Given triangle NEB NE is 7.5cm and TAN of B is Fill in the rest of the triangle. 3/4

A Side BN equals

A SIN of B equals

7.5

E

N

side BE equals

Given Triangle NEB NE Is 7.5cm And TAN Of B Is Fill In The Rest Of The Triangle. 3/4A Side BN EqualsA

Answers

Answer 1

Using trigonometric ratios, we have been able to deduce that;

BE = 10 cm; sin B = 3/5 and cos B = 4/5

How to use trigonometric ratios?

The basic trigonometric ratios for an angle θ are expressed as;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

Now, looking at the given triangle NEB, we are given that;

NE = 7.5 cm

tan B = 3/4

angle E = 90°

If tan B = 3/4, then it means that;

3/4 = NE/BE

since NE = 7.5, then we can say that;

3/4 = 7.5/BE

BE = (7.5 * 4)/3

BE = 10 cm

By Pythagoras theorem, we can say that BN = 12.5 cm.

Thus;

sin B = opposite/hypotenuse = 7.5/12.5 = 3/5

cos B = adjacent /hypotenuse = 10/12.5 = 4/5

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Answer 2

Using trigonometric ratio, the side BN is 12.5 units, sin and cos angle of B are 36.9 degrees respectively

Trigonometric Ratio

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.

In this problem;

A)

Tan B = 3/4

BN = ?

Tan B = NE / BE

3/4 = NE / BE

BE = NE / 3/4

BE = 7.5 / 0.75

BE = 10

The side BN can found using Pythagoras theorem

BN² = BE² + NE²

BN² = 10² + 7.5²

BN = 12.5

B)

Sin B = NE / NB

sin B = 7.5 / 12.5

sin B = 0.6

B = sin⁻¹(0.6)

B = 36.9°

C)

Cos B = BE / NB

cos B = 10 / 12.5

B = cos⁻¹(10/12.5)

B = 36.9°

The length of Bn is 12.5cm, and sin and cos angle of B is 36.9 degrees respectivelt

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Related Questions

For the function: y = startroot x minus 7 endroot minus 1 the domain is : x ≥ the range is: y ≥

Answers

The function's range is in the interval (1, ∞).

What is  function's range ?

Members of a set can congregate in mathematics.

These sets' constituents are referred to as elements. The correspondence between the two groups is known as a relation when the elements of each group are paired up together.

So, between two sets, a relation is a collection of ordered pairs of elements.

The term "function" refers to a particular type of relation where each element in the first group, referred to as the domain, corresponds to exactly one element in the second group, referred to as the range.

The elements in the domain couple with exactly one element in the range, and this is how a function is a pairing between two sets.

According to our question-

[7, ] is the interval notation.

The function's range falls between the numbers (1, ).

provided function

Determine the function's domain:

You do not want to use a counterargument to the square root in this situation (you cannot find the solution of a negative square root, at least as a real number).

What you actually do is "impose" that the argument always ends in a yes or a no (you know the square root of a positive number or zero).

You then solve for x to determine the variable's ALLOWED values by setting the argument greater than or equal to zero:

Consequently, the function is in the domain.

Find the function's range:

The set of all y values in the function's range is when,

range of the function is in the interval  (1, ∞).

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Answer: first 7,1 second 7, -1

Step-by-step explanation: edge 2023

Good points please answer

Answers

The values of given functions are Sin2x = 120/169, Cos2x = 119/169 and tan2x = 120/119.

What are trigonometric equation?

Trigonometric equation is a condition including at least one trigonometric ratios of obscure points. It is communicated as proportions of sine(sin), cosine(cos), tangent(tan), cotangent(cot), secant(sec), cosecant(cosec) points. For instance, cos2 x + 5 sin x = 0 is a mathematical condition.

According to question:

We have,

Cosx = 12/13

Use sin^2(x) + Cos^2(x) = 1

sinx = [tex]\sqrt{1-cos^{2}x}[/tex] = 5/13

We know that

Sin2x = 2sinxcosx

Sin2x = 2(5/13)(12/13)

Sin2x = 120/169

Using cos2x = 2cos^2x - 1

cos2x = 2(12/13)^2 - 1

Cos2x = 119/169

Then, using tanx = sinx/cosx

tan2x = sin2x/cos2x

tan2x = [tex]\frac{\frac{120}{169} }{\frac{119}{169} }[/tex] = 120/119

Thus, required values Sin2x = 120/169, Cos2x = 119/169 and tan2x = 120/119

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Required solution is

[tex]Sin2x=-\frac{120}{169} \\\\\\Cos2x=-\frac{119}{169} \\\\\\Tan2x=\frac{120}{119}[/tex]

What is trigonometric ratios?

