Δjkl has j = 7, k = 11, and m∠j = 18°. Complete the statements to determine all possible measures of angle k. Triangle jkl meets the criteria, which means it is the ambiguous case. Substitute the known values into the law of sines: startfraction sine (18 degrees) over 7 endfraction = startfraction sine (uppercase k) over 11 endfraction. Cross multiply: 11sin(18°) =. Solve for the measure of angle k, and use a calculator to determine the value. Round to the nearest degree: m∠k ≈ °. However, because this is the ambiguous case, the measure of angle k could also be °
The law of sine or the sine law expresses the ratio of the side length of a triangle to the sine of the opposite angle, which exists identical for all three sides. It stands also known as the sine rule.
What is an angle?
An angle exists the figure formed by two rays, named the sides of the angle, sharing a common endpoint, named the vertex of the angle. Angles formed by two rays lie in the plane that includes the rays. Angles exist also formed by the intersection of two planes. These exist named dihedral angles.
The law of sine or the sine law expresses the ratio of the side length of a triangle to the sine of the opposite angle, which exists identical for all three sides. It stands also known as the sine rule.
we know that
Applying the law of sines
[tex]$\frac{k}{\sin K}=\frac{j}{\sin J}$[/tex]
[tex]$\frac{11}{\sin K}=\frac{7}{\sin 18}$[/tex]
[tex]$11 * \sin 18=7 * \sin K$[/tex]
[tex]$\sin K=\frac{11}{7} * \sin 18$[/tex]
[tex]$\sin K=0.4856$[/tex]
[tex]$K=\arcsin (0.4856)$[/tex]
[tex]$K=29^{\circ}$[/tex]
so
∠J=18°
∠K=29°
∠L=180-(18+29)=133°
The answer Part a) exists
The measure of angle K exist ≈29°
Part b) the measure of angle K could also be
(180-29)=151°
so
∠J=18°
∠K=151°
∠L=180-(18+151)=11°
The answer Part b) is
The measure of angle K could also be 151°
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Answer:
Triangle JKL meets the SSA criteria, which means it is the ambiguous case.
Substitute the known values into the law of sines: StartFraction sine (18 degrees) Over 7 EndFraction = StartFraction sine (uppercase K) Over 11 EndFraction.
Cross multiply: 11sin(18°) = 7sin(K)
.
Solve for the measure of angle K, and use a calculator to determine the value.
Round to the nearest degree: m∠K ≈ 29°.
However, because this is the ambiguous case, the measure of angle K could also be 151°.
Explanation:
got it right on edge
What role do genes play in the evolution of species
What can a scientist do to improve the accuracy of their cladograms?
In mockingjay, katniss and gale reach a turning point in their relationship/friendship as they come to have different opinions about the killing of mass amounts of people. How do katniss’s and gale’s views about war differ?
Gianni deposited money into an account in which interest is compounded monthly at a rate of 4. 5%. He made no other deposits or withdrawals and the total amount in his account after 9 months was $1820. 30. How much did he deposit?
Answer:
$1760
Explanation:
Took the test :)
Do you think evil exists? Is there an ultimate cause of evil? If there is an ultimate cause of the good (for example, God) and an ultimate cause of evil (for example, the Devil), which ultimate cause is greater? How do you know? If God exists and God is good, then why does God allow evil in the world? Can God design a world without suffering? If God is dead or does not exist, does this mean that evil will take over the world? Can good exist without God? Are humans free to do evil acts if they have free will? If yes, then is giving humans free will in fact an evil act? Can a person be evil while going good deeds?
Answer:
Evil people don't exist, but evil actions do.
Explanation:
No one can be born completely evil, but they could have done evil things. There isn't one cause of evil, rather, there are many and they vary. An example of one could be massacre ten people because those people killed their child, or friend, or relative of some sort. While it isn't right, there is usually motives. Someone who has hunger for human flesh will kill humans to eat them. It also isn't right, but the hunger is the motive, not the main drive of the person. I don't think God and the Devil exist, but if they did, God could not create a world without suffering. It is impossible to watch everything at once and if God helped us too much, we'd be helpless to defend ourselves and we could not function or advance without God's help. Good can exist without God, because there are always good people out there. Humans are free to do evil acts if they have free will, but that doesn't mean everyone would do evil acts. Giving humans free will is not an evil act, it's like giving lifeless puppets life and watching them. Refusing humans free will is also an evil act, it is basically like slavery. Yes, a person could be evil while doing good deeds because like I said, no one is completely evil.
