Una escalera de 30 pies de longitud está apoyada contra una pared de modo que su extremo superior se desliza hacia abajo con una velocidad de 1/2 pies/seg ¿cuál es la tasa de variación de la medida del ángulo formado por la escalera y el piso cuando el extremo superior está a 18 pies del piso?

Answers

Answer 1

Answer:

dα /dt  = -  0.028 rad /sec     or  dα /dt  = - 1.59 °

El signo menos significa que el angulo va decresiendo

Step-by-step explanation:

La escalera, la pared vertical y el pié de la escalera y la pared forman un triangulo rectangulo. En ese triangulo

cos α   (  α  angulo que forma la escalera con el piso )

cos α =   x / L

Tomando derivadas con respecto al tiempo (L es constante ) se tiene:

- sen α  *  dα / dt   =  dx/ dt / L

Cuando  el extremo superior de la escalera está a 18 pies del piso, entonces  sen α  =  18 / 30  =  0.6

dx/dt = 1/2 pie/sec

dα/dt  = - (1/2)/ L* 0.6

dα /dt  = -  0.5 / 18

dα /dt  = -  0.028 rad /sec     or  dα /dt  = - 1.59 °

El signo menos significa que el angulo va decresiendo


Related Questions

Use the diagram below. If m∠3 = 60°, find m∠4.

Answers

The answer is 44 degree.

Answer:

120

Step-by-step explanation:

The given Histogram shows the salaries of the employees of Acme Corporation. What is the total number of employees in Acme Corporation?



A. 210
B. 300
C. 140
D. 100

Answers

The answer is A.210

Because you have to add all the numbers together in the chart.

Answer:

A. 210

Step-by-step explanation:

If you add the number of employees on the bar graph you will obtain your answer of 210 employees at Acme Corporation/Apple InfoTech.

Find the value of x.

Answers

Answer:

16 = x

Step-by-step explanation:

A triangle has 180 degrees. Use this to solve for x

180=(9x-8)+(x+2)+(x+10)

180 = 9x + x + x - 8 + 2 +10

180 + 8 -2 - 10 = 11 x

176 = 11x

176/11 = x

16 = x

How many ways are there to fill the four committee positions?

Answers

Answer:

3 ways

Step-by-step explanation:

since the lowest # of people interested in a position is 3, there can only be 3 different ways to fill an entire 4-person committee

The sector COB is cut from the circle with center O. The ratio of the area of the sector removed from the whole circle to the area of the sector removed from the inner circle is R^2/r^2 .

Answers

Answer:

[tex]Ratio = \frac{R^2 - r^2 }{ r^2}[/tex]

Step-by-step explanation:

Given

See attachment for circles

Required

Ratio of the outer sector to inner sector

The area of a sector is:

[tex]Area = \frac{\theta}{360}\pi r^2[/tex]

For the inner circle

[tex]r \to radius[/tex]

The sector of the inner circle has the following area

[tex]A_1 = \frac{\theta}{360}\pi r^2[/tex]

For the whole circle

[tex]R \to Radius[/tex]

The sector of the outer sector has the following area

[tex]A_2 = \frac{\theta}{360}\pi (R^2 - r^2)[/tex]

So, the ratio of the outer sector to the inner sector is:

[tex]Ratio = A_2 : A_1[/tex]

[tex]Ratio = \frac{\theta}{360}\pi (R^2 - r^2) : \frac{\theta}{360}\pi r^2[/tex]

Cancel out common factor

[tex]Ratio = R^2 - r^2 : r^2[/tex]

Express as fraction

[tex]Ratio = \frac{R^2 - r^2 }{ r^2}[/tex]

What is the vertex of the quadratic function y=-x²+6x+7? ​

Answers

Answer:

(3,16)

Step-by-step explanation:

Factor the equation to find out that the roots are 7 and -1. The vertex's x will be in the center of these two points, so the center point between 7 and -1 is 3. Continue to substitute the x in the equation with 3 to get the other coordinate for vertex.

The bottom part I need help on

Answers

Answer:

the y is 4

and the x is -8

(x,y)

(8,4-)

She is right ♥️do copy that answer

Which is grater and I don’t need any links please and thank you

Answers

-4 is greater since its negative then what you would call a smaller number is always greater

Answer:

-4

Step-by-step explanation:

i would pick ice cream though

Instructions: Find the missing angle measures in the given rhombus.

Answers

I can’t see it broooo

largest possible number that equals 5000 when rounded to one significant figure

Answers

Answer:

four significant digits

Step-by-step explanation:

Find the quotient when (4n6 + 8n5 + 10n4 + 8n2) is divided by 2n.

Answers

Answer:=2n5+4n4+5n3+4n

Step-by-step explanation:

Answer:

C. [tex]2n^{5} + 4n^{4} + 5n^{3} + 4n[/tex]

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Need helppp........!!!!!!!!!!