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

[tex]cos2x=cos^2x-sin^2x[/tex]

[tex]sin2x=2sinxcosx\\\\tan2x=(2tanx)/(1-tan2x)[/tex]

..

[tex]sinx= -\frac{12}{13}[/tex]

you are working with a (5-12-13) reference right triangle in quadrant IV where sin<0,cos>0,tan<0

[tex]sinx=-\frac{12}{13} (given)\\\\\cosx=\frac{5}{13} \\\\tanx=-\frac{12}{5}[/tex]

..

[tex]cos2x=cos^2x-sin^2x=\frac{25}{169-144} \times \frac{1}{69} =-\frac{119}{169} \\\\\\sin2x=2sinxcosx=2\times(-\frac{12}{13}) \times (\frac{5}{13} )=-\frac{120}{169} \\\\\\tan2x=\frac{2tanx}{1-tan^{2}x } \\\\\\=2(-12/5)/(1-(144/25))=(-24/5)/(-119/25)=(-24/5)(25/119)=\frac{120}{119}[/tex]

required solution is

[tex]Sin2x=-\frac{120}{169} \\\\\\Cos2x=-\frac{119}{169} \\\\\\Tan2x=\frac{120}{119}[/tex]

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David catches 75 camels, tags them, and releases them. ​A few weeks later, a helicopter pilot takes an aerial photograph of 310 camels, 25 of which are tagged. To the nearest whole number, what is the best estimate for the camel population?

Answers

Answer:

103

Step-by-step explanation:

[tex]\frac{75}{310} = \frac{25}{p}\\ 25 X \frac{310}{75} = 103[/tex]

Original Equation: y = 2x + 7


Which equation will shift the graph of the original equation up 2 units?
Responses
A y = 2x + 9y = 2x + 9
B y = 2x + 5y = 2x + 5
C y = 2x + 2y = 2x + 2
D y = 2x - 2y = 2x - 2
E y = 4x + 7

Answers

Therefore the solution to the given question equation will shift the graph of the original equation up 2 units in  y=2x + 9

What is equation?

equation, a declaration of equivalence between two expressions with variable- and/or number-filled expressions. In essence, equations are questions, and efforts to discover a method for answering them have fueled the growth of mathematics. Equations range in complexity from straightforward addition-and-multiplication equations in mathematics through differential equations, exponential equations that use exponential expressions, and integral equations.

Here,

It follows a linear function. y=mx + b

If A is the location where the y-axis intersects, then x = 0 and y = b are the coordinates of A.

In order to move the graph up by 2 units, you must add 2 units to b.

In our case, b was originally equal to 7, so shifting it up makes b become 7+2=9, and the new function is y=2x + 9.

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Solve for y in the equation, y = mx when m = 13/40 and x = 362 feet.



y = [1] feet

Round your answer to the nearest tenth.

Answers

Answer:117.7

Step-by-step explanation: m is 13/40, I converted that to decimal form which was .325. I then multiplied 362 by .325 to get 117.65, then rounded to the nearest tenth

#6: Clayton is flying a model helicopter. The helicopter starts
on the roof of a building that is 85 feet above the ground.
Clayton makes the helicopter climb at a constant rate. After
10 seconds, the helicopter is 120 feet above the ground. How
many feet above the ground will the helicopter be after 20
seconds?
A. 130 B. 155 C. 205 D. 240

Answers

Answer:

155 feet

Step-by-step explanation:

the building is 85 feet high that's where drone starts

the drone flies to 120 feet in 10 seconds from 85 feet so the rate equals 35 feet per 10 second

in 20 seconds the drone would be 70 feet higher.

so the final height would be 85 feet plus 70 feet which equals 155 feet.

hope that helps

if there are five people in a car and 1 person is the driver, how many unique seating arrangements are there

Answers

Answer:

none

Step-by-step explanation: if the person driving is one of the five people than none

Write a system of equations to describe the situation below, solve using substitution, and fill in the
blanks.
Tony is starting a business selling handmade necklaces. He has decided to invest an initial amount of
$381 for advertising, and materials cost $8 for each necklace he makes. Tony can sell his creations for
$9 per necklace. Once he makes and sells a certain number of necklaces, he will break even, with
identical expenses and sales. How many necklaces would that take? What would the total expenses and
sales be then?
After selling
necklaces, Tony would have total expenses and sales of $

Answers

It will take the sales of 381 necklaces to reach break-even.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given that Tony invest an initial amount of $381 for advertising, and materials cost $8 for each necklace he makes. Tony can sell his creations for $9 per necklace.

