1. a room has dimensions 15m by 9m by 12m the dimensions of its
scale model is 5m by
3m by 4m what is the ratio of the dimensions of the actual room to that of the scale
model

2. the ratio of the dimensions of the scale model to that of the
actual object s 1:16 the length and width of the actual object are
2.4m and 1.8m respectively

Answers

Answer 1

Answer: To find the ratio of the dimensions of the actual room to that of the scale model, we can divide the dimensions of the actual room by the dimensions of the scale model.

The dimensions of the actual room are 15m by 9m by 12m, and the dimensions of the scale model are 5m by 3m by 4m.

Therefore, the ratio of the dimensions of the actual room to that of the scale model is:

length: 15m / 5m = 3 : 1

width: 9m / 3m = 3 : 1

height: 12m / 4m = 3 : 1

So, the ratio of the dimensions of the actual room to that of the scale model is 3:1 for all dimensions (length, width, and height)

The ratio of the dimensions of the scale model to that of the actual object is 1:16

so to find the length and width of the actual object, you can use this relation

length = scale model length * 16 = 2.416 = 38.4m

width = scale model width * 16 = 1.816 = 28.8m

So the length and width of the actual object are 38.4m and 28.8m respectively.

Step-by-step explanation:


Related Questions

A quadrilateral
is a polygon with four sides. Consider
the quadrilateral and the dashed segment. What is the sum
of the measures of the four interior angles of this quadrilateral?
Draw a different quadrilateral. Can you guess the sum
of the measures of its angles? Is it possible to generalize about
the angles of a quadrilateral?

Answers

Whatever the case a quadrilateral has always a sum of interior angles = 360°.

What is quadrilateral?

A quadrilateral is a closed shape in geometry that is created by connecting four points, any three of which cannot be collinear. A quadrilateral has four sides, four angles, and four vertices. The word "quadrilateral" is derived from the Latin words "quadra" (four) and "latus" (sides). A quadrilateral may or may not have equal lengths on each of its four sides.

A quadrilateral is a polygon with four sides, four angles, and four vertices. The arrangement of the vertices must be considered whenever a quadrilateral is named. For instance, the following quadrilateral should be referred to as ABCD, BCDA, ADCB, or DCBA. Since they alter the order of vertices in which a quadrilateral is formed, it cannot be called ACBD or DBAC.

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A third-grade student is asked to find the best estimated answer for the problem below by rounding to the nearest ten. 162 287 395 The student gets an answer of 840. Which of the following best describes the student's error

Answers

The error is that the student rounded off the outcome after combining the numbers.

What is rounding off?

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number.

For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.

So, we have:

162 + 287 + 395 = 840

The error:

After adding the numbers, the student rounded the result.

If the learner had added the numbers first and then rounded the result, they would have received the correct answer of 850 instead of 840.

When estimating totals, students should be taught to round numbers first before adding them.


Therefore, the error is that the student rounded the outcome after combining the numbers.

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Correct question:
A third-grade student is asked to find the best-estimated answer for the problem below by rounding to the nearest ten.

162 + 287 + 395

The student gets an answer of 840. Which of the following best describes the student's error?

Find the equation of the line passing through the given point and parallel to the given line.​

Answers

Answer:

[tex]y-2=-\frac{1}{2}(x-3)[/tex]

Step-by-step explanation:

[tex]x+2y=5 \\ \\ 2y=-x+5 \\ \\ y=-\frac{1}{2}x+\frac{5}{2}[/tex]

The slope of the given line is [tex]-\frac{1}{2}[/tex].

This means the slope of any line parallel to the given line is also [tex]-\frac{1}{2}[/tex].