Answers

i think b...............................
B, not 100% but it should be the correct answer, try using the app socrastic:)

What is the slope of (5,10)and (7,18)

Answers

Step-by-step explanation:

slope = 4

[tex] \frac{18 - 10}{7 - 5} [/tex]

which is

[tex] \frac{8}{2} [/tex]

which is 4

In a certain sequence, the first term equals 24 and each term after the first is 1/2 times the term before it. What is the 4th term of this sequence?

Question 4 options:

192


12


3


6

Answers

3 is the correct answer

A factory inspector found 3 defective microchips out of a total of 750
microchips made. Which proportion can be used to predict the number of
defects, x, in a batch of 10,000 microchips?

Answers

Answer:

Option B

Step-by-step explanation:

Proportion of number of defective pieces to the number of microchips in a batch can be represented by the ratio = [tex]\frac{\text{Number of microchips not in good condition}}{\text{Total numbers of microchips}}[/tex]

If 3 microchips are defective in a batch of 750 microchips,

Proportion = [tex]\frac{3}{750}[/tex]

If 'x' chips are defective in a batch of 10000 microchips,

Proportion = [tex]\frac{x}{10000}[/tex]

If both the proportions are equal,

[tex]\frac{3}{750}=\frac{x}{10000}[/tex]

Therefore, Option B will be the answer.


Christopher rides his bike to and from school every day. The total distance he
rides each day is I mile.
What is the total number of miles that Christopher rides his bike over the 5-day
school week?
PLEASE HELP ME RNNN

Answers

Answer

5 miles

Step-by-step explanation:

If he rides his bike one mile each day school to home each day its going to be 1 mile per day so if its 5 days it is 5 miles

I need help solving this math problem. 21-3+18÷6​

Answers

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

18 divided by 6 equals 3

21 minus 3 equals 18

18 plus 3 equals 21

Can some one help me answer all ten questions they are due at 10:00 I will give out brainly. Part 2

Answers

Answer:   go to quizlet it will most likely have the answers

Step-by-step explanation:

Pls please please help me with this

Answers

The last one should be it

Answer:

the middle one

Step-by-step explanation:

HELPP!! PLS PLS
can someone show me a graph of a line going through (-1,2) with a slope of -3/4

Answers

Answer:

We can start at the given point (-1, 2) and move down 3 units and right 4 units to plot the next point. Repeat this for however long you want the line to be.

Hope this helps!

Here is the diagram:

What is the simplified form of 4 X ? 3 + 7?

Answers

Answer:

4x(10)

Step-by-step explanation:

add 3+7=10

4x is multiplying 3+7=10

4x(10)

MARKING BRAINLIEST IF CORRECT + 50 POINTS!!!!

Part A: If (62)x = 1, what is the value of x? Explain your answer. (5 points)

Part B: If (60)x = 1, what are the possible values of x? Explain your answer. (5 points)

pls explain

Answers

Answer:

Part A : 1/62   Part  b : 1/60

Step-by-step explanation:

Well lets start with part A

(62)x=1

anything in parenthesis means multiply

62x= 1

divide everything by 62 to get x by itself

x= 1/62

Part A : 1/62

Part B : 60x = 1

x = 1/60

because same  reasoning

find the value of x HELP PLS

Answers

Answer:

x= 36

Step-by-step explanation:

both angles together are supplementary and will form 180

Therefore, you know the missing angle can be found by substracting 108 from 180

180 - 108 = 72

72 = 2x

Answer:

36°

Step-by-step explanation:

2x+108°=180°

2x=72°

x=36°

PLEASE HELPP !!

Mona can walk from home to school following the roads, or she can cut across a
footpath as shown in the diagram below. Along the roads she walks 600 meters
east and 800 meters south.

how many meters less does she walk by cutting across the foot path?

Answers

Answer:

Step-by-step explanation:

are about 2.5 meters above

1 2/3 -2/9st step by step​

Answers

Answer:

stay safe healthy and happy...

14) When did the high temperature occur?
Please help

Answers

Answer:

D; 15

Step-by-step explanation:

Because the highest point on the graph is at 15 (or 3 am), that would be the highest temperature. (Also, none of the other choices make sense; they are all at relatively low temperatures).

the answer to ur question is d.15

PLEASE HELP!!!! Write a solution for the equation 6x-8=4x

Answers

Answer:

X=4

Hope this helped some.

