Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. the angle of elevation of the tree from one position on a flat path from the tree is and from a second position farther along this path it is what is the height of the tree?
The height of the tree, which Pat needs to determine, before cutting it down to be sure that it will not fall on a nearby fence is 111 ft.
What is right angle triangle property?In a right angle triangle, the ratio of the opposite side to the base side is equal to the tangent angle between them.
[tex]\tan\theta=\dfrac{b}{a}[/tex]
Here, (b) is the opposite side, (a) is the base side.
Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence.
The angle of elevation of the tree from one position on a flat path from the tree is
[tex]H=40^o[/tex]
From a second position,
[tex]I=60\rm\; ft[/tex]
Farther along this path it is,
[tex]b=30^o[/tex]
Let the distance between tree and first position is x. Thus, from the trigonometry,
[tex]\tan 40=\dfrac{h}{x}\\h=x\tan 40[/tex] ....1
The distance between tree and second position is (x+60) ft. Thus, again from the trigonometry,
[tex]\tan 30=\dfrac{h}{x+60}\\h=(x+60)\tan 40[/tex] ......2
Compare the equation 1 and 2,
[tex]x\tan (40)=(x+60)\tan 30\\0.839x=0.577x+34.64\\0.839x-0.577x=34.64\\x=\dfrac{34.64}{0.262}\\x=132.25\rm\; ft[/tex]
Put this value in equation 1 as,
[tex]h=(132.25)\times \tan40\\h\approx111\rm\;ft[/tex]
Thus, the height of the tree, which Pat needs to determine, before cutting it down to be sure that it will not fall on a nearby fence is 111 ft.
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What two reasons does lincoln give for launching military action against the south
Answer:
A) to guarantee that every state continues to have a republican form of government, as
promised by the Constitution
D)to preserve a governmen;,dedicated to giving each citizen a fair chance
Explanation:
i got it right on my test:) sorry if it’s wrong bc i can’t see the answer choice
How much energy is required to vaporize 41. 4 g of dichloromethane (ch 2cl 2) at its boiling point, if its δh vap is 31. 6 kj/mol?
Answer: 15.4 kJ
Explanation:
Molar mass of CH2Cl2,
MM = 1*MM(C) + 2*MM(H) + 2*MM(Cl)
= 1*12.01 + 2*1.008 + 2*35.45
= 84.926 g/mol
Mass(CH2Cl2) = 41.4 g
Use:
number of mol of CH2Cl2,
n = mass of CH2Cl2/molar mass of CH2Cl2
= (41.4 g)/(84.93 g/mol)
= 0.4875 mol
Given:
ΔH = 31.6 KJ/mol
= 31600 J/mol
Use:
Q = ΔH * number of mol
= 31.6 KJ/mol * 0.4875 mol
= 15.4 KJ
Therefore, it takes 15.4 kJ of energy to vaporize 41. 4 g of CH₂Cl₂ at its boiling point
Which of these are theme statements? check all that apply.
Answer:
?
Explanation:
i dont see any themes that ur giving out sorry!
A rectangular garden is to be constructed using a rock wall
How does the text develop the idea that getting less sleep likely has a negative impact on teenagers' mental health?
The idea that getting less sleep likely has a negative impact on teenagers' mental health because it reduce mental capacity of teenagers.
What is Mental health?Mental health serves as the cognitive as well as behavioral, and emotional well-being of individuals which control how people think and feel.
Therefore, based in research, Teenages that get less sleeping hours do have low mental capacity.
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Researchers are studying two different designs of computer keyboards, j and k, to investigate the effectiveness of the design on the speed of data entry. The researchers believe there is a tendency for people entering data with keyboard j to have faster entry times compared with people entering data with keyboard k. Using the same set of data for entry, the researchers randomly assigned 5 people to keyboard j and 6 people to keyboard k and recorded the number of seconds each person took to enter the data. The following dotplots show the observed entry times for the two keyboards
The data from the people using the j and the k keyboards reveal that it is not appropriate to conduct the two-sample statistical t-test, as there was the presence of outliers.
What is a two-sample t-test?It is a statistical test that is used in the determination of the equality of the two mean populations. The test is used for the analysis of the statistical difference between the two tests.
The test data for the two keyboards have been based on the presence of the outliners in the data. This helps in the analysis of the population with the median, and not with the mean.
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_________ is focusing on something specific in the environment. a. attention b. stimuli c. memory d. rehearsal
What is the main problem with reducing government spending as a way to pay down the national debt?
How does gladwell develop readers' understanding of ladue's plans to commit a school shooting?