Using point-slope form, the equation is [tex]y-2=-\frac{1}{2}(x-3)[/tex].

in a school, students either study french, german or spanish. They study one language each. 11 percent of students study french 27percent students study spanish. what fraction of the students study German

Answers

Answer:

62%

Step-by-step explanation:

First, you got the formulate: 1-27%-11%

Second, calculate the difference: 0.73-0.11

Third, the sum is 0.62

Then you multiply 0.62 ×100\100

Write a single fraction: 0.62×100\100

Calculate the product or quotient: 62\100

100% to a percentage: 62%

That is your answer 62%

HELP THIS IS MY LAST PROBLEM

A store bought a set of speakers for $82.86
and sold it for $195.82. What was the markup percentage? Round your answer to the nearest tenth.

Answers

Answer:

142%

Step-by-step explanation:

How I got this solution is made it as a ratio, "82.86:195.82".

I then simplified the balance by dividing 82.86 into both sides.

It then equaled around 0.42 (or 42%). Including itself, it got a markup percentage of 142%

What is the correct equation for a slope of 2 and a y-intercept of -7

Answers

Answer:

y=2x-7

Step-by-step explanation:

y=mx+b  ==> m is the slope and b is the y-intercept

y=(2)x + (-7)  ==> plugin 2 for m=slope and -7 for b = y-intercept

y=2x-7 ==> simplify

Find the 35th term for the sequence: 12, 9.5, 7, 4.5...

Answers

Answer:

-73

Step-by-step explanation:

So to begin you must find where you start on a graph. To do this you can go backwards from your first number and in this situation it would be 14.5 because the slope is -2.5x. I will use y as the answer.

y=-2.5x+14.5

From here you plug in how many terms are neeeded for the correct answer. In this situation there is 35 terms needed.

y=-2.5(35)+14.5

Solve this equation to get your answer.

y=-73

Answer:

The 35th term is - 73.

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

Given sequence:

12, 9.5, 7, 4.5...

This is an AP with the common difference of:

d = 4.5 - 7 = 7 - 9.5 = 9.5 - 12 = - 2.5

The first term is a = 12.

Use the nth term equation to find the 35th term:

aₙ = a + (n - 1)da₃₅ = 12 + (35 - 1)(- 2.5) = 12 - 34*2.5 = 12 - 85 = - 73

Given this unit circle, what is
the value of x?
(x,-√2)
X =
(1,0)
[?]
Enter

Answers

Answer:

x = - √2/2

Step-by-step explanation:

We know that x = rcosθ and y = rsinθ. The unit circle always have radius of 1 unit. Therefore, r = 1 as defined. Hence:

x = cosθ, y = sinθ

x = cosθ, θ = arcsin(y)

x = cos{arcsin(-√2/2)}

Find the measurement or θ that makes sinθ = -√2/2 and that is π + π/4 = 5π/4.

x = cos(5π/4)

And cos(5π/4) = - √2/2 as well. Hence, x = - √2/2.

Where is the x-intercept in a quadratic formula?

Answers

The x-intercept in a quadratic formula is where the graph of the function crosses the x-axis.

An x-intercept is a point on the graph of a function where the y-coordinate is equal to zero. In other words, it's a point on the graph where the function intersects the x-axis. The x-intercepts of a quadratic formula can be found by setting the y-value equal to zero and solving for x.

The quadratic formula is typically in the form of ax^2 + bx + c =0, thus by setting y=0 we get x = -b/2a and x = -b/2a, these are the x-intercepts where the graph of the function will cross the x-axis. The x-intercepts are also known as the roots or zeroes of the function, and are important for understanding the overall shape of the graph.

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Ellen has a bag with 333 red marbles and 222 blue marbles in it. She is going to randomly draw a marble from the bag 300300300 times, putting the marble back in the bag after each draw. 3 red marbles and 2 blue marbles What is the best prediction for the number of times that Ellen will draw a blue marble? Choose 1 answer:

Answers

The probability best prediction for the number of times that Ellen will draw a blue marble is 200.

