What is the exact value of tan 30°? enter your answer, as a simplified fraction, by filling in the boxes.
Answers
Answer:
√3 / 3
Explanation:
Here,
tanx = sinx / cosx
By substituting the values , we get ,
tan ( 30 ) = 1/2
————
√3/2
Now,
By multiplying both numbers,
tan ( 30 ) = 1/√3
At Last,
Multiplying both numbers by square root 3,
tan ( 30 ) = √3/√3 * √3 = √3 / 3 . answer
Answer:
please see photo above for detailed analysis.
Related Questions
Which description of the transformation of z on the complex plane gives the product of and 2 = startroot 8 endroot (cosine (startfraction pi over 4 endfraction) + i sine (startfraction pi over 4 endfraction) )? scale z by a factor of 4, then rotate counterclockwise startfraction pi over 2 endfraction radians scale z by a factor of startroot 8 endroot, then rotate counterclockwise startfraction pi over 2 endfraction radians scale z by a factor of startroot 8 endroot, and then rotate counterclockwise startfraction pi over 4 endfraction radians scale z by a factor of 4, then rotate counterclockwise startfraction pi over 4 endfraction radians
Answers
Answer:
Scale z by a factor of [tex]\sqrt{8}[/tex], and then rotate counterclockwise [tex]\frac{\pi }{4}[/tex] radians.
Explanation:
Got it right on Edge 2022 (I'm assuming it's this question)
Answer:
C. scale z by a factor of StartRoot 8 EndRoot, and then rotate counterclockwise StartFraction pi Over 4 EndFraction radians
Explanation:
Why does benvolio think that romeo should attend capulet's party
Answers
Answer:
Benvolio thinks that Romeo should go to the Capulet party, if only to see all of the beautiful girls. He should forget Rosaline and allow his eyes to wander freely. By giving liberty unto thine eyes.
Explanation:
D Romeo is a Montague, but Benvolio is a Capulet. THIS SET IS OFTEN IN FOLDERS WITH... An Introduction to Shakespeare and Romeo and Julie… An Introduction to Shakespeare and Romeo and Julie
A random sample of 150 students is chosen from a population of 5,000 students. the mean iq in the sample is 110, with a standard deviation of 10. what is the 95% confidence interval for the students' mean iq score? 100–120 107.9–112.1 108.4–111.6 108.66–111.34
Answers
Look at the feet of this peregrine falcon. explain how they help make this bird well-adapted to feed on other birds and mammals.
Answers
Evolution via natural selection makes this bird well-adapted to feed on other animals such as birds and mammals.
What is natural selection?Natural selection is the differential survival and reproduction process/mechanism by which evolution occurs.
Natural selection act to select the fittest well-adapted organisms in particular environmental conditions.
This process (natural selection) is the main mechanism for which new adaptations emerge in nature.
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A neutral metal sphere is touched by a negatively charged metal rod. during the process, electrons are transferred from the _____ to the _____ and the sphere acquires a _____ charge
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Name the two philippine theater groups that present original and adapted plays in filipino
Answers
Answer:
The two philippine theater groups that present original and adapted plays in filipino are as given below:-
Tanghalang AteneoTeatro TomasinoExplanation:
#hope it helped!
Which of the following is NOT a character effect?
a.
Italic
b.
Times New Roman
c.
Bold
d.
Shadow
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
B is not a character effect, it is a type of font.
Which is the best definition of the word garrulous as it is used in this sentence? a) cruel and unkind b) overweight and generally unhealthy c) quiet, untalkative, and mostly silent d) excessively talkative in a rambling, roundabout manner
Answers
Answer:
d) excessively talkative in a rambling, roundabout manner
Explanation:
A lender estimates that the closing costs on a $165,000 home loan will be $6,187.50. the actual closing costs were 3.5% of the loan amount. determine if the closing costs were higher or lower than the estimate and by what percent? a. higher by 0.25% b. higher by 0.5% c. lower by 0.25% d. lower by 0.5% please select the best answer from the choices provided a b c d
Answers
Answer:
your answer will be c your welcome
In tintern abbey who accompanies the speaker in the poem
Answers
The person who accompanies the speaker in the poem titled Tintern Abbey is found to be; His Sister
Who is the companion of the speaker in the poem?