Let the number of necklace be x then;

8x + 381 = 9x

Solving;

9x - 8x = 381

x = 381

Therefore, Total expenses = 8x + 381

8(381) + 381

= 3429

Thus, Total sale = 9x = 3429

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Suppose sine (x) = four-fifths and cos(x) < 0. What is the value of cos(2x)? negative startfraction 14 over 25 endfraction negative startfraction 7 over 25 endfraction startfraction 7 over 25 endfraction startfraction 14 over 25 endfraction.

Answers

Because the value of x is 126° and the value of cos 2x is -0.301, which is fractionally identical to -7/25, the value of cos 2x will be -7/25.

What is trigonometry?

Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circle functions) that make up trigonometry. The sine, cosine, and tangent are the three fundamental trigonometric operations. The cotangent, secant, and cosecant functions are derived from these three basic functions. On these functions, all trigonometrical concepts are built.

Here,

sin x=4/5

x=126°

Cos 126°=-0.588

cos (2*126)=-0.310

The value of cos 2x will be -7/25 because value of x is 126° and that of cos 2x is -0.301 that is fractionally equal to -7/25.

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Answer:

B

Step-by-step explanation:

on edge

33 points! Help please! Simplify 8 - (4)(3)/cube root 8 + 5

A. 12/7
B. -12/7
C. 4/7
D. -4/7

Answers

The given expression is simplified as -4/7. So, the correct option is D.

What is simplify?

To 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.

Given that, (8-(4)(3))/(∛8 +5).

The given expression can be simplified as follows

Numerator of fraction simplified as 8-(4)(3)

= 8-12

= -4

Numerator of fraction simplified as (∛8 +5)

We know that, cube root of 8 (∛8) is 2

=(2 +5)

= 7

Thus, the fraction is -4/7

So, the expression (8-(4)(3))/(∛8 +5) is reduced to -4/7.

The simplified form of expression is -4/7. Therefore, option D is the correct answer.

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what effect does increasing the sample size have on the probability? provide an explanation for this result.

Answers

Increasing the given sample size will decreases the probability because σx will decreases as n value increases.

In Statistitics whenever we test a hypothesis for testing a statistic, we use confidence interval. Confidence interval is on either side of an assumed value a margin of error. Margin of error is calculated as critical value * sigma/sqrt of n. Thus we find that whenever n increases, margin of error decreases.

Thus making confidence interval narrower and thus making probability for accepting null hypothesis a less value. As the pattern sizes increase, the range of every sampling distribution decreases so they emerge as more and more leptokurtic. The variety of the sampling distribution is smaller than the variety of the authentic populace. Therefore, as a pattern length increases, the pattern imply and general deviation might be nearer in fee to the populace imply μ and general deviation σ.

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there are two formulas that can be used to find the volume of a rectangle prism. Find the volume using both formulas

Answers

Step-by-step explanation:

Formula 1: V = lwh

V = 10 x 8 x 6

V = 480

Formula 2: V = 2lw + 2lh + 2wh

V = 2(10 x 8) + 2(10 x 6) + 2(8 x 6)

V = 480

Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Please helppp

Answers

Lines a, b, and c are parallel, and d and e are also parallel to each other.

What are parallel lines?

No matter how far they may reach in either direction, parallel lines are ones that are equidistant from one another and never cross. Parallel lines are any two or more lines that all lie in the same plane and never cross one another. They are equally spaced apart and have the same incline. In this essay, let's study more about parallel lines.

Given the 5 lines and the angles made by them,

if ∠1 = ∠3 then a║b Because they intersect on the same line.

if ∠4 = ∠6 then c║b Because they intersect on the same line.

if ∠1 = ∠7, ∠2 = ∠8,  ∠23 = ∠5, ∠11 = ∠17, ∠2 = ∠8, ∠24 = ∠18, ∠6 = ∠12, and some more than d║e Because they intersect on the same line.

Therefore from the above figure, if two lines intersect another line with the same angle then they are parallel lines.

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Evaluate 150 - (2 + x) to the power of 3 when x = 2.

