Se deja caer un cuerpo de 2 kg de masa, desde una altura de 60 metros. Despreciando los rozamientos con el aire.

The values of the variable are:

x is 45.

y is 18.

z is 18.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

From the figure,

Sin 45 = z / (18√2)

Sin 45 = 1 /√2

So,

1/√2 =z / 18√2

z = 18

Cos 45 = y / (18√2)

1/√2 = y/18√2

y = 18

Tan x = y / z

Tan x = 18/18

Tan x = 1

x = \(tan^{-1}\)1
x = \(tan^{-1}\) tan 45

x = 45

Thus,

x is 45.

y is 18.

z is 18.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ1

1967.64 is the value of the given expression.

We must carry out the division operation in the following manner in order to assess the expression:

26,091 ÷ 13.26

= 1967.64

As a result, the expression has a value of 1967.64.

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ1

Answer:

72+ 48i

Step-by-step explanation:

Answer:

B. -9

Step-by-step explanation:

3(-9)-6/3=-11

7(-9)-3/6=-11

1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.

2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.

3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.

4. A graph of the function with intercepts is shown below.

5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;

2x + 3y = 1,470

By subtracting 2x from both sides of the equation and dividing by 3, we have:

2x + 3y - 2x = 1,470 - 2x

y = -2/3(x) + 490

Therefore, the slope is -2/3 and the y-intercept is 490.

Part 2.

In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.

Part 3.

Next, we would write the equation in function notation as follows;

f(x) = -2/3(x) + 490

where:

The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.

Part 4.

In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.

Part 5.

Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:

2x + 3y = 1593; y = -2/3(x) + 531.

2x + 3y = 1,470; y = -2/3(x) + 490.

In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

Read more on slope-intercept here: brainly.com/question/7889446

#SPJ1

Complete Question:

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

Answer:

24.33 inches

Step-by-step explanation:

inches of fabric on headbands = 648.62 inches

39 players and 2 couches = 41 people

Inches of fabrics per person = Total headbands inches / number of people

= 648.62 inches / 41

= 15.82 inches per person

Inches of fabrics used for headbands per person = 15.82 inches

inches of fabric on wristbands = 331.89 inches

Used for players alone

Inches of fabrics for wristband pee person = Total inches of fabrics for wristband / number of people

= 331.89 inches / 39 players

= 8.51 inches

Inches of fabrics used for wristband per person = 15.82 inches

How much fabric was used on a headband and wristband for each player?

= Inches of fabrics used for headbands per person + Inches of fabrics used for wristband per person

= 15.82 inches + 8.51 inches

= 24.33 inches

Inches of fabrics used on headband and wristband for each player is 24.33 inches

Answer:

decreases

Step-by-step explanation:

Answer:

I have no clue to be honest. im just answering for points so I can ask some of my questions

The y as a function of x if y⁴ – 8y"' + 16y" = 0, y(0) = 14, y’(0) = 17, y"'(0) = 16, y(x)= 11+9x+e\(e^{4x}\) (3-4x).

This connection is often represented as y = f(x)—also known as "f of x"—and y and x are coupled in such a way that for each x, there is a unique value of y. That is, given the same x, f(x) cannot have more than one value. A function, in set theory terms, connects an element x to an element f(x) in another set. The domain of the function is the set of x values, and the range of the function is the set of f(x) values created by the domain of values. In addition to f(x), additional shortened symbols such as g(x) and P(x) are frequently used to denote functions of the independent variable x, particularly when the nature of the function is unknown.

y⁴-8y"'+16y" = 0

y(0) = 14, y'(0)= 17;y"(0) = 16; y'"(0) = 0

use the characteristics equation m⁴ - 8m³ + 16 m² = 0 and solve for m

m² (m² - 8m+16) = 0

m² = 0 and (m-4)² = 0 so here we have two repeated roots 0 and 4

y(x) = c₁\(e^{0x}\) + c₂x\(e^{0x}\)  + c₃e⁴ˣ + c₄xe⁴ˣ

y(x) = c₁ + c₂x +e⁴ˣ (c₃ + c₄x)

y'(x) = c₂+4ex (c3+ cqx)+ ₁e+x

y"(x) = 16e (c3+4x) + 8c4e**

y""(x) = 64e (C3+ (4x)+48c4e

y(0) = c + 3 = 14

y'(0) = c₂+ 463 + 4 = 17

"(0) = 16c38c4=16

y""(0) = 64c₃+48c₄ = 0

Now by solving the system of equations, we obtain

c₁=11, c₂=9,c₃ = 3 and c₄ = -4

y(x)= 11+9x+e\(e^{4x}\) (3-4x).

