probability that an item is flawed given that it has passed inspection. That is, P(E|D) = P(D|E) * P(E) / P(D). Here, P(D|E) is the probability that an item has passed inspection given that it is flawed. P(E) is the probability that an item is flawed. And, P(D) is the probability that an item has passed inspection.

Since the item is passed if a flaw is not detected in the first three fixations, we can find P(D|E) = (1 - p)³. Also, given that 10% of all items contain a flaw, we have P(E) = 0.1.

Now, to find P(D), we can use the law of total probability. P(D) = P(item is not flawed and passes inspection) + P(item is flawed and passes inspection). This is further simplified to (1 - 0.1) * 1 + 0.1 * (1 - p)³.

Finally, we have P(E|D) = (1 - p)³ * 0.1 / [(1 - 0.1) * 1 + 0.1 * (1 - p)³], where p = 0.5. Therefore, we can use this formula to calculate the probability that an item is flawed given that it has passed inspection.

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Simplify to a single power of 6:

Simplify to a single power of 6:

Answers

Answer: 6^4

Step-by-step explanation:

You have 6^5 / 6 which is basically 6^5 / 6^1

When you are dividing exponents with the same base, you can subtract the exponent from each other.

When you do this, you get 6^4

In a data set with a, b, c, d, e, and f numeric variables, given there are strong correlation of these pairs (f, a), (f, c), (d, e), (a, d), we can set up a regression model as:

Of-a + c Of-a + b + c + d + e Of-a + C + d + e Of-a + C + e

Given two predictor variables with correlation at 0.32879, we should expect there is multicollinearity between them.

Answers

Given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

In a data set with a, b, c, d, e, and f numeric variables, given there is a strong correlation of these pairs (f, a), (f, c), (d, e), (a, d), we can set up a regression model as

Of-a + c Of-a + b + c + d + e Of-a + C + d + e Of-a + C + e.

Given two predictor variables with a correlation of 0.32879, we should expect there is multicollinearity between them.

The statement that is true regarding the given two predictor variables with a correlation of 0.32879 is:

we should expect there to be multicollinearity between them.

Multicollinearity is a situation in which two or more predictor variables in a multiple regression model are highly correlated with one another. Multicollinearity complicates the understanding of which predictor variables are significant in the regression model's estimation.

Therefore, given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

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Kim has 2,835 comic books. He must pack them into boxes to ship to a comic book store. Each box holds 45 comic books. How many boxes will he need to pack all of the books. ?

Answers

Answer:

The answer to your problem is, 63

Step-by-step explanation:

So we know that he has 2,835 comic books. He is also going to put them in boxes to ship it in a book store.

1 Box = 45 Comic Books

So in order to solve the problem we need to divide:

The expression includes:

2,835 ÷ 45 = 63

Thus the answer to your problem is, 63

I need help ASAP!!! The answers are in the picture. Round to the nearest tenth.

I need help ASAP!!! The answers are in the picture. Round to the nearest tenth.

Answers

Answer:

75°/360° = 5/24

Area of sector = (5/24)(π)(10^2)

= 125π/6 square inches

= 65.4 square inches

Length of arc = (5/24)(2π)(10)

= 25π/6 inches

= 13.1 inches

I need help with this statistics question

I need help with this statistics question

Answers

Answer:

A.

Step-by-step explanation:

Qualitative data is a type of data that describes information. Examples of qualitative data include sex (male or female), name, state of origin, citizenship, etc.

Please help
The number of high school seniors graduating from a certain high school increases each year. The equation y = 21.8571x + 309.3333 is the least squares regression line for the number of high school seniors, y, graduating from a high school x years since 2010. For each subsequent year, about how many more seniors graduate from the high school? Round to the nearest whole number

Answers

Answer:

22

Step-by-step explanation:

The 309.3333 is the base amount of seniors that graduate each year, the x is the number of years, so the 21.8571 is the number of students they increase by. This answer is 100% I took the final and got it right. Hope this helps!!  :)

Answer:

22

Step-by-step explanation:

1/5 raised to the power minus 1

Answers

Simplification form of 1/5 raised to the power minus 1 is 5.

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

If a fraction's top and bottom share only one additional common factor, it is said to be in its simplest form. In other words, the top and bottom cannot be divided further and remain full numbers. Simplest form is also referred to as "lowest words."

The reduced form of a fraction is another name for its most basic form. For instance, the simplest representation of a fraction with a common component of 1 is 34 The simplest form, however, is not 2/4 because 12 is a further simplification of 2/4 that can be written.

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Find the x-intercept of the line:

8x - 4y = -24​

Answers

x-intercept = (-3,0)

Suppose that the miles-per-gallon (mpg) rating of passenger cars is a normally distributed random variable with a mean and a standard deviation of 33.8 and 3.5 mpg, respectively. Use Table 1.
a. What is the probability that a randomly selected passenger car gets more than 35 mpg?
b. What is the probability that the average mpg of four randomly selected passenger cars is more than 35 mpg?
c. If four passenger cars are randomly selected, what is the probability that all of the passenger cars get more than 35 mpg?

Answers

the probability that a randomly selected passenger car gets more than 35 mpg is approximately 0.3665.

the probability that the average mpg of four randomly selected passenger cars is more than 35 mpg is approximately 0.087

the probability that all of the passenger cars get more than 35 mpg is approximately 0.015.

We need to find \(P(X > 35),\) where X is the mpg rating of a randomly selected passenger car.

The standard normal distribution and Table 1, we have:

\(z = (35 - 33.8) / 3.5 = 0.34\)

\(P(X > 35) = P(Z > 0.34) = 0.3665\)

\(P(\bar X > 35)\), were \(\bar X\) is the sample mean mpg rating of four randomly selected passenger cars.

The population standard deviation, we use the t-distribution with \(n-1\) degrees of freedom (were \(n = 4\)) and Table 1. We have:

\(t = (35 - 33.8) / (3.5 / \sqrt(4)) = 1.83\)

Using Table 1 with 3 degrees of freedom (\(n-1 = 4-1\)), we find:

\(P(T > 1.83) = 0.087\)

We need to find \(P(X1 > 35\) and \(X2 > 35\) and \(X3 > 35\) and \(X4 > 35\)), where X1, X2, X3, and X4 are the mpg ratings of four randomly selected passenger cars.

Since the mpg ratings of the four cars are independent and identically distributed, we have:

\(P(X1 > 35\)and\(X2 > 35\) and \(X3 > 35\) and \(X4 > 35\)) =\(P(X > 35)^4\)

From part (a), we know that\(P(X > 35) = 0.3665.\)

\(P(X1 > 35\)and \(X2 > 35\) and\(X3 > 35\) and \(X4 > 35) = 0.3665^4 \approx 0.015\)

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Help plzzzzzzzzzzzzzzzz

Help plzzzzzzzzzzzzzzzz

Answers

Answer: answer is 72 you can  get it by either multiplying the height and the base by two and following the formula for area of a triangle or you can divide 36 by two and multiply that by 4

Step-by-step explanation:

Answer:

72 meters

Step-by-step explanation:

Working on 1 triangle at a time

How to find the area of a triangle: Base x Height divided by 2

So: 6 x 6 = 36

36 divided by 2 = 18

Each triangle is 18 meters

18 x 4 triangles = 72 meters

HELP ASAP PLEASE I DONT WANT TO FAIL

Michael had saved $257.40; he had deductions of $21.82 for dinner and $ 150.32 for clothes he purchased. After receiving his monthly allowance of $45, how much money does Michael have?

Answers

Answer:

$226.57

Step-by-step explanation:

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