Gladwell interviewed students at LaDue’s school and pieced together a timeline to explain the events leading up to the school shooting.
What is the theme of the story?From the story title Thresholds of violence written by malcolm gladwell, we see a narrative about school shootings with a series of timelines of events.
Now, there were a series of interviews with the school students and there was a final police report where David LaDue also spoke of an incident when Austin Walters and John LaDue had gone deer hunting. John had reportedly shot a deer that had not died right away and had to be “finished off.”
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How many moles are there in 4.9x 1023 molecules of co2?
Answer:Mass =
no. of molecules / 6.023 * 10^ 23 * Molar mass
Explanation:
Molar mass of CO2 = 44g/mol1.5⋅10256.023⋅1023 = 51.5 moles of CO2 51.5⋅44g/mol=2266grams
Hope this helped
How materials affect the technique in making philippine art
Answer:
Materials affect the technique used in making Philippine Art because the result of craftsmanship relies on the quality, durability, and authenticity of the materials being used. ... Every region has its own trademark of arts which makes the competition healthy that marks our talent and resourcefulness.
Explain how to write an inequality to model the problem. The winning baseball team scored more than 5 runs
Answer: Any number higher than 5. It could be 6, 7, 8 anything and you would write it like 5 < 6 or 5 < 7. Anything like that.
Explanation:
It could be anything higher than 5 because it said the team scored more than 5 points.
Answer:
Identify the variable as the number of runs. Identify the inequality symbol needed as greater than. Identify the constant as 5 runs. Write the inequality as r > 5.
Explanation:
Enter the balanced complete ionic equation for the potentially unbalanced equation hcl(aq)+k2co3(aq)→h2o(l)+co2(g)+kcl(aq).
Write true if the statement is correct and false if it is not
Answer:
ok ok ok ok ok ok ok ok ok ok
Find a cartesian equation for the curve and identify it. r2 cos(2î¸) = 1
The Cartesian equation for the curve and identify it. r² cos(2 Θ ) = 1 is
x² - y² = 1.
What is a Cartesian equation?A Cartesian equation for a curve is one that is only expressed in terms of x and y.
To find the Cartesian equation for the curve
Since, [tex]\rm cos^2 \theta =2cos2\;\theta - 1[/tex], then
[tex]r^2cos2 \theta = 2^r2cos2 \theta\\\\ r^2=2(rcos \theta)2 -r^2 =2 \times 2 - (x^2+y^ 2) = x^2 - y^2,[/tex]
So the Cartesian curve is x² - y² = 1, which is a hyperbola having the lines y= ±x as asymptotes.
Thus, the Cartesian equation for the curve and identify it. r² cos(2 Θ ) = 1 is x² - y² = 1.
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Decide if the following sentence is grammatically correct or incorrect. está bien por ahora. correct incorrect
Answer:
That is correct
está bien por ahora is grammatically correct.
What is Grammar?
A natural language's grammar is a system of structural rules that limit how sentences, phrases, and words can be put together by speakers or writers.
The phrase can also be used to describe the study of such restrictions, a subject area that covers phonology, morphology, and syntax as well as the frequently added fields of phonetics, semantics, and pragmatics. Traditional grammar and theoretical grammar are the two methods now used to study grammar.
These limitations, the bulk of which - at least in the case of one's native language(s) - are acquired not by conscious study or instruction but rather by hearing other speakers, have successfully been internalized by fluent speakers of a linguistic variation or lect.
Therefore, está bien por ahora is grammatically correct.
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Which phrase best describes a quality of postmodernism
Answer:
Blurring fact and fiction to find an underlying truth.
Explanation:
Everybody knows the name of iqbal. (change into an interrogative sentence)
The interrogative of the sentence above is '' why is the name of Iqbal common to everyone?''.
What is an interrogative sentence?This is known to be a type of sentence that is often asked as a form of a question.
Note that an Interrogative sentences often comes in a direct or indirect manner such as why is the name of Iqbal common to everyone?
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An object moves up and down the y-axis with an acceleration
it was so great question
Stan and kenya are investigating the properties of gases in the lab. Stan has a balloon filled with helium, and kenya has a balloon filled with hydrogen. Under which condition do the gases in the two balloons have the same kinetic energy?
The condition under which the gases in the two balloons have the same kinetic energy is same temperature.
What is kinetic energy?Kinetic energy can be defined as a form of energy that is possessed by a physical object (body) due to its motion or a change in velocity (acceleration).
According to the kinetic molecular theory of gases, the condition under which the gases (helium and hydrogen) in the two balloons have the same kinetic energy is same temperature because they're in constant random motion.
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A person has a 30 percent chance of winning on a scratch-off lottery ticket. what is the probability she first wins of the fifth ticket?
Answer: Hi! To anyone who may need the answer it should be:
(0.70)^4 (0.30)
What are the active theater groups in the philippines specializing in original written in filipino
Answer:
Some active theater groups in the philippines specializing in original written in filipino are as given below:-
Gantimpala Theater FoundationTriumphant Peoples Evangelistic Theatre SocietyPhilippine Educational Theater Association Dulaang Unibersidad ng PilipinaTanghalang AteneoTeatro Tomasino.Explanation:
#hope it helped ya!!
Any action that causes harm to your computer is called a
Answer:
Security risk.
Explanation:
Lesson 11.1 practice a geometry answers circumference and arc length
An example of Lesson 11.1 practice a geometry question is to find the length of ∧ AB in the image attached..
What is the length of the angle about?To be able to find the length of (angle) ∧AB, one must:
When the Arc length of AB [tex]\frac{150}{360}[/tex]
2π(5) = 13.09 meters
Therefore, the length of the angle is 13.09 meters.
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Select the correct answer from the drop-down menu. the scatter plot shows the population of napa county from 1970 through 2010. there is association between the population of napa county and the year.
Answer:
A Positive
Explanation:
I got the question right on the test.
Answer:
A positive
Explanation:
As the y increases, the x increases as well
A survey of 225 students showed the mean number of hours spent studying per week was 20.6 and the standard deviation was 2.7. assuming a 90% confidence level, the margin of error is approximately
Answer:
Assuming a 90% confidence level, the margin of error is approximately
0.3
Which of the following gives the confidence interval?
between 20.3 and 20.9
Explanation:
A survey of 225 students showed the mean number of hours spent studying per week was 20.6 and the standard deviation was 2.7, the margin of error is approximately 0.2948.
What is standard deviation?Standard deviation is a statistical measure that describes the amount of variation or dispersion of a set of data values.
It measures the average amount of deviation of each data point from the mean (or average) of the entire dataset.
To find the margin of error for a sample mean, we use the formula:
Margin of error = z * (standard deviation / sqrt(sample size))
where z is the z-score corresponding to the desired confidence level. For a 90% confidence level, the z-score is 1.645 (we can look this up on a standard normal distribution table).
Plugging in the values given in the problem:
Margin of error = 1.645 * (2.7 / sqrt(225))
= 1.645 * (2.7 / 15)
= 0.2948 (rounded to four decimal places)
Therefore, the margin of error is approximately 0.2948.
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Which describes the purpose of the yalta conference brainly
Answer: Leaders from the United States, Soviet Union, and Great Britain met to discuss a post-World War II peace.
Explanation: The original answer choices to this question are:
A. Leaders from Germany, Italy, and Japan convened to determine how to pay reparations for their contributions to World War II.
B. German and Japanese leaders convened to strategize on how to best defeat the Allies.
C. German leaders met to discuss the terms of their surrender to the Allied troops.
D. Leaders from the United States, Soviet Union, and Great Britain met to discuss a post-World War II peace.
The three countries I noted in my answer above came together to discuss how to bring peace once more and how to deal with Germany, who was ultimately defeated at the end of World War II.
In your first job, it is likely that you will earn:
Answer:
15 bucks a hour which is minimum wage
Explanation:
Manny is using a computer model to investigate the effects of substitution mutations. The model presents manny with a long base sequence for a gene. Manny then selects one base for a mutation, such as by substituting cytosine, "c", for adenine, "a". Manny completes many trials of mutations. In most trials, the result of the substitution mutation is either no effect, or a polypeptide in which one amino acid is altered. In one trial, however, the result is a truncated polypeptide. Many of its terminal amino acids are missing. What is the most likely explanation for the truncated polypeptide
The truncated polypeptide results in the computer simulations performed by Manny can be found with the alteration in the gene structure and the formation of the stop codon in between the chain sequence.
What is truncated polypeptide?The truncated polypeptide is the sequence of the amino acid that is modified in a way to enable the formation of the tertiary and the quaternary structure of the protein.
The truncation in the polypeptide chain can be attained with the alteration in the gene structure. The attempts of Manny to perform the substitution mutation may result in the change in the cytosine nucleotide at the C or the N terminal of the polypeptide chain.
This results in the formation of the termination in the elongation with the stop codon, and thereby forms the truncated polypeptide.
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