Number of blue marbles: 222

Number of red marbles: 333

Total number of marbles: 555

Probability of drawing a blue marble:

222/555

= 0.4

Number of times drawing a blue marble:

300300300 x 0.4

= 120,120,120

Rounded to nearest whole number:

120,120

Ellen has a bag with 333 red marbles and 222 blue marbles in it. She is going to randomly draw a marble from the bag 300300300 times, putting the marble back in the bag after each draw. The best prediction for the number of times that Ellen will draw a blue marble is 200. This prediction is based on the fact that there are more red marbles than blue marbles in the bag. To calculate this, we first need to determine the probability of drawing a blue marble; there are 222 blue marbles out of 555 total marbles, so the probability is

222/555

= 0.4.

Multiplying this by the total number of draws (300300300) gives us 120,120,120. Rounding this to the nearest whole number gives us our prediction of 200 times.

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How do you find the ordered pair?

Answers

On a Cartesian (or "coordinate") plane in which  each point is represented by an ordered pair (x , y) belongs to  x coordinate  , y coordinate .

An ordered pair is a set of numbers in which it gives the location of a point on a coordinate plane.

The ordered pair is always expressed exactly the same way (x , y).

The first number  in an ordered pair represents the x coordinate on the plane while the second number in an ordered pair  represents the y coordinate.

The x-coordinate shoes that  how far away the point is horizontally from the x-axis.

The y-coordinate shows that  how far away the point is vertically from the x-axis.

Quadrant I: the upper-right quadrant of the plane in which all points in this quadrant have  the  positive x coordinates and positive y coordinates as { (+,+)}  ,  {(+,+)}

Quadrant II: the upper-left quadrant of the plane in which all points in this quadrant have negative x coordinates and positive y coordinates

{ (+,-)}{ (+,-)}

Quadrant III: the lower-left quadrant of the plane in which  all points in this quadrant have negative x coordinates and negative y coordinates

{ (-,-)}{(-,-)}

Quadrant IV: the lower-right quadrant of the plane in which  all points in this quadrant have positive x coordinates and negative y coordinates

{(+,-)}{ (+,-)}

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How do you make an XY graph in Excel?

Answers

Select the data for which you want to create a chart slope . Click INSERT > Recommended Charts. On the Recommended Charts tab, scroll through the list of charts that Excel recommends for your data

When you find the chart you like, click it > OK.

The formula for a horizontal line at y=4 is as follows: There is no slope. 4.0 is the y-intercept.

What are the Slope and intercepts ?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

The slope expresses how quickly the dependent variable changes when the independent variable changes. The Greek capital letter D or D is frequently used by mathematicians and economics to represent change. Slope contrasts the change in the vertical axis, y, with the change in the horizontal axis, x.

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The roof on a house is 6 metres wide peaks at at a height of 3 metres above the top of the walls. Find the length of the sloping side of the roof.​

Answers

45 metres because you do 3 squared (9) + 6 squared (36) = 45

Make
x
the subject of the formula
a = bx + c

Answers

Answer: x = a/b - c

Step-by-step explanation:

First divide by b on each side to get the x by itself.

Then subtract c from both sides to make x the subject of the formula.

Step-by-step explanation:

a = bx + c

the goal is to get to a form with "x = ...".

a - c = bx

(a - c)/b = x

done.

ACTIVITY 6: Modeling Real Life

A company is loading recliners and sofas onto a trailer that has a volume of about 3800 cubic feet. Each recliner takes up about 40 cubic feet and each sofa takes up about 80 cubic feet. The company wants the shipment to have at least 30 recliners and more than 25 sofas. Write and graph a system that represents the situation. Give one example of the numbers of recliners and sofas the company can have in the shipment.

Answers

The equation is 80x + 1200 = 3800. And the numbers of at least 30 recliners and 32 sofas the company can have in the shipment.

What is linear equation?

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

A company is loading recliners and sofas onto a trailer that has a volume of about, 3800 cubic feet.

Each recliner takes up about 40 cubic feet and each sofa takes up about 80 cubic feet.