Answers

Answer:

3,112,136

Step-by-step explanation:

x=2

replace x with 2

2+2=4

150-4= 146

146 to the third power is 146 x 146 x 146

146 x 146 x 146 = 3112136

hope this helps, tell me if i'm wrong

The product of two consecutive numbers is 3306. What are the numbers?​

Answers

the two consecutive numbers are 58 and 57.

What is the slope of this line? ​

Answers

Answer:

m = 2/5

:)))))))))))))))))))))))))))

Add the equations.

3x - y = -5
7x + y=15

A. -4x = 10
B. -4x = -20
C. 10x = 10
D. 10x-2y = -20

Answers

Answer:

its c

Step-by-step explanation:

Find value of K for which
Y=2x+K is tangent to
y=x²-4x+4

Answers

To find the value of K, we need to find the point at which the line Y=2x+K is tangent to the parabola Y=x^2-4x+4. This means that the line and the parabola will have the same y-value at this point, and the line will be tangent to the parabola (meaning it will just touch the parabola at this point, without intersecting it).

To find the point at which the line and parabola are tangent, we can set Y=2x+K equal to Y=x^2-4x+4 and solve for x:

2x + K = x^2 - 4x + 4

x^2 - 4x + 4 - 2x - K = 0

(x-2)^2 = K

x = 2 +/- sqrt(K)

Since the line is tangent to the parabola, it will just touch the parabola at this point, which means that the parabola will have a minimum value at this point. This means that the value of K must be nonnegative, because the square root of a negative number is not a real number. Therefore, K must be equal to or greater than 0.

So, the value of K for which Y=2x+K is tangent to Y=x^2-4x+4 is K >= 0.

6,526,572,333 lottery tickets were sold last year. This year 3,223,526,869 lottery tickets were sold. About how many more tickets were sold last year than this year?

Answers

Answer:

2,570,869,636 more tickets

Step-by-step explanation:

In order to walk to school from your house, you walk 0. 8 mi north and 0. 5 miles east. What is the direct distance from your house to school

Answers

The direct distance from your house to school as calculated from the given data is 0.9434 miles.

Let

the distance walked North = A = 0.8 miles

the distance walked East= B = 0.5 miles

the direct distance between house and school be C

On using pythagoras theorem,

C² = A² + B²

   = 0.8 ²+ 0.5 ²

   = 0.89

C =0.9434 miles

A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem.

According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. This theorem can be expressed as the Pythagorean equation, which is an equation relating the lengths of the sides a, b, and the hypotenuse c , C² = A² + B².

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An angle meaure 48° le than the meaure of it upplementary angle. What i the meaure of each angle?

Answers

Answer:

132

Step-by-step explanation: Supplementary=180 So all you have to do is subtract 48 from 180 and should give you 132.

Hope that helps!

Let the angle be h
h-48+h=180 ( supplementary angles add upto 180)
h+h-48=180
2h-48=180
h=114

So one angle is 114 and the other is 66

(Get 30 points for answer, please answer truthfully)

Carter and his children went into a movie theater and he bought $33 worth of drinks and candies. Each drink costs $4.50 and each candy costs $3. He bought 3 times as many drinks as candies. Determine the number of drinks and the number of candies that Carter bought.

Answers

Answer:

6 drinks

2 boxes of candy

==================================================

Explanation:

x = number of drinks

y = number of boxes of candy

These two variables represent positive integers.

"He bought 3 times as many drinks as candies" which means we can set up the equation x = 3y

-------------

1 drink costs $4.50

x drinks cost 4.50x dollars

1 box of candy costs $3

y boxes of candy cost 3y dollars.

4.50x + 3y = total cost = 33 dollars

Therefore, we arrive at the second equation of 4.50x+3y = 33

-------------

We have this system of equations

[tex]\begin{cases}x = 3y\\4.50x+3y = 33\end{cases}[/tex]

I'll use substitution to solve. Replace x with 3y in the second equation, then isolate y.

[tex]4.50x+3y = 33\\\\4.50(3y)+3y = 33\\\\13.50y+3y = 33\\\\16.50y = 33\\\\y = 33/16.50\\\\y = 2\\\\[/tex]

This tells us he bought 2 boxes of candy.

Use that value to find x.

[tex]x = 3y\\\\x = 3*2\\\\x = 6\\\\[/tex]

Carter also bought 6 drinks.