A bicycle has wheels that are 60 cm in diameter. What is the angular speed of these wheels when it is moving at 4. 0 m/s?
Answer:
ω = 13.33 rad/sExplanation:
Applying,
v = ωr......................... Equation 1
Where v = linear speed, ω = angular speed and r = radius.
Note that,
r = d/2................. Equation 2
Where d = diameter of the wheel.
Substitute equation 2 into equation 1
v = ωd/2............... Equation 3
make ω the subject of the equation
ω = 2v/d................ Equation 4
Given: v = 4 m/s, d = 60 cm = 0.6 m
Substitute these values into equation 4
ω = 2(4)/0.6
ω = 13.33 rad/s
Calculate the bond energy for breaking all the bonds in a mole of methane, ch4
Since there are four C-H bonds present in CH4, the bond energy of CH4 is 1652 kJ/mol.
What is bond energy?The term bond energy refers to the energy required to break the bond between two atoms. We have to note that the bond energy of one mole of a molecule depends on the number of individual bonds in the molecule.
For CH4, we know that there are four C-H bonds present. Each C-H bond has a bond energy of about 413 kJ/mol. As such, the bond energy of CH4 is 4( 413 kJ/mol) = 1652 kJ/mol.
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If you had online homework, but did not have a computer, how would you go about completing this homework?
Answer:
id just use my phone then if i had no computer access
Explanation:
It can depend on the circumstances or the facilities that you have to capable of availing. If you did not have a computer try to complete it using a mobile phone if it is accessible on it. Otherwise, you have to purchase a small and chief laptop.
What are the disadvantages of online homework?The disadvantages of online homework are as follows:
It makes students feel a sense of isolation.It requires self-discipline, which is not possible for small children.They are highly prone to technical issues.It forces students to available more time in front of the screen.It requires additional training for both instructors and children.If you had online homework but did not have a computer. You have only one choice that tries to make arrangements for a phone, and if it is accessible on it, then carry on, otherwise but a small and chief laptop according to your budget.
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Which of the following is true about the base b of a logarithmic function? b > 0 and b = 1 b > 0 and b < 0 and b < 0 and b = 1
The statement which is true of the base, b of a logarithmic function is; b > 0 and b = 1.
Base of a Logarithmic FunctionWhen the base of a logarithmic function is set to a negative number, it follows that;
Such logarithmic function wouldn't give us any real solutions! So the base CANNOT be negative. Putting together all 3 conclusions, we can say that the base of a logarithm can only be positive numbers greater than 1.
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Answer:
a
Explanation:
on edge
If the temperature of a fixed quantity and volume of gas changes, what also changes?
Answer:
Pressure
Explanation:
As per PV=nRT, we know that if volume, quantity and temperature are the kept constant the only thing that changes is pressure.
How career and study choices are influenced by availability of finances/affordability
There are several elements that might impact a person's profession decision. This decision-making process begins when high school graduates decide on the degree they want to pursue while keeping their budget in mind. A college degree is a valuable commodity that many young folks want to get, but it is also growing increasingly expensive. Many students choose a more cheap and practical degree over what they actually want to study because of economic considerations. In truth, college affordability is a catastrophe that the United States is currently confronting. According to the College Board, students at public universities spend more than $20,000 on tuition and room and board alone during the course of a four-year degree. As a result of the crisis, many students are obliged to pursue less costly occupations, which means they must take less expensive degree programs. The cost of receiving a higher education might impact an individual's study choices and, as a result, his or her future employment choices.
A 9.5-foot pole casts a shadow that is 29 feet long. what is the approximate measure of angle l? 0.32 rad 1.24 rad 19.2 rad there is not enough information to answer this question.
Answer:
A 0.32
Explanation:
i got it right
The approximate measure of an angle is calculated as 0.32 radian. Thus, the correct option for this question is found to be A.
What do you mean by Trigonometric functions?Trigonometric functions may be characterized as those functions that are actual and tangible in all respective forms. They simply function as the angle of a triangle. The three basic and most fundamental trigonometry functions may include Sine, Cosine, and Tangent.
According to the context of this question,
We have a right-angled triangle and require to find the angle L. This is found with help of the Tangent of an angle in a right-angled triangle. It is the respective ratio of the opposite side to the adjacent side.
The height of a pole = 9.5 feet.
The height of the shadow which is formed = 29 feet.
tan L = JK / LK
tan L = 9.5 / 29
L = tan⁻¹ (9.5 / 29)
L = 0.31657 radians ≅ 0.32 radians.
Therefore, the approximate measure of an angle is calculated as 0.32 radian. Thus, the correct option for this question is found to be A.
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Now, think about everything that you read. Why was building the summit tunnel considered an engineering marvel? write a paragraph that explains your ideas
Answer: They had long days, over a one-third mile. People built from both ends and from the middle to the tunnels.
Explanation: from edge 2022
Answer:
It was very long, just over one-third of a mile. It was built through hard stone called granite. Crews built it from both ends and from the middle, and the tunnels were just two inches off. It was 124 feet inside the mountain and was built entirely by hand.
The number of blogs (or weblogs) grew rapidly for several years. According to one report in august 2006, since early in 2004 the number of blogs doubled in size every six months or so. There were about 2 million blogs in march 2004. Let n denote the number (in millions) of blogs and d the number of doubling periods since march 2004. Use a formula to express n as an exponential function of d
Answer: N=2 x 2^d
Explanation:
2006- 2004= 2( initial value)
Multiplied by 2^d because your doubling the amount from 2004
For a 1. 0×10−2 m solution of nh4clo4(aq), arrange the species by their relative molar amounts in solution
Corey deposited $700 into a savings account that pays a simple annual interest rate of 2. 9%. How much interest will he earn after 3 months?
The simple interest that Corey will earn after 3 months is $5.075
What is simple interest?Simple interest is a calculation of interest that doesn't take into account the effect of compounding.
The simple interest (SI) is computed as :
= p * r * t / 100
= 1 / 100 ( 700 * 2.9 * 3 / 12 )
= 7 * 2.9 * 1 / 4
= 5.075
Hence, the simple interest that Corey will earn after 3 months is $5.075
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You will write a story which relates the events of your life from past
so, is it like u need help making one or sum?
The ptolemaic model of the universe describes earth as
After a building explode, ems delivers 33 critically injured patients to your hospital where you work as an er nurse. which type of leadership would be the most effective in er personnel?
The type of leadership which would be the most effective in er personnel is transformational and authoritative leadership.
What is Leadership?This can be defined as the ability of an individual or a group to influence and guide its followers.
The transformational and authoritative leadership helps to stretch boundaries and ensure swift decisions are taken for their survival.
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The box and whisker plot represents the number of telemarketing calls received by households last month. Which statements are correct?
Answer:
its c
Explanation:
i think
What is the main idea of the bolded paragraph? thoreau lived in massachusetts. Thoreau did not support slavery. Thoreau led a slave rebellion. Thoreau was born in 1917
The main idea of the bolded paragraph is that "Thoreau did not support slavery." (Option B)
How is this so?Thoreau, in his late 20s, started speaking against slavery in public, aligning himself with other prominent abolitionists like Frederick Douglass and Lewis Hayden. This indicates that Thoreau did not support slavery, making option b, "Thoreau did not support slavery," the correct answer.
The bolded paragraph states that Thoreau began speaking against slavery, aligning himself with other abolitionists.
This implies that Thoreau did not support slavery. Therefore, option b) Thoreau did not support slavery is the correct answer.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Question 1 (5 points)
(LC)
Civil Disobedience
Part 1
Henry David Thoreau lived from 1817 until 1862, mainly in the area of Concord, Massachusetts. The issue that would tear the country apart in the 1860s had already begun dividing the nation. Thoreau was only 14 when Nat Turner led the slave rebellion in Virginia and was later hanged. In his late 20s, Thoreau began speaking against slavery in public, echoing the voices of freedmen like Frederick Douglass and Lewis Hayden.What is the main idea of the bolded paragraph? (5 points)
a
Thoreau lived in Massachusetts.
b
Thoreau did not support slavery.
c
Thoreau led a slave rebellion.
d
Thoreau was born in 1917.
1) what does the ghost instruct hamlet to do concerning hamlet's mother?
Answer:
The ghost exhorts Hamlet to seek revenge, telling him that Claudius has corrupted Denmark and corrupted Gertrude, having taken her from the pure love of her first marriage and seduced her in the foul lust of their incestuous union.
A typical neutron star has a mass of about 1. 5msun and a radius of 10 kilometers
How thick a layer would Earth form as it wraps around the neutron star’s surface is: 6.67 10⁻³ m.