The company wants the shipment to have at least 30 recliners and more than 25 sofas.

The equation that represents the situation is,

80x + 40y = 3800,

where x is the volume of a sofa and y is the volume of a recliner.

If y = 30 then,

80x + 1200 = 3800

80x = 2600

x = 2600/80

x = 32.5

x ≈ 32

Therefore, 30 recliners and 32 sofas.

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in atwo digits Number The sum of the digits is 13 twice the term digits excceds
the units digits by one find the number

Answers

The two-digit number is 34.

What are integers?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The boldface Z is a common way to represent the set of integers in mathematical terms.

What are whole numbers?

If p and q are integers and q is not equal to 0, then the number is in the form of p/q and is said to be rational. Among the rational number examples are 1/3, 2/4, 1/5, 9/3, and so on.

The given information can be translated into the following equation:

(10x + y) + (2x - y - 1) = 13

Where x is the tens digit and y is the units digit.

Solving for x and y, we get:

x = 3 and y = 4

So the number is 34.

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Could you help me solve this

Answers

Answer: The middle number is 15

Step-by-step explanation:

45/3= 15 so the three numbers will be around there.

14+15+16= 45

A farmer plants corn and wheat on a 180-acre farm

Answers

The farmer needs to sow 135 acres of corn and wheat, and 45 acres of wheat.

What is linear equation ?

A linear equation is the algebraic expression y=mx+b. B is the y-intercept, and m is the slope. A "linear equation in two variables" is the term used to describe the previous sentence, where y and x are variables. Two variables make up bivariate linear equations. Examples include the linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is said to be linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

given

180 acres total land area

The corn acres should be C.

The wheat acres should be W.

A 180-acre property is planted with wheat and corn by a farmer.

Equation 1: C + W = 180

Corn is grown on three times as many acres as wheat:

Equation 2 is created by substituting C = 3W into Equation 1. The result is:

45 acres is W.

For corn, 135 acres equals C.

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5.
4.2 cm
4.2 cm
square centimeters

Answers

The total area of triangle in square centimeters is 56.7cm squared .The three angles of the triangle add up to 180 degrees.

what is triangle ?

The term "trigon" is occasionally (though not frequently) used to refer to a triangle, a 3-sided polygon. Every triangle consists of a set of three angles and three sides, some of which may be the same.  The three angles of the triangle add up to 180 degrees. With three sides and three vertices, triangles are a specific type of polygon in geometry. The two-dimensional figure displayed here has three straight sides. A triangle is a type of 3-sided polygon.

here

Area of each triangles is 4.2 x 8.2 or 34.44.

There are two triangles, thus you don't need to divide by two.

In addition, 8.2 is obtained by deducting the top length from the overall length. (13.5-5.3)

rectangle: 22.26 x 5.3

56.7 square meters is the entire area.

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The correct question is

What is the area, in square centimeters, of the triangles are?

a) 5.3 cm

b) 4.2 cm

c) 13.5 cm

A cone whose apex lies along its center axis and whose axis is perpendicular to its base is called a __________ cone.

Answers

A right cone is a cone whose apex is located along its center axis and whose axis is perpendicular to its base.

What is meant by right cone?When the line connecting the vertex to the circular base's midpoint forms the cone's axis, the cone is said to be right circular. In other words, the apex of the cone and the centre point of the circular base meet and form a right angle. Having a circular base and an apex or vertex, a cone is a three-dimensional solid. The cone whose axis line is parallel to the base is referred to as the right circular cone. In mathematics, a cone is a recognizable three-dimensional geometric shape having a smooth and curving surface pointing upward. The word "cone" comes from the Greek word "konos," which denotes a peak or a wedge.

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What is quadrant 1 2 3 and 4?

Answers

The explanation of four quadrant are explained below.

In the coordinate plane the first coordinate or the x-coordinate will refer to the number which corresponds with the point's horizontal location as determined by the number on the x-axis.