The full title of the poem was "Lines Composed a Few Miles Above Tintern Abbey," written by In William Wordsworth's .
In the poem, we see that the speaker is visiting a place he has seen once before. However, this time, he sees it in a different way and as such the speaker is now able to stop and appreciate the natural beauty right before his eyes.
Finally wee see that his companion is his sister because he said the following;
"For thou art with me here upon the banks
.......May I behold in thee what I was once,
My dear, dear Sister!"
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Which best summarizes the central idea of the excerpt? nonstandard forms of english are only appropriate among family members. standard forms of english imply a lack of family values and closeness. nonstandard forms of english imply close relationships and family values. standard forms of english are not appropriate among family members.
Answers
Mother Tongue is an essay by Amy Tan is about the language barrier and judging society. Nonstandard forms of language point to intimate relationships.
What is the theme of Mother Tongue?Mother Tongue is an essay that describes the challenges faced by the parents who do not speak proper English or communicate in non-standard English. This leads to the development of language used by the speaker to communicate with her mother.
The non-standard English used in the household increases the bond and affection between the members and increases the non-traditional relationship between parents and children.
Therefore, option C. nonstandard English indicates a close relationship.
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Answer:
c
Explanation:
A quality control engineer is testing the battery life of a new smartphone. the company is advertising that the battery lasts 242424 hours on a full charge, but the engineer suspects that the battery life is actually less than that. they take a random sample of 303030 of these phones to test h_0: \mu=24h 0 :μ=24h, start subscript, 0, end subscript, colon, mu, equals, 24 hours versus h_\text{a}: \mu < 24h a :μ<24h, start subscript, start text, a, end text, end subscript, colon, mu, is less than, 24 hours, where \muμmu is the mean battery life of these phones. the sample data had a mean of 212121 hours and a standard deviation of 161616 hours. these results produced a test statistic of t\approx-1.03t≈−1.03t, approximately equals, minus, 1, point, 03 and a p-value of approximately 0.1560.1560, point, 156. assuming the conditions for inference were met, what is an appropriate conclusion at the \alpha=0.10α=0.10alpha, equals, 0, point, 10 significance level?
Answers
The appropriate conclusion of the hypotheses is that; there is insufficient evidence to support the claim that the mean battery life not up to 24 hours.
What is the Conclusion of the Hypothesis?
We are given;
Null Hypothesis; H₀: μ = 24
Alternative Hypothesis; Hₐ: μ < 24
We are aslo given that;
Significance level; α = 0.10
test statistic; t = 1.03
p-value = 0.156
Now, we see that our p-value is greater than the significance value and as such since the alternative hypothesis is the claim we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the mean battery life not up to 24 hours.
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The bollywood film industry is an important part of the culture of theater and arts in __________. a. india b. china c. korea d. japan
Answers
Answer:
India
Explanation:
coz bollywood is mainly from india /
Answer:
india
Explanation:
I took the test
In a criminal case, the state’s case is represented by the _____.
Answers
Answer:
C - prosecutor
Explanation:
took the test edge 2022
Place the following substances in order of decreasing vapor pressure at a given temperature. pf5 brf3 cf4
Answers
The order of decreasing vapor pressure at a given temperature is CF4 > PF5 > BrF3.
What is Vapor pressure?
This is defined as the pressure exerted by the gas in equilibrium with a solid or liquid in a closed container at a given temperature.
CF4 has very little vapor pressure as a result of its symmetrical structure which is why it has the least vapor pressure.
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Heather receives a phone call, in which an automated voice states that her credit card has been used fraudulently and that she must enter her 16-digit credit card number, using the keypad of her phone, to clear up the error. what should heather do next?
Answers
The next step which Heather should take is; to hang up and call her credit card company using the 1-800 number on the back of her card.
What is the position of the Character in the Passage?From the story, we can see that Heather was a target of an attempted phone fraud whereby callers asked her to give her 16-digit credit card details such that the supposed error could be cleared up.
Now, It is pertinent to note that this information can be used to steal money from her checking account and Heather would best not give out such sensitive details over the phone, but call the company to see if the call was really from them.
Thus, the next step which Heather should take after she has gotten a fraudulent call asking for her credit card details is to hang up and call her credit card company using the 1-800 number on the back of her card to inquire about the issue or report the attempted phone fraud.