Answer:

4=X

Step-by-step explanation:

6X-8=4X

-8=-2X

-8/-2= 4X

The graph shows the proportional relationship between the side lengths of a square and its perimeter. Which equation shows the same relationship between the side length and the perimeter of a square? Perimeter of Square P. 32 28 24 P 15 Perimeter (inches) 20 16 12 P1 8 0 2 4 6 8 Side Length (inches) P 418​

Answers

Answer:

y=4x

Step-by-step explanation:

Write the equation of linear function

Substitute:  

Multiply the monomials:  

Rearrange unknown terms to the left side of the equation:  

Reduce the greatest common factor on both sides of the equation:  

Rearrange unknown terms to the left side of the equation:  

Divide both sides of the equation by the coefficient of variable:  

Substitute one unknown quantity into the elimination:  

Solve the equation: m=4

Write the solution set of the equations:  

Substitute: y=4x

Answer: y=4x

Write six hundred seventeen thousand two hundred five in scientific notation.
A. 6.1720x 10^4
B. 6.17205x 10^5
C. 6.17205x 10^-5
D. 6.17x 10^6

Answers

the answer is “b” 6.17205x 10^5

I need help on this problem

Answers

Answer:

c= 15 mi

Step-by-step explanation:

Pythagorean theorem.  a^+b^=c^

Square root of that

answer 15

Answer:

15

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

9^2 + 12 ^2 = c^2

81+144= c^2

225 = c^2

Take the square root of each side

sqrt(225) = sqrt(c^2)

15 =c

Other Questions
which statement accurately describes the scatterplot An airplane flying into a headwind travels the -mile flying distance between Indianapolis, Indiana, and Phoenix, Arizona, in hours. On the return flight, the airplane travels this distance in hours and minutes. Find the airspeed of the plane and the speed of the wind, assuming that both remain constant. Which description of Louis and Clark is correct television set changes electrical energy to sound and light energy. In this process, some energy is * The reproductive organs of the maleThe reproductive organs of the female are theThe ovaries produce theThe testes produce the Word Bank ovaries, testes, sperm, eggs Tenemos 2 rectangulos, el primero mide 15 centimetros de largo y 4 centimetros de ancho al formar el segundo rectangulo se duplica las medidas cuales seran sus medidas How many terms are there in this expression? 3a + b - 4c -365 Instructions: Write a journal entry on the following prompt. Answer the following questions. Prompt: Imagine you are offered the chance to receive a computer without having to worry about the cost. 1) What types of hardware do you want? 2) What special features does your computer have? 3) What sort of software do you want to have on your computer? ( Will Mark Brainliest) Alice sells boxes of candy at the baseball game and wants to know the mean number of boxes she sells. The numbers for the games so far are listed below. 16, 14, 14, 21, 15 I WILL GIVE BRAINLESS IF YOU HELP ME PLZS.O.S I HAVE MATH Can someone please help me write two paragraphs but u need to use 6 of these words AdmitBenefit Circuit Deposit Exhibit OpinionPersuadeProhibit SummitTransmitBut u need to write about a persuasive writing and u need to write about how to persuade your parents to keep a pet that u found (it could be any pet) Select all the correct answers.When people run quickly, they can sweat profusely. Their muscles undergo movement, and the loss of energy takes place. Based on this description, in which two ways is energy conserved when people run?1. Heat energy is released from the body to the surroundings.2. Heat energy is taken from the surroundings to the body.3.Chemical energy is converted to mechanical energy thats used for muscle movements.4.Radiant energy is converted to mechanical energy thats used for muscle movements.5.Heat energy is converted to mechanical energy thats used for muscle movements. please helpppppp... i'll give u brainliest Select the correct answer.What does the number, or density, of field lines on a source charge indicate?O A.direction of charge on the source chargeOB.amount of charge on the test chargeO c.amount of charge on the source chargeOD.direction of charge on the test chargeResetNext Complete the equation of this circle:PLEASE ONLY ANSWER IF YOU KNOW FOR SURE!!!!!...FILL IN ALL BLANKS Find sentences in which the speaker uses ethical appeals by describing himself favorably and claiming to possess virtues that - considering the nature of his proposal he could not possibly have. Which sentence presents a faulty either/or argument? If we dont double teachers salaries, then the public education system in this country will fail. If we value education as much as we claim, we should put our money where our mouth is and raise teachers salaries. Increasing teacher salaries might attract more competent individuals to the profession. Perhaps more teachers would continue to teach, rather than leave the field, if their salaries were higher. Question 2 of 20Which of the following are roots of the polynomial function below?Check all that apply.F(x) = x3 - 3x2 + 2O A. 2+ v12B.2-123 + 17D. 1E. 3-17SUBMIT The frequency of a wave does not change as it passes from one medium to another.What will most likely happen if a light wave moves from the air into a solid?O The wavelength of the light wave will increase.O The speed of the light wave will decrease.O The wavelength of the light wave will remain the same.O The speed of the light wave will remain the same. hhhhhhheeeeeeeeeeeeeeeellllllllllllllllllppppppppppppp mmmmmmmmmmmmmeeeeeeeeeeeeee