And the second coordinate known as the y-coordinate, will refer to the number which corresponds with the point's vertical location as determined by the number on the y-axis.

By using these x and y values, we have divide the graph, into four part such as Quadrant I, Quadrant II, Quadrant III and Quadrant IV.

Here we want to know that each quadrant contains certain directions.

=> Quadrant 1 placed on 0 to 90 degrees.

=> Quadrant 2 placed on 90 to 180 degrees.

=> Quadrant 3 placed on 180 to 270 degrees.

=> Quadrant 4 placed on 270 to 360 degrees.

And the value in the quadrant are like as follows:

Quadrant I had both x and y-coordinate are positive.Quadrant II had x-coordinate is negative and y-coordinate is positive.Quadrant III had both x and y-coordinate are negative.Quadrant IV had x-coordinate is positive and y-coordinate is negative.

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Question 1(Multiple Choice Worth 4 points) (02.05 LC) A surgeon performed two types of surgeries to treat large kidney stones and small kidney stones. Treatment A on large stones was successful 73% of the time, but on small stones it was successful 93% of the time. Treatment B was successful on large stones 69% of the time, but on small stones it was successful 87% of the time. The overall report stated treatment B was more successful. What may make this claim possible? Sampling error Cause-and-effect relationship Convenience error Confounding Simpson's Paradox

Answers

The correct option is Simpson's Paradox because the concept of the other options don't depict the paradox displayed in the question.

Simpson's paradox

it is simply a phenomenon in probability and statistics, whereby a trend appears in several different groups of data but will disappear or reverse when these groups are combined.

This result is often encountered in many areas of statistics and is very problematic especially when frequency data is given causal interpretations. The paradox can be resolved when causal relations are appropriately addressed in the statistical modeling.

It concluded that treatment B was more successful than treatment A without considering the conditions under which both treatments were carried out neither did it consider the severity of cases of patients involved in the treatment.

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Zachary's art club ordered a giant sub sandwich for a party. It was 5 feet long! When the sandwich arrived, Zachary cut it into 16 equal pieces.
How long was each piece?

Answers

The length of each piece of the sandwich is 0.3125 feet.

What is a unitary method?

A unitary approach is a mathematical technique for finding the value of a single unit and then multiplying it by any number of other units to derive the value of the given units.

Given, Zachary's art club ordered a giant sub sandwich for a party.

Therefore, t6o obtain the length of each piece we have divide the total length of the sandwich by the total number of pieces which is,

= (5/16) feet.

= 0.3125.

So, The length of each piece is 0.3125 feet.

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slope of a line parallel to the line whose equation is x - 2y = -8​

Answers

Answer:

Step-by-step explanation:

slope is the coefficient of x when the coeficient of y is 1.

we need change the form.

2y=x+8

y=[tex]\frac{1}{2}[/tex]x+4

so, the slope of a line parallel to the line is 1/2

Which of the following will cause a logical error if you are attempting to compare x to 5?
Answers:
a. if (x >= 5)
b. if (x = 5)
c. if (x == 5)
d. if (x <= 5)

Answers

Logical Error: In computer programming language, a logic error is a bug or in a program or code that causes it to operate incorrectly, but not to terminate abnormally (or crash).

A logic error developed unintended or undesired output or other behavior, although it may not immediately be recognized as such.

For example, assigning a value to the wrong variable may cause a many of unexpected program errors.

These errors can be programmer mistakes or sometimes machine less memory to load the code.

if(x>=5) {

// program

}

else if(x==5) {

//program

}

else(x<=5) {

//program

}

they all do not give any error.

x=5 gave an error because it is value assigning to 5.

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F(x)=Sin2x ,x0=pi:3

f(x)=3x-x^2 ,x0=-1

Pleae help and if omeone ha dicord erver to help olve math problema pleae give me invite

Answers

The given equation 1 value of F(x) is 0.109 and in equation 2 F(x) is -4 respectively.