-------------------------------

Check:

6 drinks = 6*4.50 = 27 dollars2 boxes of candy = 2*3 = 6 dollarsTotal cost = 27+6 = 33 dollars

The answers are confirmed.

Another way to confirm the answers is to plug (x,y) = (6,2) into each equation of the system I mentioned earlier. After simplifying, you should get the same thing on both sides.

A visual way to confirm the answers is to graph each equation on the same xy grid. The two lines intersect at (6,2). You can use a graphing tool such as Desmos or GeoGebra.

There are four people in Haydens family. Each person always eats 3/4 of a cheese pizza. How many whole pizzas should they order?

Answers

In linear equation,3 whole pizzas should they order .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

total people = 4

Each person always eats 3/4 of a cheese pizza.

   3/4 + 3/4 + 3/4 + 3/4  

= 3 + 3 + 3 + 3 /4

= 12/4

= 3

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A salesman priced a car at 3,500 the first day the second day he reduced the price by 10% what was the new price

Answers

Answer: 3150 is the answer

Step-by-step explanation:

A year hence a father will be 5 times as old as his son. Two years ago, he was three times as old as his his son will be four years hence. Find their present age.​

Answers

x = son’s age

y = father’s age

5(x + 1) = y + 1

3(x + 4) = y - 2

First equation simplified:

5x + 5 = y + 1

y = 5x + 4

Plug into second equation:

3x + 12 = 5x + 4 - 2

-2x = -10

x = 5 (age of son)

y = 5(5) + 4 = 29 (age of father)

The volume of water in a tank is modeled by the function y = 1.15x3 – 0.1x2 + 2 where x is the number of minutes after the faucet filling the tank is turned on. . How long will it take for the tank to fill to 247 feet.

Answers

Answer:

2

Step-by-step explanation:

: in this context, the y-intercept represents the volume of water already in the tank

(1 point) how many different ways can a race with 6 runners be completed? (assume there is no tie.) your answer is : 36

Answers

There are 720 different ways can a race with 6 runners be completed.

What is a combination?

The process of combining or the condition of combining. a combination of things; an amalgamation of concepts. a grouping of notes: A chord is a grouping of notes. a grouping of people or entities acting together to impede commerce.

Here, we have

The winner can be chosen from all 6 runners, the second person can be chosen from 5 people, the third - from 4, and so on.

So the total number of possible results can be calculated as:

n = 6×5×4×3×2×1= 6!

= 720

Hence, there are 720 different ways can a race with 6 runners be completed.

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In an arithmetic sequence, each term after the first is found by multiplying the previous term by a constant.
True false question.
True
False

Answers

Answer: False

Step-by-step explanation:

The statement you are giving is for the Geometric Sequence, not the arithmetic sequence. So this is false!

Look at picture !!!!
Slope=
Y-intercept=
Equation=

Answers

Answer:

y = -5x -2

Step-by-step explanation:

Equation y=mx+b

Slope m=(y2-y1)/(x2-x1)

Slope m=(-7- -2)/(1 - 0)

Slope m=(-7 + 2)/(1 - 0)

Slope m=(-5)/(1)

Slope m= -5

Point-slope form = y − y 1 = m ( x − x 1 )

Point-slope form = y − -2 = -5 ( x − 0 )

Point-slope form = y + 2 = -5x − 0

Point-slope form = y = -5x -2

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Cynthia is a real estate agent. In one of her properties, a large square
room has an area of 405 square feet. To find the length of one side of
the room, Cynthia writes V405 feet. Simplify this expression, using the
first rule of radicals.

Answers

The expression after simplifying with the first rule of radicals is 9√5.

What is a square?

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is side²

We have,

Area of a square = side² _______(1)

Area = 405 square feet _______(2)

From (1) and (2) we get,

405 square feet = Side²

Side = √405 feet

[ 405 = 81 x 5 ]

Side = √(81 x 5)

[ 9² = 81 ]

Side = 9√5

Thus,

The side length is 9√5 feet.