Density of the Neutron starDensity
ρ = m / V
Where:
ρ= density
m = mass of the planet 5.98 10²⁴ km
V =volume of the spherical layer
Volume of a sphere
Volume = 4/3 π r³
Mass = 1.5 = 1.5 1,991 10³⁰
Mass= 2.99 10³⁰ kg
Density:
ρ = 2.99 10³⁰ / [4/3 π (10 10³)³]
ρ is = 7.13 10 17 kg / m³
V = 5.98 10²⁴ / 7.13 10¹⁷
V = 8,387 10⁶ m³
Thickness of the layer
V = 4π r² e
e = V / 4π r
e = 8,387 10⁶ / [4π (10 10³)²]
e = 6.67 10⁻³ m
Inconclusion how thick a layer would Earth form as it wraps around the neutron star’s surface is: 6.67 10⁻³ m.
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When baking a cake you have a choice of the following pans
Using both the rotation matrices earlier in this lesson and your matrix calculator, find each determinant. det −1 0 0 −1 = det 0 1 −1 0 = find the following determinant by hand. det 1 2 2 − 2 1 2 = in mathematics, a pattern may suggest a conclusion, but it is not proof of it. next you will prove that the determinant of a rotation matrix (ccw about the origin) must be 1. luckily, there is the general rotation matrix you can use. det cosx −sinx sinx cosx =
Answer: cos2x + sin2x
Explanation:
edge!
Answer:
Cos2x+Sin2x
Explanation:
In mathematics, a pattern may suggest a conclusion, but it is not proof of it. Next you will prove that the determinant of a rotation matrix (CCW about the origin) must be 1. Luckily, there is the general rotation matrix you can use.
The american association of individual investors (aaii) conducts a weekly survey of its members to measure the percent who are bullish, bearish, and neutral on the stock market for the next six months. For the week ending march , , the survey results showed bullish, neutral, and bearish. Assume these results are based on a sample of aaii members
The information about the American association of individual investors shows that the test statistic is -1.89.
How to calculate the test statistic?From the complete information, it was stated that the survey results showed 33.2% bullish, 39.6% neutral, and 27.2% bearish and there were 300 members.
Therefore, the test statistic will be:
= 0.332 - 0.385 / (✓0.385 × ✓0.615 / ✓300)
= -1.89
In conclusion, the test statistic is -1.89.
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10. In cell r8, enter a formula using the averageif function and structured references to determine the average number of post-secondary years for students who have been elected
The formula is an illustration of Excel functions and formulas
The formula to enter in cell R8 is =AVERAGEIF(M2:M31,"Elected",D2:D31)
How to determine the formulaThe AVERAGEIF function is used to calculate the average of a range of numbers if a certain condition is true.
From the complete question,
The range is M2 to M31
The condition is to check is the students in range D2 to D31 have been elected
The syntax of the AVERAGEIF function
=AVERAGEIF(range,criteria,average_range)
So, the formula to enter in cell R8 is =AVERAGEIF(M2:M31,"Elected",D2:D31)
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Answer: =AVERAGEIF(i2:i31,"Yes",D2:D31)
Explanation:
The formula is an illustration of Excel functions and formulas
The formula to enter in cell R8 is =AVERAGEIF(i2:i31,"Yes",D2:D31)
How to determine the formula
The AVERAGEIF function is used to calculate the average of a range of numbers if a certain condition is true.
From the complete question,
The range is M2 to M31
The condition is to check is the students in range D2 to D31 have been elected
The syntax of the AVERAGEIF function
=AVERAGEIF(range,criteria,average_range)
So, the formula to enter in cell R8 is =AVERAGEIF(i2:i31,"Yes",D2:D31)
Archeologists have found fossil remains of some of the first land animals in layer c. it has been suggested that c-14 be used to data the fossils. some archeologists have objected and suggested that it would be best to use u-238 or pb-206 to date the rock layer instead. why would they make such a suggestion?
Refer to table 7-11. Both the demand curve and the supply curve are straight lines. If the price is $4 but only 6 units are bought and sold, consumer surplus will be
The demand curve shows the relationship between the price of a good and the demanded quantity for a time period.
What is Customer Surplus?This refers to the economic measurement of the price which a customer will pay about the purchase of a service is less than what they are willing to pay.
Please note that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.
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