Triangle PQR has right angle Q. If sin R = 4/5
what is the value of tan P?
Answers
By applying Pythagorean' theorem, the value of tanP is equal to 3/4.
How to determine the value of tan P?Since triangle PQR has right-angle Q and sinR = 4/5, we have:
sinR = Opp/hyp = 4/5
tanP = Opp/Adj = QR/4
Next, we would determine the length of QR by applying Pythagorean' theorem:
PR² = QR² + PQ²
5² = QR² + 4²
25 = QR² + 16
QR² = 25 - 18
QR = √9
QR = 3 units.
For the value of tanP, we have:
tanP = 3/4.
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Related Questions
Each of 6 samples has a different standard deviation. How many of the 6
samples could be from the same population?
A. 6
B. 3
c. 5
D. 4
Answers
The number of six samples that could belong to the same population is equivalent to six.
Option A is the correct answer.
What is the standard deviation?The standard deviation is the indicator to determine the variation between the set of amounts as given in the statistical information.
The population is referred to as the entire information being prescribed in data relating to any concept. If the number of samples in a population is 10, then the samples in the same population will also be 10. This shows the number of samples is always equal to the samples in the same population.
Therefore, the six samples belong to the same population comprising of six samples having varied standard deviations.
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Serena is mixing a material into a beaker filled with a liquid. She notices that the material seems to disappear into
the liquid. What physical property of the material is Serena most likely observing?
Osolubility
conductivity
Answers
Answer:
solubility
Explanation:
• Solubility is the property of an object that makes it dissolve in a solvent, thus making it 'disappear'. This is what is happening in the question.
• Conductivity is the property of a material that allows it to conduct electricity, i.e., it allows electricity to pass through it.
Answer:
Solubility
Explanation:
Solubility makes the material soluble into the water, making it seem like it disappeared. Conductivity is just a property that allows the material to conduct electricity.
what is the point of videos
Answers
Answer:
Videos let you establish authority and a more personal feel to your message. You will be far more likely to connect on an emotional level with your audience if you use video versus another content type. It clearly communicates with the viewer, a great type of marketing.
Explanation:
Why were the Hollywood Ten blacklisted?
because they made movies about controversial subjects
because they were writers, directors, and producers
because they were suspected to have communist ties
because they could not be forced to name radicals they knew
Answers
Answer:
because they were suspected to have communist ties
Explanation:
This was during the years of the cold war and the second red scare where many people were being suspect of having communist ties.
Answer:
Because they were suspected to have communist ties.
Explanation:
Gradpoint
imagine that you are interested in applying for a job as an account representative at national software inc. you plan to submit an application, a résumé, and a cover lefter. list three topics you want to address in the cover letter. then write the first two sentences of the cover letter.
Answers
The three topics that should mention in your cover letter are qualification, experience, and achievements.
In a cover letter for a job application, you can introduce yourself personally and argue why hiring you would be wise. Include specific examples from your prior experience that show you are qualified for the position in your cover letter, which should be three paragraphs or less long.
Three topics of cover letter:
Qualification ExperienceAchievementsTwo sentences of the cover letter:
In reply to your advertisement for the post of an account representative at national software inc, please consider my application for the same. I found that my skills and qualifications is according to your requirements. I have eight years’ experience in this field and I believe I will add value is this job.
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Which statement best explains how the evidence from this excerpt leads to the inference that the message Zimmerman sent was important?
Answers
cows were marked on their rear ends because predators often attack from behind
Answers
Cows were marked on their rear ends because predators often attack from behind is a true statement.
What is Painting Eyes On Cows' Butts about?Studies made in Botswana have shown that painting a kind of large eyes on the rear ends of cows wards is one that put off predators.
Therefore, one can say that Cows were marked on their rear ends because predators often attack from behind is a true statement.
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According the study, painting "Eyes" on the rear ends of the cows tricked predators and fended them away. This is because most of the predators attacked the cattle from behind. This helped to preserve the livestock.
What is the above study about?This study is a research in to the inventive but simple way of reduce losses related to livestock.
It was important to invent this method because the livestock were of economic importance to the people of Botswana.