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What were some positive effects of increased trade in China for Britain?"List some of them" which age group has more variable finish times following world war ii, the united states faced a foreign policy decision. what best describes the policy the u.s. pursued? company has a debt-equity ratio of if the company were financed entirely with equity, how much would it be worth help me please, please write what i put on the sides too and what i put in the bottom right please and thank youuuuu selective optimization with ______ theory states that older adults can produce new resources and allocate them effectively to the tasks they want to master. T/F According to Ernest Bormann and colleagues, group leaders are chosen immediately through a process of rapid ascension to power. (3+2)to the power of 2 + 4x8*Pls help asap Which of the following concepts were considered in Gradjelick v. Hance, the case in the text in which the plaintiff alleged that the landlord exacerbated a fire caused by another tenant smoking, by failing to maintain the premises?O The court articulated the test for per se code violations.O The court considered how a rent escalation clause would impact the landlord-tenant relationship.O The court ruled that by failing to act to protect the plaintiff, the landlord was liable to the plaintiff for breach of the covenant of quiet enjoyment.O The court ruled that only because the lease itself placed a duty of quiet enjoyment on the landlord, the landlord had a duty to control the actions of the upstairs tenant.O The court contemplated the issue related to a landlord's lien in the context of the case. Choose two different visual media items that express opinions about trade agreements, barriers to trade or free trade. The resource list provides some examples of visual media and guidance on where to locate them on the Internet. Be sure to include the media item, or directions on how to access it, with your assessment. Make a note of the key events and ideas evident in the item, the creator and date of origin, and be sure to read any captions or quotes that are included.Analyze the message delivered by each of your visual media items. For each item, respond to the following questions in complete sentences. Cite evidence from the resource and the lesson to justify your responses. What is the issue discussed in the visual media item you chose? What is the creators viewpoint on the issue? What details in the resource support the authors claim? Provide evidence from the item to support your response. Does this viewpoint reflect a commitment to free trade or to protectionism? Explain your answer and include evidence from the item to support your response. Do you agree or disagree with the viewpoint of the item you chose? Why or why not?Respond to the following reflection questions based on your understanding of free trade and protectionism. What are two benefits and two costs of free trade? What is protectionism and why would a country base trade policy on it? Explain at least two reasons. What is the classification of each system? Drag the answers into the boxes to match each system. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. {4x+y=8 x+3y=8 consistent independent Estimates suggest that approximately _____% of people in the United States suffer from a mental disorder at some point in their lifetime. Consider the following methods, which appear in the same class.public int function1(int i, int j){return i + j;}public int function2(int i, int j){return j - i;}Which of the following statements, if located in a method in the same class, will initialize the variable x to 11?A int x = function2(4, 5) + function1(1, 3);B int x = function1(4, 5) + function2(1, 3);C int x = function1(4, 5) + function2(3, 1);D int x = function1(3, 1) + function2(4, 5);E int x = function2(3, 1) + function1(4, 5); Which laboratory activity involves a chemical change?leaving a copper penny in vinegar until it turns greenboiling saltwater for several minutes until only solid salt remainsextracting iron filings from a sand mixture using a magnetcrushing a rock with a hammer to extract mineral deposits Does anyone know the answer? Fig the function shown in the table below, which of the following is its average fate of change ever the interval 2x101.3/42.-23.-1/24.-3./22. What is the average rate of change of g(x)=x on the interval 3x9(1) 8(3) 15(2) 12(4) 183. Given the function f(x) shown graphed below, what is its average rate of change from } x=1 to x=7 ? (1) -1(2) -4/3(3) 8(4) 3/54. A function h(x) has an average rate of change equal to 7 on the interval 5 x 9. If h(5)=12, then which of the following must be the value of h(9) ? herb kelleher, former president and ceo of southwest airlines, was known for seeing the good in people and believing in favorable results. which of the following characteristics best describes this trait of kelleher? Choose the correct punctuation: (ELA.9.C.3.1)Group of answer choicesHarrison had to wear a red rubber ball for a nose, and keep his eyebrows shaved off, and cover his even white teeth with black caps at snaggle-tooth random, he essentially looked like a walking clown.Harrison had to wear a red rubber ball for a nose; keep his eyebrows shaved off; and cover his even white teeth with black caps at snaggle-tooth random; he essentially looked like a walking clown.Harrison had to wear a red rubber ball for a nose, keep his eyebrows shaved off, and cover his even white teeth with black caps at snaggle-tooth random; he essentially looked like a walking clown.Harrison had to wear a red rubber ball for a nose, keep his eyebrows shaved off; and cover his even white teeth with black caps at snaggle-tooth random. he essentially looked like a walking clown. Tyshawn took a taxi from his house to the airport. The taxi company charged a pick-up fee of $2.50 plus $3.50 per mile. The total fare was $79.50, not including the tip. Which equation could be used to determine mm, the number of miles in the taxi ride? Most of the energy released in citric acid cycle reactions is conserved in ________.