Learn more about Function:

https://brainly.com/question/28793267

#SPJ4

The population is the total number of people who go to the movie theater, and the sample is the first 150 people at the theater is correct.

In this situation, the population refers to the entire group of individuals that are of interest to the survey. In this case, the population is the total number of people who go to the movie theater. The sample, on the other hand, refers to a subset of the population that is actually observed and surveyed. In this case, the sample is the first 150 people who entered the theater and were asked about their favorite type of movie.

It is important to note that the sample should be representative of the population in order to draw valid conclusions from the survey. This means that the individuals in the sample should be selected in a way that reflects the characteristics of the population as a whole.

In summary, the population in this situation is the total number of people who go to the movie theater, and the sample is the first 150 people at the theater who were asked about their favorite type of movie.

for such more question on population

https://brainly.com/question/13769205

#SPJ11

Answer:

true

Step-by-step explanation:

I 100% looked it up

Answer:

v = 200 m/s

Step-by-step explanation:

The formula for the speed of a tsunami in deep water is given by :

\(v=\sqrt{gh}\)

Here,

g is acceleration due to gravity

h is the depth of the ocean in meters.

We need to find the speed at which the tsunami that started with an earthquake in Sumatra struck Sri Lanka about 1550 km away. The Bay of Bengal is 4 km (4000 m) deep.

It means we need to find v if h = 4000 m

So,

\(v=\sqrt{10\times 4000}\\\\v=200\ m/s\)

So, the speed of the tsunami is 200 m/s.

Given that\(csc(x) = -7\)It is known that \(cscθ=1/sinθ\)Therefore, sinθ=-1/7Let's use the half angle identity for cosine \(cos(θ/2)=± √(1+cosθ)/2\)Let's find the value of cosθTo find the value of cosθ.

We need to find the value of tanθ as follows.\(tanθ=sinθ/cosθ=(-1/7)/cosθ= -1/(7cosθ)\)

We know that \(tan^2θ=sec^2θ-1=(1/cos^2θ)-1=1/(cos^2θ)-1\)

On substituting tan^2θ value, we get\(1/(cos^2θ)-1=(-1/7)^2\)

Therefore,\((1/cos^2θ) = (1/49)+1On\) solving, we get \(cos^2θ= 49/50\)

Therefore\(, cosθ=± √(49/50)\)

Let's find the value of \(cos(θ/2)cos(θ/2)= ± √(1+cosθ)/2\)

We have two values of cosθ.

Let's take the positive value\(cos(θ/2)= √(1+√(49/50))/2cos(θ/2)= √(99+7√2)/20\)

Now let's substitute θ= 37πNow, \(cos(37π/2)= cos(37π/4)/2 = √(99+7√2)/20 = 0.9651 (approx)\)

Similarly, let's find the value of \(cos(2π)cos(2π)= cos(π) as 2π= π+π = π/2 + π/2\)

We know that cos(π/2)=0 and \(sin(π/2)=1\)

Therefore, \(cos(π/2)= ±√(1-sin^2(π/2)) = 0\)

Therefore, \(cos(2π)=cos(π)=0\) (exact answer)

Hence, the values of \(cos(37π/2)\) and cos(2π) are 0.9651 (approx) and 0 (exact) respectively.

To know more about angle visit:

https://brainly.com/question/28451077

#SPJ11

Given:

There are given the value of radius and the value of the angle in radian.

Explanation:

To find the arc length, we need to use the formula of arc length.

