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

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

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

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.

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°

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)

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

Answers

Answer:

four significant digits

Step-by-step explanation:

1 2/3 -2/9st step by step​

Answers

Answer:

stay safe healthy and happy...

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

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

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

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:


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

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.

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:

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

Answers

I can’t see it broooo

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

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

Pls please please help me with this

Answers

The last one should be it

Answer:

the middle one

Step-by-step explanation:

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

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

Answers

The answer is 44 degree.

Answer:

120

Step-by-step explanation:

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Answers

Answer:

X=4

Hope this helped some.

Answer:

4=X

Step-by-step explanation:

6X-8=4X

-8=-2X

-8/-2= 4X

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.

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

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

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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

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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]

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.

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