What in mathematics is trigonometric?

Trigonometry is one of the important branches in the history of mathematics that deals with the study of the relationship between the sides and angles of a right-angled triangle. This concept is given by the Greek mathematician Hipparchus.

Trigonometry is the study of angles and the angular relationships between planar and three-dimensional figures. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circular functions) that make up trigonometry.

if x⁰=π in eq1

then [tex]f(x)= sin\ 2 \pi[/tex]

[tex]f(x) = 0.109[/tex]

if x⁰= -1 in eq2

then [tex]f(x)=3(-1)-(-1)^2[/tex]

[tex]f(x) = -4[/tex]

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determine whether each table represents a linear or non-linear function explain

Answers

Each of the tables is classified as linear or non-linear on the image presented at the end of the answer.

How to classify the functions as linear or non-linear?

A function is classified as linear or non-linear depending on the rate of change of the function.

If the rate of change of the function is constant, that is, when x changes by one amount, y always changes by the same amount, then the function is classified as linear.

Conversely, if the rate of change of the function is different for different intervals, then the function is classified as non-linear.

For example, the top-left function is non linear, as when x changes by one from x = 1 to x = 2, y changes by 3, from y = 1 to y = 4, while when x changes by one from x = 2 to x = 3, y changes by 5.

The bottom-right function is linear, as for each increase of x by 5, the value of y decays by 4.

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Jack spends a total of $16.50 on one bag of popcorn and three drinks.
Jill spends a total of $29.75 for two bags of popcorn and five drinks.
Write a system of equations. Determine and state the price of a bag of popcorn and the price of a drink, to the nearest cent.

Answers

Answer:

Sure! Here's a system of equations we can set up to represent this situation:

Let x be the price of a bag of popcorn and y be the price of a drink.

Then we can set up the following system of equations:

x + 3y = 16.50 (equation for Jack's purchases)

2x + 5y = 29.75 (equation for Jill's purchases)

To solve this system of equations, we can use the substitution method.

First, we can solve for x in equation 1:

x = 16.50 - 3y

Then, we can substitute this expression for x into equation 2:

2(16.50 - 3y) + 5y = 29.75

Simplifying this equation, we get:

33 - 6y + 5y = 29.75

Combining like terms, we get:

33 - y = 29.75

Subtracting 29.75 from both sides, we get:

33 - 29.75 - y = -y

Simplifying, we get:

3.25 - y = 0

Subtracting 3.25 from both sides, we get:

-y = -3.25

Dividing both sides by -1, we get:

y = 3.25

So, the price of a drink is $3.25.

Now we can substitute this value for y back into equation 1 to solve for x:

x + 3(3.25) = 16.50

Simplifying, we get:

x + 9.75 = 16.50

Subtracting 9.75 from both sides, we get:

x = 6.75

So, the price of a bag of popcorn is $6.75.

To the nearest cent, the price of a bag of popcorn is $6.75 and the price of a drink is $3.25.

Step-by-step explanation:

-(4-7)
How do you do this?

I got -4+7
(Is that right)​

Answers

a double negative will result in a positive so
-(4-7)
= -4+7
=3
The mathematical expression you provided -4 + 7 is correct.
The result of the operation is 3.
You are adding 7 to -4, so you would start with -4 and count up 7 steps which gives you 3 as a result.
In mathematical notation, the plus sign (+) indicates addition and the minus sign (-) indicate subtraction. In this case you have -4+7 so it's -4 plus 7.

L) simplify

sin²x ( cot²x + 1 )

Answers

Answer: 1.

Step-by-step explanation:

[tex]\displaystyle\\sin^2x(cot^2x+1)=\\\\sin^2x(\frac{cos^2x}{sin^2x}+1)=\\\\\frac{sin^2xcos^2x}{sin^2x}+sin^2x=\\\\cos^2x+sin^2x=\\\\1.[/tex]

Other Questions
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