So,

From the formula:

Where,

So,

Put all the values into the above formula:

Then,

Then,

Final answer:

Hence, the value of arc length is shown below:

Answer:

approx. 23.4076433 pounds; ~23.41 pounds

Step-by-step explanation:

to find this out we must first find the ratio

314:70 is the ratio

this can be simplified to

157:35

this number is basically saying that an object on boondin weighs approximately 4.48571429 more than on Earth

so we could divide 105 by 4.48571429

105 / 4.48571429 is 23.4076433

so on earth it would weigh about 23.4076433 pounds

rounded to the nearest hundredth is 23.41 pounds

Answer: x= 25

Step-by-step explanation:

28+47+ y(some number)= 180

solve for y to get 75 and since 75=3x x=25

Answer:

x=45

Step-by-step explanation:

a line = 180

47 + 28 = 75

180-75= 105

105+ 3x =180

now solve for x

3x + 105  =180  

3                 3

x + 105 = 60

x= 45

We have in a) that

So the answer for a) is 2.8

Now in b) we have that

So the answer for b) is 25%.

Answer:

From scatter plot companies can predict future sales, and what will happen next. To help with this predictions most companies draw a line through the scattered plot called best-fit line. This line should be close to most of the points on the scattered line. Approximately half the point on the top of the line and half on the bottom.In this case the company will ignore the points tat far away from the line.

Scatter plots are useful to compare two variables to see how they relate to one another (if there is any relationship at all). One example could be comparing the temperature outside versus the sales of ice cream. The general trend is that the warmer it gets, the more sales you'll have. So there's an upward trend. We can also say there's a positive correlation as both variables go up together (or go down together).

Contrast this with negative correlation where one variable goes up and the other goes down (eg: hours spent watching tv versus exam score).

Of course, the ice cream example could be too simple and often overused, so it might be better to use something more specific to the company in question. If you picked a company dealing with health/medicine, then you could look at something like height versus weight and see if there's a correlation going on.

The weekly salary is 1353 and tax is 452. So, the percentage of tax is as follows:

Thus, you pay 33.40% tax.

Answer: 40 glasses of syrup

Step-by-step explanation:

Mode is the most common value in the dataset.

The number of llamas in the petting zoo has 13, and the number of kangaroos is 34.

Let the number of llamas in the petting zoo be x, and the number of kangaroos in the petting zoo be y.

Thus, we can write two equations from the given conditions:

Equation 1: x + y = 47

Equation 2: 4x + 2y = 120

(since each llama has 4 legs and each kangaroo has 2 legs)

Simplifying equation 2:2x + y = 60

Now we have two equations with two unknowns.

To solve them, we can either use substitution or elimination.

Using substitution, we can solve equation 1 for y in terms of x:y = 47 - x

Now we substitute this expression for y in equation 2:2x + (47 - x) = 60

Simplifying: x + 47 = 60x = 13

Now we can use either equation 1 or 2 to find y:x + y = 47y = 47 - xy = 47 - 13y = 34

Therefore, the petting zoo has 13 llamas and 34 kangaroos.

To know more about similar question visit:

https://brainly.com/question/16625661

#SPJ11

If the students in the statistics class are seated in four rows of 10 students each, the population size is 40.

In this scenario, the statistics class consists of four rows, and each row has 10 students. To determine the population size, we need to calculate the total number of students in the class.

Since there are four rows with 10 students each, we can multiply the number of rows (4) by the number of students per row (10) to find the total number of students:

4 rows * 10 students/row = 40 students

Therefore, the population size of the statistics class in this scenario is 40 students.

Learn more about statistics here:

brainly.com/question/33628778

#SPJ11

Answer:

1 9/40

Step by step explanation:

\frac{49}{40}=1\frac{9}{40}

The value of Evan's investment after 8 years would be approximately $11,657.44.

To calculate the value of Evan's investment after 8 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal amount (initial investment)

r is the annual interest rate (as a decimal)

n is the number of times interest is compounded per year

t is the number of years

In this case, Evan's principal amount is $8000, the annual interest rate is 4.7% (0.047 as a decimal), and the interest is compounded monthly (n = 12). The investment period is 8 years (t = 8).

Plugging in the values into the formula:

A = 8000(1 + 0.047/12)^(12*8)

Calculating the expression within the parentheses:

(1 + 0.047/12)^(12*8) ≈ 1.45718

Now, we can calculate the final amount:

A = 8000 * 1.45718 ≈ $11,657.44

Know more about investment here:

https://brainly.com/question/15105766

#SPJ11