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Recall that in a 45 – 45 – 90 triangle, if the legs each measure x units, then the hypotenuse measures x units. (72π – 144) mm2 (72π – 72) mm2 (288π – 288) mm2 (288π – 144) mm2
Answers
The area of the shaded region is = (72π - 144) mm²
What is the area of a shaded region?The area of a shaded region is that enclosed part of a plane figure that is shaded.
Suppose;
A square is inscribed in a circle with a diameter of 12√2 millimeters. Everything outside of the square is shaded.Let's first find the area of the circle.
Area of circle = [tex]\mathbf{\pi r^2}[/tex]
Area of circle = [tex]\mathbf{\pi \times (\dfrac{12 \sqrt{2}}{2})^2}[/tex]
Area of circle = 72π sq mm
We know that the side of the inscribed square = [tex]\mathbf{\dfrac{12\sqrt{2}}{\sqrt{2}}}[/tex] = 12 mm
Area of the square = side(L)²
Area of the square = 12²
Area of the square = 144 sq mm
Now, the area of the shaded region can be estimated by finding the difference between the area of the square from that of the circle.
i.e.
The area of the shaded region is = (72π - 144) mm²
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Answer:
A
Explanation:
:)
If you have a solution with a [h+] of 1.58x10-6 m, what is the ph of the same solution?
Answers
pH is the potential of the hydrogen ion concentration in an aqueous solution. The pH of the solution will be 5.801.
What is pH?pH is the measurement of the acidic and the basic characteristic of the solution by the hydrogen or the hydronium concentration.
The formula for pH is given as,
[tex]\rm pH = \rm - log [H^{+}][/tex]
Here, the concentration of the hydrogen in the solution is given as [tex]1.58 \times 10^{-6}\;\rm m.[/tex]
Substituting values in the above equation:
[tex]\begin{aligned} \rm pH &= \rm - log [H^{+}]\\\\&= \rm - log [1.58 \times 10^{-6}]\\\\&= 5.801\end{aligned}[/tex]
Therefore, 5.8 is the pH of the solution.
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It is enough to describe the proposed business as a sole proprietorship in the business description section
Answers
The statement is true logically, as it is enough for a business owner to describe the proposed business as a sole proprietorship.
What is sole proprietorship?A sole proprietorship is a form of business organization that is owned and operated by a single person. In this form of business, all the rules, policies, liabilities, profits and losses are under the control of the business owner.
The given statement is true because the sole proprietorship form of business is usually on a small scale and owned by a single person, therefore it is enough.
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When a 60 hz sinusoidal signal voltage is applied to the input of a half-wave rectifier, the output frequency is
Answers
How much pressure would 0.8 moles of a gas at 370 k exert if it occupied 17.3 l of space?
Answers
Answer:
1.4 atm
Explanation:
How do brutus’s and caesar’s dilemmas in these passages contribute to meaning? both dilemmas are fueled by a desire for power. both dilemmas result in brutus and cassius conspiring against caesar. both dilemmas are revealed through soliloquies. both dilemmas lead to renewed trust and loyalties.
Answers
The Brutus’s and Caesar’s dilemmas in these passages contribute to meaning is both dilemmas lead to broken trust and loyalties.
What is passages reading?Passage reading is the method of reading and understand the passages. In the passage reading, one has to answer the question related to passage after reading it.
The given passage is attached in the figure below. The options given for this passage are:
Both dilemmas are fueled by a desire for power. Both dilemmas result in brutus and cassius conspiring against caesar. Both dilemmas are revealed through soliloquies. Both dilemmas lead to renewed trust and loyalties.Thus, the Brutus’s and Caesar’s dilemmas in these passages contribute to meaning because they are fueled by a desire for power.
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Answer:
B. both dilemmas result in Brutus and Cassius conspiring against caesar.
Explanation:
i did it
Ideally the backrest is tilted back slightly so when you turn the wheel your shoulders are
Answers
As an aqueous solution becomes more acidic the hydroxide ion concentration
Answers
Which details should be included in a paraphrase of the passage? select three options. cassius retells the story of the river to show that caesar was stronger than cassius and other ordinary men. on a cold and windy day while the waves of the river beat upon the shores. even though i was still dressed in armor, i jumped in on his dare and asked him to follow me. caesar and cassius argued about the river. before we could reach our determined point, caesar started to sink, and cried out to me for help.
Answers
The details that should be included in a paraphrase of the passage from act 1, scene 3, of Julius Caesar are;
On a cold and windy day while the waves of the river beat upon the shores.Even though I was still dressed in armor, I jumped in on his dare and asked him to follow me.Before we could reach our determined point, Caesar started to sink, and cried out to me for help.What is a paraphrase?Paraphrasing means the restatement of a text in different words, often to clarify meaning. It helps to understand the text in a simpler context.
The excerpt from act 1, scene 3, of Julius Caesar can be paraphrased using the following details;
Even though I was still dressed in armor, I jumped in on his dare and asked him to follow me.On a cold and windy day while the waves of the river beat upon the shores.Before we could reach our determined point, Caesar started to sink, and cried out to me for help.Learn more about paraphrase:
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Answer:
The answers will be:
2 - On a cold and windy day while the waves of the river beat upon the shores.
3 - Even though I was still dressed in armor, I jumped in on his dare and asked him to follow me.
5 - Before we could reach our determined point, Caesar started to sink, and cried out to me for help.
Explanation:
How this helped !
Brainstorm a way to make a dangerous sport less dangerous
Answers
Driving at a safe speed is particularly important because kinetic energy __________.
Answers
Answer:
increases with the square of speed.
Chan is conducting research about how to become a successful video blogger, or vlogger. which source is the most relevant to his topic?
Answers
The source that is most relevant to his topic is an article titled “Six Steps to Creating a Successful Vlog Channel.
Who is a video blogger?A video blog known as vlog is often described as a blog done that is said to be made up of a lot of videos that can help one regarding an issue of concern,
Conclusively, By Chan looking at a video or any article that is titled “Six Steps to Creating a Successful Vlog Channel, he can be able to follow the steps and start is own vlog.
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Bosio inc.'s perpetual preferred stock sells for $120.00 per share, and it pays an $8.50 annual dividend. if the company were to sell a new preferred issue, it would incur a flotation cost of 4.00% of the price paid by investors. what is the company's cost of preferred stock for use in calculating the wacc?
Answers
The value of WACC from the given information is about 7.4%.
What is WACC?WACC is defined as the weighted average cost of capital. It is the rate at which a firm is projected to pay all of its security holders on average to finance its assets.
The firm's cost of capital is frequently referred to as the WACC. It is important to note that the external market, not management, determines this.
The formula of WACC is:
[tex]\text{Weighted Average Cost of Capital (WACC)} = \dfrac{\text{Annual Dividend}}{\text{Sales price of Proffered Stock} - \text{Sales price} \times \text{FC}}[/tex]
According to the given information,
Annual Dividend = $8.50,
Sales price of Proffered Stock =$120.
Flotation Cost(FC) = 4%.
Now, putting the values in the formula of WACC,
[tex]\text{Weighted Average Cost of Capital (WACC)} = \dfrac{\text{Annual Dividend}}{\text{Sales price of Proffered Stock} - \text{Sales price} \times \text{FC}}\\\\\text{Weighted Average Cost of Capital (WACC)} =\dfrac{8.5}{\$120- (\$120 \times 4\%)}\\\\\text{Weighted Average Cost of Capital (WACC)} =0.074(Approx.)[/tex]
Then, the WACC in terms of percentage is 7.4%.
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Read and choose the option with the irregular verb in the imperfect tense. comías con tu padrastro todos los días. ¿hablabas con tu padrastro todos los días? llamabas a tu padrastro todos los días. ¿veías a tu padrastro todos los días?
Answers
According to the context, the correct sentence with the irregular verb in the imperfect tense is ¿veías a tu padrastro todos los días?.
What is the imperfect tense?It refers to actions with a certain duration in the past or that were carried out simultaneously with other actions.
As with other verb tenses, there are rules for conjugating verbs in the imperfect tense in Spanish, where the ending of the verb will change depending on the subject of the sentence and the original ending in the infinitive.
However, the verb ''ver'' has an irregular verb conjugation and is pronominal, so it will not follow the regular verb conjugation rules.
Therefore, we can conclude that according to the context, the correct sentence with the irregular verb in the imperfect tense is ¿veías a tu padrastro todos los días?.
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Answer: ¿Veías a tu padrastro todos los días?
Explanation: ¿Veías a tu padrastro todos los días?