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A science teacher wrote the table of values below. Amount of Hydrogen vs. pH Amount of Hydrogen, x (in moles per liter) pH, f(x) One-tenth 1 StartFraction 1 Over 100 EndFraction 2 StartFraction 1 Over 1000 EndFraction 3 StartFraction 1 Over 10,000 EndFraction 4 StartFraction 1 Over 100,000 EndFraction 5 Which function models the data in the table? f (x) = StartFraction 1 Over x EndFraction, x not-equals 0 f (x) = log StartFraction 1 Over x squared EndFraction, x not-equals 0 f (x) = log StartFraction 1 Over x EndFraction, x not-equals 0 f (x) = StartFraction 1 Over x squared EndFraction, x not-equals 0
Answers
The function that represents the values in the given table is; f(x) = log (1/x ), x ≠ 0
How to work with a Functional Model?From the attached table, we see that;
If x = 1/10, then f(x) = 1
From logarithm rule;
log(10) = 1
log(100) = 2
For the function f(x) = log (1/x), we have;
when;
x = 1/10, we have;
f(x) = log (1/(1/10)) = log (10) = 1
If x = 1/100, then;
f(x) = log (1/(1/100)) = log (100) = 2
Thus, the final answer is;
f(x) = log (1/x ), x ≠ 0
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Answer:C
Explanation:Just took the test
John bought 15 pines for $3500
determine how much he needs to sell
one pine for to ensure an overall 40%
profit
Answers
Answer:
Explanation:
If John needs to ensure a 40% profit, John needs to sell the pines at a price that would give 40% more money back than he spent.
Since John needs to make back all of the money he spent, plus another 40%, John needs to get back 140% of what he spent.
[tex]140\% = 1.40[/tex]
John spent $3500.
140% of $3500 is $4900.
So, John must bring in $4900 (revenue) selling all 15 pines to achieve a 40% profit.
However, the question asks for the price of a single pine. To find the unit price of a single pine, divide the total revenue by 15.
[tex]\frac{\$4900}{15pines}=\frac{\$326.\bar{6}}{pine}=\$326.66 \text{ per pine}[/tex]
(02.09 MC) Your community faces a challenging issue. Five different plans are identified to address the problem. You will serve on a volunteer committee to e recommendation to the city council. Which economic process will best serve your committee in this task? Circular flow diagram O Cost-benefit analysis Rational decision-making model O Marginal cost and revenue analysis ( 02.09 MC ) Your community faces a challenging issue . Five different plans are identified to address the problem . You will serve on a volunteer committee to e recommendation to the city council . Which economic process will best serve your committee in this task ? Circular flow diagram O Cost - benefit analysis Rational decision - making model O Marginal cost and revenue analysis
Answers
The economic process will best serve your committee in this task's rational decision-making model. Thus the correct answer is C.
What is the rational decision making model?When the optimal selection of solution is utilized, a rational decision-making model is used. It includes evaluating many possibilities while utilizing reliable information or facts to make decisions.
When teams have the time to explore options and discuss potential outcomes, rational decision-making is used. Its objective is to maximize the advantages and reduce the disadvantages of decisions.
Therefore, option C, being a volunteer, a recommendation of the rational decision-making model will be appropriate.
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Answer:
C. Rational decision - making model
Explanation:
Took the test and got it right!
Have a nice day!
Lesson 6 homework practice select an appropriate display answer key
Answers
Answer:
I want to know what the answer is
Explanation:
If x+4 is a factor of x^2-ax-12a and a is a constant, what is the value of a?
Answers
Answer:
[tex]x^{2} -ax-12a=(x+4)(x-4-a)-8a+16\\x+4 is a factor of x^2-ax-12a\\-8a+16=0\\a=2[/tex]
Explanation:
In the interior of the Arctic islands during the melting season , even small streams must be crossed [ A ] with great care [ B ] because near - zero water temperatures and the ICI typically rocky and unstable nature of [D ] stream beds . [ E ] No error
Answers
The error in the sentence above is in: B. because near - zero water temperatures and the.
The type of error in sentences.In English language, there are different type of error in sentences and these include:
Misplacement of the parts of speech.Incorrect subject-verb agreement.Incorrect use of antecedent.Mixing up spellings.Combining possessives and plurals.Misplaced modifiersSentence fragments.Run-on sentence or comma splice.In this scenario, the error in the sentence above is in the word "because" near - zero water temperatures and the. Thus, it should be replaced with the phrase "due to."
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(02.06 LC) Which economic model reveals the variety of options for what to do with your scarce time? O Supply curve Demand curve O Income distribution curve O Production possibilities curve ( 02.06 LC ) Which economic model reveals the variety of options for what to do with your scarce time ? O Supply curve Demand curve O Income distribution curve O Production possibilities curve
Answers
Answer: production possibilities curve
Explanation: A production possibilities curve, or PPC, shows the relative amounts of two things you can "produce" with the time you have. Time is a scarce
resource. A PPC shows the possibilities of how much you could accomplish of each task with your time
Answer: production possibilities curve
Explanation:
